<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>http://www.physicsbook.gatech.edu/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=Owenfisher16</id>
	<title>Physics Book - User contributions [en]</title>
	<link rel="self" type="application/atom+xml" href="http://www.physicsbook.gatech.edu/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=Owenfisher16"/>
	<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/Special:Contributions/Owenfisher16"/>
	<updated>2026-04-29T17:25:17Z</updated>
	<subtitle>User contributions</subtitle>
	<generator>MediaWiki 1.42.7</generator>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9939</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9939"/>
		<updated>2015-12-03T07:44:19Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher (ofisher3)&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
[[File:Figure_20_05_06(a)a.jpg]]&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
[[File:u8l1e3.gif]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
Suppose that you have a negatively charged tape hanging from the desk, and you rub a wooden pencil on a wool sweater and bring it near the tape.&lt;br /&gt;
*If the tape swings toward the pencil, does this show that the pencil had been positively by rubbing it on the wool?&lt;br /&gt;
Not necessarily. Even if the pencil is uncharged, the charged tape will polarize the and be attracted by the induced dipoles.&lt;br /&gt;
*Can a charged object repel a neutral object? Why or why not?&lt;br /&gt;
Polarization always brings the unlike-sign charge closer, yielding a net attraction. Repulsion of an induced dipole can&#039;t happen. Therefore repulsion is the better test of whether an object is charged.&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
*Question Why are charged objects attracted to neutral objects?&lt;br /&gt;
The attraction of both positively and negatively charged invisible tape to your hand, and to many other neutral objects, is deeply mysterious. The net charge of a neutral object is zero, so your neutral hand should not make an electric field that could act on a charged tape, nor should your neutral hand experience a force due to the electric field made by a charged tape. Nothing in our statement of the properties of electric interactions allows us to explain this attraction!&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:Difficult Question.JPG]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
The two scientists accredited with first coming up with the electron cloud model of the atom, on which atom polarization is based upon, are Ernest Rutherford, a New Zealand born British scientist, and Niels Bohr, a Danish physicist.  Both of these gentlemen&#039;s atom models included the electron cloud.  Rutherford released his model in 1911, and Bohr came out with his model shortly thereafter in 1913. Rutherford&#039;s model however, suggested that all atoms were unstable.  Bohr corrected this by suggesting that the electrons in the atom could only have certain classical motions.  Without these two men, we could never have discovered how the polarization of an atom works.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;Polarization Functions for First and Second Row Atoms in Gaussian type MO-SCF Calculations&#039;&#039; by B. Roos and P. Siegbahn&lt;br /&gt;
*&#039;&#039;General Contraction of Gaussian Atomic Orbitals: Core, Valence, Polarization, and Diffuse Basis Sets&#039;&#039; by Richard C. Raffenetti&lt;br /&gt;
*&#039;&#039;Polarization Propagator Methods in Atomic and Molecular Calculations&#039;&#039; by Jens Oddershede, Poul Jørgensen, and Danny L. Yeager&lt;br /&gt;
*&#039;&#039;Phase of the Atomic Polarization in High-Order Harmonic Generation&#039;&#039; by Maciej Lewenstein, Pascal Salières, and Anne L’Huillier&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
https://en.wikipedia.org/wiki/Bohr_model&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9937</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9937"/>
		<updated>2015-12-03T07:41:21Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Difficult */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
[[File:Figure_20_05_06(a)a.jpg]]&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
[[File:u8l1e3.gif]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
Suppose that you have a negatively charged tape hanging from the desk, and you rub a wooden pencil on a wool sweater and bring it near the tape.&lt;br /&gt;
*If the tape swings toward the pencil, does this show that the pencil had been positively by rubbing it on the wool?&lt;br /&gt;
Not necessarily. Even if the pencil is uncharged, the charged tape will polarize the and be attracted by the induced dipoles.&lt;br /&gt;
*Can a charged object repel a neutral object? Why or why not?&lt;br /&gt;
Polarization always brings the unlike-sign charge closer, yielding a net attraction. Repulsion of an induced dipole can&#039;t happen. Therefore repulsion is the better test of whether an object is charged.&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
*Question Why are charged objects attracted to neutral objects?&lt;br /&gt;
The attraction of both positively and negatively charged invisible tape to your hand, and to many other neutral objects, is deeply mysterious. The net charge of a neutral object is zero, so your neutral hand should not make an electric field that could act on a charged tape, nor should your neutral hand experience a force due to the electric field made by a charged tape. Nothing in our statement of the properties of electric interactions allows us to explain this attraction!&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:Difficult Question.JPG]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
The two scientists accredited with first coming up with the electron cloud model of the atom, on which atom polarization is based upon, are Ernest Rutherford, a New Zealand born British scientist, and Niels Bohr, a Danish physicist.  Both of these gentlemen&#039;s atom models included the electron cloud.  Rutherford released his model in 1911, and Bohr came out with his model shortly thereafter in 1913. Rutherford&#039;s model however, suggested that all atoms were unstable.  Bohr corrected this by suggesting that the electrons in the atom could only have certain classical motions.  Without these two men, we could never have discovered how the polarization of an atom works.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;Polarization Functions for First and Second Row Atoms in Gaussian type MO-SCF Calculations&#039;&#039; by B. Roos and P. Siegbahn&lt;br /&gt;
*&#039;&#039;General Contraction of Gaussian Atomic Orbitals: Core, Valence, Polarization, and Diffuse Basis Sets&#039;&#039; by Richard C. Raffenetti&lt;br /&gt;
*&#039;&#039;Polarization Propagator Methods in Atomic and Molecular Calculations&#039;&#039; by Jens Oddershede, Poul Jørgensen, and Danny L. Yeager&lt;br /&gt;
*&#039;&#039;Phase of the Atomic Polarization in High-Order Harmonic Generation&#039;&#039; by Maciej Lewenstein, Pascal Salières, and Anne L’Huillier&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
https://en.wikipedia.org/wiki/Bohr_model&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9936</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9936"/>
		<updated>2015-12-03T07:38:02Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Difficult */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
[[File:Figure_20_05_06(a)a.jpg]]&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
[[File:u8l1e3.gif]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
Suppose that you have a negatively charged tape hanging from the desk, and you rub a wooden pencil on a wool sweater and bring it near the tape.&lt;br /&gt;
*If the tape swings toward the pencil, does this show that the pencil had been positively by rubbing it on the wool?&lt;br /&gt;
Not necessarily. Even if the pencil is uncharged, the charged tape will polarize the and be attracted by the induced dipoles.&lt;br /&gt;
*Can a charged object repel a neutral object? Why or why not?&lt;br /&gt;
Polarization always brings the unlike-sign charge closer, yielding a net attraction. Repulsion of an induced dipole can&#039;t happen. Therefore repulsion is the better test of whether an object is charged.&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
*Question Why are charged objects attracted to neutral objects?&lt;br /&gt;
The attraction of both positively and negatively charged invisible tape to your hand, and to many other neutral objects, is deeply mysterious. The net charge of a neutral object is zero, so your neutral hand should not make an electric field that could act on a charged tape, nor should your neutral hand experience a force due to the electric field made by a charged tape. Nothing in our statement of the properties of electric interactions allows us to explain this attraction!&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
[[File:DifficultQuestion.jpg]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
The two scientists accredited with first coming up with the electron cloud model of the atom, on which atom polarization is based upon, are Ernest Rutherford, a New Zealand born British scientist, and Niels Bohr, a Danish physicist.  Both of these gentlemen&#039;s atom models included the electron cloud.  Rutherford released his model in 1911, and Bohr came out with his model shortly thereafter in 1913. Rutherford&#039;s model however, suggested that all atoms were unstable.  Bohr corrected this by suggesting that the electrons in the atom could only have certain classical motions.  Without these two men, we could never have discovered how the polarization of an atom works.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;Polarization Functions for First and Second Row Atoms in Gaussian type MO-SCF Calculations&#039;&#039; by B. Roos and P. Siegbahn&lt;br /&gt;
*&#039;&#039;General Contraction of Gaussian Atomic Orbitals: Core, Valence, Polarization, and Diffuse Basis Sets&#039;&#039; by Richard C. Raffenetti&lt;br /&gt;
*&#039;&#039;Polarization Propagator Methods in Atomic and Molecular Calculations&#039;&#039; by Jens Oddershede, Poul Jørgensen, and Danny L. Yeager&lt;br /&gt;
*&#039;&#039;Phase of the Atomic Polarization in High-Order Harmonic Generation&#039;&#039; by Maciej Lewenstein, Pascal Salières, and Anne L’Huillier&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
https://en.wikipedia.org/wiki/Bohr_model&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9934</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9934"/>
		<updated>2015-12-03T07:35:18Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Difficult */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
[[File:Figure_20_05_06(a)a.jpg]]&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
[[File:u8l1e3.gif]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
Suppose that you have a negatively charged tape hanging from the desk, and you rub a wooden pencil on a wool sweater and bring it near the tape.&lt;br /&gt;
*If the tape swings toward the pencil, does this show that the pencil had been positively by rubbing it on the wool?&lt;br /&gt;
Not necessarily. Even if the pencil is uncharged, the charged tape will polarize the and be attracted by the induced dipoles.&lt;br /&gt;
*Can a charged object repel a neutral object? Why or why not?&lt;br /&gt;
Polarization always brings the unlike-sign charge closer, yielding a net attraction. Repulsion of an induced dipole can&#039;t happen. Therefore repulsion is the better test of whether an object is charged.&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
*Question Why are charged objects attracted to neutral objects?&lt;br /&gt;
The attraction of both positively and negatively charged invisible tape to your hand, and to many other neutral objects, is deeply mysterious. The net charge of a neutral object is zero, so your neutral hand should not make an electric field that could act on a charged tape, nor should your neutral hand experience a force due to the electric field made by a charged tape. Nothing in our statement of the properties of electric interactions allows us to explain this attraction!&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
 [[File:DifficultQuestion.JPG]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
The two scientists accredited with first coming up with the electron cloud model of the atom, on which atom polarization is based upon, are Ernest Rutherford, a New Zealand born British scientist, and Niels Bohr, a Danish physicist.  Both of these gentlemen&#039;s atom models included the electron cloud.  Rutherford released his model in 1911, and Bohr came out with his model shortly thereafter in 1913. Rutherford&#039;s model however, suggested that all atoms were unstable.  Bohr corrected this by suggesting that the electrons in the atom could only have certain classical motions.  Without these two men, we could never have discovered how the polarization of an atom works.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;Polarization Functions for First and Second Row Atoms in Gaussian type MO-SCF Calculations&#039;&#039; by B. Roos and P. Siegbahn&lt;br /&gt;
*&#039;&#039;General Contraction of Gaussian Atomic Orbitals: Core, Valence, Polarization, and Diffuse Basis Sets&#039;&#039; by Richard C. Raffenetti&lt;br /&gt;
*&#039;&#039;Polarization Propagator Methods in Atomic and Molecular Calculations&#039;&#039; by Jens Oddershede, Poul Jørgensen, and Danny L. Yeager&lt;br /&gt;
*&#039;&#039;Phase of the Atomic Polarization in High-Order Harmonic Generation&#039;&#039; by Maciej Lewenstein, Pascal Salières, and Anne L’Huillier&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
https://en.wikipedia.org/wiki/Bohr_model&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Difficult_Question.JPG&amp;diff=9931</id>
		<title>File:Difficult Question.JPG</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Difficult_Question.JPG&amp;diff=9931"/>
		<updated>2015-12-03T07:33:42Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: Owenfisher16 uploaded a new version of &amp;amp;quot;File:Difficult Question.JPG&amp;amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9930</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9930"/>
		<updated>2015-12-03T07:33:05Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Difficult */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
[[File:Figure_20_05_06(a)a.jpg]]&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
[[File:u8l1e3.gif]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
Suppose that you have a negatively charged tape hanging from the desk, and you rub a wooden pencil on a wool sweater and bring it near the tape.&lt;br /&gt;
*If the tape swings toward the pencil, does this show that the pencil had been positively by rubbing it on the wool?&lt;br /&gt;
Not necessarily. Even if the pencil is uncharged, the charged tape will polarize the and be attracted by the induced dipoles.&lt;br /&gt;
*Can a charged object repel a neutral object? Why or why not?&lt;br /&gt;
Polarization always brings the unlike-sign charge closer, yielding a net attraction. Repulsion of an induced dipole can&#039;t happen. Therefore repulsion is the better test of whether an object is charged.&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
*Question Why are charged objects attracted to neutral objects?&lt;br /&gt;
The attraction of both positively and negatively charged invisible tape to your hand, and to many other neutral objects, is deeply mysterious. The net charge of a neutral object is zero, so your neutral hand should not make an electric field that could act on a charged tape, nor should your neutral hand experience a force due to the electric field made by a charged tape. Nothing in our statement of the properties of electric interactions allows us to explain this attraction!&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
 [[File:Difficult Question.jpg]]&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
The two scientists accredited with first coming up with the electron cloud model of the atom, on which atom polarization is based upon, are Ernest Rutherford, a New Zealand born British scientist, and Niels Bohr, a Danish physicist.  Both of these gentlemen&#039;s atom models included the electron cloud.  Rutherford released his model in 1911, and Bohr came out with his model shortly thereafter in 1913. Rutherford&#039;s model however, suggested that all atoms were unstable.  Bohr corrected this by suggesting that the electrons in the atom could only have certain classical motions.  Without these two men, we could never have discovered how the polarization of an atom works.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;Polarization Functions for First and Second Row Atoms in Gaussian type MO-SCF Calculations&#039;&#039; by B. Roos and P. Siegbahn&lt;br /&gt;
*&#039;&#039;General Contraction of Gaussian Atomic Orbitals: Core, Valence, Polarization, and Diffuse Basis Sets&#039;&#039; by Richard C. Raffenetti&lt;br /&gt;
*&#039;&#039;Polarization Propagator Methods in Atomic and Molecular Calculations&#039;&#039; by Jens Oddershede, Poul Jørgensen, and Danny L. Yeager&lt;br /&gt;
*&#039;&#039;Phase of the Atomic Polarization in High-Order Harmonic Generation&#039;&#039; by Maciej Lewenstein, Pascal Salières, and Anne L’Huillier&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
https://en.wikipedia.org/wiki/Bohr_model&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Difficult_Question.JPG&amp;diff=9927</id>
		<title>File:Difficult Question.JPG</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Difficult_Question.JPG&amp;diff=9927"/>
		<updated>2015-12-03T07:31:27Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Difficult_Question.PNG&amp;diff=9923</id>
		<title>File:Difficult Question.PNG</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Difficult_Question.PNG&amp;diff=9923"/>
		<updated>2015-12-03T07:26:42Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9905</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9905"/>
		<updated>2015-12-03T07:03:49Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
[[File:Figure_20_05_06(a)a.jpg]]&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
[[File:u8l1e3.gif]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
Suppose that you have a negatively charged tape hanging from the desk, and you rub a wooden pencil on a wool sweater and bring it near the tape.&lt;br /&gt;
*If the tape swings toward the pencil, does this show that the pencil had been positively by rubbing it on the wool?&lt;br /&gt;
Not necessarily. Even if the pencil is uncharged, the charged tape will polarize the and be attracted by the induced dipoles.&lt;br /&gt;
*Can a charged object repel a neutral object? Why or why not?&lt;br /&gt;
Polarization always brings the unlike-sign charge closer, yielding a net attraction. Repulsion of an induced dipole can&#039;t happen. Therefore repulsion is the better test of whether an object is charged.&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
*Question Why are charged objects attracted to neutral objects?&lt;br /&gt;
The attraction of both positively and negatively charged invisible tape to your hand, and to many other neutral objects, is deeply mysterious. The net charge of a neutral object is zero, so your neutral hand should not make an electric field that could act on a charged tape, nor should your neutral hand experience a force due to the electric field made by a charged tape. Nothing in our statement of the properties of electric interactions allows us to explain this attraction!&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
The two scientists accredited with first coming up with the electron cloud model of the atom, on which atom polarization is based upon, are Ernest Rutherford, a New Zealand born British scientist, and Niels Bohr, a Danish physicist.  Both of these gentlemen&#039;s atom models included the electron cloud.  Rutherford released his model in 1911, and Bohr came out with his model shortly thereafter in 1913. Rutherford&#039;s model however, suggested that all atoms were unstable.  Bohr corrected this by suggesting that the electrons in the atom could only have certain classical motions.  Without these two men, we could never have discovered how the polarization of an atom works.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;Polarization Functions for First and Second Row Atoms in Gaussian type MO-SCF Calculations&#039;&#039; by B. Roos and P. Siegbahn&lt;br /&gt;
*&#039;&#039;General Contraction of Gaussian Atomic Orbitals: Core, Valence, Polarization, and Diffuse Basis Sets&#039;&#039; by Richard C. Raffenetti&lt;br /&gt;
*&#039;&#039;Polarization Propagator Methods in Atomic and Molecular Calculations&#039;&#039; by Jens Oddershede, Poul Jørgensen, and Danny L. Yeager&lt;br /&gt;
*&#039;&#039;Phase of the Atomic Polarization in High-Order Harmonic Generation&#039;&#039; by Maciej Lewenstein, Pascal Salières, and Anne L’Huillier&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
https://en.wikipedia.org/wiki/Bohr_model&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9897</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9897"/>
		<updated>2015-12-03T06:59:41Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Middling */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
[[File:Figure_20_05_06(a)a.jpg]]&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
[[File:u8l1e3.gif]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
Suppose that you have a negatively charged tape hanging from the desk, and you rub a wooden pencil on a wool sweater and bring it near the tape.&lt;br /&gt;
*If the tape swings toward the pencil, does this show that the pencil had been positively by rubbing it on the wool?&lt;br /&gt;
Not necessarily. Even if the pencil is uncharged, the charged tape will polarize the and be attracted by the induced dipoles.&lt;br /&gt;
*Can a charged object repel a neutral object? Why or why not?&lt;br /&gt;
Polarization always brings the unlike-sign charge closer, yielding a net attraction. Repulsion of an induced dipole can&#039;t happen. Therefore repulsion is the better test of whether an object is charged.&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
*Question Why are charged objects attracted to neutral objects?&lt;br /&gt;
The attraction of both positively and negatively charged invisible tape to your hand, and to many other neutral objects, is deeply mysterious. The net charge of a neutral object is zero, so your neutral hand should not make an electric field that could act on a charged tape, nor should your neutral hand experience a force due to the electric field made by a charged tape. Nothing in our statement of the properties of electric interactions allows us to explain this attraction!&lt;br /&gt;
&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
The two scientists accredited with first coming up with the electron cloud model of the atom, on which atom polarization is based upon, are Ernest Rutherford, a New Zealand born British scientist, and Niels Bohr, a Danish physicist.  Both of these gentlemen&#039;s atom models included the electron cloud.  Rutherford released his model in 1911, and Bohr came out with his model shortly thereafter in 1913. Rutherford&#039;s model however, suggested that all atoms were unstable.  Bohr corrected this by suggesting that the electrons in the atom could only have certain classical motions.  Without these two men, we could never have discovered how the polarization of an atom works.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;Polarization Functions for First and Second Row Atoms in Gaussian type MO-SCF Calculations&#039;&#039; by B. Roos and P. Siegbahn&lt;br /&gt;
*&#039;&#039;General Contraction of Gaussian Atomic Orbitals: Core, Valence, Polarization, and Diffuse Basis Sets&#039;&#039; by Richard C. Raffenetti&lt;br /&gt;
*&#039;&#039;Polarization Propagator Methods in Atomic and Molecular Calculations&#039;&#039; by Jens Oddershede, Poul Jørgensen, and Danny L. Yeager&lt;br /&gt;
*&#039;&#039;Phase of the Atomic Polarization in High-Order Harmonic Generation&#039;&#039; by Maciej Lewenstein, Pascal Salières, and Anne L’Huillier&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9878</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9878"/>
		<updated>2015-12-03T06:42:29Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Simple */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
[[File:Figure_20_05_06(a)a.jpg]]&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
[[File:u8l1e3.gif]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
Suppose that you have a negatively charged tape hanging from the desk, and you rub a wooden pencil on a wool sweater and bring it near the tape.&lt;br /&gt;
*If the tape swings toward the pencil, does this show that the pencil had been positively by rubbing it on the wool?&lt;br /&gt;
Not necessarily. Even if the pencil is uncharged, the charged tape will polarize the and be attracted by the induced dipoles.&lt;br /&gt;
*Can a charged object repel a neutral object? Why or why not?&lt;br /&gt;
Polarization always brings the unlike-sign charge closer, yielding a net attraction. Repulsion of an induced dipole can&#039;t happen. Therefore repulsion is the better test of whether an object is charged.&lt;br /&gt;
&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
The two scientists accredited with first coming up with the electron cloud model of the atom, on which atom polarization is based upon, are Ernest Rutherford, a New Zealand born British scientist, and Niels Bohr, a Danish physicist.  Both of these gentlemen&#039;s atom models included the electron cloud.  Rutherford released his model in 1911, and Bohr came out with his model shortly thereafter in 1913. Rutherford&#039;s model however, suggested that all atoms were unstable.  Bohr corrected this by suggesting that the electrons in the atom could only have certain classical motions.  Without these two men, we could never have discovered how the polarization of an atom works.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;Polarization Functions for First and Second Row Atoms in Gaussian type MO-SCF Calculations&#039;&#039; by B. Roos and P. Siegbahn&lt;br /&gt;
*&#039;&#039;General Contraction of Gaussian Atomic Orbitals: Core, Valence, Polarization, and Diffuse Basis Sets&#039;&#039; by Richard C. Raffenetti&lt;br /&gt;
*&#039;&#039;Polarization Propagator Methods in Atomic and Molecular Calculations&#039;&#039; by Jens Oddershede, Poul Jørgensen, and Danny L. Yeager&lt;br /&gt;
*&#039;&#039;Phase of the Atomic Polarization in High-Order Harmonic Generation&#039;&#039; by Maciej Lewenstein, Pascal Salières, and Anne L’Huillier&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9669</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9669"/>
		<updated>2015-12-03T05:34:53Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* The Main Idea */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
[[File:Figure_20_05_06(a)a.jpg]]&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
[[File:u8l1e3.gif]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
The two scientists accredited with first coming up with the electron cloud model of the atom, on which atom polarization is based upon, are Ernest Rutherford, a New Zealand born British scientist, and Niels Bohr, a Danish physicist.  Both of these gentlemen&#039;s atom models included the electron cloud.  Rutherford released his model in 1911, and Bohr came out with his model shortly thereafter in 1913. Rutherford&#039;s model however, suggested that all atoms were unstable.  Bohr corrected this by suggesting that the electrons in the atom could only have certain classical motions.  Without these two men, we could never have discovered how the polarization of an atom works.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;Polarization Functions for First and Second Row Atoms in Gaussian type MO-SCF Calculations&#039;&#039; by B. Roos and P. Siegbahn&lt;br /&gt;
*&#039;&#039;General Contraction of Gaussian Atomic Orbitals: Core, Valence, Polarization, and Diffuse Basis Sets&#039;&#039; by Richard C. Raffenetti&lt;br /&gt;
*&#039;&#039;Polarization Propagator Methods in Atomic and Molecular Calculations&#039;&#039; by Jens Oddershede, Poul Jørgensen, and Danny L. Yeager&lt;br /&gt;
*&#039;&#039;Phase of the Atomic Polarization in High-Order Harmonic Generation&#039;&#039; by Maciej Lewenstein, Pascal Salières, and Anne L’Huillier&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9665</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9665"/>
		<updated>2015-12-03T05:33:39Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* A Computational Model */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
[[File:u8l1e3.gif]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
The two scientists accredited with first coming up with the electron cloud model of the atom, on which atom polarization is based upon, are Ernest Rutherford, a New Zealand born British scientist, and Niels Bohr, a Danish physicist.  Both of these gentlemen&#039;s atom models included the electron cloud.  Rutherford released his model in 1911, and Bohr came out with his model shortly thereafter in 1913. Rutherford&#039;s model however, suggested that all atoms were unstable.  Bohr corrected this by suggesting that the electrons in the atom could only have certain classical motions.  Without these two men, we could never have discovered how the polarization of an atom works.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;Polarization Functions for First and Second Row Atoms in Gaussian type MO-SCF Calculations&#039;&#039; by B. Roos and P. Siegbahn&lt;br /&gt;
*&#039;&#039;General Contraction of Gaussian Atomic Orbitals: Core, Valence, Polarization, and Diffuse Basis Sets&#039;&#039; by Richard C. Raffenetti&lt;br /&gt;
*&#039;&#039;Polarization Propagator Methods in Atomic and Molecular Calculations&#039;&#039; by Jens Oddershede, Poul Jørgensen, and Danny L. Yeager&lt;br /&gt;
*&#039;&#039;Phase of the Atomic Polarization in High-Order Harmonic Generation&#039;&#039; by Maciej Lewenstein, Pascal Salières, and Anne L’Huillier&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9663</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9663"/>
		<updated>2015-12-03T05:32:53Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* A Computational Model */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
[[File:u8l1e3.gif|200px|thumb|left|alt text]]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
The two scientists accredited with first coming up with the electron cloud model of the atom, on which atom polarization is based upon, are Ernest Rutherford, a New Zealand born British scientist, and Niels Bohr, a Danish physicist.  Both of these gentlemen&#039;s atom models included the electron cloud.  Rutherford released his model in 1911, and Bohr came out with his model shortly thereafter in 1913. Rutherford&#039;s model however, suggested that all atoms were unstable.  Bohr corrected this by suggesting that the electrons in the atom could only have certain classical motions.  Without these two men, we could never have discovered how the polarization of an atom works.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;Polarization Functions for First and Second Row Atoms in Gaussian type MO-SCF Calculations&#039;&#039; by B. Roos and P. Siegbahn&lt;br /&gt;
*&#039;&#039;General Contraction of Gaussian Atomic Orbitals: Core, Valence, Polarization, and Diffuse Basis Sets&#039;&#039; by Richard C. Raffenetti&lt;br /&gt;
*&#039;&#039;Polarization Propagator Methods in Atomic and Molecular Calculations&#039;&#039; by Jens Oddershede, Poul Jørgensen, and Danny L. Yeager&lt;br /&gt;
*&#039;&#039;Phase of the Atomic Polarization in High-Order Harmonic Generation&#039;&#039; by Maciej Lewenstein, Pascal Salières, and Anne L’Huillier&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:Figure_20_05_06(a)a.jpg&amp;diff=9660</id>
		<title>File:Figure 20 05 06(a)a.jpg</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:Figure_20_05_06(a)a.jpg&amp;diff=9660"/>
		<updated>2015-12-03T05:30:54Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=File:U8l1e3.gif&amp;diff=9642</id>
		<title>File:U8l1e3.gif</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=File:U8l1e3.gif&amp;diff=9642"/>
		<updated>2015-12-03T05:25:26Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9534</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9534"/>
		<updated>2015-12-03T04:49:04Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* History */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
The two scientists accredited with first coming up with the electron cloud model of the atom, on which atom polarization is based upon, are Ernest Rutherford, a New Zealand born British scientist, and Niels Bohr, a Danish physicist.  Both of these gentlemen&#039;s atom models included the electron cloud.  Rutherford released his model in 1911, and Bohr came out with his model shortly thereafter in 1913. Rutherford&#039;s model however, suggested that all atoms were unstable.  Bohr corrected this by suggesting that the electrons in the atom could only have certain classical motions.  Without these two men, we could never have discovered how the polarization of an atom works.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;Polarization Functions for First and Second Row Atoms in Gaussian type MO-SCF Calculations&#039;&#039; by B. Roos and P. Siegbahn&lt;br /&gt;
*&#039;&#039;General Contraction of Gaussian Atomic Orbitals: Core, Valence, Polarization, and Diffuse Basis Sets&#039;&#039; by Richard C. Raffenetti&lt;br /&gt;
*&#039;&#039;Polarization Propagator Methods in Atomic and Molecular Calculations&#039;&#039; by Jens Oddershede, Poul Jørgensen, and Danny L. Yeager&lt;br /&gt;
*&#039;&#039;Phase of the Atomic Polarization in High-Order Harmonic Generation&#039;&#039; by Maciej Lewenstein, Pascal Salières, and Anne L’Huillier&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9199</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9199"/>
		<updated>2015-12-03T03:12:11Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Further reading */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*&#039;&#039;Polarization Functions for First and Second Row Atoms in Gaussian type MO-SCF Calculations&#039;&#039; by B. Roos and P. Siegbahn&lt;br /&gt;
*&#039;&#039;General Contraction of Gaussian Atomic Orbitals: Core, Valence, Polarization, and Diffuse Basis Sets&#039;&#039; by Richard C. Raffenetti&lt;br /&gt;
*&#039;&#039;Polarization Propagator Methods in Atomic and Molecular Calculations&#039;&#039; by Jens Oddershede, Poul Jørgensen, and Danny L. Yeager&lt;br /&gt;
*&#039;&#039;Phase of the Atomic Polarization in High-Order Harmonic Generation&#039;&#039; by Maciej Lewenstein, Pascal Salières, and Anne L’Huillier&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9196</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9196"/>
		<updated>2015-12-03T03:11:35Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Further reading */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
*Polarization Functions for First and Second Row Atoms in Gaussian type MO-SCF Calculations by B. Roos and P. Siegbahn&lt;br /&gt;
*General Contraction of Gaussian Atomic Orbitals: Core, Valence, Polarization, and Diffuse Basis Sets by Richard C. Raffenetti&lt;br /&gt;
*Polarization Propagator Methods in Atomic and Molecular Calculations by Jens Oddershede, Poul Jørgensen, and Danny L. Yeager&lt;br /&gt;
*Phase of the Atomic Polarization in High-Order Harmonic Generation by Maciej Lewenstein, Pascal Salières, and Anne L’Huillier&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9133</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9133"/>
		<updated>2015-12-03T02:53:28Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9130</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9130"/>
		<updated>2015-12-03T02:52:44Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* See also */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9126</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9126"/>
		<updated>2015-12-03T02:51:30Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* See also */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
[[Polarization]]&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9111</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9111"/>
		<updated>2015-12-03T02:49:07Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
http://www.slideshare.net/pabitadhungel321/polarization-and-its-application&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9110</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9110"/>
		<updated>2015-12-03T02:48:41Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Connectedness */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
*Providing information on sources of radiation and scattering, polarization probes the interstellar magnetic field&lt;br /&gt;
*Polarization of cosmic microwave background is being used to study the physics of the early universe&lt;br /&gt;
3D Movies&lt;br /&gt;
*Images are projected from the projector with multiplexed polarization&lt;br /&gt;
*3D glasses with suitable polarized filters ensure that each eye receives only the intended image&lt;br /&gt;
Communication and Radar&lt;br /&gt;
*All radio transmitting and receiving antennas are intrinsically polarized-think FM and AM radio&lt;br /&gt;
*Vertical polarization is used to radiate a radio signal in all directions, such as those used in mobile phones&lt;br /&gt;
*Alternating vertical and horizontal polarization allows satellite communication systems to broadcast two separate transmissions on a single frequency&lt;br /&gt;
Material Science Engineering&lt;br /&gt;
*the relationship between strain and birefringence motivates the use of polarization in characterizing the distribution of stress and strain in prototypes&lt;br /&gt;
Navigation&lt;br /&gt;
*Sky polarization was used in the 1950s when navigating near the poles of the Earth&#039;s magnetic field when neither the sun nor stars were visible&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9071</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9071"/>
		<updated>2015-12-03T02:37:27Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Connectedness */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
*Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
*Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
*There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
*Checking chirality of organic compounds&lt;br /&gt;
*Infrared spectroscopy&lt;br /&gt;
Astronomy&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9063</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9063"/>
		<updated>2015-12-03T02:35:22Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Connectedness */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
&lt;br /&gt;
Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
&lt;br /&gt;
Some of these include:&lt;br /&gt;
&lt;br /&gt;
Chemistry&lt;br /&gt;
Checking chirality of organic compounds&lt;br /&gt;
Infrared spectroscopy&lt;br /&gt;
##Astronomy&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9061</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9061"/>
		<updated>2015-12-03T02:34:40Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Connectedness */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
&lt;br /&gt;
Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
&lt;br /&gt;
Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
Some of these include:&lt;br /&gt;
###Chemistry&lt;br /&gt;
###Checking chirality of organic compounds&lt;br /&gt;
###Infrared spectroscopy&lt;br /&gt;
##Astronomy&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9060</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9060"/>
		<updated>2015-12-03T02:34:09Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Connectedness */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
Some of these include:&lt;br /&gt;
###Chemistry&lt;br /&gt;
###Checking chirality of organic compounds&lt;br /&gt;
###Infrared spectroscopy&lt;br /&gt;
##Astronomy&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9058</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9058"/>
		<updated>2015-12-03T02:33:31Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Connectedness */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
##Some of these include:&lt;br /&gt;
###Chemistry&lt;br /&gt;
###Checking chirality of organic compounds&lt;br /&gt;
###Infrared spectroscopy&lt;br /&gt;
##Astronomy&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9056</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9056"/>
		<updated>2015-12-03T02:32:37Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Connectedness */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
Atoms are the composition of all life. Anything can be broken down into atoms and subatomic particles. If we are able to understand atoms we understand the fundamental concepts of all life, and that is pretty interesting in my opinion.&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
Polarization of atoms is not directly related to my major of Mechanical Engineering; however, there are classes I am required to take such as Intro to Physics 2 and Chemistry where the polarization of atoms directly applies.&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
There are many interesting industrial applications of the polarization of atoms over a broad scope of fields.&lt;br /&gt;
#Some of these include:&lt;br /&gt;
#Chemistry&lt;br /&gt;
##Checking chirality of organic compounds&lt;br /&gt;
##Infrared spectroscopy&lt;br /&gt;
#Astronomy&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9002</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=9002"/>
		<updated>2015-12-03T02:16:39Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* A Computational Model */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
https://www.youtube.com/watch?v=p_ubxdTOV34&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=8988</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=8988"/>
		<updated>2015-12-03T02:13:04Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* A Computational Model */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
[File: https://www.youtube.com/watch?v=p_ubxdTOV34]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=8931</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=8931"/>
		<updated>2015-12-03T01:54:56Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=8927</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=8927"/>
		<updated>2015-12-03T01:54:40Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* A Mathematical Model */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;/math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=8924</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=8924"/>
		<updated>2015-12-03T01:54:19Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* A Mathematical Model */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;\math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=8909</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=8909"/>
		<updated>2015-12-03T01:52:20Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* A Mathematical Model */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{p} = α\vec{E}}&amp;lt;\math&amp;gt; for almost all materials, the dipole moment &#039;&#039;&#039;p&#039;&#039;&#039; of the polarized atoms or molecules is directly proportional to the magnitude of the applied electric field &#039;&#039;&#039;E&#039;&#039;&#039;.  The constant &#039;&#039;&#039;α&#039;&#039;&#039; is called the &amp;quot;polarizability&amp;quot; of a particular material.  Many of these polarizability values have been measured experimentally and can be found in reference volumes.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=8731</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=8731"/>
		<updated>2015-12-03T00:39:54Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* A Mathematical Model */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the force created by the electric field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &#039;&#039;&#039;q&#039;&#039;&#039;.  This force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=8725</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=8725"/>
		<updated>2015-12-03T00:37:59Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* A Mathematical Model */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;{\vec{F} = q\vec{E}}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;F&#039;&#039;&#039; is the Force created by the Electric Field &#039;&#039;&#039;E&#039;&#039;&#039; and the charge of a particle &amp;quot;q&amp;quot;.  This Force is what causes the atom to become polarized.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7974</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7974"/>
		<updated>2015-12-02T08:16:39Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
What are the mathematical equations that allow us to model this topic.  For example &amp;lt;math&amp;gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;p&#039;&#039;&#039; is the momentum of the system and &#039;&#039;&#039;F&#039;&#039;&#039; is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Fields]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7971</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7971"/>
		<updated>2015-12-02T08:14:58Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* External links */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
What are the mathematical equations that allow us to model this topic.  For example &amp;lt;math&amp;gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;p&#039;&#039;&#039; is the momentum of the system and &#039;&#039;&#039;F&#039;&#039;&#039; is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7969</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7969"/>
		<updated>2015-12-02T08:13:11Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* External links */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
What are the mathematical equations that allow us to model this topic.  For example &amp;lt;math&amp;gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;p&#039;&#039;&#039; is the momentum of the system and &#039;&#039;&#039;F&#039;&#039;&#039; is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
http://www.physicsclassroom.com/class/estatics/Lesson-1/Polarization&lt;br /&gt;
http://academics.smcvt.edu/abrizard/EM/dielectric_I.pdf&lt;br /&gt;
http://budker.berkeley.edu/papers/pdfs/QBvisualisationPreprint.pdf&lt;br /&gt;
http://ocw.mit.edu/resources/res-6-001-electromagnetic-fields-and-energy-spring-2008/chapter-6/06.pdf&lt;br /&gt;
http://www.hho4free.com/electrical_polarization.htm&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7968</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7968"/>
		<updated>2015-12-02T08:07:29Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
What are the mathematical equations that allow us to model this topic.  For example &amp;lt;math&amp;gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;p&#039;&#039;&#039; is the momentum of the system and &#039;&#039;&#039;F&#039;&#039;&#039; is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
https://www.webassign.net/ebooks/mi4/toc.html?page=14.3&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7967</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7967"/>
		<updated>2015-12-02T08:07:12Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
What are the mathematical equations that allow us to model this topic.  For example &amp;lt;math&amp;gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;p&#039;&#039;&#039; is the momentum of the system and &#039;&#039;&#039;F&#039;&#039;&#039; is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
[https://www.webassign.net/ebooks/mi4/toc.html?page=14.3]&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7966</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7966"/>
		<updated>2015-12-02T08:06:26Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
What are the mathematical equations that allow us to model this topic.  For example &amp;lt;math&amp;gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;p&#039;&#039;&#039; is the momentum of the system and &#039;&#039;&#039;F&#039;&#039;&#039; is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
[[https://www.webassign.net/ebooks/mi4/toc.html?page=14.3]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7964</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7964"/>
		<updated>2015-12-02T08:05:09Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
This page serves to outline and explain the inner workings and hidden mechanisms of the polarization of an atom.&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
What are the mathematical equations that allow us to model this topic.  For example &amp;lt;math&amp;gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;p&#039;&#039;&#039; is the momentum of the system and &#039;&#039;&#039;F&#039;&#039;&#039; is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
This section contains the the references you used while writing this page&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7962</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7962"/>
		<updated>2015-12-02T08:03:36Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* The Main Idea */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
Short Description of Topic&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
In an atom, the cloud of electrons, while connected to the nucleus, is not exactly centered on the nucleus.  For this reason, atoms can interact with external charges and become polarized.  The nucleus and cloud of electrons can move relative to each other.  If an external charge comes into the same space that an atom occupies or is close by, the charge creates an electric field, which exerts a force on the atom.  &amp;quot;Applied&amp;quot; electric fields such as this explain why the electron cloud and nucleus can move relative to each other.  For example, if a positive charge is placed to the left of an atom, an electric field will be created that shifts the electron cloud of the atom towards the positive charge (to the left) and will shift the net positive nucleus away from the charge (to the right) as two objects of the same charge repel each other.  In this case, it is now more probable to find an electron to the left of the nucleus, rather than the right.&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
What are the mathematical equations that allow us to model this topic.  For example &amp;lt;math&amp;gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;p&#039;&#039;&#039; is the momentum of the system and &#039;&#039;&#039;F&#039;&#039;&#039; is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
This section contains the the references you used while writing this page&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7953</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7953"/>
		<updated>2015-12-02T07:51:12Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
Short Description of Topic&lt;br /&gt;
&lt;br /&gt;
==The Main Idea==&lt;br /&gt;
&lt;br /&gt;
State, in your own words, the main idea for this topic&lt;br /&gt;
Electric Field of Capacitor&lt;br /&gt;
&lt;br /&gt;
===A Mathematical Model===&lt;br /&gt;
&lt;br /&gt;
What are the mathematical equations that allow us to model this topic.  For example &amp;lt;math&amp;gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&amp;lt;/math&amp;gt; where &#039;&#039;&#039;p&#039;&#039;&#039; is the momentum of the system and &#039;&#039;&#039;F&#039;&#039;&#039; is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
===A Computational Model===&lt;br /&gt;
&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
===Simple===&lt;br /&gt;
===Middling===&lt;br /&gt;
===Difficult===&lt;br /&gt;
&lt;br /&gt;
==Connectedness==&lt;br /&gt;
#How is this topic connected to something that you are interested in?&lt;br /&gt;
#How is it connected to your major?&lt;br /&gt;
#Is there an interesting industrial application?&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
===Further reading===&lt;br /&gt;
&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
===External links===&lt;br /&gt;
&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&lt;br /&gt;
This section contains the the references you used while writing this page&lt;br /&gt;
&lt;br /&gt;
[[Category:Which Category did you place this in?]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7950</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7950"/>
		<updated>2015-12-02T07:46:41Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
&lt;br /&gt;
Path Independence&lt;br /&gt;
(Redirected from Template)&lt;br /&gt;
PLEASE DO NOT EDIT THIS PAGE. COPY THIS TEMPLATE AND PASTE IT INTO A NEW PAGE FOR YOUR TOPIC.&lt;br /&gt;
&lt;br /&gt;
Short Description of Topic&lt;br /&gt;
&lt;br /&gt;
Contents [hide] &lt;br /&gt;
1 The Main Idea&lt;br /&gt;
1.1 A Mathematical Model&lt;br /&gt;
1.2 A Computational Model&lt;br /&gt;
2 Examples&lt;br /&gt;
2.1 Simple&lt;br /&gt;
2.2 Middling&lt;br /&gt;
2.3 Difficult&lt;br /&gt;
3 Connectedness&lt;br /&gt;
4 History&lt;br /&gt;
5 See also&lt;br /&gt;
5.1 Further reading&lt;br /&gt;
5.2 External links&lt;br /&gt;
6 References&lt;br /&gt;
The Main Idea[edit]&lt;br /&gt;
State, in your own words, the main idea for this topic Electric Field of Capacitor&lt;br /&gt;
&lt;br /&gt;
A Mathematical Model[edit]&lt;br /&gt;
What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
A Computational Model[edit]&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript&lt;br /&gt;
&lt;br /&gt;
Examples[edit]&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
Simple[edit]&lt;br /&gt;
Middling[edit]&lt;br /&gt;
Difficult[edit]&lt;br /&gt;
Connectedness[edit]&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
History[edit]&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
See also[edit]&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
Further reading[edit]&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
External links[edit]&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
References[edit]&lt;br /&gt;
This section contains the the references you used while writing this page&lt;br /&gt;
&lt;br /&gt;
Category: Which Category did you place this in?&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7949</id>
		<title>Polarization of an Atom</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Polarization_of_an_Atom&amp;diff=7949"/>
		<updated>2015-12-02T07:42:28Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: Created page with &amp;quot;Claimed by Owen Fisher Path Independence (Redirected from Template) PLEASE DO NOT EDIT THIS PAGE. COPY THIS TEMPLATE AND PASTE IT INTO A NEW PAGE FOR YOUR TOPIC.  Short Descri...&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Claimed by Owen Fisher&lt;br /&gt;
Path Independence&lt;br /&gt;
(Redirected from Template)&lt;br /&gt;
PLEASE DO NOT EDIT THIS PAGE. COPY THIS TEMPLATE AND PASTE IT INTO A NEW PAGE FOR YOUR TOPIC.&lt;br /&gt;
&lt;br /&gt;
Short Description of Topic&lt;br /&gt;
&lt;br /&gt;
Contents [hide] &lt;br /&gt;
1 The Main Idea&lt;br /&gt;
1.1 A Mathematical Model&lt;br /&gt;
1.2 A Computational Model&lt;br /&gt;
2 Examples&lt;br /&gt;
2.1 Simple&lt;br /&gt;
2.2 Middling&lt;br /&gt;
2.3 Difficult&lt;br /&gt;
3 Connectedness&lt;br /&gt;
4 History&lt;br /&gt;
5 See also&lt;br /&gt;
5.1 Further reading&lt;br /&gt;
5.2 External links&lt;br /&gt;
6 References&lt;br /&gt;
The Main Idea[edit]&lt;br /&gt;
State, in your own words, the main idea for this topic Electric Field of Capacitor&lt;br /&gt;
&lt;br /&gt;
A Mathematical Model[edit]&lt;br /&gt;
What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.&lt;br /&gt;
&lt;br /&gt;
A Computational Model[edit]&lt;br /&gt;
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript&lt;br /&gt;
&lt;br /&gt;
Examples[edit]&lt;br /&gt;
Be sure to show all steps in your solution and include diagrams whenever possible&lt;br /&gt;
&lt;br /&gt;
Simple[edit]&lt;br /&gt;
Middling[edit]&lt;br /&gt;
Difficult[edit]&lt;br /&gt;
Connectedness[edit]&lt;br /&gt;
How is this topic connected to something that you are interested in?&lt;br /&gt;
How is it connected to your major?&lt;br /&gt;
Is there an interesting industrial application?&lt;br /&gt;
History[edit]&lt;br /&gt;
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.&lt;br /&gt;
&lt;br /&gt;
See also[edit]&lt;br /&gt;
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?&lt;br /&gt;
&lt;br /&gt;
Further reading[edit]&lt;br /&gt;
Books, Articles or other print media on this topic&lt;br /&gt;
&lt;br /&gt;
External links[edit]&lt;br /&gt;
Internet resources on this topic&lt;br /&gt;
&lt;br /&gt;
References[edit]&lt;br /&gt;
This section contains the the references you used while writing this page&lt;br /&gt;
&lt;br /&gt;
Category: Which Category did you place this in?&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
	<entry>
		<id>http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=7948</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="http://www.physicsbook.gatech.edu/index.php?title=Main_Page&amp;diff=7948"/>
		<updated>2015-12-02T07:41:14Z</updated>

		<summary type="html">&lt;p&gt;Owenfisher16: /* Fields */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;__NOTOC__&lt;br /&gt;
Welcome to the Georgia Tech Wiki for Intro Physics.  This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook.  When reading this website, please correct any errors you may come across. If you read something that isn&#039;t clear, please consider revising it!&lt;br /&gt;
&lt;br /&gt;
Looking to make a contribution?&lt;br /&gt;
#Pick a specific topic from intro physics&lt;br /&gt;
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.&lt;br /&gt;
#Copy and paste the default [[Template]] into your new page and start editing.&lt;br /&gt;
&lt;br /&gt;
Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations.  Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.&lt;br /&gt;
&lt;br /&gt;
== Source Material ==&lt;br /&gt;
All of the content added to this resource must be in the public domain or similar free resource.  If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web.  Here is an incomplete list of intro physics resources (please update as needed).&lt;br /&gt;
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]&lt;br /&gt;
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]&lt;br /&gt;
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]&lt;br /&gt;
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]&lt;br /&gt;
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]&lt;br /&gt;
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]&lt;br /&gt;
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]&lt;br /&gt;
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]&lt;br /&gt;
&lt;br /&gt;
== Organizing Categories ==&lt;br /&gt;
These are the broad, overarching categories, that we cover in two semester of introductory physics.  You can add subcategories or make a new category as needed.  A single topic should direct readers to a page in one of these catagories.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
===Interactions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Kinds of Matter]]&lt;br /&gt;
**[[Ball and Spring Model of Matter]]&lt;br /&gt;
*[[Detecting Interactions]]&lt;br /&gt;
*[[Fundamental Interactions]]  &lt;br /&gt;
*[[System &amp;amp; Surroundings]] &lt;br /&gt;
*[[Newton&#039;s First Law of Motion]]&lt;br /&gt;
*[[Newton&#039;s Second Law of Motion]]&lt;br /&gt;
*[[Newton&#039;s Third Law of Motion]]&lt;br /&gt;
*[[Gravitational Force]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Conservation of Charge]]&lt;br /&gt;
*[[Terminal Speed]]&lt;br /&gt;
*[[Simple Harmonic Motion]]&lt;br /&gt;
*[[Speed and Velocity]]&lt;br /&gt;
*[[Electric Polarization]]&lt;br /&gt;
*[[Perpetual Freefall (Orbit)]]&lt;br /&gt;
*[[2-Dimensional Motion]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Theory===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Einstein&#039;s Theory of Special Relativity]]&lt;br /&gt;
*[[Quantum Theory]]&lt;br /&gt;
*[[Big Bang Theory]]&lt;br /&gt;
*[[Maxwell&#039;s Electromagnetic Theory]]&lt;br /&gt;
*[[Atomic Theory]]&lt;br /&gt;
*[[Wave-Particle Duality]]&lt;br /&gt;
*[[String Theory]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Notable Scientists===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Christian Doppler]]&lt;br /&gt;
*[[Albert Einstein]]&lt;br /&gt;
*[[Ernest Rutherford]]&lt;br /&gt;
*[[Joseph Henry]]&lt;br /&gt;
*[[Michael Faraday]]&lt;br /&gt;
*[[J.J. Thomson]]&lt;br /&gt;
*[[James Maxwell]]&lt;br /&gt;
*[[Robert Hooke]]&lt;br /&gt;
*[[Carl Friedrich Gauss]]&lt;br /&gt;
*[[Nikola Tesla]]&lt;br /&gt;
*[[Andre Marie Ampere]]&lt;br /&gt;
*[[Sir Isaac Newton]]&lt;br /&gt;
*[[J. Robert Oppenheimer]]&lt;br /&gt;
*[[Oliver Heaviside]]&lt;br /&gt;
*[[Rosalind Franklin]]&lt;br /&gt;
*[[Erwin Schrödinger]]&lt;br /&gt;
*[[Enrico Fermi]]&lt;br /&gt;
*[[Robert J. Van de Graaff]]&lt;br /&gt;
*[[Charles de Coulomb]]&lt;br /&gt;
*[[Hans Christian Ørsted]]&lt;br /&gt;
*[[Philo Farnsworth]]&lt;br /&gt;
*[[Niels Bohr]]&lt;br /&gt;
*[[Georg Ohm]]&lt;br /&gt;
*[[Galileo Galilei]]&lt;br /&gt;
*[[Gustav Kirchhoff]]&lt;br /&gt;
*[[Max Planck]]&lt;br /&gt;
*[[Heinrich Hertz]]&lt;br /&gt;
*[[Edwin Hall]]&lt;br /&gt;
*[[James Watt]]&lt;br /&gt;
*[[Count Alessandro Volta]]&lt;br /&gt;
*[[Josiah Willard Gibbs]]&lt;br /&gt;
*[[Richard Phillips Feynman]]&lt;br /&gt;
*[[Sir David Brewster]]&lt;br /&gt;
*[[Daniel Bernoulli]]&lt;br /&gt;
*[[William Thomson]]&lt;br /&gt;
*[[Leonhard Euler]]&lt;br /&gt;
*[[Robert Fox Bacher]]&lt;br /&gt;
*[[Stephen Hawking]]&lt;br /&gt;
*[[Amedeo Avogadro]]&lt;br /&gt;
*[[Wilhelm Conrad Roentgen]]&lt;br /&gt;
*[[Pierre Laplace]]&lt;br /&gt;
*[[Thomas Edison]]&lt;br /&gt;
*[[Hendrik Lorentz]]&lt;br /&gt;
*[[Jean-Baptiste Biot]]&lt;br /&gt;
*[[Lise Meitner]]&lt;br /&gt;
*[[Lisa Randall]]&lt;br /&gt;
*[[Felix Savart]]&lt;br /&gt;
*[[Heinrich Lenz]]&lt;br /&gt;
*[[Max Born]]&lt;br /&gt;
*[[Archimedes]]&lt;br /&gt;
*[[Jean Baptiste Biot]]&lt;br /&gt;
*[[Carl Sagan]]&lt;br /&gt;
*[[Eugene Wigner]]&lt;br /&gt;
*[[Marie Curie]]&lt;br /&gt;
*[[Pierre Curie]]&lt;br /&gt;
*[[Werner Heisenberg]]&lt;br /&gt;
*[[Johannes Diderik van der Waals]]&lt;br /&gt;
*[[Louis de Broglie]]&lt;br /&gt;
*[[Aristotle]]&lt;br /&gt;
*[[Wolfgang Pauli]]&lt;br /&gt;
*[[Émilie du Châtelet]]&lt;br /&gt;
*[[Blaise Pascal]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Properties of Matter===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Mass]]&lt;br /&gt;
*[[Velocity]]&lt;br /&gt;
*[[Relative Velocity]]&lt;br /&gt;
*[[Density]]&lt;br /&gt;
*[[Charge]]&lt;br /&gt;
*[[Spin]]&lt;br /&gt;
*[[SI Units]]&lt;br /&gt;
*[[Heat Capacity]]&lt;br /&gt;
*[[Specific Heat]]&lt;br /&gt;
*[[Wavelength]]&lt;br /&gt;
*[[Conductivity]]&lt;br /&gt;
*[[Malleability]]&lt;br /&gt;
*[[Weight]]&lt;br /&gt;
*[[Boiling Point]]&lt;br /&gt;
*[[Melting Point]]&lt;br /&gt;
*[[Higgs Boson]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Contact Interactions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Young&#039;s Modulus]]&lt;br /&gt;
* [[Friction]]&lt;br /&gt;
* [[Tension]]&lt;br /&gt;
* [[Hooke&#039;s Law]]&lt;br /&gt;
*[[Centripetal Force and Curving Motion]]&lt;br /&gt;
*[[Compression or Normal Force]]&lt;br /&gt;
* [[Length and Stiffness of an Interatomic Bond]]&lt;br /&gt;
* [[Speed of Sound in a Solid]]&lt;br /&gt;
* [[Iterative Prediction of Spring-Mass System]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Momentum===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Vectors]]&lt;br /&gt;
* [[Kinematics]]&lt;br /&gt;
* [[Conservation of Momentum]]&lt;br /&gt;
* [[Predicting Change in multiple dimensions]]&lt;br /&gt;
* [[Momentum Principle]]&lt;br /&gt;
* [[Impulse Momentum]]&lt;br /&gt;
* [[Curving Motion]]&lt;br /&gt;
* [[Multi-particle Analysis of Momentum]]&lt;br /&gt;
* [[Iterative Prediction]]&lt;br /&gt;
* [[Newton&#039;s Laws and Linear Momentum]]&lt;br /&gt;
* [[Net Force]]&lt;br /&gt;
* [[Center of Mass]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Angular Momentum===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[The Moments of Inertia]]&lt;br /&gt;
* [[Moment of Inertia for a ring]]&lt;br /&gt;
* [[Rotation]]&lt;br /&gt;
* [[Torque]]&lt;br /&gt;
* [[Systems with Zero Torque]]&lt;br /&gt;
* [[Systems with Nonzero Torque]]&lt;br /&gt;
* [[Right Hand Rule]]&lt;br /&gt;
* [[Angular Velocity]]&lt;br /&gt;
* [[Predicting the Position of a Rotating System]]&lt;br /&gt;
* [[Translational Angular Momentum]]&lt;br /&gt;
* [[The Angular Momentum Principle]]&lt;br /&gt;
* [[Rotational Angular Momentum]]&lt;br /&gt;
* [[Total Angular Momentum]]&lt;br /&gt;
* [[Gyroscopes]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Energy===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[The Photoelectric Effect]]&lt;br /&gt;
*[[Photons]]&lt;br /&gt;
*[[The Energy Principle]]&lt;br /&gt;
*[[Predicting Change]]&lt;br /&gt;
*[[Rest Mass Energy]]&lt;br /&gt;
*[[Kinetic Energy]]&lt;br /&gt;
*[[Potential Energy]]&lt;br /&gt;
*[[Work]]&lt;br /&gt;
*[[Thermal Energy]]&lt;br /&gt;
*[[Conservation of Energy]]&lt;br /&gt;
*[[Electric Potential]]&lt;br /&gt;
*[[Energy Transfer due to a Temperature Difference]]&lt;br /&gt;
*[[Gravitational Potential Energy]]&lt;br /&gt;
*[[Point Particle Systems]]&lt;br /&gt;
*[[Real Systems]]&lt;br /&gt;
*[[Spring Potential Energy]]&lt;br /&gt;
**[[Ball and Spring Model]]&lt;br /&gt;
*[[Internal Energy]]&lt;br /&gt;
**[[Potential Energy of a Pair of Neutral Atoms]]&lt;br /&gt;
*[[Translational, Rotational and Vibrational Energy]]&lt;br /&gt;
*[[Franck-Hertz Experiment]]&lt;br /&gt;
*[[Power]]&lt;br /&gt;
*[[Energy Graphs]]&lt;br /&gt;
*[[Air Resistance]]&lt;br /&gt;
*[[Electronic Energy Levels]]&lt;br /&gt;
*[[Second Law of Thermodynamics and Entropy]]&lt;br /&gt;
*[[Specific Heat Capacity]]&lt;br /&gt;
*[[Electronic Energy Levels and Photons]]&lt;br /&gt;
*[[Energy Density]]&lt;br /&gt;
*[[Bohr Model]]&lt;br /&gt;
*[[Quantized energy levels]]&lt;br /&gt;
*[[Path Independence of Electric Potential]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Collisions===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Collisions]]&lt;br /&gt;
*[[Maximally Inelastic Collision]]&lt;br /&gt;
*[[Elastic Collisions]]&lt;br /&gt;
*[[Inelastic Collisions]]&lt;br /&gt;
*[[Head-on Collision of Equal Masses]]&lt;br /&gt;
*[[Head-on Collision of Unequal Masses]]&lt;br /&gt;
*[[Frame of Reference]]&lt;br /&gt;
*[[Rutherford Experiment and Atomic Collisions]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Fields===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
* [[Electric Field]] of a&lt;br /&gt;
** [[Point Charge]]&lt;br /&gt;
** [[Electric Dipole]]&lt;br /&gt;
** [[Capacitor]]&lt;br /&gt;
** [[Charged Rod]]&lt;br /&gt;
** [[Charged Ring]]&lt;br /&gt;
** [[Charged Disk]]&lt;br /&gt;
** [[Charged Spherical Shell]]&lt;br /&gt;
** [[Charged Cylinder]]&lt;br /&gt;
** [[Charged Hollow Cylinder]]&lt;br /&gt;
**[[A Solid Sphere Charged Throughout Its Volume]]&lt;br /&gt;
*[[Electric Potential]] &lt;br /&gt;
**[[Potential Difference Path Independence]]&lt;br /&gt;
**[[Potential Difference in a Uniform Field]]&lt;br /&gt;
**[[Potential Difference of point charge in a non-Uniform Field]]&lt;br /&gt;
**[[Sign of Potential Difference]]&lt;br /&gt;
**[[Potential Difference in an Insulator]]&lt;br /&gt;
**[[Energy Density and Electric Field]]&lt;br /&gt;
** [[Systems of Charged Objects]]&lt;br /&gt;
*[[Electric Force]]&lt;br /&gt;
*[[Polarization]]&lt;br /&gt;
**[[Polarization of an Atom]]&lt;br /&gt;
*[[Charge Motion in Metals]]&lt;br /&gt;
*[[Charge Transfer]]&lt;br /&gt;
*[[Magnetic Field]]&lt;br /&gt;
**[[Right-Hand Rule]]&lt;br /&gt;
**[[Direction of Magnetic Field]]&lt;br /&gt;
**[[Magnetic Field of a Long Straight Wire]]&lt;br /&gt;
**[[Magnetic Field of a Loop]]&lt;br /&gt;
**[[Magnetic Field of a Solenoid]]&lt;br /&gt;
**[[Bar Magnet]]&lt;br /&gt;
**[[Magnetic Dipole Moment]]&lt;br /&gt;
**[[Magnetic Force]]&lt;br /&gt;
**[[Hall Effect]]&lt;br /&gt;
**[[Lorentz Force]]&lt;br /&gt;
**[[Biot-Savart Law]]&lt;br /&gt;
**[[Biot-Savart Law for Currents]]&lt;br /&gt;
**[[Integration Techniques for Magnetic Field]]&lt;br /&gt;
**[[Sparks in Air]]&lt;br /&gt;
**[[Motional Emf]]&lt;br /&gt;
**[[Detecting a Magnetic Field]]&lt;br /&gt;
**[[Moving Point Charge]]&lt;br /&gt;
**[[Non-Coulomb Electric Field]]&lt;br /&gt;
**[[Motors and Generators]]&lt;br /&gt;
**[[Solenoid Applications]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Simple Circuits===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Components]]&lt;br /&gt;
*[[Steady State]]&lt;br /&gt;
*[[Non Steady State]]&lt;br /&gt;
*[[Charging and Discharging a Capacitor]]&lt;br /&gt;
*[[Thin and Thick Wires]]&lt;br /&gt;
*[[Node Rule]]&lt;br /&gt;
*[[Loop Rule]]&lt;br /&gt;
*[[Resistivity]]&lt;br /&gt;
*[[Power in a circuit]]&lt;br /&gt;
*[[Ammeters,Voltmeters,Ohmmeters]]&lt;br /&gt;
*[[Current]]&lt;br /&gt;
**[[AC]]&lt;br /&gt;
*[[Ohm&#039;s Law]]&lt;br /&gt;
*[[Series Circuits]]&lt;br /&gt;
*[[Parallel Circuits]]&lt;br /&gt;
*[[RC]]&lt;br /&gt;
*[[Charge in a RC Circuit]]&lt;br /&gt;
*[[Current in a RC circuit]]&lt;br /&gt;
*[[Circular Loop of Wire]]&lt;br /&gt;
*[[RL Circuit]]&lt;br /&gt;
*[[LC Circuit]]&lt;br /&gt;
*[[Surface Charge Distributions]]&lt;br /&gt;
*[[Feedback]]&lt;br /&gt;
*[[Transformers]]&lt;br /&gt;
*[[Resistors and Conductivity]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Maxwell&#039;s Equations===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Gauss&#039;s Flux Theorem]]&lt;br /&gt;
**[[Electric Fields]]&lt;br /&gt;
**[[Magnetic Fields]]&lt;br /&gt;
*[[Ampere&#039;s Law]]&lt;br /&gt;
**[[Magnetic Field of Coaxial Cable Using Ampere&#039;s Law]]&lt;br /&gt;
**[[Magnetic Field of a Long Thick Wire Using Ampere&#039;s Law]]&lt;br /&gt;
**[[Magnetic Field of a Toroid Using Ampere&#039;s Law]]&lt;br /&gt;
*[[Faraday&#039;s Law]]&lt;br /&gt;
**[[Curly Electric Fields]]&lt;br /&gt;
**[[Inductance]]&lt;br /&gt;
***[[Transformers]]&lt;br /&gt;
***[[Energy Density]]&lt;br /&gt;
**[[Lenz&#039;s Law]]&lt;br /&gt;
***[[Lenz Effect and the Jumping Ring]]&lt;br /&gt;
**[[Motional Emf using Faraday&#039;s Law]]&lt;br /&gt;
*[[Ampere-Maxwell Law]]&lt;br /&gt;
*[[Superconductors]]&lt;br /&gt;
**[[Meissner effect]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Radiation===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Producing a Radiative Electric Field]]&lt;br /&gt;
*[[Sinusoidal Electromagnetic Radiaton]]&lt;br /&gt;
*[[Lenses]]&lt;br /&gt;
*[[Energy and Momentum Analysis in Radiation]]&lt;br /&gt;
*[[Electromagnetic Propagation]]&lt;br /&gt;
**[[Wavelength and Frequency]]&lt;br /&gt;
*[[Snell&#039;s Law]]&lt;br /&gt;
*[[Effects of Radiation on Matter]]&lt;br /&gt;
*[[Light Propagation Through a Medium]]&lt;br /&gt;
*[[Light Scaterring: Why is the Sky Blue]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Sound===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Doppler Effect]]&lt;br /&gt;
*[[Nature, Behavior, and Properties of Sound]]&lt;br /&gt;
*[[Resonance]]&lt;br /&gt;
*[[Sound Barrier]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Waves===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Multisource Interference: Diffraction]]&lt;br /&gt;
*[[Standing waves]]&lt;br /&gt;
*[[Gravitational waves]]&lt;br /&gt;
*[[Wave-Particle Duality]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Real Life Applications of Electromagnetic Principles===&lt;br /&gt;
&amp;lt;div class=&amp;quot;mw-collapsible-content&amp;quot;&amp;gt;&lt;br /&gt;
*[[Electromagnetic Junkyard Cranes]]&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/div&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;div class=&amp;quot;toccolours mw-collapsible mw-collapsed&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Resources ==&lt;br /&gt;
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]&lt;br /&gt;
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]&lt;br /&gt;
* A page to keep track of all the physics [[Constants]]&lt;br /&gt;
* An overview of [[VPython]]&lt;/div&gt;</summary>
		<author><name>Owenfisher16</name></author>
	</entry>
</feed>