Atomic Theory - Revision history

Erinhorbacz: /* References */

2022-04-21T15:19:42Z

References

← Older revision		Revision as of 11:19, 21 April 2022
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	5. “Matter Wave.” Wikipedia, Wikimedia Foundation, 3 Apr. 2022, https://en.wikipedia.org/wiki/Matter_wave.		5. “Matter Wave.” Wikipedia, Wikimedia Foundation, 3 Apr. 2022, https://en.wikipedia.org/wiki/Matter_wave.

			6. “Atomistic Modeling.” Atomistic Modeling - an Overview \| ScienceDirect Topics, https://www.sciencedirect.com/topics/engineering/atomistic-modeling.

			7. Introduction to Atomistic Modeling Xxx Techniques. https://web.mit.edu/mbuehler/www/Teaching/LS/lecture_1_nano-macro-buehler.pdf.

	Chapter 30 of [https://openstaxcollege.org/files/textbook_version/hi_res_pdf/9/CollegePhysics-OP.pdf OpenStax Textbook]		Chapter 30 of [https://openstaxcollege.org/files/textbook_version/hi_res_pdf/9/CollegePhysics-OP.pdf OpenStax Textbook]

Erinhorbacz: /* A Computational Model */

2022-04-21T15:15:26Z

A Computational Model

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	===A Computational Model===		===A Computational Model===
	Understanding the composition and structure of atoms is essential to the study of both microscopic and macroscopic systems. Researchers have made use of atomic information to create what are called atomistic models. These models are used to predict and analyze the behavior of complex systems through knowledge of their most fundamental parts. By understanding how atomic structure affects characteristic properties of atoms, scientists are able to create computational models based on simple microscopic characteristics that simulate complex macroscopic systems. In doing so, they aim to better understand the connection between these macroscopic systems and the underlying atomic structures that govern them.		Understanding the composition and structure of atoms is essential to the study of both microscopic and macroscopic systems. Researchers have made use of atomic information to create what are called atomistic models. These models are used to predict and analyze the behavior of complex systems through knowledge of their most fundamental parts. By understanding how atomic structure affects characteristic properties of atoms, scientists are able to create computational models based on simple microscopic characteristics that simulate complex macroscopic systems. In doing so, they aim to better understand the connection between these macroscopic systems and the underlying atomic structures that govern them [https://www.sciencedirect.com/topics/engineering/atomistic-modeling].

	Use of simulations in research has broadened both the volume and complexity of analysis that can be done at any one time. The ability to model atoms through simulations has been an integral part of the research done in diverse areas of science, notably materials science. In this field, atomistic models are often used to predict material properties under certain conditions using information about their nucleus and electron density. For example, professor Gumbart of the physics department of Georgia Tech created an atomistic model that simulates the behavior of atoms by modeling the forces between them as a system of springs. A simulation of this type of model can be found here: https://trinket.io/library/trinkets/a6b3149ef8. Another use of atomistic models is to simulate and analyze important processes such as a nuclear chain reaction; an example of such a simulation can be viewed on [https://javalab.org/en/nuclear_chain_reaction_en/ JavaLab].		Use of simulations in research has broadened both the volume and complexity of analysis that can be done at any one time. The ability to model atoms through simulations has been an integral part of the research done in diverse areas of science, notably materials science. In this field, atomistic models are often used to predict material properties under certain conditions using information about their nucleus and electron density. For example, professor Gumbart of the physics department of Georgia Tech created an atomistic model that simulates the behavior of atoms by modeling the forces between them as a system of springs. A simulation of this type of model can be found here: https://trinket.io/library/trinkets/a6b3149ef8. Another use of atomistic models is to simulate and analyze important processes such as a nuclear chain reaction; an example of such a simulation can be viewed on [https://javalab.org/en/nuclear_chain_reaction_en/ JavaLab].

	Atomistic models use the mathematical models discussed above to computationally represent atomic forces, atomic positions, velocities, and magnetic charges of atoms among other things. The result is an accurate model of quantum processes. Ultimately, the use of such simulations help to understand the collective behavior of atoms and how this behavior affects macroscopic processes (such as deformation and phase change) as well as performance abilities (such as strength of material).		Atomistic models use the mathematical models discussed above to computationally represent atomic forces, atomic positions, velocities, and magnetic charges of atoms among other things. The result is an accurate model of quantum processes. Ultimately, the use of such simulations help to understand the collective behavior of atoms and how this behavior affects macroscopic processes (such as deformation and phase change) as well as performance abilities (such as strength of material) [https://web.mit.edu/mbuehler/www/Teaching/LS/lecture_1_nano-macro-buehler.pdf].

Erinhorbacz: /* A Computational Model */

2022-04-21T15:10:28Z

A Computational Model

← Older revision		Revision as of 11:10, 21 April 2022
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	Understanding the composition and structure of atoms is essential to the study of both microscopic and macroscopic systems. Researchers have made use of atomic information to create what are called atomistic models. These models are used to predict and analyze the behavior of complex systems through knowledge of their most fundamental parts. By understanding how atomic structure affects characteristic properties of atoms, scientists are able to create computational models based on simple microscopic characteristics that simulate complex macroscopic systems. In doing so, they aim to better understand the connection between these macroscopic systems and the underlying atomic structures that govern them.		Understanding the composition and structure of atoms is essential to the study of both microscopic and macroscopic systems. Researchers have made use of atomic information to create what are called atomistic models. These models are used to predict and analyze the behavior of complex systems through knowledge of their most fundamental parts. By understanding how atomic structure affects characteristic properties of atoms, scientists are able to create computational models based on simple microscopic characteristics that simulate complex macroscopic systems. In doing so, they aim to better understand the connection between these macroscopic systems and the underlying atomic structures that govern them.

	Use of simulations in research has broadened both the volume and complexity of analysis that can be done at any one time. The ability to model atoms through simulations has been an integral part of the research done in diverse areas of science, notably materials science. In this field, atomistic models are often used to predict material properties under certain conditions using information about their nucleus and electron density. For example, professor Gumbart of the physics department of Georgia Tech created an atomistic model that simulates the behavior of atoms by modeling the forces between them as a system of springs. Another use of atomistic models is to simulate and analyze important processes such as a nuclear chain reaction; an example of such a simulation can be viewed on [https://javalab.org/en/nuclear_chain_reaction_en/ JavaLab].		Use of simulations in research has broadened both the volume and complexity of analysis that can be done at any one time. The ability to model atoms through simulations has been an integral part of the research done in diverse areas of science, notably materials science. In this field, atomistic models are often used to predict material properties under certain conditions using information about their nucleus and electron density. For example, professor Gumbart of the physics department of Georgia Tech created an atomistic model that simulates the behavior of atoms by modeling the forces between them as a system of springs. A simulation of this type of model can be found here: https://trinket.io/library/trinkets/a6b3149ef8. Another use of atomistic models is to simulate and analyze important processes such as a nuclear chain reaction; an example of such a simulation can be viewed on [https://javalab.org/en/nuclear_chain_reaction_en/ JavaLab].

	Atomistic models use the mathematical models discussed above to computationally represent atomic forces, atomic positions, velocities, and magnetic charges of atoms among other things. The result is an accurate model of quantum processes. Ultimately, the use of such simulations help to understand the collective behavior of atoms and how this behavior affects macroscopic processes (such as deformation and phase change) as well as performance abilities (such as strength of material).		Atomistic models use the mathematical models discussed above to computationally represent atomic forces, atomic positions, velocities, and magnetic charges of atoms among other things. The result is an accurate model of quantum processes. Ultimately, the use of such simulations help to understand the collective behavior of atoms and how this behavior affects macroscopic processes (such as deformation and phase change) as well as performance abilities (such as strength of material).


	~~Simulation~~ of atomic spring model: https://www.myphysicslab.com/springs/molecule3-en.html		Another simulation of atomic spring model: https://www.myphysicslab.com/springs/molecule3-en.html

	~~<iframe src="https://trinket.io/embed/glowscript/31d0f9ad9e?toggleCode=true" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe>~~

	==History==		==History==

Jbrandt35 at 17:12, 20 April 2022

2022-04-20T17:12:51Z

← Older revision		Revision as of 13:12, 20 April 2022
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	Simulation of atomic spring model: https://www.myphysicslab.com/springs/molecule3-en.html		Simulation of atomic spring model: https://www.myphysicslab.com/springs/molecule3-en.html

	[[<iframe src="https://trinket.io/embed/glowscript/31d0f9ad9e?toggleCode=true" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe>]]		<iframe src="https://trinket.io/embed/glowscript/31d0f9ad9e?toggleCode=true" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe>

	==History==		==History==

Erinhorbacz: /* A Computational Model */

2022-04-20T14:50:01Z

A Computational Model

← Older revision		Revision as of 10:50, 20 April 2022
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	Understanding the composition and structure of atoms is essential to the study of both microscopic and macroscopic systems. Researchers have made use of atomic information to create what are called atomistic models. These models are used to predict and analyze the behavior of complex systems through knowledge of their most fundamental parts. By understanding how atomic structure affects characteristic properties of atoms, scientists are able to create computational models based on simple microscopic characteristics that simulate complex macroscopic systems. In doing so, they aim to better understand the connection between these macroscopic systems and the underlying atomic structures that govern them.		Understanding the composition and structure of atoms is essential to the study of both microscopic and macroscopic systems. Researchers have made use of atomic information to create what are called atomistic models. These models are used to predict and analyze the behavior of complex systems through knowledge of their most fundamental parts. By understanding how atomic structure affects characteristic properties of atoms, scientists are able to create computational models based on simple microscopic characteristics that simulate complex macroscopic systems. In doing so, they aim to better understand the connection between these macroscopic systems and the underlying atomic structures that govern them.

	Use of simulations in research has broadened both the volume and complexity of analysis that can be done at any one time. The ability to model atoms through simulations has been an integral part of the research done in diverse areas of science, notably materials science. In this field, atomistic models are often used to predict material properties under certain conditions using information about their nucleus and electron density. For example, professor ~~ABFIEJABF~~ of the physics department of Georgia Tech created an atomistic model that simulates the behavior of atoms ~~in ABFIEJABF~~. Another use of atomistic models is to simulate and analyze important processes such as a nuclear chain reaction; an example of such a simulation can be viewed on [https://javalab.org/en/nuclear_chain_reaction_en/ JavaLab].		Use of simulations in research has broadened both the volume and complexity of analysis that can be done at any one time. The ability to model atoms through simulations has been an integral part of the research done in diverse areas of science, notably materials science. In this field, atomistic models are often used to predict material properties under certain conditions using information about their nucleus and electron density. For example, professor Gumbart of the physics department of Georgia Tech created an atomistic model that simulates the behavior of atoms by modeling the forces between them as a system of springs. Another use of atomistic models is to simulate and analyze important processes such as a nuclear chain reaction; an example of such a simulation can be viewed on [https://javalab.org/en/nuclear_chain_reaction_en/ JavaLab].

	Atomistic models use the mathematical models discussed above to computationally represent atomic forces, atomic positions, velocities, and magnetic charges of atoms among other things. The result is an accurate model of quantum processes. Ultimately, the use of such simulations help to understand the collective behavior of atoms and how this behavior affects macroscopic processes (such as deformation and phase change) as well as performance abilities (such as strength of material).		Atomistic models use the mathematical models discussed above to computationally represent atomic forces, atomic positions, velocities, and magnetic charges of atoms among other things. The result is an accurate model of quantum processes. Ultimately, the use of such simulations help to understand the collective behavior of atoms and how this behavior affects macroscopic processes (such as deformation and phase change) as well as performance abilities (such as strength of material).

Erinhorbacz: /* A Computational Model */

2022-04-19T19:56:30Z

A Computational Model

← Older revision		Revision as of 15:56, 19 April 2022
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	Simulation of atomic spring model: https://www.myphysicslab.com/springs/molecule3-en.html		Simulation of atomic spring model: https://www.myphysicslab.com/springs/molecule3-en.html

	[[<iframe src="https://trinket.io/embed/glowscript/31d0f9ad9e?~~outputOnly~~=true" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe>]]		[[<iframe src="https://trinket.io/embed/glowscript/31d0f9ad9e?toggleCode=true" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe>]]

	==History==		==History==

Erinhorbacz: /* A Computational Model */

2022-04-19T19:55:00Z

A Computational Model

← Older revision		Revision as of 15:55, 19 April 2022
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	Simulation of atomic spring model: https://www.myphysicslab.com/springs/molecule3-en.html		Simulation of atomic spring model: https://www.myphysicslab.com/springs/molecule3-en.html

			[[<iframe src="https://trinket.io/embed/glowscript/31d0f9ad9e?outputOnly=true" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe>]]

	==History==		==History==

Erinhorbacz: /* A Computational Model */

2022-04-18T03:41:32Z

A Computational Model

← Older revision		Revision as of 23:41, 17 April 2022
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	Simulation of atomic spring model: [https://www.myphysicslab.com/springs/molecule3-en.html]		Simulation of atomic spring model: https://www.myphysicslab.com/springs/molecule3-en.html

	==History==		==History==

Erinhorbacz: /* A Computational Model */

2022-04-18T03:40:48Z

A Computational Model

← Older revision		Revision as of 23:40, 17 April 2022
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	Atomistic models use the mathematical models discussed above to computationally represent atomic forces, atomic positions, velocities, and magnetic charges of atoms among other things. The result is an accurate model of quantum processes. Ultimately, the use of such simulations help to understand the collective behavior of atoms and how this behavior affects macroscopic processes (such as deformation and phase change) as well as performance abilities (such as strength of material).		Atomistic models use the mathematical models discussed above to computationally represent atomic forces, atomic positions, velocities, and magnetic charges of atoms among other things. The result is an accurate model of quantum processes. Ultimately, the use of such simulations help to understand the collective behavior of atoms and how this behavior affects macroscopic processes (such as deformation and phase change) as well as performance abilities (such as strength of material).
	[~~[File:~~https://www.~~youtube~~.com/~~embed~~/~~jhGhSXAqXmU?start=30\|thumb]~~]

			Simulation of atomic spring model: [https://www.myphysicslab.com/springs/molecule3-en.html]

	==History==		==History==

Erinhorbacz: /* A Mathematical Model */

2022-04-18T03:35:37Z

A Mathematical Model

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	</math>		</math>

	[[File:~~de-broglie-equation~~.~~png~~\|thumb\|Bohr's mathematical model to describe the atom]]		[[File:bohr_equations.jpg\|thumb\|Bohr's mathematical model to describe the atom]]

	where V is the [https://en.wikipedia.org/wiki/Electric_potential/ electrostatic potential] (in volts), <math> \frac{1}{4 \pi \epsilon} </math> is the [https://en.wikipedia.org/wiki/Coulomb_constant#:~:text=The%20Coulomb%20constant%2C%20the%20electric,%E2%88%922%E2%8B%85C%E2%88%922./ Coulomb constant], <math>q_1 </math> and <math> q_2 </math> are the charges of two particles, and r is the distance between the two particles.		where V is the [https://en.wikipedia.org/wiki/Electric_potential/ electrostatic potential] (in volts), <math> \frac{1}{4 \pi \epsilon} </math> is the [https://en.wikipedia.org/wiki/Coulomb_constant#:~:text=The%20Coulomb%20constant%2C%20the%20electric,%E2%88%922%E2%8B%85C%E2%88%922./ Coulomb constant], <math>q_1 </math> and <math> q_2 </math> are the charges of two particles, and r is the distance between the two particles.