Length and Stiffness of an Interatomic Bond: Difference between revisions
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What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | ||
We can calculate atomic diameters for crystals of particular elements | We can calculate atomic diameters for crystals of particular elements by using the measured density of the material in kilograms per cubic meter and Avogadro's number (the number of atoms in one mole of the material), 6.02 X 10^23 atoms per 1 mol. | ||
The mass of one atom can be determined using the mass of one mole and the knowledge that one mole contains 6.02 X 10^23 atoms (Avogadro's number) | |||
ex. m | |||
===A Computational Model=== | ===A Computational Model=== | ||
Revision as of 18:52, 1 December 2015
Created by Emily Milburn
This topic covers find the length and stiffness of an Interatomic Bond.
The Main Idea
We can determine the stiffness of an interatomic bond by considering it as a spring. In order to determine stiffness, we must determine the length of an interatomic bond in a particular material. For different materials, bond lenths will vary slightly depending on the size of the atoms. The length of one interatomic bond is defined as the center-to-center distance between two adjacent atoms. The diameter of an atom is the space-filling model of a solid. To find the radius, we divide the diameter in half. If we can calculate the length of the interatomic bond and the diameter of a single atom, we can use this data to find the stiffness of the interatomic bond, considered as a spring. It is difficult to measure the stiffness of an interatomic bond directly, so instead we can analyze data from macroscopic experiments to determine this quantity.
A Mathematical Model
What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
We can calculate atomic diameters for crystals of particular elements by using the measured density of the material in kilograms per cubic meter and Avogadro's number (the number of atoms in one mole of the material), 6.02 X 10^23 atoms per 1 mol.
The mass of one atom can be determined using the mass of one mole and the knowledge that one mole contains 6.02 X 10^23 atoms (Avogadro's number) ex. m
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
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