An Introduction to Thermal Physics
An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 2.3, Problem 10P

Use a computer to produce a table and graph, like those in this section, for the case where one Einstein solid contains 200 oscillators, the other contains 100 oscillators, and there are 100 units of energy in total. What is the most probable macrostate, and what is its probability? What is the least probable macrostate, and what is its probability?

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Question d only. Please do it step by step and show how you do the integration for complex exponentials
The simple mass on a spring is the basis for our description of almost any oscillation. Let’s consider the vibrational states of a simple diatomic molecule, say N2. We will model it as two identical masses connected by a spring as shown in the figure at the top right.This is a little different from the cart on a spring since there is no wall -- both of the atoms are moving. But if we only look at oscillations of the molecule where the center of mass is not moving, the atoms are moving equally and oppositely. When one is going left, the other goes an equal amount to the right and vice versa. This is like two carts attached to a wall and oscillating equally and oppositely as shown in the lower picture. The only difference is the way we treat the spring. When each atom moves a distance x, the spring between the atoms actually stretches a distance 2x, so the force on each atom is -2kx. We can therefore model the motion of one of the nitrogen atoms as a single “cart on a spring” if we…

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An Introduction to Thermal Physics

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