Partition Functions 
Partition Functions
by UC Irvine / Rachel Martin
Video Lecture 25 of 26
Copyright Information: Martin, Rachel. Molecular Structure & Statistical Mechanics 131B (UCI OpenCourseWare: University of California, Irvine), [Accessed January 23, 2015]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (
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Date Added: January 23, 2015

Lecture Description

Recorded on March 13, 2013. Slides: 01:02- Simulation 06:32- 23: Statistical Mechanics Examples 06:38- Langrange Multipliers: Motivation 09:24- Math Review: Langrange Multipliers 11:22- Langrange Multipliers: Example 1 13:38- Langrange Multipliers: Example 2 16:30- Multiple Constraints 18:50- Partition Function Example 1, Speed Distribution 20:00- Partition Function Example 1, Maxwell-Boltzmann Distribution of Particle Velocities 21:32- Partition Function Example 1, Simplifying Further 22:43- Partition Function Example 1, The Mean- Square Velocity Define the Width of the Distribution 26:33- Partition Function Example 1, Ideal Gas 27:06- Partition Function Example 1, Temperature Dependence of Velocity Distribution 27:42- Partition Function Example 2, Curie's law of Paramagnetism 32:40- Partition Function Example 2, Calculate the Average Magnetization as a Function of T 34:52- Partition Function Example 2, Using the Taylor Series Expansion 38:36- Curie's Law 39:17- Partition Function Example 3, Consider the Microstates 42:19- Partition Function Example 3, Assume the Beads Have an Attractive Force

Course Index

Course Description

Principles of quantum mechanics with application to the elements of atomic structure and energy levels, diatomic molecular spectroscopy and structure determination, and chemical bonding in simple molecules. Chemistry Dept. | Physical Sciences Sch. | University of California, Irvine


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