UCI Chem 131B Molecular Structure & Statistical Mechanics (Winter 2013)
Lec 25. Molecular Structure & Statistical Mechanics -- Partition Functions -- Part 3.
View the complete course: ../courses/chem_131b_molecular_structure_and_elementary_statistical_mechanics.html
Instructor: Rachel Martin, Ph.D.
License: Creative Commons BY-NC-SA
Terms of Use: ../info.
More courses at http://ocw.uci.edu
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.
Recorded on March 13, 2013.
Index of Topics:
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
Required attribution: Martin, Rachel. Molecular Structure & Statistical Mechanics 131B (UCI OpenCourseWare: University of California, Irvine), ../courses/chem_131b_molecular_structure_and_elementary_statistical_mechanics.html. [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License.
