Lecture 22 — The Maxwell Distribution
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Lecture 22 — The Maxwell Distribution Chapter 7, Friday February 29 th. Final points from Ch. 6 – molecular hydrogen Maxwell-Boltzmann probability Density of states in k -space Single-particle density of states in energy Maxwell distribution of speeds in a classical gas.

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Lecture 22 the maxwell distribution chapter 7 friday february 29 th

Lecture 22 — The Maxwell Distribution

Chapter 7, Friday February 29th

  • Final points from Ch. 6 – molecular hydrogen

  • Maxwell-Boltzmann probability

  • Density of states in k-space

  • Single-particle density of states in energy

  • Maxwell distribution of speeds in a classical gas

Reading: All of chapter 7 (pages 144 - 157)

Assigned problems, Ch. 6: 2, 4*, 6, 8, (+1)

Homework 6 due today by 5pm

Assigned problems, Ch. 7: 6, 8, 12, 14, 16

Homework 7 due next Friday

Exam 2 on Wed. after spring break


Lecture 22 the maxwell distribution chapter 7 friday february 29 th

Spin

}

Symmetric

Antisymmetric



Lecture 22 the maxwell distribution chapter 7 friday february 29 th

Particle (standing wave) in a box

Lz

Ly

Lx

Boltzmann probability:


Lecture 22 the maxwell distribution chapter 7 friday february 29 th

Density of states in k-space

kz

ky

kx


Lecture 22 the maxwell distribution chapter 7 friday february 29 th

Convert to spherical coordinates

dk

kz

k

dVk

k

ky

k

k

kx