5.62 | Spring 2008 | Undergraduate

Physical Chemistry II

Lecture Notes

1 Review of thermodynamics (PDF)
2 E, A, and S: macroscopic properties for microscopic probabilities {Pi} (PDF)
3 Canonical partition function: replace {Pi} by Q (PDF)
4 Microcanonical ensemble: replace {Pi} by Ω, Q vs. Ω (PDF)
5 Molecular partition function: replace E (assembly) by ε (molecule) (PDF)
6 Q corrected for molecular indistinguishability (PDF)
7 Translational part of Boltzmann partition function (PDF)
8 Boltzmann, Fermi-Dirac, and Bose-Einstein statistics (PDF - 1.1 MB)
9 Calculation of macroscopic properties from microscopic energy levels: qtrans (PDF)

Quantum vs. classical qtrans


Internal degrees of freedom

11 Internal degrees of freedom for atoms and diatomic molecules (PDF)

Rotational partition function


13 Nuclear spin statistics: symmetry number, σ Low temperature limit for rotational partition function


Supplement (PDF)

14 Low and high-T limits for qrot and qvib (PDF)
15 Polyatomic molecules: rotation and vibration (PDF)
16 Chemical equilibrium I (PDF)
17 Chemical equilibrium II (PDF)
18 Model intermolecular potentials (PDF)
19 Configurational integral: cluster expansion (PDF)
20 Virial equation of state (PDF)
21 Thermodynamics of solid: Einstein and Debye models


Supplement (PDF)

22 Einstein and Debye solids (PDF - 1.4 MB)
23 Phonons: 1-D linear chain of atoms (PDF)
24 Free electron theory of a metal (PDF)
25 Heat capacity in metals  
26 Band theory of solids (PDF)
27 Crystal phase equilibria  
28 Kinetic theory of gases: Maxwell-Boltzmann distribution (PDF)
29 Kinetic theory of gases: effusion and collisions (PDF - 1.0 MB)
30 Kinetic theory of gases: collision dynamics and scattering (PDF)
31 Kinetic theory of gases: mean free path and transport (PDF)
32 Kinetic theory of gases: transport coefficients (PDF)
33 Transition state theory I (PDF)

Transition state theory II

Kinetic isotope effect

35 Statistical mechanics for photons  
36 Rates of unimolecular reactions: RRKM (PDF)

Course Info

As Taught In
Spring 2008