# Chem 3322 -- Physical Chemistry II

## NEW LECTURE NOTES

Lecture notes, part 1
Lecture notes, part 2
Lecture notes, part 3
Lecture notes, part 4
Lecture notes, part 5
Lecture notes, part 6
Lecture notes, part 7
Lecture notes, part 8

## OLD LECTURE NOTES

Lecture notes, part 1
Lecture notes, part 2
Lecture notes, part 3
Lecture notes, part 4
Lecture notes, part 5
Lecture notes, part 6
Lecture notes, part 7
Lecture notes, part 8
Lecture notes, part 9

## HOMEWORK / TESTS

Homework #1, due Jan. 22
Homework #1 solutions
Homework #2, due Jan. 29
Homework #2 solutions
Homework #3, due Feb. 5
Homework #3 solutions
Homework #4, due Feb. 12
Homework #4 solutions
Homework #5, due Feb. 26
Homework #5 solutions
Test #1 solutions
Homework #6, due March 5
Homework #6 solutions
Homework #7, due March 21
Homework #7 solutions
Homework #8, due March 26
Homework #8 solutions
Homework #9, due April 9
Homework #9 solutions
Test #2 solutions
Homework #10, due April 23
Homework #10 solutions

Test 1 material: the first set of my lecture notes as well as the 4 assigned homework sets
Test #1 formula sheet
Test 1 textbook contents (note: some topics that we did are not in the textbook like the particle in a finite box, tunneling, particle on a ring,...)
Chapter 1: background (blackbody radiation, photoelectric effect, deBroglie hypothesis)
Chapter 2: classical wave equation; separation of variables
Chapter 3: TISE (section 3-1); probability density (sections 3-4 and 3-6); particle in a box (section 3-5); correspondence principle (section 3-6); 3d box (section 3-9)
Chapter 4: TDSE (section 4-4)
Chapter 5: classical harmonic oscillator (section 5-1); link between harmonic oscillator and chemical bond (section 5-3); harmonic oscillator energy levels (section 5-4); harmonic oscillator wavefunctions (section 5-6)

Test 2 material: part 2,3,4,5 of the "NEW LECTURE NOTES" and part 3,4,5,6 of the "OLD LECTURE NOTES"
Test #2 formula sheet
Test 2 textbook contents (note: some topics that we did are not in the textbook like Raman spectroscopy)
Chapter 3: section 3.3 (eigenvalues, operators); section 3.7 (expectation value); section 3.8 (uncertainty)
Chapter 4: section 4.1 (postulates); section 4.2 (operators); section 4.3 (postulates)
Chapter 5: section 5.2 (reduced mass); section 5.3 (Morse oscillator); section 5.5 (spectroscopy); section 5.8 (rigid rotor); section 5.9 (rigid rotor)
Chapter 6: hydrogen atom
Chapter 9: section 9.1 (Born-Oppenheimer)
Chapter 13: section 13.1 (overview); section 13.2 (selection rules); section 13.3 (corrections to RRHO); section 13.4 (corrections to RRHO); section 13.5 (overtones, Morse model); section 13.6 (electronic spectra); section 13.7 (Franck-Condon); section 13.12 (rigid rotor selection rules); section 13.13 (harmonic oscillator selection rules)
Chapter 15: section 15.1 (overview of electronic spectroscopy)

Test 3 material: part 6,7,8 of the "NEW LECTURE NOTES" and part 7,8,9 of the "OLD LECTURE NOTES"
Test #3 formula sheet
Test 3 textbook contents
Equation 7.4: variational theorem
page 250-252: LCAO, MO energies
page 255: generalized to mixing N atomic orbitals together
page 327: overlap integral
page 341: helium dimer is not stable
section 10-5 and 10-6: Huckel theory
page 693: partition function
section 17-2: Boltzmann factor
section 18-4: population of vibrational energy levels
section 18-5: population of rotational energy levels

## McQuarrie/Simon

chapter 1: background to quantum theory
Practice problems: 1-9, 1-11, 1-14, 1-25, 1-34, 1-37, 1-38, 1-39
Mathchapter A: review of complex numbers
Practice problems: A-5, A-6
chapter 2: classical waves
Practice problems: 2-5, 2-16, 2-18
Mathchapter B: probability
Practice problems: B-1, B-2, B-3, B-4, B-5
chapter 3: Schroedinger equation, particle in box (1d and 3d)
Practice problems: 3-1, 3-2, 3-3, 3-4, 3-5, 3-6, 3-7, 3-8, 3-9, 3-11, 3-12, 3-13, 3-14, 3-16, 3-17, 3-19, 3-20, 3-21, 3-23, 3-25, 3-26, 3-27, 3-28, 3-29, 3-30, 3-35
chapter 4: theory
4.4: separation of variables to get time-independent equation
chapter 5: harmonic oscillator (center of mass coordinates), rigid rotor
chapter 6: hydrogen atom
eq. 6.1 -- potential energy
eq. 6.2 -- Hamiltonian operator
eq. 6.6 -- separation of variables is being attempted
eq. 6.8 -- radial equation
eq. 6.10 -- angular eq. -- spherical harmonics
eq. 6.11 -- separation of variables for the angular part
eq. 6.20 -- phi solutions
Table 6.2 -- theta solutions
Table 6.3 -- spherical harmonics
page 206 -- energies
Table 6.5 -- atomic wavefunctions for hydrogenic atoms
page 209-210 -- "s" orbitals
page 213-218 -- "p" and "d" orbitals
Problems: 6.1, 6.3, 6.20, 6.21, 6.22, 6.23, 6.24, 6.25, 6.28, 6.29, 6.32, 6.33, 6.35, 6.36
page 323-324 -- Born-Oppenheimer approx.
page 497 -- rotational and vibrational transitions
Fig. 13.1 -- rotational/vibrational levels for a diatomic in the harmonic oscillator / rigid rotor approx.
eq. 13.11 -- selection rules in harmonic oscillator / rigid rotor approx.
Fig. 13.2 -- rotational / vibrational spectrum
Fig. 13.4 -- beyond the harmonic approx.
page 521 -- active and inactive vibrational motions
page 531-532 -- rigid rotor selection rules
page 533-534 -- harmonic oscillator selection rules
Problems: 13.1, 13.2, 13.3, 13.5, 13.7, 13.8, 13.9, 13.11, 13.12, 13.34