Pchem Homework Solutions

Chem 3322 -- Physical Chemistry II

Syllabus

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
Test #1 solutions
Homework #6, due March 5
Homework #7, due March 21



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)









Quantum dot and STM/STS slides

SWNT from Dinushi

Tent function fit to particle in a box eigenfunctions




The postulates of quantum mechanics


Central force notes


Anharmonic notes, part 1


Anharmonic notes, part 2
Microwave spectroscopy
missing 1
missing 2
missing 3
missing 4
missing 5
missing 6
missing 7
missing 8
missing 9
cos*cos frequencies


IR and Raman, large molecules


Raman slides
Bright Ideas for Chemical Biology
Fluorescence article


metaphysics ppt slides


metaphysics pdf slides


Quantum eraser article from Scientific Amerian


Interaction free measurement article from Scientific Amerian
Engel/Reid: Appendix A.1 is a review of complex numbers
McQuarrie/Simon: Mathchapter A is a review of complex numbers




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

Chem 332: Physical Chemistry II (Spring 2013)


Course Description: Elementary quantum theory; atomic electronic structure; molecular structure and spectra; bonding theory

Prerequisites: Math 220 and Chem 331, each with a grade of C or better

Class Schedule: MWF 9:10-10:00 am in Fulmer 150 (note the room change)

Textbook:Physical Chemistry,  T. Engel and P. Reid, 3rd ed. (Prentice Hall, 2012)


Navigation Links:


Notices/Announcements:

  • Final Exam is graded - all scores are now posted.  Tentative final grades are also posted and will be finalized on Zzusis on Friday.


Staff and Office Hours:

Instructor:

    Prof. Kirk Peterson

      Office: Fulmer 104B (335-7867)

      Office Hours: Tues, 4-5pm, Fri, 2-3pm (or by appointment)

      E-mail:kipeters@wsu.edu

Class Web Page (this site):

      http://tyr0.chem.wsu.edu/~kipeters/Chem332/


Grading:

      points
    3 hour exams600
    homework150
    final exam250
    total1000

Grading Scale:

85 - 100%: A

80 - 84.9: A-/B+

70 - 79.9: B

65 - 69.9: B-/C+

59 - 64.9: C

56 - 58.9: C-

50 - 55.9: D

< 50% : F

Notes: Cheating of any kind will not be tolerated. This includes the inappropriate use of solution manuals for homework sets, as well as the usual forms of copying, etc.
            Note that homework is not a group project.
            At the discretion of the instructor, the grading scale may be curved downwards, but never upwards.


Tentative Schedule of Lecture Topics

  •   Historical Background (blackbody radiation, photoelectric effect, atomic line spectra, Bohr hydrogen atom, de Broglie waves, Heisenberg Uncertainty Principle)
  •   Classical and Quantum Waves (classical wave equations, Schrödinger equation, operators, Postulates of Quantum Mechanics)
  •   Quantum Mechanics of Model Systems (free particle, particle in a box, particle on a ring, simple harmonic oscillator)
  •   Angular Momentum (operators, spherical harmonics)
  •   Vibrational and Rotational Spectroscopy of Diatomic Molecules
  •   The Hydrogen Atom (overview of solutions, wave functions and orbitals)
  •   Many Electron Atoms (He atom, electron spin, antisymmetry of the wavefunction, Slater determinants)
  •   Coupling of Angular Momentum in Atoms (term symbols, atomic spectroscopy)
  •   Approximation Methods (variation technique, perturbation theory)
  •   Homonuclear Diatomic Molecules (the molecular Hamiltonian, Born-Oppenheimer approximation, solutions for H2+, molecular orbitals)
  •   Molecular Structure of Polyatomic Molecules (hybridization, MO theory, Hückel method)

Homework

  • Problem Set 1 (due at beginning of class, Wednesday, Jan. 16th); solutions here
  • Problem Set 2 (due at beginning of class, Friday, Jan. 25th); solutions here
  • Problem Set 3 (due on Friday, Feb. 1st); solutions here
  • Problem Set 4 (due on Friday, Feb. 15th); solutions here
  • Problem Set 5 (due on Wednesday, Feb. 27th); solutions here
  • Problem Set 6 (due on Wednesday, March 6th); solutions here
  • Problem Set 7 (due on Wednesday, March 27th); solutions here
  • Problem Set 8 (due on Friday, April 5th); solutions here
  • Problem Set 9 (due on Monday, April 15th); solutions here

General notes on homework assignments

(1) Show all work in order to get credit - this includes major unit conversions too (partial credit will be given, but only if I can figure out what you actually did)

(2) Use full precision for fundamental constants and masses - the data should dictate the final precision and not your rounding of known constants

(3) All final answers should have appropriate units noted

(4) Be aware of significant figures in your final result (but don't go crazy on them)

(5) No hand-drawn graphs!  Please minimize the use of your calculator's solver button as well as Wolfram Alpha

Exam Solutions


Class Resources

 


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Last revised (more or less): January 2, 2013
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