Fall 2001

Chem 232 - Physical Chemistry II

Room - BE 119

Instructor Lawrence Sein, Ph.D.

e-mail: lseinjr@hotmail.com

e-mail:lseinjr@hotmail.com

http://www.dr-sein.com

 

 

Office Hours - 4:00 - 5:15 PM Mondays, in Room 119 Beury; other hours by arrangement

Required Text - Physical Chemistry, Atkins, P. Sixth Edition

Recommended Text - Solutions Manual

Also Required - Scientific Calculator (NO calculators will be provided by the Instructor). The student will assume all responsibility for being able to use the calculator.

Chapter 11 Quantum Theory: Introduction and Principles

Chapter 12 Quantum Theory: Techniques and Applications

Chapter 13 Atomic Structure and Atomic Spectra

Chapter 14 Molecular Structure

 

Schedule

Grades

Recitation

Assigned Problems

Key Concepts

Quiz Scores

Exam Scores

Honesty

 

 

Schedule:

Aug 27 Chapter 11 Introduction; 11.1 - 11.2

Sep 10 Chapter 11 11.3 - 11.4

Sep 17 Chapter 11 11.5 - 11.6

Sep. 24 Chapter 12 12.1; 12.2

Oct 1 Chapter 12 12.4; Review

Oct 8 First Mid-term Examination: Answers to test here! :

Oct 15 Chapter 12 12.5; 12.6

Oct 22 Chapter 13 13.1; 13.2

Oct 29 Chapter 13 13.3; 13.4; 13.7; 13.8

Nov 5 Chapter 13 13.9; 13.10; Review

Nov 12 Second Mid-term Examination: Sample test here with answers! : NEW !!

Nov 19 Exam Review; Chapter 14.1; 42.2

Nov. 26 Chapter 14 14.3; 14.4

Dec 3 Chapter 14 14.5; 14.7; Review for Final

Dec 10 F I N A L: Sample NEW!!

 

 

Grades:

There will be 2 two-hour mid-term exams, plus one three-hour final exam. The final grade will be computed as follows:

25% Midterm one

25% Midterm two

15% Recitation

35% Final

 

There will no make-up for any examination. In extreme medical emergency, a letter from the actual, treating physician is required, as well as at least one hour's notice BEFORE the exam. If the excuse is acceptable, the student's grade will be computed from the other exams and quizzes. Cell phones and pagers are not permitted during quizzes or examinations.

 

Recitation:

5:20 - 6:00 PM Mondays

Recitation is MANDATORY (In other words, you HAVE to go)

Each recitation (except the first) will end with a 10 minute quiz. There will be no make-up for missed quizzes. The two lowest scores will be dropped in computing the Recitation portion of the grade.

First recitation on September 10 will do problems on photoelectric effect and Planck's Law.

Second recitation on September 17 will do problems on de Broglie relation and Euler's formula.

Third recitation on September 24 will cover the Heisenberg Uncertainty Principle.

Fourth recitation on October 8 will cover Dirac's Bra-ket notation

Fifth recitation on October 15 will cover Reduced Mass.

Sixth recitation on October 22 will cover Electron Spin.

Seventh recitation on October 29 will cover symmetry and anti-symmetry of wavefunctions.

 

 

Assigned Problems:

Chapter 11: Exercises 11.3 (a,b);11.7 (a,b); 11.9 (a,b); 11.12 (a,b); 11.13 (a,b) 11.14 (a,b) Problems 11.21.

Chapter 11 Exercises 11.6 (a,b); Problems 11.6, 11.8 - 11.12

Chapter 12 Exercises 12.7 (a,b); 12.8 (a,b); 12.9 (a,b); 12.13 (a,b) Problems 12.3, 12.11

Chapter 12 Exercises 1212.14 (a,b); 12.15 (a,b); 12.16 (a,b)  Problems 12.5, 12.14, 12.20

Chapter 13 Exercises 13.1 (a,b); 13.2 (a); 13.3 (a); 13.6 (a,b); 13.7 (a,b); 13.8 (a,b); 13.9 (a,b); 13.13 (a,b);

Chapter 14 Exercises 14.1 (a,b); 14.2 (a,b); 14.3 (a,b); 14.4 (a,b); 14.7 (a,b); 14.8 (b only); 14.9 (a) {IMPORTANT!}

 

Some Key Concepts:

Week 1

Tlmax = c2/5 Wien's Displacement Law

 

n=c/l

 

E=nhn (Planck's Law)

 

0.5mv2 = hn - F (Photoelectric Effect)

Week 2

l = h/p (de Broglie Relation)

 

Normalization

 

Born Interpretation of wavefunction

Week 3 

Euler's formula: eikx = cos kx + i sin kx

 

Momentum Operator: (h (bar) /I) (d/dx)

 

Free Electron problem: Eigenfunctions eikx, e-ikx

 

With eigenvalues h(bar)k, -h(bar)k

 

What happens if wavefunction is not eigenfunction (superposition)

 

Heisenberg Uncertainty Principle - DxDp > h (bar)/ 2, DEDt > h (bar) / 2

 

Commutators - {x, px], [x, y], [x, z].....

 

Operators: Position (x), Momentum (p), Energy (T), Hamiltonian (H)

 

Quantum mechanical form of operators: x , h (bar)/i d/dx, -h (bar)2/2m,....

Week 4

Particle in the Box

 

Wavefunctions: sin(npx/L)

 

Energies: n2h2/8mL2

 

Forms for 2-D Box, separation of variables

Week 5

Harmonic Oscillator

 

Hooke's Law

 

Gaussian functions, Hermite polynomials

 

E = (n + 0.5) h (bar) w

Week 6

Mid-term Examination #1

Week 7

Orbital Angular Momentum (Rotation)

 

Dirac's Bra-ket notation

 

Electron spin, fermions and bosons

 

Angular Momentum quantum numbers: l and ml

 

Wavefunctions (2 dimensions): (1/2p)1/2 exp(imlf)

 

Angular momentum operator (2-D) in polar coordinates : (h (bar)/i) d/df

Week 8

Finish Orbital Angular Momentum (Rotation) - Spherical Harmonics

 

Hydrogenic atoms

 

Definition of wavenumbers

 

Spectroscopic Terms, ionization potential

 

Radial part of wavefunction, Radial Distribution Functions

 

Four quantum numbers: n, l, ml, ms

Week 9

Orbital approximation

 

Aufbau principle, Hund's Rule

 

Slater Determinants, anti-symmetry of fermions

 

Spin-Orbit Coupling

 

Term Symbols

Week 10

Term Symbols

 

Selection rules for spectroscopic transitions

Week 11

Mid-Term Examination #2

Week 12

Magnetic moment of electron

 

Zeeman effect

 

Valence Bond Theory

 

Bonding/anti-bonding orbitals

 Week 13

"Ionic" parts of wavefunction 

 

Overlap Integral

 

Bonding/anti-bonding orbitals using explicit 3-D functions

 

Homonuclear diatomic molecules

 

Variational Theorem

 Week 14

Secular determinants

 

More Variational Theorem

 

"Ionic" wavefunctions

 

Final Review

Quiz Scores

17 Sep 2001: Average - 4.83; Standard deviation - 4.20; High - 10; Low - 0;

24 Sep 2001: Average - 5.73; Standard deviation - 2.90; High - 10; Low - 0;

8 October 2001: Average - 4.3; Standard deviation - 2.18. High - 10; Low - 1;

22 October 2001: Average - 4.77; Standard deviation - 1.70; High - 10; Low - 0;

29 October 2001; Average - 3.57; Standard deviation - 4.04.

5 November 2001; Average - 4.73; Standard deviation - 3.09.

22 November 2001; Average - 2.94; Standard deviation - 3.09; High - 10; Low - 0;

 

Exam Scores

Mid-term #2: Average - 167; Standard deviation - 98; High score - 435; Low score - 36;

Scores - 435, 296 (x 2), 280, 272, 227, 223, 221, 178, 156, 155, 148, 135, 128, 108, 107, 105 (x2), 100, 77, 73, 71, 45, 38, 36.

 

Letter Grade

Total points

A

295+

A-

270 - 294

B+

245 - 269

B

220 - 244

B-

195 -219

C+

170 -194

C

145 -169

C-

120 - 144

D+

95 - 119

D

70 - 94

D-

45 - 69

F

0 - 44

 

 

Honesty

It is the policy of the instructor of the course, that any student who cheats during any examination or quiz, will receive an F for the course - no ifs, ands, or buts.

 

Last updated: 27 November 2001