Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2013
Chem 4502
Feb. 16, 2013
Quantum Mechanics & Spectroscopy
Prof. Doreen Leopold
Problem Set #2 ANSWER KEY
(5 questions, 20 points)
Due Friday, Feb. 22
(See the last 2 pages for possibly useful constants, equations and integrals. These will also be
included
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2013
Chem 4502
Jan. 29, 2013
Quantum Mechanics & Spectroscopy
Prof. Doreen Leopold
Problem Set #1
ANSWER KEY
(20 points)
Due Friday, Feb. 1
Equations, Conversions and Constants
c = 2.998 x 108 m/s
k B = 0.695 cm1 / K
h = 6.626 x 1034 Js
h = h/(2) = 1.055 x 10
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2012
Some Potentially Useful Mathematical Formulae
Trigonometric Relations
sin sin =
Some Operators
1
[cos( ) cos( + )]
2
cos cos =
1
[cos( ) + cos( + )]
2
sin cos =
1
[sin( ) + sin( + )]
2
x multiply by x
r multiply by r
p x i
d
dx
sin( ) = sin cos sin cos
H
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2013
Chem 4502
Mar. 5, 2013
Quantum Mechanics & Spectroscopy
Prof. Doreen Leopold
Problem Set #3 ANSWER KEY
(5 questions, 20 points)
Due Friday, Mar. 15
Topics included:
Postulates of quantum mechanics (from Chapter 4); also see HW 5
Rigid rotator system (from
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2014
Chem 4502
Review Sheet for Exam 4
Posted 4/9/14
Exam 4 is Wed. April 23 at 10:1011:00 AM. Rooms are the same as for Exams 1  3:
Students with last names beginning A  La Anderson 270 (our usual classroom)
Le  Z
Anderson 370
Exam 4 will cover the materi
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2013
Chem 4502
Jan. 26, 2013
Quantum Mechanics & Spectroscopy
Prof. Doreen Leopold
Problem Set #1 (20 points)
Due Friday, Feb. 1
(See the last page for possibly useful constants.)
1. (4 points, 1 point each)
(a) Consider a twoslit experiment performed with si
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2013
Chem 4502 Prof. Doreen Leopold
3/4/2013
_
Name (Please print)
_
Signature
Quantum Chemistry and Spectroscopy
Exam 2 (100 points)
Please check here if you would prefer your graded exam to be returned to you directly
(rather than being included among alphab
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2012
A
1.
For the diatomic molecule LiF, where Li has atomic mass 3 and F has atomic
mass 9, what is the reduced mass?
(a)
(b)
(c)
12 / 7
9/4
1/7
(e)
(f)
(g)
(d)
4/9
(h)
2.
Which of the following statements is/are false for a given set of QMHO wave
functions c
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2015
Chem 4502
Quantum Mechanics & Spectroscopy
Prof. Doreen Leopold
Problem Set #1
ANSWER KEY
(20 points)
Due Friday, Jan. 30, 2015
Equations, Conversions and Constants
c = 2.998 x 108 m/s
k B = 0.695 cm1 / K
h = 6.626 x 1034 Js
h = h/(2) = 1.055 x 1034 Js
e
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2012
A
The correct answer is in red. For exams B,C,D the order of the questions change but the
questions and the answers are the same.
1.
(a)
(b)
(c)
(d)
Which of the following phenomena could not be explained by classical physics
and required a quantum hypoth
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2012
A
Tests A, B, C and D
1.
Which
of
the
below
statements
about
the
wave
function
a(1) (1) b(1) (1)
is/are true if the spatial functions a and b are
(1, 2) =
a(2) (2) b(2) (2)
normalized?
Its normalization constant is 2
(e)
<  S2  > = 0
(b)
It is symmetric
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2014
Chem 4502
Feb. 12, 2014
Quantum Mechanics & Spectroscopy
Prof. Doreen Leopold
Problem Set #2 ANSWER KEY
(5 questions, 20 points)
Due Friday, Feb. 21, 2014
(See the last 2 pages for possibly useful constants, equations and integrals. These will also be
inc
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2013
Chem 4502
Mar. 5, 2013
Quantum Mechanics & Spectroscopy
Prof. Doreen Leopold
Problem Set #3 ANSWER KEY
(5 questions, 20 points)
Due Friday, Mar. 15
Topics included:
Postulates of quantum mechanics (from Chapter 4); also see HW 5
Rigid rotator system (from
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2012
A
The exam will contain some multiple choice questions similar to the ones below and one
or two short answer problems.
1.
Which of the following phenomena could be explained by classical physics and
did not require a quantum hypothesis in order to make th
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2014
Chem 4502
Quantum Mechanics & Spectroscopy
Prof. Doreen Leopold
Problem Set #1
ANSWER KEY
(20 points)
Due Monday, Feb. 3, 2014
(delayed from original due date of Friday, Jan. 31 due to U of M class cancelation)
Equations, Conversions and Constants
c = 2.9
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2012
Chem 4502
Introduction to Quantum Mechanics and Spectroscopy
Spring Semester 2012
3 Credits
Prerequisites: One prior year chemistry, one prior year physics, one prior year calculus.
Time:
Location:
MWF 10:10 11:00
Science Tchg Student Svcs 220, TCEASTBANK
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2012
Chem 4502
Physical Chemistry II (Quantum Mechanics) Fall Semester 2010 Laura Gagliardi Answers to Homework Set 2 To be collected on February 03 2012
3 Credits
From lecture 5: Consider a pair of degenerate, normalized eigenfunctions, 1 and 2, of a Hermitia
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2012
Chem 4502
Introduction to Quantum Mechanics and Spectroscopy Spring Semester 2012 Laura Gagliardi Answers to Homework Set 1 To be collected on January 27 2012
3 Credits
From lecture 1: What is the maximum number of electrons that can be emitted if a potas
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2014
A
Chemistry 3502/4502 Exam IV April 19, 2006
1) Fill in the blank on each question with the correct answer, by letter, from the list provided on the last page of the exam (you may tear the list off if you like). 2) There is one correct answer to every fil
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2014
B
Chemistry 3502/4502 Exam IV April 19, 2006
1) Fill in the blank on each question with the correct answer, by letter, from the list provided on the last page of the exam (you may tear the list off if you like). 2) There is one correct answer to every fil
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2014
Quantum Mechanics & Spectroscopy
Chem 4502
Spring 2014
Prof. Doreen Leopold
Homework 2 (Chapter 1)
Reading:
Lecture Dates:
McQuarrie/Simon Chapter 1, "The Dawn of Quantum Theory", pp. 125
Fri. Jan. 24  Wed. Jan. 29
Note: this list includes several sets
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2014
A
Chemistry 3502/4502 Exam III March 28, 2005
1) Circle the correct answer on multiplechoice problems. 2) There is one correct answer to every multiplechoice problem. There is no partial credit. On the shortanswer problems, show your work in full. 3) A
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2014
C
Chemistry 3502/4502 Exam IV April 19, 2006
1) Fill in the blank on each question with the correct answer, by letter, from the list provided on the last page of the exam (you may tear the list off if you like). 2) There is one correct answer to every fil
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2014
Chem 4502
Quantum Mechanics & Spectroscopy
Spring 2014
Prof. Doreen Leopold
Homework 3 (Chapters 2, 3.1  3.4, MathChap A)
Reading:
McQuarrie/Simon Chapter 2, "The Classical Wave Equation," pp. 3949
MathChapter A, Complex Numbers, pp. 3134
Chapter 3, se
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2014
Chem 4502  Spring 2014
Prof. Doreen Leopold
Introduction to Quantum Mechanics and Spectroscopy
Homework 1: Waves, Particles and the 2 Slit Experiment
Lecture Dates:
Wed. Jan. 22, 2014
From the "Articles, Book Excerpts & Interesting Links" section on our
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2014
Table of Integrals*
Integrals with Logarithms
Basic Forms
1
x dx =
xn+1
n+1
1
dx = ln x
x
(2)
x
dx =
a+x
(1)
n
udv = uv
v du
x ax + bdx =
x(a + x) a ln
x+
x+a
(25)
ln axdx = x ln ax x
(3)
1
1
dx = ln ax + b
ax + b
a
ln ax
1
dx = (ln ax)2
x
2
2
(2b2 +
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2014
Chem 4502
Posted 2/21/14
Revised 2/28/2014
(2/26, 28/2014 revision: see the end of the HO section on p. 4 for four topics that will not be included on
Exam 2  these are in Chapter 5, sections 3 and 67. We will discuss these in class on Friday, 2/28.)
Re
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Spring 2014
Chem 4502 Spring 2014
Review Sheet for Exam 1
(Posted 12/19/13; revised 2/3/2014)
2/3/2014 revision: added room numbers, crossed out last 2 topics in Chapter 3 on p. 4.
Reminder: Exam 1 is Mon. Feb. 10, at 10:1011:00 AM.
Last names beginning A  La
Ander
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Fall 2016
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Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Fall 2016
81an (10%.!)
Chem 4502 Prof. Doreen Leopold ANSWER KEY (Version A)
12/952015 Name (Please print)
Quantum Chemistry and Spectroscopy
Exam 4 (100 points, 14 questions; 9 pages exam, 10 pages answer key)
El IIease check here if you would prefer your graded e
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Fall 2016
See letter answers for versions A and B on p. 2. The rest of this key shows detailed
answers for version A. Version B has the same questions in a different order.
Chem 4502 Prof. Doreen Leopold
_ANSWER KEY_
12/23/2015 (Wednesday)
Name (Optional)
Quantum C
Introduction to Quantum Mechanics and Spectroscopy
CHEM 4502

Fall 2016
sh is
ar stu
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aC s
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https:/www.coursehero.com/file/9795041/S14Exam1Key2112014/
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