NAME:
ANSWER KEY 1
Circle Section Number:
10
11
CHEMISTRY 444, SPRING, 2012
Examination 1, March 3, 2012
80
Answer each question in the space provided; use back of page if extra space is needed. Answer questions so the grader can READILY
understand your w
Atomic configurations
Means of describing the energy situation of a multi-electron
system
Independent-electron energy is a sum of hydrogenic energies of
the electrons
Physical Chemistry
Lecture 20
Russell-Saunders Terms, Hunds Rules,
Spin-orbit Coupling,
1
Problem 1
The rotational constant, Be , for IBr determined from microwave spectroscopy
is 0.2241619 cm1 . Approximate the bond length of this molecule.
1.1
Solution
From the Handbook:
Be =
h
2
8 2 Re
Rearranging gives the required form for solving for t
Quiz Solutions: S10 (Section 011, CHEM444)
27th February 2010
1
Quiz 1
1.1
Problem 1
What is the ratio of the following values for a particle of Argon and Krypton
at 298K?
Ar
ave
Kr
ave
Ar
ave
=
Kr
ave
Ar
most
probable
Ar
most
probable
Kr
most
83.798
= 1.
CHEMISTRY 444.11
QUIZ 1
Spring, 2011 (11S)
Feb. 17, 2011
NAME:
Score _/20
Problem 1 (8 points)
Starting from the continuous probability distribution for one-dimensional diffusion, show how one would
determine the average squared displacement in a model de
Quiz Solutions: S10 (Section 011, CHEM444)
27th February 2010
1
1.1
Quiz 1
Problem 1
What is the ratio of the following values for a particle of Argon and Krypton at 298K?
Ar ave Kr ave
Ar ave = Kr ave
mKr = mAr
83.798 = 1.45 39.948
Ar most Kr most
proba
Transport Properties: Momentum Transport,
Viscosity
13th February 2011
1
Introduction
Much as mass(material) is transported within uids (gases and liquids),
linear momentum is also associated with transport, in this case, due to
gradients in velocity.
See
Matrices
A matrix is simply an array of numbers (some of which may be complex). a11 a12 a13 A = a 21 a 22 a 23 a31 a32 a33 The row rank and column rank of a matrix tell the number of rows and columns, respectively. Square matrices have the same row and co
Corrections to Physical Chemistry Using Mathcad Last upadated: August 1, 2000
page 1
In Mathcad 7.0 and higher, the menus have been rearranged, so directions on menu selections will be incorrect. "mole" is now a unit, which necessitates some changes in c
GENERAL TIPS ON SOLVING PROBLEMS IN PHYSICAL CHEMISTRY
Cecil Dybowski Department of Chemistry and Biochemistry University of Delaware Newark, Delaware 19716-2522
Understanding concepts is the key to working problems. Read the book carefully and try to u
NAME:
CALVIN COOLIDGE
Circle Section Number:
10
11
CHEMISTRY 444, SPRING, 2013
Examination 1, March 2, 2013
80
Answer each question in the space provided; use back of page if extra space is needed. Answer questions so the grader can READILY
understand you
NAME:
ANSWER KEY 2
Circle Section Number:
10
11
80
CHEMISTRY 444, SPRING, 2012 (12S)
Examination 2, April 14, 2012
Answer each question in the space provided; use back of page if extra space is needed. Answer questions so the grader can READILY
understand
CHEMISTRY 444.10/80
QUIZ 1
NAME:
Spring, 2011
February 18, 2011
EMIL JANNINGS
Score _/20
[Numbers without decimal points are considered infinitely precise. Show reasonable significant figures
and proper units. Answers should be in reasonable units for the
1
Problem 1
For the atomic term 3 P , what are the energy dierences between the levels
arising due to spin-orbit coupling.
1.1
Solution
For the atomic term 3 P , show the energy dierences between the levels
arising due to spin-orbit coupling.
Answer For t
Geometry of dihydrogen
Dihydrogen
Physical Chemistry
Focus on translation and
Coulombic interactions
Lecture 22
Diatomic Molecules
H
Tn
me = mp/1836
Good approximation
Center of mass
determined by the
positions of the nuclei
Center-of-mass problem
is agai
Diatomic Molecules
12th May 2009
1
Hydrogen Molecule: Born-Oppenheimer Approximation
In this discussion, we consider the formulation of the Schrodinger equation for diatomic molecules; this can be extended to larger molecules. First we will consider the s
Quantum Mechanics: The Hydrogen Atom
13th April 2011
I. The Hydrogen Atom
In this next section, we will tie together the elements of the last several
sections to arrive at a complete description of the hydrogen atom. This will culminate in the denition of
Helium Atom, Many-Electron Atoms, Variational
Principle, Approximate Methods, Spin
21st April 2011
I. The Helium Atom and Variational Principle: Approximation
Methods for Complex Atomic Systems
The hydrogen atom wavefunctions and energies, we have seen, a
Waves and the Schroedinger Equation
5 april 2010
1
The Wave Equation
We have seen from previous discussions that the wave-particle duality of matter requires we describe entities through some wave-form based represenation. The most natural consideration a
Waves and the Schroedinger Equation
5 april 2010
1
The Wave Equation
We have seen from previous discussions that the wave-particle duality of matter requires we describe entities through some wave-form based represenation. The most natural consideration a
CHEMISTRY 444.11
QUIZ 3
Spring, 2008 (08S)
March 13, 2008
NAME:
Score _/15
1. (10 points)
Consider the following reaction mechanism:
k2
A + A A *+A
k2
A *+A A + A
'
k2
A+ M A * + M
'
k2
A * + M A+ M
k1
A *B + C
a. Write an expression for the rate of react
1
Problem 1
Do the one-dimensional kinetic energy and momentum operators commute?
If not, what operator does their commutator represent?
h2 d2
KE =
2m dx2
1.1
d
P = ih
dx
Solution
This question requires calculating the commutator of the operators given.
K
1
Problem 1
The d orbitals have the nomenclature d z 2 , dxy , dxz ,dyz , and dx2 y2 . Show
how the d orbital given below can be written in the form y z F (r ).
3dyz
1.1
2
=
81
1
ao
3/2
r 2 r/3ao
e
sin( ) cos( ) sin()
a2
o
Solution
z = r cos ( )
x = r si
1
Problem 1
In previous discussion, we have considered approximate methods for obtaining energies, wavefunctions, or both for quantum systems more complicated
than the Hydrogen atom. In this exercise, consider the quantum harmonic
oscillator and use the v
NAME:
JAMES BUCHANAN
Circle Section Number:
10
11
CHEMISTRY 444, SPRING, 2013 (13S)
Examination 2, April 13, 2013
80
Answer each question in the space provided; use back of page if extra space is needed. Answer questions so the grader can READILY
understa
Exam 2 Review Topics
11th April 2008
I. Review: Exam 2 Chem444 Spring 2008 Chapters Engel and Reid, inclusive. I. Kinetics Enzyme Kinetics Chain Reactions Surface Kinetics / Surface Reactions Chain Polymerizations II. Quantum Mechanics Mathematics of func
NAME:
Circle Section Number:
10
11
CHEMISTRY 444, SPRING, 2012(12S)
Final Examination, May 23, 2012
80
Answer each question in the space provided; use back of page if extra space is needed. Answer questions so the grader can READILY
understand your work;
Structure of polyatomic
molecules
Physical Chemistry
Lecture 28
Polyatomic Molecules and Symmetry
More complex than
diatomics
Wave functions
determine structure and
vice versa
Structure and wave
functions determined by
potential-energy terms
Schroedingers
Molecular orbitals
Describe the electronic structure
Physical Chemistry
Lecture 32
Hueckel Molecular Orbital Theory
Approximated in various ways
Matrix formulation
Results in a matrix equation
Diagonalization of the matrix leads to
Eigenvalues of the ener