Chemistry 120A Problem Set 4
(due February 25, 2015)
1. McQuarrie and Simons Problems 5-38 through 5-43. Understanding how these
problems are solved will be helpful for doing the subsequent exercises of this Problem
Set.
2. Consider the three-dimensional
CHEM 120A Problem Set 1 Solutions
Qinghui Ge, Matthew Koc, Samia Hamed, Nicolas Lewis
1/26/2015
1. The solution can be found in the McQuarrie Solutions manual.
2. The solution can be found in the McQuarrie Solutions manual.
3. The solution can be found in
CHEM 120A Problem Set 2 Solutions
Qinghui Ge, Matthew Koc, Samia Hamed, Nicolas Lewis
2/25/2015
1. The solution can be found in the McQuarrie Solutions manual.
2. Here we apply the method of separation of variables to the three-dimensional harmonic
oscill
CHEM 120A Problem Set 5 Solutions
Qinghui Ge, Matthew Koc, Samia Hamed, Nicolas Lewis
3/4/2015
1. Please refer to the M&S solutions manual.
2. Please refer to the M&S solutions manual.
3. (a) First, we need to show that our wave functions () and () are no
Chemistry 120A Problem Set 6
(due March 20, 2015)
1. Problems 6-43, 6-44 and 6-45 in McQuarrie and Simon. These problems lead you
through the textbooks treatment of orbital magnetization in the hydrogen atom.
You might find them helpful as background for
CHEM 120A Problem Set 6 Solutions
Qinghui Ge, Matthew Koc, Samia Hamed, Nicolas Lewis
3/20/2015
1. Please refer to the M&S solutions manual.
2. We want to find the energy expectation values for the (2,1,1), (2,1,0), and (2,1,-1)
states of the hydrogen ato
Chemistry 120A Problem Set 7
(due April 6, 2015)
1. Problems 7-30, 7-31 and 7-32 in McQuarrie and Simon.
2. Problems 8-10, 8-11, 8-24 and 8-25 in McQuarrie and Simon.
3. Problems 8-29 through 8-32 in McQuarrie and Simon.
4. Figure 8.1 of McQuarrie and Sim
CHEM 120A Problem Set 7 Solutions
Qinghui Ge, Matthew Koc, Samia Hamed, Nicolas Lewis
3/30/2015
1. Please refer to the M&S solutions manual.
2. Please refer to the M&S solutions manual.
3. Please refer to the M&S solutions manual.
4. (a) The ionization po
CHEM 120A Problem Set 8 Solutions
Qinghui Ge, Matthew Koc, Samia Hamed, Nicolas Lewis
4/15/2015
1. (a) For distant atom limit (R ), we have one electron occupying A , another
electron occupying B , so the spatial part of the wavefuction is
1
A (1)B (2) B
Chemistry 120A Problem Set 9
(due anytime up to May 1, 2015)
1. Problems 13-6, 13-14, 13-15, 13-20, 13-30, 13-31, and 13-32 in McQuarrie and Simon.
2. In class we have discussed the rigid rotor approximation, which leads to a rotational
spectrum with tran
CHEM 120A Problem Set 9 Solutions
Qinghui Ge, Matthew Koc, Samia Hamed, Nicolas Lewis
4/25/2015
1. Please refer to the M & S solutions manual.
2. Please refer to the M & S solutions manual.
3. (a) Remember that the probability of the electromagnetic field
Name
March 6, 2015
Chemistry 120A Hour Examination
Useful formulas
Schr
odingers time-dependent equation in one dimension:
i~ (x, t)/t = H (x, t),
where ~ is Plancks constant over 2, H is the Hamiltonian operator, and
(x, t) is the wave-function as a func
Chemistry 120A Hour Examination
1. This first part of the examination asks various questions about the
electronic structures of atoms and the response of these structures to
perturbations. To answer these questions you may wish to recall that
the energy l
Chemistry 120A Problem Set 1
(due January 28, 2015 )
1. Problems 1-27 and 1-29 in McQuarrie and Simon (M&S).
2. Problems 1-37 through 1-40 in M&S
3. Problems 2-7, 2-10 and 2-18 in M&S.
4. According to classical theory, the total energy of a hydrogen atom
Chemistry 120A Problem Set 2
(due February 6, 2015)
1. Problem 3-28 in McQuarrie and Simon (M&S).
2. Consider the particle constrained to move on a circle for which you have found
the stationary states in Problem 3-28 in M&S. These states, with energies E
Chemistry 120A Problem Set 3
(due February 18, 2015)
1. Problems 4-17, 4-20 and 4-24 in McQuarrie and Simon (M&S).
2. In lecture, we sketched the calculation of the probability, P , that a particle with
energy E and mass m can transmit past a potential ba
Chemistry 120A Problem Set 5
(due March 4, 2015)
1. McQuarrie and Simons Problem 5-27.
2. McQuarrie and Simons Problems 6-17, 6-18, 6-29 and 6-34.
3. Symmetry leads to degenerate solutions to Schrdingers equation. In addition,
o
specic linear combinations
CHEM 120A Problem Set 2 Solutions
Qinghui Ge, Matthew Koc, Samia Hamed, Nicolas Lewis
2/6/2015
1. The solution can be found in the McQuarrie Solutions manual.
2. (a) To prove the orthogonality, we simply need to evaluate the integral for two cases:
(1) n
CHEM 120A Problem Set 2 Solutions
Qinghui Ge, Matthew Koc, Samia Hamed, Nicolas Lewis
2/11/2015
1. The solution can be found in the McQuarrie Solutions manual.
2. (a) As discussed in lecture, the simplest example of V (x) is a one-dimensional rectangular
~ Taking the negative gradient of this yields
1. (a) The potential V is given by V = ~
B.
~
the force F = ~
B The components of
~ do not depend on position so we have
By
Bz
x
F = x B
+
+
.
Because
the
field
is constant in the x and y directions,
y
z
x
February 17, 2016
Chemistry 120A First Midterm Exam Solutions
1. This question concerns with a particle of mass m in 2D box with the confinement potential
0
` x ` and ` y `
V (x, y) =
otherwise
(a) Show that the solution to the stationary Schrodinger equa
Chemistry 120A Problem Set 8
(due April 15, 2015)
1. A configuration interaction calculation of the H2 molecule. In lecture, we have spent
much time discussing the various common approximations to the theory of molecular electronic structure. Accurate imp