CHEM 113C Physical Chemistry Spring 2008 Instructor Professor Mike Bowers Room: Chemistry 4249 Phone: (805) 893-2893 Email: bowers@chem.ucsb.edu Office hours: MTWF 10-11 am or by appointment Teaching Assistants Scott Price Chemistry 4124 Email: spric
Chem. 113C Homework Assignment #1
Solutions
Problem 1
a) What is the possible number of microstates associated with tossing a coin N times and
having it come up H times heads and T times tails?
b) For a series of 1000 tosses, what is the total number of m
Chem 113C
Homework 1
Due April 8, 2016 in class by 9:00 AM
1) Determine the symmetry elements and the point groups for:
a) All of the isomers of C2H2F2:
b)
c)
pentagonal dipyramidal.
2) The d orbitals have the following functional form:
For symmetry purpo
Statistical Thermodynamics Chapter 15 in Textbook
We have learned from quantum mechanics that atoms and
molecules have large numbers of energy states associated with their
electronic, vibrational, and rotational motions.
We also know that energy is avail
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Homework Assignment 4
Due May 8, 2015
1. !"O !"C !"S is linear and has a rotational constant of 0.203! . This molecule was captured
in a very cold helium droplet and it was found that the = 0 to =
763312A QUANTUM MECHANICS I - Solution set 1 - Autumn 2014
a) Show that
1 i
e + ei
2
1 i
e ei .
sin =
2i
cos =
(1.1)
(1.2)
b) Use the Eulers formula and express sin(3) and cos(3) in terms of sin()
and cos().
Solution
a) From Eulers formula,
ei = cos + i s
Physics 116C
1
Solutions to Homework Set #5
Fall 2011
Boas, p. 632, problem 13.3-2
A bar 10 cm long with insulated sides is initially at 100o . Starting at t = 0, the ends are held at 0o . Find
the temperature distribution in the bar at time t.
The heat o
1
Weighting
6
N!
W =
Rotational Partitioned Function
(1)
EJ = hcBJ(J + 1)
(9)
gJ = 2J + 1
Ni !
(10)
i
Where N = number of molecules, Ni =
number of molecules in state i, and n =
number of states
2
Molecular Partitioned Function
e
q=
J
Which in the high te
1
Weighting
6
N!
W =
Rotational Partitioned Function
(1)
EJ = hcBJ(J + 1)
(9)
gJ = 2J + 1
Ni !
(10)
i
Where N = number of molecules, Ni =
number of molecules in state i, and n =
number of states
2
Molecular Partitioned Function
e
q=
J
Which in the high te
CHEM 113C Homework Assignment 2
Due Friday April 17, 2015
Late homework will not be accepted.
1. For diatomic molecules rotational transitions are typically 1 ! , vibrational transitions
are 1000 ! , and ele
Homework Assignment 3
Due Friday, May 1, 2015
1. Lets play some poker with a standard deck (i.e. 52 cards in four 13 card suits).
a) If we are playing 5-card draw, how many possible 5
Note: your answer will vary if you used T = 900 K and k = 1.410 s-1.
Again, your answers will be different if you used T = 900K.
First, take note that each rate constant in the data table must be multiplied by a factor of 10+10, in order to get the
*Note: the book used T=350K for some reason. Your answers will differ if you chose a different temperature.
Take the steady state approximation for d[R.]/dt, but ignore the term corresponding to the termination step. This assumption is acceptable be
*Note: the book used T=350K for some reason. Your answers will differ if you chose a different temperature.
Take the steady state approximation for d[R.]/dt, but ignore the term corresponding to the termination step. This assumption is acceptable be