First Midterm Exam
Friday, October 26th, 2012
Answer each of the questions. You must show all your work to receive full credit.
Use the back if you need more room.
sin xdx =
x sin 2x
(sin u) = (cos u )
x 2 x sin 2x c
110B Physical Chemistry Homework #1: assigned 1/12/11; due 1/19/11 in class
1. Photoelectron spectra (30 pts) 1.1 A photoelectron spectrometer measures the kinetic energy of the electrons ionized when a molecule absorbs a given photon of light. Suppose on
Midterm Exam 2 - Answer Key
1) Multiple choice, single answer. Circle your choice. (2 pts each)
1.1) Which of the following best explains the resonance condition for a spectroscopic transition?
a.) 2 | |1 must be nonzero.
b.) The energy of
However, in 15 percent of cases, this simple election dichotomy just does not work. We call these
disruptive elections. In these cases, the political sands are shifting underfoot and the
populace is highly agitated; these situations often occur in times o
Republicans will need to win upward of 65 million votes in November. The GOP
will need virtually all Republicans plus a solid majority of Independents and larger
percentages of young people and moderates. It will need to win states it hasnt
In assigning a point group, we typically ignore
the fine detail, such as conformation isomers,
of the ligands.
In working problems using group theory, the
point group of the molecule will usually be
provided to you (but not always).
The Schrdinger Equation
The Spatio-temporal solutions are Standing Waves
The Schrdinger equation for the PIB
A Model problem: The particle in a one-dimensional box
The square of the wave function is
related to the probabilit
Electrons are fermions (half integral spin particle).
A fermion is any particle characterized by FermiDirac statistics and following the Pauli
Fermions contrast with bosons which obey BoseEinstein statistics.
Fermions do not play we
Given a basis of a vector space V,
every element of V can be
expressed uniquely as a linear
combination of basis vectors,
whose coefficients are referred to
as vector coordinates or
components. A vector space can
have several distinct sets of basis
To the physical Chemist, spectroscopy is the natural consequence of the
application of the time-dependent Schrodinger equation to a well-defined
quantum mechanical system, which by definition has well defined quantized
Infrared spectroscopy is looking at bond vibrations!
The force acting on a weight (atom) attached to a spring
(bond) is proportional to its displacement from equilibrium:
If we pull the weight
down and t
Homework 1 (Due 6/21/16 @ 10:00 a.m.) - Chemwiki
1 of 1
Write out the complete time-independent Hamiltonians for (each term is explicitly given):
Walsh calculated and discussed the effect of changes in the
geometry of a molecule, e.g. a variation of angles, on the energy
of molecular orbitals. The so-called Walsh diagrams are an
illustration of this dependency.
If the number of valence electrons in
Vibrational motion depends on reduced mass
Rotational motion depends on reduced mass
Hence, they are not separable (i.e., a rigid rotor)
Chem 110B Lecture 7
ro-vibrational spectrum (gas phase)
No transition observe
Homework 2 (Due 6/22/16 @ 10:00 a.m.) - Chemwiki
1 of 2
Normalize the following molecular orbital (on two different atoms)
are normalized and
General LCAO-MO Method of conjugated Systems
-Electron MO Theory
A. Historically the chemistry of unsaturated and aromatic compounds is markedly
different from that of saturated compounds.
B. The unique chemistry has been identified with the electron netw
Chem 110B Lecture 20
Back to Basics
Selection Rules-Time Dependent Perturbation Theory
electric dipole and
Consider a two-eigenstate time-dependent system
With the ti
The Partition Function
If we defined the partition function as
E ( p ,q )/ kT
Ei / kT
The partition functions are like any other state
The partition functions are completely defined if you
know the stat
I love Calculating Integrals like everyone else, but
Secular Determinant of benzene (within Huckel theory)
Secular Determinant of benzene (without Huckel theory)
I love Calculating Integrals, but
Symmetry consideration simplifies molecular problems can
Example: Calculate The Partition Function for HBr At
Data for Example 6.C
Calculate the a) translational, b) rotational,
c) vibrational partition function for HBr.
Data is given above.
The Van der Waals equation of state (nonideality)
The van der Waals equation is an equation of state for a fluid composed of particles that have
a non-zero size and a pairwise attractive inter-particle force.
Ideal Gas law
Van der Waals equation
Electronic Transitions (dressed to kill)
The energy levels (eignestates) can be rated in the following order electronic >
vibrational > rotational. Each of these transitions differ by an order of magnitude.
Rotational transitions occur at lower energies (