Chem 455 Fall 2012 Homework 6 due Mon Nov 5 at 5:00pm (in box 65 on 3rd floor)
1. Oscillator. The energy eigenstates of the harmonic oscillator are described by wavefunctions that
contain the Hermite
Chem 455 Fall 2012 Homework 5 due Mon Oct 29 5:00pm (in box 65 on 3rd floor)
1. Tunneling. An electron with energy 0.200 eV runs into a potential step of height 3.50 eV. What is the
penetration depth
Chem 455 Fall 2012 Homework 1 due Mon Oct 1 in class
1. Energy units. The atomic unit of energy is the hartree (symbol Eh); its value is 27.211385 eV. How
much is this in kJ/mol and in J?
2. Energy un
Chem 455 Spring 2015 Homework 5 due Mon May 4 5:00pm (in box 71 on 3rd floor)
1. Leaky box. An electron with energy 0.250 eV runs into a potential step of height 1.80 eV. What is
the penetration depth
Chem 455 Spring 2015 Homework 6 due Mon May 11 at 5:00pm (in box 71 on 3rd floor)
Go to Links on the course website to get a table of isotope masses.
1. Oscillator. The vibrations of 14N2, dinitrogen,
Chem 455 Spring 2015 Homework 3 due Mon Apr 20 5:00pm (in box 71 on 3rd floor)
1. Orthonormal. Given two functions 0 () = 0 , 1 () = 1 + 1 , determine the values for the
coefficients and that make the
Chem 455 Fall 2012 Homework 2 due Mon Oct 8 5:00pm (in box 65 on 3rd floor)
The first six problems are intended to help you review some math prerequisites we need in this course.
You can find summarie
Chem 455 Fall 2012 Homework 5 due Mon Oct 29 5:00pm (in box 65 on 3rd floor)
1. Tunneling. An electron with energy 0.200 eV runs into a potential step of height 3.50 eV. What is the
penetration depth
Chem 455 Fall 2012 Homework 7 due Fri Nov 9 5:00pm (in box 65 on 3rd floor)
1. Angular momentum. Using the definitions of the operators , and in Cartesian coordinates,
compute the commutator [ ].
For
Chem 455 Spring 2015 Homework 6 due Mon May 11 at 5:00pm (in box 71 on 3rd floor)
Go to Links on the course website to get a table of isotope masses.
1. Oscillator. The vibrations of 14N2, dinitrogen,
Chem 455 Spring 2016 Homework 2 due Mon Apr 11 5:00pm (in box 68 on 3rd floor)
The first eight problems are intended to help you review some math prerequisites we need in this
course. You can find
Chem 455 Fall 2012 Homework 3 due Mon Oct 15 5:00pm (in box 65 on 3rd floor)
()
1. Operators. Consider the operator
. Two eigenfunctions of this operator are
()
and
, where m is a real number. (A) Sh
Chem 455 Fall 2012 Homework 3 due Mon Oct 15 5:00pm (in box 65 on 3rd floor)
()
1. Operators. Consider the operator
. Two eigenfunctions of this operator are
()
and
, where m is a real number. (A) Sh
Chem 455 Spring 2015 Homework 4 due Mon Apr 27 5:00pm (in box 71 on 3rd floor)
1. 1D box. Lycopene is the main pigment in tomatoes. It features a conjugated system extending over
21 bonds (colored in
Chem 455 Fall 2012 Homework 6 due Mon Nov 5 at 5:00pm (in box 65 on 3rd floor)
1. Oscillator. The energy eigenstates of the harmonic oscillator are described by wavefunctions that
contain the Hermite
Chem 455A Fall 2013 Midterm 1 18 October 2013
Name, or student number _
Wait until instructed to start.
All necessary constants, nontrivial equations and integrals are provided in the attached referen
Chem 455 Spring 2015 Homework 2 due Mon Apr 13 5:00pm (in box 71 on 3rd floor)
The first eight problems are intended to help you review some math prerequisites we need in this course.
You can find sum
Chem 455 Fall 2013 Homework 10 due Fri Dec 6 5:00pm (in box 71 on 3rd floor)
1. Variational theorem. The groundstate wavefunction of the particle in the 1D box (0 ) can
be approximated by () (1 ) (a)
Chem 455A Spring 2015 Midterm 1 22 April 2015
Name, or student number _
Wait until instructed to start.
All necessary constants, nontrivial equations and integrals are provided in the attached referen
Chem 455 Spring 2015 Midterm 2 Monday 18 May 2015
Name, or student number _
KEY_
Wait until instructed to start.
All necessary constants and nontrivial integrals are provided in the attached reference
Chem 455A Fall 2012 Midterm 1 19 October 2012
Name, or student number _
Wait until instructed to start.
All necessary constants, nontrivial equations and integrals are provided in the attached referen
Chem 455A Fall 2013 Midterm 1 18 October 2013
Name, or student number _
Wait until instructed to start.
All necessary constants, nontrivial equations and integrals are provided in the attached referen
Chem 455 Fall 2013 Midterm 2 Friday 15 Nov 2013
Name, or student number _
Wait until instructed to start.
All necessary constants and nontrivial integrals are provided in the attached reference sheet.
Chem 455 Spring 2012 Midterm 2 11 May 2012
Name, or student number _
Wait until instructed to start.
All necessary constants and nontrivial integrals are provided in the attached reference sheet.
Prob
Chem 455 Fall 2013 Final 11 Dec 2013
Name, or student number _
Wait until instructed to start.
All necessary constants and nontrivial integrals are provided in the attached reference sheet.
Problem
1
Chem 455 Spring 2015 Homework 9 due Mon Jun 1 5:00pm (in box 71 on 3rd floor)
1. Zeeman effect. Calculate the energy splitting, in eV, between the two 1s 2S1/2 (s = 1/2, l = 0, j = 1/2)
states of a hy
Chem 455 Spring 2015 Homework 7 due Mon May 18 5:00pm (in box 71 on 3rd floor)
1. Vibration/rotation. For 1H2H, the equilibrium bond length is 74.14 pm, and the force constant is
575.0 N m1. (A) Use
Chem 455 Spring 2015 Homework 8 due Wed May 23 5:00pm (in box 71 on 3rd floor)
1. Hydrogen atom. The energies of the stationary states of the hydrogen atom can be expressed in
several different ways.
Chem 455 Spring 2015 Homework 7 due Mon May 18 5:00pm (in box 71 on 3rd floor)
1. Vibration/rotation. For 1H2H, the equilibrium bond length is 74.14 pm, and the force constant is
575.0 N m1. (A) Use
Problem 1. (30 points) You do an experiment in which you shine light on a piece of potassium (work
function: = 2.3 eV), and you observe that electrons are emitted from the metal. When you replace the
Introduction to Complex Numbers
Tutorial 01  Sep. 28, Thu.
Algebraic Definition and Operation
Typical complex numbers are consisted of real and imaginary parts:
z = x + iy
x = Re(z): real part
y =
Homework Set 5 Solutions
Chemistry 455 Section A, Fall 2017
Instructor: Professor Lutz Maibaum
TA: Shushan He, [email protected]
Problem 1.(Solution) For this problem, a lot of you were trying to plot the t
Problem 1. Here is a table of work functions for various materials:

When measuring the photoelectric effect on an unknown material, one observes that irradiation with
violet light of wavelength 40
Problem 1.
(a) (20 points) Calculate the commutator of the position operator with the kinetic energy operator.
(b) (10 points) What does the Heisenberg uncertainty principle say about the combined unc