Chem 455 Fall 2013 Homework 4 due Mon Oct 21 5:00pm (in box 71 on 3rd floor)
1. 1D box. Lycopene, shown below, is the main pigment in tomatoes. It features a conjugated system
extending over 21 bonds (colored in red) that accommodates 11 electron pairs. L
Chem 455 Fall 2013 Homework 2 due Mon Oct 8 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 summaries in the Math Appendix of the textbook. In addition t
Chem 455 Fall 2013 Homework 7 due Tue Nov 12 5:00pm (in box 71 on 3rd floor)
1. Vibration/rotation. For the molecule HD (D being deuterium, 2H), the equilibrium bond length is
74.14 pm, and the force constant is 575.0 N m-1. Use the rigid rotator-harmonic
Chem 455 Fall 2013 Homework 10 due Fri Dec 6 5:00pm (in box 71 on 3rd floor)
1. Variational theorem. The ground-state wavefunction of the particle in the 1D box (
can
be approximated by
(
) (a) Normalize the wavefunction. (b) Compute the associated
energy
Chem 455 Spring 2012 Midterm 1 20 April 2012
Name, or student number _
Wait until instructed to start.
All necessary constants and nontrivial integrals are provided in the attached reference sheet.
Problem
1
2
3
4
5
6
7
Points total
20
13
12
15
15
12
13
1
Chem 455 Fall 2013 Homework 9 due Mon Nov 25 5:00pm (in box 71 on 3rd floor)
1. Zeeman effect. Calculate the energy splitting, in eV, between the two 1s 2S1/2 states of a hydrogen
atom placed in an external magnetic field that is parallel to the z axis an
Chem 455 Spring 2012 Final 5 Jun 2012
Name, or student number _
Wait until instructed to start.
All necessary constants and nontrivial integrals are provided in the attached reference sheet.
Problem
1
2
3
4
5
6
7
8
9
Points total
15
15
10
15
15
10
15
15
1
Chem 455 Fall 2012 Final 12 Dec 2012
Name, or student number _
Wait until instructed to start.
All necessary constants and nontrivial integrals are provided in the attached reference sheet.
Problem
1
2
3
4
5
6
7
8
9
10*
Points total
15
15
10
15
15
10
15
1
Chem 455 Thursday Tutorial
Week 4: Oct. 17th 2013
Stephanie Hemmingson
[email protected]
Office hours: Friday 1:00-2:00 pm
Chemistry study center
TIPS AND CAUTIONS
1. Safe substitution can prevent costly algebra
errors
Dont forget to change your bounds
2. K
Displacement.
Calculate the mean-square displacement, 2 , for a general harmonic-oscillator eigenstate ( ).
=
2 /2
=
+1 = 2 () 21 ()
First, let's plug in the expressions for the wavefunction
+
2 = 2 =
2 d =
+
2 /2
2
e
+
2 e
2 /2
2
2 e d
Next, w
Chem 455 Fall 2013 Homework 8 due Mon Nov 18 5:00pm (in box 71 on 3rd floor)
1. Hydrogen atom. The energies of the stationary states of the hydrogen atom can be written in several
different ways. Starting from
(
show how to express
)(
)
as a function of t
Chem 455 Fall 2013 Homework 2 due Mon Oct 8 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 summaries in the Math Appendix of the textbook. In addition t
Chem 455 Fall 2013 Homework 1 due Mon Sep 30 at 5pm in box #71 on the third floor
1. Energy units. A conventional atomic unit of energy is the hartree (symbol Eh); its value is 4.3597440
x10-18 J. How much is this in kJ/mol and in eV?
2. Energy units. One