CHEM 332
Physical Chemistry II
Lecture Outline
18 February 2014
Simple Harmonic Oscillator cont'd
VIII.
Solve the Transformed Schrodinger Wave Equation
A Bound System in One Dimension, so we Quantize the Energy with
Quantum Number "v":
v = 0, 1, 2, 3, 4,
CHEM 332
Physical Chemistry II
Lecture Outline
18 February 2014
Simple Harmonic Oscillator
We now consider a Mass (m) attached to a Hookean Spring (constant = k), which is attached to a
Wall.
I.
The Restoring Force of the Spring is given by Hooke's Law:
F
CHEM 332
Physical Chemistry II
Lecture Outline
11 February 2014
Particle in a One Dimensional Box and a Three Dimensional
Box
VIII.
Particle in a One Dimensional Box with a Finite Wall
Write the Classical Hamiltonian
0
Region I
Region II
U
where V =
Regio
CHEM 332
Physical Chemistry II
Lecture Outline
11 February 2014
Particle in a One Dimensional Box cont'd
IV.
Examine plots of and * versus x.
Note the presence of nodes and anti-nodes.
Recall that Max Born gave us the interpretation that
of finding the "p
CHEM 332
Physical Chemistry II
Lecture Outline
6 February 2014
Particle in a One Dimensional Box
This simple system involves a particle of mass m confined to a one-dimensional "box" of length
L by an infinite potential V outside the box.
I.
Write the Clas
CHEM 332
Physical Chemistry
Spring 2014
Problem Set 3
1.
When an electron in a One-Dimensional Box of length 2.00 in an Excited State makes a
transition to the Ground State, a photon of wavelength 8.79 nm is emitted. Find the
quantum number n of the initi
CHEM 332
Physical Chemistry
Spring 2014
Problem Set 2
1.
Write out the Classical Hamiltonian for the electron in a Hydrogen atom. Take the nucleus
as fixed at the origin of the coordinate system. Use Cartesian Coordinates. (Hint: What is
the Potential Ene
CHEM 332
Physical Chemistry
Spring 2014
Problem Set 1
1.
Find the wavelength of an electromagnetic wave used to broadcast radio in the FM whose
frequency is 106.7 MHz.
2.
The Radiant Energy Density of a Blackbody in the interval to + d is denoted as:
f(,T
CHEM 332
Physical Chemistry
Spring 2014
Name: Answer Key
Midterm Examination 1
1.
Match the individual with their accomplishment:
A. Millikan
Proposed a probabilistic interpretation for *.
B. Planck
D
Discovered the nuclear structure of the atom.
C. Young