CHE 3190
Survey of Physical Chemistry (Fall 2014)
Study Guide for Exam 1 (Things you should know)
The exam covers Chapters 1, 2, 3 from House , Fundamentals of Quantum Chemistry , 2nd. ed.
CH 1 : The Early Days
All
All assigned End of Chapter Problems
All Practice Exercises (PE), all daily quizzes (DQ)
1.1 Blackbody Radiation
Interpret the graph f( v ) versus v
Use lmax ×T = const to determine the temperature of a star given relevant data
You don't need to know or interpret the formulas by Wien, Rayleigh, Rayleigh-Jeans, Planck
Calculations using
E = hv
;
lv = c
;
v=
v
;
c
=
h
2p
1.2 The Line Spectrum of Atomic Hydrogen
Recognize the Series (Lyman, Balmer, Paschen, Brackett, Pfund)
Balmer's Formula , Rydberg constant
Continuous Spectrum , Line Spectra
1.3 The Bohr Model for the Hydrogen Atom
Don't need to derive the formulas
n = principal QN
Reduced Mass :
DE = hv =
m=
m1m2
m1 + m2
hc
l
Ground State, Exited State , Ionization Energy
1.4 The Photoelectric Effect
Difference between the classical and the quantum mechanical understanding of electromagnetic radiation
Photon
E = hv - w
;
Unit conversions
mu 2 p 2
E=
=
2
2m
1.5 Particle-Wave Duality
De Broglie Wavelength
l=
h
h
h
= =
mu p
2mE
1.6 The Heisenberg Uncertainty Principle
DxDp ³ h
;
DxDu ³
h
;
m
DtDE ³ h
G.Lind
CH 2 : The Quantum Mechanical Way of Doing Things
Handout : Lecture Notes for CH 2
All assigned End of Chapter Problems
All Practice Exercises (PE), all daily quizzes (DQ)
We will use one dimensional time-independent systems
y (x) = state function (wave function) of a one dimensional time-independent system
y (x)
maybe a complex function
Know how to work with complex numbers
y *y
= probability density
ò y y dx
;
*
= probability
b
ò y (x)y (x)dx
*
= probability of finding the system between a and b
a
¥
ò y (x)y (x)dx =1
Normalization Condition
ò f (x)f (x)dx ¹1
Function
*
-¥
¥
*
f
is not normalized
-¥
¥
N 2 ò f * (x)f (x)dx =1 with y = Nf
Normalization : Find N , so that
-¥
¥
ò f (x)f (x)dx =1
means
f1andf2
are normal
ò f (x)f (x)dx = 0
means
f1andf2
are orthogonal
*
1
2
-¥
¥
*
1
2
-¥
A state funcion has to be "well behaved" means it has to be FINITE, SINGLE VALUED, and CONTINUOUS
Know how to normalize a function
Know how to work with OPERATORS
Know the operators
,
p̂x
p̂x2
,
Ĥ
,
x̂
,
V̂(x)
Know what an EIGENVALUE-EQUATION is
Determine whether a function is an EF of an operator, determine the EV
What is measered when
Âf = af
,
What is measered when
Âf ¹ af
Determine the average value of an observable
A table of integrals will be provided. Know how to use them
CH 3 : Particles in Boxes
3.1 The Particle in a One-Dimensional Box
All assigned End of Chapter Problems
All Practice Exercises (PE), all daily quizzes (DQ)
1
æ 2 ö 2 np
yn (x) = ç ÷ sin x
èaø
a
;
n2h2
En =
8ma 2
Interpretation
Term Diagram
Application to conjugated dyes
Calculate the absorption wavelength of a dye
CHEAT SHEET: One page (8.5x11 in), both sides, everything handwritten (no copies), no answers to end of chapter
problems or PEs or DQs. Your name must be on the sheet. The sheet has to be handed in with the exam.