Chemistry 288
Preliminary Exam I Study Guide
Spring 2004, Marohn
Guidelines
In order to do well on the exam, you should
be able to set up the homework problems
without
referring to the textbook
I will give you a lot of formulas on the exam.
The formulasandconstants page will be posted this
evening, two days before the exam..
Coverage
Preliminary Exam I will cover
•
Lectures 1 through 11 inclusive
•
Homeworks 1 through 5 inclusive
•
Kittel and Kroemer, Chapters 1 – 3, and 5.
You should memorize the boxed equations
1
Entropy and temperature
Kittel and Kroemer, Chapter 1 and 2
•
We started by considering a collection of twostate “molecules.”
We defined the spin excess
s
=
N
upper
−
N
lower
. Know what
s
means physically, that is, be able to draw it.
•
I will give you the formulas for a twostate system
g
(
N, s
) =
N
!
N
up
!
N
down
!
−→
g
(
N, s
) =
parenleftbigg
2
πN
parenrightbigg
1
/
2
2
N
e

2
s
2
/N
•
I will give you that
–
2
s
=
N
up
−
N
down
and
N
up
+
N
down
=
N
–
N
up
=
N/
2 +
s
and
N
down
=
N/
2
−
s
•
Be able to write the energy in terms of the spin excess for a number of physical systems. I will give
you
–
a two level atom:
U
=
ǫ
0
N
down
+
ǫ
1
N
down
–
a two level atom in an electric field:
U
=
· · ·
+ 2
sμ
e
E
–
a spin in a magnetic field:
U
=
−
2
sμ
m
B
•
Be able to write the length of a polymer in terms of
s
, as on the homework
–
l
=
l
0
(
N
left
−
N
right
)
•
Be able to sketch the large
N
version of the multiplicity function
g
(
N, s
)
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Chemistry 288
Preliminary Exam I Study Guide
Spring 2004, Marohn
•
You should know that
σ
= log
g
(1)
•
You don’t need to memorize
–
Sterling’s approximation or how to derive it
–
The binomial formula
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 Spring '06
 FREED, J
 Chemistry, Thermodynamics, pH, Entropy, Fundamental physics concepts, Helmholtz free energy, Marohn

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