PHYS 254, Problem Set 2. Reciprocal lattice,
Diraction on Bravais lattices.
The homework is due Friday, Jan 30th, 2014
1. What determines the width of diraction maxima? (10p) Kittel
problem 2.4.
2. Di
PHYS 254, Problem Set 1 Solutions
Problem 1.
p
a. Square root is a multi-valued function (
1 = 1). If we keep both the
roots, no problems arise:
p
p
p
p
1 = 1 =
1 1 = ( 1) ( 1) = i i
R +1
b. By deniti
Problem 1
1 exp[ iM(a k)] 1 exp[iM(a k)]
1 exp[ i(a k)] 1 exp[i(a k)]
|F|2
sin 2 1 M(a k)
2
.
sin 2 1 (a k)
2
1 cos M(a k)
1 cos(a k)
(b) The first zero in sin
sin M( h
1
M occurs for = 2 /M. That thi
P /"50t,ml'l in Email. IGOKTaMM, ldqg_pnonj
Mnons .
,1, 0n 0|le reach MOM 54+;
Sjcwljc. 0L+om Po§$0w5 «a dnaMic, [00950113, ssumryons- m w .0. Sh
. u I Z. Ech-suons 41mm, _l£ awn!
We Mule +0 Plan : S
PHYS 254, Problem Set 1. Crystal structure
The homework is due Tuesday, Jan 21st, 2014
1. Math (10p).
a. What is wrong with the the following derivation?
1 = 1 1 = 1 1 = i i = 1
Please provide enough
,.
PHYS 635 Solid State Physics
Assignment VI (Oct 6, 2000)
Solutions
1. For a 2-dimensional crystal of area A, the area in reciprocal space occupied by each phonon state is
1
(2n? /A. For N phonon st
PHYS 254, Problem Set 3. Cohesion and
Phonons
The homework is due Tue, Feb 11th , 2014
1. Linear ionic crystal (15p). Review Kittel, Chapter 3. Please pay attention
to the repulsive energy that is tre