PHZ 5941
Condensed Matter I
Problem Set 5 Solution
5.1 Problem 6.3, A&M, Pg. 109
(a) The HCP structure is described as a simple hexagonal Bravais lattice with a two point
basis. The primitive vectors of the simple hexagonal lattice can be taken to be thos
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Homework 2, due January 29, 1999
Problem 1. AshcroftMermin 5.2
dl=a3,a2:%c+ afg753202
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51 X #2 = [g/32A
(7:1 X 62 #3 = (Ra
31 = 2%(90 r?) f3:e)+ 27; 35:
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PHYS 635 Solid State Physics Take home exam 1
Gregory Eremeev Fall 2004 Submitted: November 8, 2004
Problem 1:Ashcroft & Mermin, Ch.10, p.189, prob.2 a) Lets prove xx = yy = zz = xx = = Now 0 = xx yy = dr (x2 y 2 ) (r)2 U (r) (3) dr (r) x (r) U (r) = x
Problem A& M 6.1 First make sure you understand Equation 6.12 in A&M (pp 103104). It shows that the planes corresponding to the smallest reciprocal lattice vector yield the smallest angle for the ring. Thus we know that the angle at which the j th diract
Homework 6, due December 6, 1996
Problem 1 Part a) At x ? a (x) = AeiK x + (Ar + B t)e?iKx 2 At x a (x) = (At + Br)eiKx + Be?iKx a 2 2 From (8.68) ( a ) = eika (? a ) a= eika(Ae?aiK 2 + (Ar + Bt)eiK a ) 2 2 which is equal to (At + Br)eiK 2 + Be?iK 2 which
PHYSICS 880.06 (Fall 2004)
Problem Set 3 Solution
3.1
A&M Chapter 4 Problem 1
(a)
Basecentered cubic: is a Bravais lattice, with a set of three primitive vectors that can be chosen as
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PHY 140A: Solid State Physics
Solution to Homework #3
TA: Xun Jia1
October 23, 2006
1 Email:
jiaxun@physics.ucla.edu
Fall 2006
c Xun Jia (October 23, 2006)
Physics 140A
Problem #1
(a). Show that the structure factor for a monatomic hexagonal closepacked
PHY 140A: Solid State Physics
Solution to Homework #2
TA: Xun Jia1
October 14, 2006
1 Email:
jiaxun@physics.ucla.edu
Fall 2006
c Xun Jia (October 14, 2006)
Physics 140A
Problem #1
Prove that the reciprocal lattice for the reciprocal lattice is the origina