Physics 463
Winter 2012
HW # 02 Solutions
1. The Wigner-Seitz cell is a special kind of primitive cell where the lattice point is in the center of the cell.
Each point in the boundary is the minimum l
Physics 463
Winter 2012
HW #01 Solutions
1. Discuss qualitatively the various mechanisms of bonding. Give examples of materials for each type of
bond and also materials that do not have a clear single
Physics 463, W12
Name (First, Last): _
VII. Semiconductors (due April 12)
Reading: Kittels Chap 8 (all) & Chap 17 (partial): p185-221, p503-513.
Ashcroft & Mermin Chap 28-29: p561-615
1. Kittel 8.1: I
Physics 463
Winter 2011
HW # 07 Solutions
1. a. The donor ionization energy is given by Equation 8.51, which is an analogy to the hydrogen atom taken into
account a dierent eective mass and dielectric
Physics 463, W12
Name (First, Last): _
VI. Energy Bands in Solids (due Mar. 29)
Reading: Kittels Chap 7, 8 (1st half) & 9: p161-204, p221-235, 242-255.
Ashcroft & Mermin Chap 8-10 & 12.
A function ()
Physics 463
Winter 2012
HW # 06 Solutions
1. Show V (r) =
G
VG eiGR where G are the reciprocal lattice vectors.
V (r) = V (r + T) =
G
VG eiGR eiGT
Therefore eGT = 1 for this to be satised. If G is a r
Physics 463, W12
Name (First, Last): _
V. Free Electron Gas Theory of Metals (due Mar. 8)
Reading: Kittels Chap 6, Ashcroft & Mermin Chap 1-3.
1. Particle in the box: Quantum well lasers. (10 pts)
Con
Physics 463
Winter 2012
HW # 05 Solutions
1. A quantum well refers to connement of the electrons wavefunction in one direction and in the simplest case,
an innite square well (see Figure 6.2). The ene
Physics 463
Winter 2012
HW # 04 Solutions
1. a. The problem assumes that the restoring force is due to the uniform sea of electrons inside the sphere of
en r )
radius r. The electric eld from such a s
Physics 463
Winter 2011
HW # 03 Solutions
1. a. The Miller indices, (hlk ), dene a plane that intersects the points a1 , al2 and a3 where ai are the primitive
h
k
vectors of the space lattice.
Therefo
Physics 463, W12
Name (First, Last): _
I. Crytal Binding (due Jan. 17)
Reading (invaluable): Kittels, p49-73; Ashcroft & Mermin, p373-414.
Further study and references:
i. Anderson, P.W. More is Diffe