Physics 361
Problem set 1
due in class October 7, 2009
P1.1. Decorated cubic lattices
(
cf.
A&M p. 92) Find a Bravais lattice and (if needed) a basis for each of these arrangements of points:
a) Basecentered cubic, that is, a simple cubic lattice with additional points in the centers of the horizonal
faces of the cubic cell.
b) Sidecentered cubic, that is, simple cubic with additional points in the centers of the
vertical
faces.
c) Edgecentered, with points added at the center of each edge joining nearest neighbors.
P1.2. skipping alternate lattice points
(
cf.
A&M prob 2, page 80) Investigate the lattices formed by all points with Cartesian coordinates
(
n
1
, n
2
, n
3
) such that
a) only even
n
i
are allowed?
b) only odd
n
i
are allowed?
c) The sum of the
n
i
is required to be even?
d) The sum is required to be odd?
Each of these is a simple Bravais lattice discussed in the chapter. Identify the lattice type and state a
primitive basis set for each.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '10
 Pucker
 Physics, Solid State Physics, Cubic crystal system, Reciprocal lattice

Click to edit the document details