Physics 361Problem set 1due in class October 7, 2009P1.1. 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) Base-centered cubic, that is, a simple cubic lattice with additional points in the centers of the horizonalfaces of the cubic cell.b) Side-centered cubic, that is, simple cubic with additional points in the centers of theverticalfaces.c) Edge-centered, 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 co-ordinates(n1, n2, n3) such thata) only evenniare allowed?b) only oddniare allowed?c) The sum of theniis 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 aprimitive basis set for each.
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