PHYSICS 5250

ASSIGNMENT #6

DUE ON FEBRUARY 25, 2004

#1. Read sections 8.1 to 8.5 on pages 231 to 242 and summarize the important physics discussed on these pages.

#2. Prove the following theorem. For any family of lattice planes separated by a distance d, there are reciprocal lattice vectors perpendicular to the planes, the shortest of which has a length of 2 p/d. Conversely, for any reciprocal lattice vector G, there is a family of lattice planes normal to G and separated by a distance d, where 2 p/d is the length of the shortest reciprocal lattice vector parallel to G.

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