The base translation vectors of the three dimensional tetragonal lattice are given as a1 = ai; a2 = aj; a3 = ck. (a) Find the corresponding reciprocal lattice translation vectors, and (b) write down the coordinates of the 8 vertices of the first Brillouin zone.

The base translation vectors of the three dimensional tetragonal lattice are given as a1 = ai; a2 = aj; a3 = ck. (a) Find the corresponding reciprocal lattice translation vectors, and (b) write down the coordinates of the 8 vertices of the first Brillouin zone.

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter11: Molecular Structure

Section: Chapter Questions

Problem 11P

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Question

The base translation vectors of the three
dimensional tetragonal lattice are given as aj =
ai; a2 = aj; a3 = c k.
(a)
Find the corresponding reciprocal lattice
translation vectors, and
(b)
write down the coordinates of the 8 vertices
of the first Brillouin zone.
Answer:

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