Given position-space lattice vectors a, b and c, show that the reciprocal lattice vectors 2пь х с 2πα x b a. (bxc)' a. (bx c) are such that a = b₂ = a. a = 2пс х а a. (bxc)' C₂ = 2π, a b₂ = 0.
Given position-space lattice vectors a, b and c, show that the reciprocal lattice vectors 2пь х с 2πα x b a. (bxc)' a. (bx c) are such that a = b₂ = a. a = 2пс х а a. (bxc)' C₂ = 2π, a b₂ = 0.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Given position-space lattice vectors a, b and c, show that the reciprocal lattice vectors
2πb × c
2πα x b
a. (bx c)'
a. (bx c)
are such that
a =
b₂
=
2пс х а
a. (bx c)'
a. a =
= 2π,
C₂ =
a. b. = 0.
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