Research work · 2015

The reciprocal lattice

Christopher Hammond

Oxford University Press eBooks

Abstract

Abstract Chapter 6 starts by looking at some basic concepts: representation of a family of lattice planes by a reciprocal lattice vector—leading to reciprocal lattices and unit cells. It then considers the relations between the ‘direct’ and reciprocal lattice unit cells for the cubic P, I, and F lattices. It also considers the derivation of the relations between lattice vectors a, b, c, and reciprocal lattice vectors a*, b*, c*. The chapter ends by providing proof of some useful geometrical relationships, lattice planes, and reciprocal lattice planes.

DOI: 10.1093/acprof:oso/9780198738671.003.0006