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The Basics of Crystallography and Diffraction$
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Christopher Hammond

Print publication date: 2015

Print ISBN-13: 9780198738671

Published to Oxford Scholarship Online: August 2015

DOI: 10.1093/acprof:oso/9780198738671.001.0001

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Bravais lattices and crystal systems

Bravais lattices and crystal systems

(p.86) 3 Bravais lattices and crystal systems
The Basics of Crystallography and Diffraction

Christopher Hammond

Oxford University Press

Chapter 3 describes the fourteen Bravais (space) lattices. It looks at centro and non-centrosymmetric (enantiomorphous and non-enantiomorphous) point groups and geometrical relations between the cubic P, I and F lattices. It provides a classification of the seven crystal systems. The chapter then considers the coordination of Bravais lattice points, specifically, the twenty-four space-filling Voronoi polyhedra (the Dirichlet regions or Wigner-Seitz cells). The chapter then provides examples of the cubic P, I, and F lattices. Lastly, it looks at Kelvin's a-tetrakaidecahedron: soap films and epidermal cells.

Keywords:   Bravais lattices, point groups, crystal systems, space-filling polyhedra, a-tetrakaidecahedron

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