Well Ordered Lattice Structures in Crystals

Part of the Undergraduate Lecture Notes in Physics book series (ULNP)


The lattice structure of crystals is characterized by specific symmetry properties. Translation symmetry yields the 14 Bravais lattices. Rotation, reflection at a mirror plane, and inversion at a point result in the 32 crystallographic point groups. The diffraction of X-rays by a crystal, initiated in 1912 by Max von Laue, represented the first experimental proof of the regular lattice structure of a crystal. The elements of diffraction theory, including the reciprocal lattice and Brillouin zones, are explained. The chapter ends with a discussion of quasi-crystals and the different types of bonding.


Brillouin Zone Reciprocal Lattice Metallic Bond Elementary Building Block Fivefold Symmetry 
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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Universität TübingenTübingenGermany

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