The Seven Crystal Systems

  • Walter Borchardt-Ott

Abstract

In the various lattices, the vectors \( \overrightarrow a ,\;\overrightarrow b \;{\text{and}}\;\overrightarrow c \) must be chosen and associated with a system of suitable crystallographic axes, a, b, c. This is not done arbitrarily. Generally, so far as is possible, the choices are made so that the direction of rotation axes, rotoinversion axes and the normals to mirror planes are parallel to \( \overrightarrow a ,\;\overrightarrow b {\text{,}}\;\overrightarrow c \) and to a, b, c:
$$ \overrightarrow a ,\;\overrightarrow b ,\;\overrightarrow c ;\;a,b,c\;{\text{//}}\;X,\;\overline X ,\;normal\;to\;m $$
(99.1)
.

Keywords

Hexagonal 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Walter Borchardt-Ott
    • 1
  1. 1.Insitute of MineralogyUniversity of MünsterMünsterGermany

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