Abstract
When we regard crystals as macroscopic continua, we have only to consider their directional (rotational) symmetry properties; point groups suffice for that purpose. In microscopic investigation of crystals, however, periodicity (translational symmetry) of the crystal structure plays an important part. Space groups describe the full microscopic symmetry of crystals. In this chapter, we discuss various properties and the notation of space groups and study their irreducible representations. Interested readers are invited then to proceed to Chap. 5, where space group representations are discussed using induced representations and ray representations.
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© 1990 Springer-Verlag Berlin Heidelberg
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Inui, T., Tanabe, Y., Onodera, Y. (1990). Space Groups. In: Group Theory and Its Applications in Physics. Springer Series in Solid-State Sciences, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80021-4_11
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DOI: https://doi.org/10.1007/978-3-642-80021-4_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60445-7
Online ISBN: 978-3-642-80021-4
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