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Crystal Symmetry (Crystal Pattern): II

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Crystallography and the World of Symmetry

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 113))

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Abstract

So far we have discussed the macroscopic symmetry elements that are manifested by the external shape of the three-dimensional patterns, that is, crystals. They can be studied by investigating the symmetry present in the faces of the crystals. In addition to these symmetry elements there are two more symmetry elements that are related to the detailed arrangements of motifs (atoms or molecules in actual crystals). These symmetry elements are known as microscopic symmetry elements, as they can only be identified by the study of internal arrangement of the motifs. As X-ray or electron diffraction can reveal the internal structures, these symmetry arrangements can only be identified by X-ray, Electro or Neutron diffraction. Obviously, they are not revealed in the external shape of the pattern. These symmetry elements are classified as microscopic symmetry elements. There are two such types of symmetry elements: (i) glide plane of symmetry and (ii) screw axis of symmetry.

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References

  1. M.J. Buerger, X-ray Crystallography (Wiley, New York, 1966)

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  2. M.M. Woolfson, An Introduction to X-ray Crystallography (Cambridge University Press, Cambridge, 1970)

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© 2008 Springer-Verlag Berlin Heidelberg

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(2008). Crystal Symmetry (Crystal Pattern): II. In: Crystallography and the World of Symmetry. Springer Series in Materials Science, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69899-9_5

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