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Crystal Mathematics

  • Carl W. Correns

Abstract

We are all familiar with the subdivision of the natural world into the plant, animal, and mineral kingdoms. Of these the realm of minerals is the study and research area of mineralogy. A mineralogist uses the word mineral, however, in a much more restricted sense than prevails with common usage. If we examine a rock rather closely, we notice, for example, that a sandstone is composed of individual quartz grains. When we examine a specimen of granite, we can recoginze feldspar, dark mica, and perhaps also hornblende, in addition to quartz. From a specimen of certain ores, galena, chalcopyrite, and sphalerite all shine forth brilliantly. Any such individual rock constituent is a mineral. Mineralogy encompasses the study of these minerals and the manner in which they occur, and includes the properties of all rock materials, which, in the sense used here, embrace ore and salt deposits, as well as other useful mineral deposits.

Keywords

Stereographie Projection Projection Point Symmetry Element Unit Plane Hexagonal Prism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature

  1. Belov, N. V.: A class-room method for the derivation of the 230 space groups. Translated from the Russian.) Leeds 1966.Google Scholar
  2. Buerger, M. J.: Elementary crystallography. New York-London 1956.Google Scholar
  3. Burckhardt, J. J.: Die Bewegungsgruppen der Kristallographie, 2. ed. Basel u. Stuttgart 1966.Google Scholar
  4. Friedel, G.: Leçons de Cristallographie. Paris 1921.Google Scholar
  5. Goldschmidt, V.: Atlas der Kristallformen. Heidelberg 1913–1926. (9 Volumes with Figures and Tables.)Google Scholar
  6. Groth, P.: Chemische Kristallographie, 5 Volumes. Leipzig 1906–1919.Google Scholar
  7. Groth, P.: Elemente der physikalischen und chemischen Krystallographie. München u. Berlin 1921.Google Scholar
  8. Phillips, F. C.: An introduction to crystallography, 3. ed. London 1963.Google Scholar
  9. Raaz, F., u. H. Tertsch: Einführung in die geometrische und physikalische Kristallographie, 3. ed. Wien 1958.CrossRefGoogle Scholar
  10. Schoenflies, A.: Krystallsysteme und Krystallstruktur. Leipzig 1891.Google Scholar
  11. Speiser, A.: Die Theorie der Gruppen von endlicher Ordnung, 4. ed. Basel 1956.Google Scholar
  12. Terpstra, P., and L. W. Codd: Crystallometry. London 1961.Google Scholar
  13. Tertsch, H.: Die stereographische Projektion in der Kristallkunde. Wiesbaden 1954.Google Scholar
  14. Tütton, A. E. H.: Crystallography and practical crystal measurement. London 1922.Google Scholar

Copyright information

© Springer-Verlag Berlin · Heidelberg 1969

Authors and Affiliations

  • Carl W. Correns
    • 1
  1. 1.University of GöttingenGermany

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