This chapter introduces the spatial periodicity and the macroscopic scale symmetry properties which characterize crystals.


Lithium Niobate Hard Disk Drive Tunnel Magnetoresistance Rock Crystal Mineral Collection 
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Further Reading

  1. 1.
    I.V. Markov, Crystal Growth for Beginners (World Scientific, Singapore, 1996)Google Scholar
  2. 2.
    G. Dhanaraj, K. Byrappa, V. Prasad, M. Dudley, Springer Handbook of Crystal Growth (Springer, 2010)Google Scholar


  1. 1.
    S.R. Elliot, Physics of Amorphous Materials, 2nd edn. (Longman Scientific and Technical, Harlow, Essex, 1990)Google Scholar
  2. 2.
    P.G. de Gennes and J. Prost, The Physics of Liquid Crystals (Oxford University Press, Oxford, 1993)Google Scholar
  3. 3.
    D. Shechtman, I. Blech, D. Gratias, J.W. Cahn, Metallic phase with longrange orientational order and no translational symmetry, Phys. Rev. Lett. 53, 1951–1953 (1984)Google Scholar
  4. 4.
    Janot and J.M. Dubois, Les quasicristaux, matière à paradoxes (EDP Sciences, Les Ulis, 1998)Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Institut de Minéralogie, de Physique des Matériaux et de Cosmochimie, case 115, 4 place JussieuUniversité Pierre et Marie CurieParisFrance
  2. 2.Laboratoire Matériaux et Phénomènes Quantiques, Bâtiment Condorcet, case 7021Université Paris Diderot-Paris 7Paris CedexFrance
  3. 3.Grenoble-INP et Institut Néel du CNRS, B.P. 166Université Grenoble-AlpesGrenobleFrance

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