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Crystal anisotropy and tensors

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Symmetry and Physical Properties of Crystals

Abstract

This chapter shows why the anisotropy of crystals requires a representation of their physical properties by tensors, and defines them. It then shows how the symmetry of a given crystal (its point group) influences the form of these material tensors. Curie’s and Neumann’s principles and their application to the tensor properties of crystals are presented in Sect. 9.5.

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References

  1. J.L. Spain, in Chemistry and Physics of Carbon, vol. 8, ed. by P.L. Walker (Marcel Dekker Publisher, New York, 1973), pp. 130–131

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  2. D.E. Sands, Vectors and Tensors in Crystallography (Dover Publications, Mineola, New York, 1995)

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  3. L. Schwartz, Les tenseurs (Hermann, Paris, 1975)

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  4. F.G. Fumi, Physical properties of crystals: the direct inspection method, Acta Crystallographica 5, 44–48 (1952)

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Correspondence to Cécile Malgrange .

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© 2014 Springer Science+Business Media Dordrecht

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Malgrange, C., Ricolleau, C., Schlenker, M. (2014). Crystal anisotropy and tensors. In: Symmetry and Physical Properties of Crystals. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-8993-6_9

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  • DOI: https://doi.org/10.1007/978-94-017-8993-6_9

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-017-8992-9

  • Online ISBN: 978-94-017-8993-6

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