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Symmetrie in Geistes- und Naturwissenschaft pp 131–161Cite as

Real Turned Ideal Through Symmetry

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Abstract

Chemistry is sometimes called the central science, and various justifications can be given to such claim. From considerations of the symmetry concept, there is also reason to observe the universality of chemistry [1]. Embracing the properties and behavior of matter on the level of electrons, molecules, and crystals as well as chemical transformations, point-group symmetries and spacegroup symmetries are as much involved as antisymmetry, dynamic symmetries, and the symmetry of similarity.

Aleksandr Isaakovich Kitaigorodskii, 1914–1985, In memoriam

“The rainbow is an elusive thing; yet the study of colored spectra provided clues to the structure of matter.” (after Arthur Koestler)

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References

  1. Hargittai, I., Hargittai, M.: Symmetry through the Eyes of a Chemist, VCH Verlagsgesellschaft, Weinheim and VCH Publishers, New York 1986

    Google Scholar 

  2. Fedorov, E. S.: Brief Course in Crystallography, 1910, as cited in Ref. 3

    Google Scholar 

  3. Shubnikov, A. V.: Simmetriya i antisimmetriya konechnykh figur, Izd. Akad. Nauk SSSR, Moscow 1951. English translation: A. V. Shubnikov, N. V. Belov et al., Colored symmetry: A Series of Publications from the Institute of Crystallography, Academy of Sciences of the U.S.S.R., Moscow 1951–1958, W. T. Holser, ed., Pergamon Press, New York 1964

    Google Scholar 

  4. Hargittai I.: Limits of Perfection. In: Symmetry, Unifying Human Understanding, I. Hargittai, ed., Pergamon Press, New York, Oxford 1986

    Google Scholar 

  5. Lord Kelvin: Baltimore Lectures, C. J. Clay and Sons, London 1904

    MATH  Google Scholar 

  6. Mackay, A. L.: Acta Cryst. 10, 543 (1957)

    Article  Google Scholar 

  7. Kober, F.: Chem. Zeit. 104, 151 (1980)

    Google Scholar 

  8. Dirac, P. A. M.: Int. J. Theoret. Phys. 21, 603 (1982)

    Article  MathSciNet  Google Scholar 

  9. Berry, R. S.: J. Chem. Phys. 32, 933 (1960)

    Article  Google Scholar 

  10. Heil, B.: Lecture, Veszprem 1985

    Google Scholar 

  11. Curie, P.: J. Phys. (Paris) 3, 393 (1984). C’est la dissymetrie qui cree le phenomene.”

    Google Scholar 

  12. Mislow, K., Bickart, P.: Israel J. Chem. 15, 1 (1976/77)

    Google Scholar 

  13. Prelog, V.: Science 193, 17 (1976)

    Article  Google Scholar 

  14. See Haldane, J. B. S.: Nature 185, 87 (1960), citing L. Pasteur, C. R. Acad. Sci. Paris, June 1, 1874

    Article  Google Scholar 

  15. Bouchiat, M.-A., Pottier L.: Sci. Am. 250, 100 (1984)

    Article  Google Scholar 

  16. Orgel, L.E.: The Origins of Life: Molecules and Natural Selection. John Wiley & Sons, New York, London, Sydney, Toronto 1973

    Google Scholar 

  17. Hargittai, I., Lengyel, Gy.: J. Chem. Educ. 61, 1033 (1984)

    Article  Google Scholar 

  18. Crowe, D. W.: In: The Geometric Vein, the Coxeter Festschrift, C. Davis, B. Grünbaum, and F.A. Sherk, ed., Springer-Verlag, New York, Heidelberg, Berlin 1982

    Google Scholar 

  19. Polya, G.: Z. Krist. 60, 278 (1924)

    Google Scholar 

  20. Hargittai, I., Lengyel, Gy.: J. Chem. Educ. 62, 35 (1985)

    Article  Google Scholar 

  21. Gavezzotti, A., Simonetta, M.: In: Symmetry, Unifying Human Understanding, I. Hargittai, ed., Pergamon Press, New York, Oxford 1986

    Google Scholar 

  22. Somorjai, G. A.: Science 227, 902 (1985)

    Article  Google Scholar 

  23. Venkataraman, G., Sahoo, D.: Pramana 24, 311 (1985)

    Article  Google Scholar 

  24. Donohue, J.: Acta Cryst A 41, 203 (1985)

    Article  Google Scholar 

  25. Mighell, A. D., Himes, V. L., Rodgers, J. R.: Acta Cryst. A 39, 131 (1983)

    Article  Google Scholar 

  26. Shubnikov, A. V., Koptsik, V. A.: Simmetriya v nauke i isskustve, Nauka, Moscow 1972. English translation: Plenum Press, New York, London 1974

    Google Scholar 

  27. Kitaigorodskii, A. I.: Molekulyarnie kristalli, Nauka, Moscow 1971

    Google Scholar 

  28. Kitaigorodskii, A. I.: Smeshannie kristalli, Nauka, Moscow 1983

    Google Scholar 

  29. Mamedov, Kh. S., Amiraslanov, I. R., Nadzhafov, G. N., Muzhaliev, A. A.: Decorations Remember (in Azerbaidzhani), Azemeshr, Baku 1981

    Google Scholar 

  30. Mackay, A. L.: The Harvest of a Quiet Eye. A Selection of Scientific Quotations. The Institute of Physics, Bristol, London 1981

    Google Scholar 

  31. Buerger, M. J.: Elementary Crystallography, An Introduction to the Fundamental Geometrical Features of Crystals (Fourth Printing), Wiley, New York, London, Sydney 1967

    Google Scholar 

  32. Dana, E. S.: A Textbook of Mineralogy, Fourth Edition, revised and enlarged by W. E. Ford, Wiley, New York, London, Sydney 1932

    Google Scholar 

  33. Zorkii, P. M.: Arkhitektura kristallov, Nauka, Moscow 1968

    Google Scholar 

  34. Curtin, D. Y., Paul, I. C.: Chem. Rev. 81, 525 (1981)

    Article  Google Scholar 

  35. Kravers, M. A.: Cryst Struct. Commun. 9, 951 (1980)

    Google Scholar 

  36. Danzer, L., Grünbaum, B., Shephard, G. C.: Am. Math. Mo. 89, 568 (1982)

    Article  MATH  Google Scholar 

  37. Schneer, C. J.: Morphology and Crystal Growth, Am. Cryst Assoc. 1983

    Google Scholar 

  38. Kepler, J.: Strena, seu De Nive Sexangular, 1611. English translation: Six-cornered Snowflake, Clarendon Press, Oxford 1966

    Google Scholar 

  39. Mackay, A. L.: Phys. Bull. 495 (1976)

    Google Scholar 

  40. Mackay, A. L.: Acta Cryst. 15, 916 (1962)

    Article  Google Scholar 

  41. Adolph, K. W., Caspar, D. L. D., Hollingshead, C. J., Lattman, E. E., Phillips, W. C., Murakami, W. T.: Science 203, 1117 (1979)

    Article  Google Scholar 

  42. Bernal, J. D., Carlisle, C. H.: Sov. Phys. Crystallogr. 13, 811 (1969)

    Google Scholar 

  43. Belov, N. V.: Ocherki po strukturnoi mineralogii, Nedra, Moscow 1976

    Google Scholar 

  44. Escher, M. C.: His Life and Complete Graphic Work with fully illustrated Catalogue, J. L. Locher, ed., H. N. Abrams, Inc. Publ. New York 1982

    Google Scholar 

  45. Private communication from Professor W. Jim Neidhardt, New Jersey Institute of Technology, Newark, NJ, 1984

    Google Scholar 

  46. Cf., Mackay, A. L.: Jugosl. Cent. Kristalogr. 10, 5 (1975)

    Google Scholar 

  47. Mackay, A. L.: In: Symmetry, Unifying Human Understanding, I. Hargittai, ed., Pergamon Press, New York, Oxford 1986

    Google Scholar 

  48. Hargittai, I., Orville-Thomas, W. J. eds.: Diffraction Studies on Non-Crystalline Substances. Akademiai Kiado and Elsevier, Budapest and Amsterdam, New York 1981

    Google Scholar 

  49. Shechtman, D., Blech, I., Gratias, D., Cahn, J. W.: Phys. Rev., Lett. 53, 1951 (1984)

    Article  Google Scholar 

  50. Mackay, A. L.: Chem. Br. 1061 (1985)

    Google Scholar 

  51. The New York Times, p. C2, Tuesday, January 8, 1985

    Google Scholar 

  52. “BMS”, Physics Today, p. 17, February 1985

    Google Scholar 

  53. Pauling, L.: Nature (London) 317, 512 (1985)

    Article  Google Scholar 

  54. Maddox, J.: Nature (London) 313, 263 (1985)

    Article  Google Scholar 

  55. Milgrom, L.: New Scientist, p. 34, 24 January, 1985

    Google Scholar 

  56. Mackay, A. L.: Nature (London) 315, 636 (1985)

    Article  Google Scholar 

  57. Mackay, A. L., Kramer, P.: Nature (London) 316, 17 (1985)

    Article  Google Scholar 

  58. Peterson, I.: Science News 127, 188 (1985)

    Article  Google Scholar 

  59. Penrose, R.: Bull. Inst. Math. Appl. 10, 266 (1974)

    Google Scholar 

  60. Mackay, A. L.: Sov. Phys. Crystallogr. 26, 517 (1981)

    MathSciNet  Google Scholar 

  61. Mackay, A. L.: Physica 114A, 609 (1982)

    MathSciNet  Google Scholar 

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Authors
  1. István Hargittai
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Editors and Affiliations

  1. Fachbereich Mathematik, Technische Hochschule Darmstadt, Schloßgartenstraße 7, 6100, Darmstadt, Germany

    Rudolf Wille

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© 1988 Springer-Verlag Berlin Heidelberg

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Hargittai, I. (1988). Real Turned Ideal Through Symmetry. In: Wille, R. (eds) Symmetrie in Geistes- und Naturwissenschaft. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71452-8_11

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  • DOI: https://doi.org/10.1007/978-3-642-71452-8_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16909-3

  • Online ISBN: 978-3-642-71452-8

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