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Vol 67 Iss. 2
Pages:
174-184
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RUS
Article

Dynamic symmetry in crystallography, mineralogy, petrography and the organic world

Authors:
I. I. Shafranovsky
About authors
  • Leningrad Mining Institute
Date submitted:
1973-08-07
Date accepted:
1973-10-21
Date published:
1974-02-01

Abstract

The general doctrine of symmetry owes much of its development to crystallographers and mineralogists who worked within the walls of the Leningrad Mining Institute. First of all, one should recall the achievements of the brilliant scientist E. S. Fedorov (1853–1919).

Область исследования:
(Archived) Without section
Funding:

None

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References

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  2. Boldyrev A. K. Crystallography. L.–M.–Grozny–Novosibirsk, Gorgeonefteizdat, 1934 (in Russian)
  3. Grigoriev D. P. Structure of cubo-octahedral crystals of synthetic diamond. Sb.: Almazy In collected works: Diamonds. M., 1969, No. 3 (in Russian)
  4. Dolivo-Dobrovolsky V. V. Investigation of the dodecahedral-icosahedral system. Zap. Ross. mineral. obshch. Proc. Russ. Mineral Society, pt. 52, issue 1, 1924 (in Russian)
  5. Curie P. Selected Works. M.–L., Nauka, 1966 (in Russian)
  6. Lemmlein G. G. Sectorial structure of crystals. M., Izd-vo AN SSSR Publishing House of the AS USSR, 1948 (in Russian)
  7. Mikheev V. I. Homology of Crystals. L., Gostoptekhizdat, 1961 (in Russian)
  8. Mokievsky V. A., Shafranovsky I. I., Vovk P. K., Afanasyev I. I. Geometrical derivation of the laws of twinning of crystals. Kristallografiya Crystallography, vol. 11, issue 4, 1966 (in Russian)
  9. Nalivkin D. V. Elements of symmetry of the organic world. Izv. Biol. nauchno-issl. in-ta pri Permskom un-te Proc. Biol. Scientific and Research Institute at Perm University, vol. 3, issue 8, 1925 (in Russian)
  10. Nalivkin D. V. Curvilinear symmetry. Sb.: Kristallografiya In collected works: Crystallography. M., Metallurgizdat, 1951 (in Russian)
  11. Orelkin B. P., Pigulevsky G. V. Application of the crystallochemical method of E. S. Fedorov in scientific and practical work. Sb.: Novye idei v khimii In collected works: New Ideas in Chemistry, No. 5 (Crystallochemical Analysis). SPb, Izd-vo Obrazovanie, publishing house Education 1914 (in Russian)
  12. Plotnikov L. M., Shafranovsky I. I. Symmetry in geology. Sb.: Problemy mineralogii i petrologii In collected works: Problems of Mineralogy and Petrology. L., Nauka, 1972 (in Russian)
  13. Povarennykh A. S. On regularities in the distribution of mineral species by syngonies, symmetry classes and space groups. Mineral. sb. L'vovsk. gos. un-ta Mineral. collected works. Lvov SU, 1966, No. 20 (in Russian)
  14. Spassky N. Ya., Kravtsov A. G. Evolution of animals and symmetry. Simmetriya v prirode (tez. dokladov) Symmetry in Nature (abstracts). Izd. Leningrad. obl. pravleniya nauchn.-tekhn. gorn. obshch. PH Leningrad Oblast Board of Scientific and Technical Mining Society, 1971 (in Russian)
  15. Fedorov E. S. Beginnings of the doctrine of figures. Zap. Imp. SPb. Mineral. obshch. Society, pt. 21, 1885 (in Russian)
  16. Fedorov E. S. Symmetry of regular systems of figures. Zap. Imp. SPb. Mineral. obshch. Proc. Imp. SPb. Mineral Society, pt. 28, 1891 (in Russian)
  17. Fedorov E. S. Some corollaries from the law of the ellipsoid of syngony. Izv. Akad. nauk Proc. Acad. of Sciences, 1904, vol. 31, No. 2 (in Russian)
  18. Shafranovsky I. I. Symmetry groups in structural petrology. Zap. Vsesoyuzn. mineral. obshch. Proc. All-Union Mineral Society, pt. 85, issue 4, 1956 (in Russian)
  19. Shafranovsky I. I. To the question of clarifying the universal symmetry principle of P. Curie. Zap. Vsesoyuzn. mineral. obshch. Proc. All-Union Mineral Society, pt. 93, issue 4, 1964 (in Russian)
  20. Shafranovsky I. I. Symmetry in Nature. L., Nedra, 1968 (in Russian)
  21. Shafranovsky I. I. To the question of the statistical distribution of minerals by categories of syngonies. Zap. Vsesoyuzn. mineral. obshch. Proc. All-Union Mineral Society, pt. 97, issue 3, 1968 (in Russian)
  22. Shafranovsky I. I. Crystallographic laws of E. S. Fedorov and statistical distribution of minerals by syngonies.Sb.: Idei E. S. Fedorova v sovremennoi kristallografii i mineralogii In the collection: Ideas of E. S. Fedorov in Modern Crystallography and Mineralogy. L., Nauka, 1970 (in Russian)
  23. Shafranovsky I. I., Koren R. V. False (distorted) forms of real crystals. Sb.: Idei E. S. Fedorova v sovremennoi kristallografii i mineralogii In the collection: Ideas of E. S. Fedorov in Modern Crystallography and Mineralogy. L., Nauka, 1970 (in Russian)
  24. Shubnikov A. V. On the works of Pierre Curie in the field of symmetry. Uspekhi fiziki Physics Achievements Physics Achievements, 1956, vol. 59, issue 4 (in Russian)
  25. Shubnikov A. V. The Problem of Dissymmetry of Material Objects. M., Izd-vo AN SSSR, Publishing House of the AS USSR, 1961 (in Russian)
  26. Shubnikov A. V., Koptsik V. A. Symmetry in Science and Art. M., Nauka, 1971 (in Russian)
  27. Internationale Tabellen zur Bestimmung von Kristallstrukturen. Berlin, 1935
  28. Paterson M. S., Weiss L. E. The Geological Society of America Bulletin, New York, No. 72, 1961

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