Skip to main content
SpringerLink
Log in

Analysis of atomic structures as the development of Belov’s “lattice” crystallography

  • Theory of Crystal Structures
  • Published:
Crystallography Reports Aims and scope Submit manuscript

“...lattice is a state of matter.”

(N.V. Belov)

Abstract

The theorems of lattice crystallography, which was developed by N.V. Belov, and the wave-mechanical concept of the crystalline state lie in the basis of the crystallographic analysis of structures, which determines the results of atomic ordering by sets of crystallographic planes with the formation of pseudotranslational sublattices (force skeletons of structures). The role of cationic and anionic sublattices is shown by the example of structures of natural sulfides: heyrovskyite Pb6Bi2S9 and cannizzarite (Pb,Cd)5(Bi,In)6(S,Se)14.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. N. V. Belov, Essays on Structural Crystallography and Fedorov Symmetry Groups (Nauka, Moscow, 1986) [in Russian].

    Google Scholar 

  2. A. Guinier, Theorie et Technique de la Radiocrystallographie, 2nd. ed. (Dunod, Paris, 1956; Fizmatgiz, Moscow, 1961).

    Google Scholar 

  3. E. A. Pobedimskaya and N. V. Belov, Sov. Phys. Crystallogr. 8(4), 536 (1963).

    Google Scholar 

  4. Nikolai Vasil’evich Belov. Materials to Bibiliography of Scientists of the Soviet Union (Nauka, Moscow, 1987) [in Russian].

  5. N. V. Belov, Essays on Structural Mineralogy (Nedra, Moscow, 1976) [in Russian].

    Google Scholar 

  6. N. V. Belov, Vestn. Mosk. Univ., Ser. 4: Geol., No. 6, 10 (1971).

  7. S. V. Borisov, J. Struct. Chem. 33(6), 871 (1992).

    Article  Google Scholar 

  8. S. V. Borisov, Crystallogr. Rep. 45(5), 709 (2000).

    Article  ADS  Google Scholar 

  9. S. V. Borisov, R. F. Klevtsova, S. A. Magarill, et al., J. Struct. Chem. 43(4), 615 (2002).

    Article  Google Scholar 

  10. S. V. Borisov, N. V. Pervukhina, S. A. Magarill, et al., Crystallography Reports 54(5), 758 (2009).

    Article  ADS  Google Scholar 

  11. S. V. Borisov, S. A. Magarill, and N. V. Pervukhina, Zap. Vseross. Mineral. O-va 140(1), 119 (2011).

    Google Scholar 

  12. S. V. Borisov, S. A. Magarill, and N. V. Pervukhina, J. Struct. Chem. (2011) (in press).

  13. E. Makovicky, Eur. J. Mineral. 5, 545 (1993).

    Google Scholar 

  14. Y. Moëlo, E. Makovicky, N. N. Mozgova, et al., Eur. J. Mineral. 20, 7 (2008).

    Article  Google Scholar 

  15. E. Makovicky and D. Topa, Can. Mineral. 47, 3 (2009).

    Article  Google Scholar 

  16. L. A. Olsen, K. Friese, E. Makovicky, et al. Phys Chem. Miner. (2010). DOI 10.1007/s00269-010-0376-1 123 ORIGINAL PAPER. Published online: May 18, 2010.

  17. E. Matzat, Acta Crystallogr. B 35, 133 (1979).

    Article  Google Scholar 

  18. D. Topa, E. Makovicky, and H. Dittrich, Can. Mineral. 48, 483 (2010).

    Article  Google Scholar 

  19. L. M. Plyasova, S. V. Borisov, and N. V. Belov, Sov. Phys. Crystallogr. 12(1), 25 (1967).

    Google Scholar 

  20. S. V. Borisov, Zh. Strukt. Khim. 37(5), 907 (1996).

    Google Scholar 

  21. S. V. Borisov, S. A. Magarill, and N. V. Pervukhina, Zh. Strukt. Khim. 50(2), 325 (2009).

    Google Scholar 

  22. V. P. Reutov and A. N. Shekhter, Usp. Fiz. Nauk 180(4), 393 (2010).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Nikolaev Institute of Inorganic Chemistry, Siberian Branch, Russian Academy of Sciences, Novosibirsk, pr. Akademika Lavrent’eva 3, 630090, Russia

    S. V. Borisov, S. A. Magarill & N. V. Pervukhina

Authors
  1. S. V. Borisov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. A. Magarill
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. V. Pervukhina
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. V. Borisov.

Additional information

Dedicated to the memory of N.V. Belov

Original Russian Text © S.V. Borisov, S.A. Magarill, N.V. Pervukhina, 2011, published in Kristallografiya, 2011, Vol. 56, No. 6, pp. 1001–1006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Borisov, S.V., Magarill, S.A. & Pervukhina, N.V. Analysis of atomic structures as the development of Belov’s “lattice” crystallography. Crystallogr. Rep. 56, 935–940 (2011). https://doi.org/10.1134/S1063774511060046

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063774511060046

Keywords

Search

Navigation