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Derivation of the conditions for equivalent positions in crystals: The dissymmetrization of barite by electron spin resonance spectra

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Abstract

The conditions for equivalent positions on the (hkl) face of growing crystal are derived using symmetry elements of the space group. It is shown by the example of the sp. gr. D 162h that the conditions of equivalent position formation coincide with conditions of the reflection of diffracted beams by crystal. It is established that electron spin resonance (ESR) centers in barite, SO 4 (I) and SO 4 (II), with only two conjugate spectra with equal intensity out of four, and SO 4 (III), with a different intensity of conjugate spectra K αM = 2, are localized into the growth pyramid of the (001) face with a [010] step. SO 2 , SO 3 ,, and SO 4 (IV) centers, having an identical intensity of the conjugate ESR spectra with K αM = 2, are localized into the growth pyramid of the (210) face with a growth step [001].

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References

  1. International Tables for Crystallography. Brief Teaching Edition of V. A SPACE-GROUP SYMMETRY, Ed. by T. Hahn (D. Reidel Publishing Company, Dordrecht, 1988).

    Google Scholar 

  2. J. D. H. Donnay and D. Harker, Am. Mineral. 22(5), 446 (1937).

    Google Scholar 

  3. W. K. Burton, N. Cabrera, and F. C. Frank, Philos. Trans. R. Soc. London A Mathem. Phys. Sci. 243(866), 299 (1951).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. P. Hartman and W. G. Perdok, Acta Crystallogr. 8, 49 (1955).

    Article  Google Scholar 

  5. N. M. Nizamutdinov, G. R. Bulka, N. M. Khasanova, et al., Sov. Phys. Crystallogr. 22(4), 445 (1977).

    Google Scholar 

  6. G. R. Bulka, V. M. Vinokurov, N. M. Nizamutdinov, and N. M. Hasanova, Phys. Chem. Miner. 6, 283 (1980).

    Article  ADS  Google Scholar 

  7. C. M. Pina, D. Bosbach, M. Prieto, and A. Putnis, J. Cryst. Growth 187(1), 119 (1998).

    Article  ADS  Google Scholar 

  8. A. A. Chernov, E. I. Givargizov, Kh. S. Bagdasarov, et al., Modern Crystallography, Vol. 3: Crystal Growth, Modern Crystallography, (Nauka, Moscow, 1980) [in Russian].

    Google Scholar 

  9. R. A. Khasanov, Candidate’s Dissertation in Physics and Mathematics (Kazan, 1980).

  10. N. M. Nizamutdinov, Doctoral Dissertation in Physics and Mathematics (Kazan, 2000).

  11. S. A. Al’tshuler and B. M. Kozyrev, Electron Spin Resonance in Compounds of Intermediate-Group Elements (Nauka, Moscow, 1972) [in Russian].

    Google Scholar 

  12. G. B. Bokii and M. A. Poraí-Koshits, X-Ray Structure Analysis (Mosk. Gos. Univ., Moscow, 1964) [in Russian].

    Google Scholar 

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Correspondence to V. M. Vinokurov.

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Original Russian Text © R.A. Khasanov, N.M. Nizamutdinov, N.M. Khasanova, V. M. Vinokurov, G.S. Morozov, A.O. Krivtsov, 2012, published in Kristallografiya, 2012, Vol. 57, No. 5, pp. 834–840.

On the 100th anniversary of the discovery of X-ray diffraction

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Khasanov, R.A., Nizamutdinov, N.M., Khasanova, N.M. et al. Derivation of the conditions for equivalent positions in crystals: The dissymmetrization of barite by electron spin resonance spectra. Crystallogr. Rep. 57, 751–757 (2012). https://doi.org/10.1134/S1063774512050070

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  • DOI: https://doi.org/10.1134/S1063774512050070

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