Skip to main content
Log in

Topology of spin Hamiltonian and crystal field tensors for Mn2+ in ZnSeO4·6H2O crystal

  • Published:
Applied Magnetic Resonance Aims and scope Submit manuscript

Abstract

The expansion of the {B 2} and {B 4} tensors of the spin Hamiltonian (SH) for Mn2+ (6S-state) is performed in terms of the irreducible tensor products {V L 1V L 2}2 and {V L 1V L 2}4 of the crystal field (CF) tensors {V L 1} and {V L 2}. The EPR spectra of Mn2+ in the ZnSeO4·6H2O crystal are studied and the SH tensors {B 2} and {B 4} are calculated. The tensors {V 4V 4}2 and {V 4V 4}4 are computed using the point-charge model (PCM) of the [Zn(H2O)6] complex with the C2 symmetry and are compared with the SH tensors {B 2} and {B 4}, respectively. The correct signs of the elements and the pseudo-symmety axes of the tensors are obtained both for the {B 2} tensor and {V 4V 4}2 and for the {B 4} tensor and {V 4V 4}4. It is concluded that the irreducible tensor products {V 4V 4}2 and {V 4V 4}4 provide the predominant contribution respectively to the SH tensors {B 2} and {B 4} of Mn2+.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Leushin A.M.: Fiz. Tverd. Tela (Leningrad)5, 2352–2358 (1963)

    Google Scholar 

  2. Sharma R.R., Das T.P., Orbach R.: Phys. Rev.149, 257–269 (1966)

    Article  ADS  Google Scholar 

  3. Konig E., Schnakig R.: phys. stat. sol. (b)77, 657–666 (1976)

    Article  Google Scholar 

  4. Konig E., Schnakig R.: phys. stat. sol. (b)78, 543–551 (1976)

    Article  Google Scholar 

  5. Febbraro S.: J. Phys. C20, 5367–5380 (1987)

    Article  ADS  Google Scholar 

  6. Febbraro S.: J. Phys. C21, 2577–2593 (1988)

    Article  ADS  Google Scholar 

  7. Watanabe H.: Progr. Theoret. Phys.18, 405–420 (1957)

    Article  ADS  Google Scholar 

  8. Geschwind S.: Phys. Rev.121, 363–374 (1961)

    Article  ADS  Google Scholar 

  9. White R.L., Herrman G.F., Carson J.W., Mandel M.: Phys. Rev.136, 231–239 (1964)

    Article  ADS  MathSciNet  Google Scholar 

  10. Bacquet G., Dugas J., Escribe C., Gaite J.M., Michoulier J.: J. Phys. C7, 1551–1563 (1974)

    Article  ADS  Google Scholar 

  11. Khasanova N.M., Nizamutdinov N.M., Vinokurov V.M., Bulka G.R.: Kristallografiya33, 891–900 (1988)

    Google Scholar 

  12. Nizamutdinov N.M., Khasanova N.M., Galeev A.A., Bulka G.R., Vinokurov V.M., Akkerman V.A., Yermakov G.A.: Kristallografiya34, 893–901 (1989)

    Google Scholar 

  13. Varshalovich D.A., Moskalev A.N., Khersonskii V.K.: Quantum Theory of Angular Momentum (in Russian), pp. 1–470. Leningrad: Nauka 1975.

    Google Scholar 

  14. Grant W.J., Strenberg M.W.: J. Phys. Chem. Solids25, 635–639 (1964)

    Article  ADS  Google Scholar 

  15. Khasanova N.M.: Invariant Methods of Analysis for Spin-Hamiltonian Tensors and Coordination Polyhedra in Structure of Doped Crystals (in Russian), Thesis, pp. 1–170. Kazan: Kazan Univ. 1990.

    Google Scholar 

  16. Sharma R.R., Das T.P., Orbach R.: Phys Rev.171, 378–388 (1968)

    Article  ADS  Google Scholar 

  17. Nizamutdinov N.M., Bulka G.R., Khasanova N.M., Shchepkin V.D., Vinokurov V.M.: Kristallografiya22, 775–783 (1977)

    Google Scholar 

  18. Stadnicka K., Glazer A.M., Kobalewski M.: Acta Cryst B.44, 356–361 (1988)

    Article  Google Scholar 

  19. Alexandrov P.S.: Introduction, to Set Theory and General Topology (in Russian), pp. 1–336. Moscow: Nauka 1977.

    Google Scholar 

  20. Gaite J.M.: J. Phys C.: Solid State Phys.8, 3887–3895 (1975)

    Article  ADS  Google Scholar 

  21. Salviolo G., Princivalle F., Demarchi G., Fabro C.: Phys. Chem. Minerals19, 213–219 (1992)

    ADS  Google Scholar 

  22. Khasanova N.M., Muchutdinova N.G., Nizamutdinov N.M., Gaite J.M., Galeev A.A., Bulka G.R., Vinokurov V.M.: Kristallografiya36, 668–675 (1991)

    Google Scholar 

  23. Newman D.J., Ng B.: Rep. Prog. Phys.52, 699–763 (1989)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vinokurov, V.M., Al-Soufi, A.R., Galeev, A.A. et al. Topology of spin Hamiltonian and crystal field tensors for Mn2+ in ZnSeO4·6H2O crystal. Appl. Magn. Reson. 7, 323–337 (1994). https://doi.org/10.1007/BF03162618

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03162618

Keywords

Navigation