Advertisement

Theoretica chimica acta

, Volume 62, Issue 4, pp 319–327 | Cite as

Exchange interactions between dimers of chromium(III). A cluster approach

  • Urs Hauser
  • Hans U. Güdel
Original Investigations

Abstract

Exchange interactions in dimers, tetramers and octamers of chromium(III) are treated with an effective Hamiltonian of the Heisenberg-Dirac-vanVleck (HDvV) type. Energies and wave functions of the cluster states are computed. The results of interdimer interactions are: (i) energy splittings and (ii) a contamination of the cluster ground state with excited configurations. The results are used for a qualitative rationalisation of the observed low-temperature properties of Cs3Cr2Cl9.

Key words

Exchange interactions Chromium(III) dimer Chromium(III) tetramer Chromium(III) octamer 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Carlin, R. L., van Duyneveldt, A. J.: Magnetic properties of transition metal compounds, p. 77 New York: Springer Verlag, 1977Google Scholar
  2. 2.
    de Jongh, L. J., Miedema, A. R.: Adv. Phys. 23, 1 (1974)Google Scholar
  3. 3.(a)
    Stebler, A., Güdel, H. U., Furrer, A., Kjems, J.: J. Appl. Phys. 53, 1996 (1982)Google Scholar
  4. (b).
    Stebler, A.: Dissertation, University of Bern, 1981Google Scholar
  5. 4.
    Kahn, O., Briat, B.: Chem. Phys. Letters 32, 376 (1975)Google Scholar
  6. 5.
    Rotenberg, M., Bivins, R., Metropolis, N., Wooten, J. K.: The 3-jand 6-j symbols. The Technology Press MIT, 1959Google Scholar
  7. 6.
    Fano, U., Racah, G.: Irreducible tensorial sets. New York: Academic Press, 1959Google Scholar
  8. 7.
    Ralsten, A., Wilf, H. F.: Mathematical methods for digital computers, Chapter 7. New York: John Wiley and Sons, 1962Google Scholar
  9. 8.
    Wilkinson, J. H., Reinsch, C.: Linear algebra, New York: Springer Verlag, 1971Google Scholar
  10. 9.
    Wessel, G. J., Ijdo, D. J. W.: Acta Cryst. 10, 466 (1957)Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Urs Hauser
    • 1
  • Hans U. Güdel
    • 1
  1. 1.Institut für anorganische, analytische und physikalische ChemieUniversität BernBern 9Switzerland

Personalised recommendations