Skip to main content
Log in

Crystal-field induced dipoles in heteropolar crystals II: Physical significance

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The significance of dipole moments induced by crystal fields in heteropolar crystals is discussed with respect to some aspects of solid state physics. Experimental results from structural analyses that provide data on induced dipoles are summarized. The concept of ionic radii is reconsidered, and a new tabulation scheme is proposed in terms of deformed charge distributions. It is shown that spontaneous polarization as well as the pyro- and piezoelectric coefficients are not independent sets of crystallographic constants, but are accounted for by the structural parameters, the ionic polarizabilities and the elastic constants. The dipole concept is extended to statistically induced or random dipoles. They can account for an important part of the binding energy of substitutionally disordered and non-stoichiometric compounds and, therefore, are concluded to stabilize disorder in solids.

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. Birkholz, M.: Z. Phys. B96, 325 (1995)

    Google Scholar 

  2. Böttcher, C.J.F., Belle, O.C.v., Bordewijk, P., Rip, A.: Theory of electric polarization, Vol. I & II. Amsterdam: Elsevier 1973 and 1978

    Google Scholar 

  3. Born, M., Goeppert-Mayer, M.: In Handbuch der Physik, p. 623 ff. Geiger, H., Scheel, K. (eds.), Berlin: Springer 1933

    Google Scholar 

  4. Jauch, W.: Phys. Rev. B44, 6864 (1991)

    Google Scholar 

  5. Schotte, U., Graf, H.A., Dachs, H.: J. Phys.: Condens. MatterI, 3765 (1989)

    Google Scholar 

  6. Schotte, U., Kabs, M., Dachs, H., Schotte, K.D.: J. Phys: Condens. Matter4, 9283 (1992)

    Google Scholar 

  7. Miller, T.M., Bederson, B.: In: Advances in atomic and molecular physics, p. 1. Bates, D.R., Bederson, B. (eds.) New York: Academic Press 1977

    Google Scholar 

  8. Wyckoff, R.W.G.: Crystal structures, Vol. 1. New York: Interscience 1963

    Google Scholar 

  9. Bertaut, E.F.: J. Phys. (Paris)39, 1331 (1978)

    Google Scholar 

  10. Chattopadhyay, T.K., Schnering, H.G.v.: Z. Kristallogr.,167, 1 (1984)

    Google Scholar 

  11. Jauch, W., Schultz, A.J., Heger, G.: J. Appl. Crystallogr.20, 117 (1987)

    Google Scholar 

  12. Jauch, W., Schultz, A.J., Schneider, J.R.: J. Appl. Crystallogr.21, 975 (1988)

    Google Scholar 

  13. Gonschorek, W.: Z. Kristallogr.160, 187 (1982)

    Google Scholar 

  14. Burdett, J.K., Hughbanks, T., Miller, G.J., Richardson, J., Smith, J.V.: J. Am. Chem. Soc.109, 3639 (1987)

    Google Scholar 

  15. Howard, C.J., Sabine, T.M., Dickson, F.: Acta Crystallogr. B47, 462 (1991)

    Google Scholar 

  16. Stevens, E.D., DeLucia, M.L., Coppens, P.: Inorg. Chem.19, 813 (1979)

    Google Scholar 

  17. Buttner, R.H., Maslen, E.N.: Acta Crystallogr. B48, 764 (1992)

    Google Scholar 

  18. Cromer, D.T., Mann, J.B.: Acta Crystallogr. A24, 321 (1968)

    Google Scholar 

  19. Cromer, D.T., Liberman, D.: J. Chem. Phys.53, 1891 (1970)

    Google Scholar 

  20. Finklea, S.L., Cathey, L., Amma, E.L.: Acta Crystallogr. A32, 529 (1976)

    Google Scholar 

  21. Birkholz, M.: J. Phys: Condens. Matter4, 6227 (1992)

    Google Scholar 

  22. Cotton, F.A., Wilkinson, G.: Advanced inorganic chemistry. p. 52. New York, Wiley 1972

    Google Scholar 

  23. Zheludey, I.S.: Kristallphysik und Symmetrie, pp. 26 and 150. Berlin: Akademie-Verlag 1990

    Google Scholar 

  24. Kleber, W., Bautsch, H.-J., Bohm, J., Kleber, I.: Einführung in die Kristallographie, pp. 249 and 262. Berlin: Verlag Technik 1990

    Google Scholar 

  25. Tichy, J., Gautschi, G.: Piezoelektrische Meßtechnik, p. 76. Berlin: Springer 1980

    Google Scholar 

  26. Weißmantel, C., Haman, C.: Grundlagen der Festkörperphysik, Chap. 5.1 Berlin: VEB Deutscher Verlag der Wissenschaften 1989

    Google Scholar 

  27. Fisz, M.: Wahrscheinlichkeitsrechnung und mathematische Statistik, p. 160, Chap. 6. Berlin: VEB Deutscher Verlag der Wissenschaften 1980

    Google Scholar 

  28. Takagi, H., Cava, R.J., Marezio, M., Batlogg, B., Krajewski, J.J., Peck, W.F., Bordet, P., Cox, D.E.: Phys. Rev. Lett.68, 3777 (1992)

    Google Scholar 

  29. Birkholz, M., Rudert, R.: Z. Phys. B (in preparation)

  30. Goodenough, J.B., Hamnett, A.: In Landolt-Börnstein-Zahlenwerte aus Naturwissenschaften und Technik. Madelung. Schulz, M., Weiss, H. (eds.) Vol. 17 g, p. 208. Berlin: Springer 1984

    Google Scholar 

  31. Fiechter, S., Birkholz, M., Hartmann, A., Dulski, P., Giersig, M., Tributsch, H., Tilley, R.J.D.: J. Mat. Res.7, 1829 (1992)

    Google Scholar 

  32. Jauch, W., Schneider, J.R., Dachs, H.: Solid State Commun48, 907 (1983)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Birkholz, M. Crystal-field induced dipoles in heteropolar crystals II: Physical significance. Z. Physik B - Condensed Matter 96, 333–340 (1995). https://doi.org/10.1007/BF01313055

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01313055

PACS

Navigation