High Temperature X-Ray Diffraction and Landau Theory Investigations of Thermal Symmetry-Breaking Transitions

The W Point of Fm3m and the Structure of NbN1-x
  • Hugo F. Franzen
  • Sung-jin Kim
Part of the Materials Chemistry at High Temperatures book series (MCHT, volume 1)

Abstract

The Landau theory of symmetry and phase transitions is applied to the thermal symmetry-breaking transitions corresponding to the special point W in the case of the NaCl-type structure. The results are shown to include the ordered structure of defect niobium mono-nitride.

Index Entries

Structure of NbN1-x Landau theory phase transitions distorted NaCl-type structure 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Landau, L. D. and Lifschitz, E. M. Statistical PhysicsPergamon, London, 1962, chapter 14.Google Scholar
  2. 2.
    Tolédano, J.-C. and Tolédano, P. The Landau Theory of Phase TransitionsWorld Scientific, New Jersey (1987).Google Scholar
  3. 3.
    Franzen, H. F. Physical Chemistry of Inorganic Crystalline SolidsSpringer Verlag, Heidelberg (1986).CrossRefGoogle Scholar
  4. 4.
    Franzen, H. F., Haas, C., and Jellinek, F. Phys. Rev. B101248 (1974).CrossRefGoogle Scholar
  5. 5.
    Beck, L. H. and Smith, C. S. Trans. AIME 194 1079 (1952).Google Scholar
  6. 6.
    Christensen, A. N. Acta Chem. Scand. Ser. A. 30 219 (1976).CrossRefGoogle Scholar
  7. 7.
    Heger, G. and Baumgartner, O. J. Phys. C.: Solid St. Phys. 135833 (1980).CrossRefGoogle Scholar
  8. 8.
    Kovalev, O. V. Irreducible Representations of Space Groupstranslated by A. Murray Gross, Gordon and Breach, NY (1965).Google Scholar
  9. 9.
    Kim, S.-J. and Franzen, H. F., J. Less-Common Metals 143399 (1988).CrossRefGoogle Scholar
  10. 10.
    Franzen, H. F. J. Less-Common Metals 146 229 (1989).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Hugo F. Franzen
    • 1
  • Sung-jin Kim
    • 1
  1. 1.Ames Laboratory-DOE and Iowa State UniversityAmesUSA

Personalised recommendations