Abstract
A simple theory is developed which shows that the regions of stability of the CsCl, NaCl and ZnS structures can be demarcated in a two-dimensional plot of the radius ratio versus the strength of the van der Waals interaction. There is good agreement with experiment. The effect of pressure on these structures is explained qualitatively. The increased occurrence of the ZnS structure and the decreased stability of the CsCl structure in the A2+ B2− crystals compared to the A+B− crystals is also explained. Finally it is shown that the radius ratio and the polarizabilities of the ions are the important factors that determine the structures of AB2 crystals.
Similar content being viewed by others
References
Bertaut E F 1978J. Phys. 39 1331
Born M and Mayer J E 1932Z. Phys. 75 1
Evans R C 1964An Introduction to crystal chemistry (Cambridge: University Press)
Kjekshus A and Pearson W B 1964Progress in solid state chemistry 1 83 (Pergamon Press)
Narayan R 1979Pramana 13 559
Narayan R and Ramaseshan S 1976J. Phys. Chem. Solids 37 395
Narayan R and Ramaseshan S 1977Curr. Sci. 46 359
Narayan R and Ramaseshan S 1979Pramana 13 581
Pauling L 1928Z. Kristallogr. 67 377
Phillips J C and Van Vechten J A 1969Phys. Rev. Lett. 22 705
Pitzer K A 1959 inAdvances in chemical physics, (ed) I Prigogine (New York: Interscience) Vol. 2. p. 59
Simons G and Bloch A N 1973Phys. Rev. B7 2754
Slater J C and Kirkwood J G 1931Phys. Rev. 37 682
St John J and Bloch A N 1974Phys. Rev. Lett. 33 1025
Wyckoff R W G 1971Crystal structures (New York: Interscience) Vols. 1 and 2
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Narayan, R. Semi-quantitative theory of the structures of simple ionic crystals. Pramana - J. Phys. 17, 13–23 (1981). https://doi.org/10.1007/BF02872033
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02872033