By J. C. Phillips (auth.), N. B. Hannay (eds.)
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As solutions accumulate one may expect them to overlap and to suggest further solutions to other cases. At present the only family of binary compounds to which this approach has been applied systematically is the AnBS - n family of semiconductors and insulators, which has been studied extensively because of its technological importance. From trends in chemical bonding and material properties in this family, however, we can expect to learn a great many things which apply to other solids as well.
Chern. Solids 23, 103 (1962). 19. 20. 21. 22. 41 -----2 Energy Bands D. Weaire Department of Engineering and Applied Science Becton Center, Yale University New Haven, Connecticut 1. 1. Historical Remarks The author of this chapter was not even born when the pioneering studies of the band structure of solids were being conducted by Slater, Wigner, Seitz, and others in the 1930's, and he will not presume to paraphrase those early achievements. Suffice it to say that most of the ground rules for the description of energy bands in crystals were worked out rather thoroughly at that time.
We conclude that the GoldschmidtPauling model can give a good account of chemical trends in properties of at least the alkali halides, but that it is not capable of predicting structural transitions. More recent refinements of the Goldschmidt-Pauling approach have modified the functional form of the interatomic interactions. Dipole and quadrupole terms have been added to the electrostatic attractive interations, and the repulsive forces have been given the form required from quantum mechanical considerations (B'e- Ar rather than Br-n).