Abstract

The elastic strain energy of the matrix lying between pairs of crystallographic shear ( CS) planes in the ReO 3 type structure has been calculated as a function of CS plane spacing and CS plane type. The CS planes considered are {104}, {105}, {106}, {107}, and {001}, and in addition the results for {102} and {103}, reported previously are included. These results are used to discuss and explain the relative stabilities of differing {10 m} CS plane arrays and also the relative stabilities of members of the homologous series generated by ordered arrays of these CS planes. The microstructures of arrays of CS planes that may occur in reduced binary or ternary tungsten oxides, which are slightly distorted variants of the ReO 3 type, and in NbO 2F which has the ReO 3 structure are also considered.

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