The interaction between non-parallel {102} crystallographic shear planes in slightly reduced tungsten trioxides

The displacements of non-parallel {102} CS planes in slightly reduced WO₃ observed by electron microscopy were quantified with the theory of elasticity for an isotropic continum. By this calculation, the magnitude of the force between cations in CS planes was estimated. It was found that the principle force involved was an attractive one between cations in the CS plane which was calculated to be $\text{～ 1.2 × 10}{}^{13}\text{(}\text{dyne}\text{cm}{}^2\text{) = 7.8 (}\text{eV}\text{A}\text{?}{}^3\text{)}$. Using this value, the magnitude of the strain energy was also evaluated, and was found to be larger in value than the energy associated with the dissociation of oxygen atoms from WO₃ lattice. This suggests that the strain energy plays a dominant role in the behaviour of CS planes.