# Matrices, bases and matrix elements for cubic double crystallographic groups

@article{Chalaev2012MatricesBA, title={Matrices, bases and matrix elements for cubic double crystallographic groups}, author={Oleg Chalaev}, journal={arXiv: Materials Science}, year={2012} }

Matrices of the irreducible representations of double crystallographic point groups O, Td, Ox{1,I} and Tdx{1,I} are derived. The characteristic polynomials (spinor bases) up to the sixth power are obtained. The method for the derivation of the general form of an arbitrary matrix element of a vector/tensor quantity is developed; as an application, the kp matrix elements are calculated. It is demonstrated that the other known method for obtaining the bases of the irreducible representations of…

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