Irreducible fourth-rank Cartesian tensors

Andrews, D. L. and Ghoul, W. A. (1982) Irreducible fourth-rank Cartesian tensors. Physical Review A, 25 (5). pp. 2647-2657. ISSN 0556-2791

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The complete reduction of a fourth-rank Cartesian tensor into parts wich are irreducible under the three-dimensional rotation group is presented. Results are given for the general case of a tensor without index permutational symmetry, and also for tensors with specific index symmetry properties. Applications in the realm of crystal physics are indicated with particular reference to four-photon absorption, and a table of irreducible tensor representations is provided for the seven crystal classes.

Item Type: Article
Faculty \ School: Faculty of Science > School of Chemistry
Depositing User: Pure Connector
Date Deposited: 18 Jan 2016 16:02
Last Modified: 09 Feb 2023 13:42
DOI: 10.1103/PhysRevA.25.2647

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