@article {7753,
title = {Irreducible Cartesian Tensors},
journal = {Journal of Chemical Physics},
volume = {43},
number = {7},
year = {1965},
note = {ISI Document Delivery No.: V08FQTimes Cited: 125Cited Reference Count: 13Coope, J. A. R. Snider, R. F. McCourt, F. R.},
month = {Oct},
pages = {2269-2275},
type = {Article},
abstract = {This paper considers certain simple and practically useful properties of Cartesian tensors in three-dimensional space which are irreducible under the three-dimensional rotation group. Ordinary tensor algebra is emphasized throughout and particular use is made of natural tensors having the least rank consistent with belonging to a particular irreducible representation of the rotation group. An arbitrary tensor of rank n may be reduced by first deriving from the tensor all its linearly independent tensors in natural form, and then by embedding these lower-rank tensors in the tensor space of rank n. An explicit reduction of third-rank tensors is given as well as a convenient specification of fourth- and fifth-rank isotropic tensors. A particular classification of the natural tensors is through a Cartesian parentage scheme, which is developed. Some applications of isotropic tensors are given.},
isbn = {0021-9606},
url = {://000207315100020},
author = {Coope, J. A. R. and Snider, R. F. and McCourt, F. R.}
}