Premium
Covariant Forms of the Third‐ and Fourth‐Rank Tensors such as Piezoelectric Moduli and Piezo‐Optical Coefficients
Author(s) -
Iosilevskii Ya. A.
Publication year - 1974
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220610245
Subject(s) - covariant transformation , rank (graph theory) , tensor (intrinsic definition) , invariant (physics) , moduli , mathematics , pure mathematics , mathematical physics , physics , mathematical analysis , algebra over a field , combinatorics , quantum mechanics
Covariant forms of the third‐rank tensor L ikl invariant under the permutation k ⇄ I and the fourth‐rank tensor L p iklm invariant under the permutations i ⇄ k and I ⇄ m are suggested for all the crystal classes. A covariant procedure of reducing the given tensor to principal axes is presented when these axes are not completely determined by the symmetry elements of the crystal. A covariant method of constructing the fourth‐rank reciprocal tensor is given.