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Axial point groups: rank 1, 2, 3 and 4 property tensor tables
Author(s) -
Litvin Daniel B.
Publication year - 2015
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s2053273315002740
Subject(s) - polarization (electrochemistry) , conical surface , point group , rank (graph theory) , tensor field , invariant (physics) , mathematics , point (geometry) , tensor (intrinsic definition) , pure mathematics , physics , mathematical analysis , materials science , geometry , combinatorics , chemistry , mathematical physics , exact solutions in general relativity
The form of a physical property tensor of a quasi‐one‐dimensional material such as a nanotube or a polymer is determined from the material's axial point group. Tables of the form of rank 1, 2, 3 and 4 property tensors are presented for a wide variety of magnetic and non‐magnetic tensor types invariant under each point group in all 31 infinite series of axial point groups. An application of these tables is given in the prediction of the net polarization and magnetic‐field‐induced polarization in a one‐dimensional longitudinal conical magnetic structure in multiferroic hexaferrites.