Physical properties of crystals: the direct-inspection method
Abstract
<h2>Acta Crystallographica</h2><h3></h3><h3>0365-110X</h3> <h2>research papers</h2> Volume 5 Part 1 Pages 44-48 January 1952 <h2>Physical properties of crystals: the direct-inspection method</h2> F. G. Fumi A(~a Crys~. (1952). 5, 44 Physical Properties of Crystals: The Direct-Inspection Method BY I~AUSTO G. FUMe*, Department of Physics, University of Illinois, U rbana, Illinois, U.S.A. (Received 26 December 1950 and in revised form 22 May 1951) The independent non-zero components of physical properties of crystals can be obtained by dire~ inspection in all crystal classes in which one can find Cartesian orthogonal co-ordinates that do not transform into linear combinations of themselves u~der the symmetry operations, i.e. in the groups S:-]:; Clb-m, C2-2, C2b-2/m; C~2mm, D2-2~2, D~b-mmm; C4--4, $4---4, C4b--4/m, C4o--4mm, D~--42m, Da-42, Da~,--4/mmm; C8-3, Se-~, C8~3m; T-23, Tb--m3, T~--43m, 0-432, Oa-m3m. The method is applied to a general third.order tensor (polar or axial) in C8, Se, C8~, T~, 0, Oh; to a fourth-order polar tensor t~, (r, s= 1, 2, 3, 4, 5, 6) in Ca, Sa, Cab, C8, Se, T, Tb (correcting the erroneous results of Pockels on photoelastic constants); and to a sixth-order polar tensor t~z= ta~ (i, k, l= 1, 2, 3, 4, 5, 6) in monoelinic and orthorhombic groups and