tsm2param.m

Attempts to convert a traceless symmetric 3x3 interaction matrix into axiality, rhombicity and three Euler angles. The transformation is unstable and should be avoided if at all possible: it is always best to just publish the 3x3 matrix as recommended by IUPAC.

Syntax

    [ax,rh,angles]=tsm2param(M)

Arguments

   M    -  3x3 matrix or its five independent elements in the 
           order of [Mxx, Mxy, Mxz, Myy, Myz]

Outputs

   ax     -  axiality, Haeberlen order of eigenvalues

   rh     -  rhombicity, Haeberlen order of eigenvalues

   angles -  Euler angles (one of the eight equivalent 
             sets), radians

Notes

Haeberlen convention has Z as the maximum absolute eigenvalue, and X as the minimum absolute eigenvalue.

See also

mat2axrh.m, axrh2mat.m, anas2mat.m, mat2sphten.m, sphten2mat.m, spsk2mat.m, zfs2mat.m

Version 2.2, authors: Ilya Kuprov