Difference between revisions of "Mat2axrh.m"
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Computes axiality and rhombicity of a symmetric 3x3 interaction tensor from the corresponding matrix. | Computes axiality and rhombicity of a symmetric 3x3 interaction tensor from the corresponding matrix. | ||
Revision as of 18:28, 5 June 2026
Computes axiality and rhombicity of a symmetric 3x3 interaction tensor from the corresponding matrix.
Syntax
[iso,ax,rh]=mat2axrh(M)
Arguments
M - a real symmetric 3x3 matrix
Outputs
iso - isotropic part of the interaction, defined as
(xx+yy+zz)/3 in terms of eigenvaues
ax - interaction axiality, defined as zz-(xx+yy)/2
in terms of eigenvalues
rh - interaction rhombicity, defined as (xx-yy) in
terms of eigenvalues
Notes
1. Eigenvalues [xx yy zz] are sorted in Mehring order, that is xx<=yy<=zz.
2. Euler angles are not returned because the transformation in question is ill-defined.
See also
axrh2mat.m, spsk2mat.m, anas2mat.m, mat2sphten.m, sphten2mat.m
Version 2.1, authors: Ilya Kuprov
