# mat2axrh.m

From Spinach Documentation Wiki

Computes axiality and rhombicity of a symmetric 3x3 interaction tensor from the corresponding matrix.

## Contents

## 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*