# axrh2mat.m

From Spinach Documentation Wiki

Converts axiality and rhombicity representation of a 3x3 interaction tensor into the corresponding matrix.

## Syntax

M=axrh2mat(iso,ax,rh,alp,bet,gam)

## Description

Isotropic part, axiality, and rhombicity are often seen in the literature. It is not a good way of reporting an interaction tensor (the original matrix is best), but it is still being used.

## Arguments

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 alp - alpha Euler angle in radians bet - beta Euler angle in radians gam - gamma Euler angle in radians

## Outputs

M - 3x3 matrix

## Notes

The reverse transformation (from matrix into axiality, rhombicity, and angles) is ill-defined.

## See also

eeqq2nqi.m, castep2nqi.m, euler2dcm.m, xyz2dd.m, spsk2mat.m

*Version 2.1, authors: Ilya Kuprov*