axrh2mat.m

From Spinach Documentation Wiki
Revision as of 12:22, 25 April 2026 by Kuprov (talk | contribs) (Normalise sequential blank lines)
Jump to: navigation, search

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

Syntax

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

Parameters

       iso  - isotropic part of the interaction, defined as
              (xx+yy+zz)/3 in terms of eigenvaues

        ax  - interaction axiality, defined as 2*zz-(xx+yy)/2
              in terms of eigenvalues (Mehring order)

        rh  - interaction rhombicity, defined as (yy-xx) in
              terms of eigenvalues (Mehring order)

       alp  - alpha Euler angle in radians

       bet  - beta Euler angle in radians

       gam  - gamma Euler angle in radians

Outputs

    M  - 3x3 matrix

Notes

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

See also

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

Version 2.8, authors: Ilya Kuprov