Difference between revisions of "Axrh2mat.m"

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==See also==
 
==See also==
[[eeqq2nqi.m]], [[castep2nqi.m]], [[euler2dcm.m]], [[xyz2dd.m]], [[spsk2mat.m]]
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[[eeqq2nqi.m]], [[castep2nqi.m]], [[euler2dcm.m]], [[xyz2dd.m]], [[spsk2mat.m]], [[anas2mat.m]], [[ang2cgsppm.m]], [[cgsppm2ang.m]], [[conmat.m]], [[dictum.m]], [[dihedral.m]], [[frac2cart.m]], [[g2freq.m]], [[gauss2mhz.m]], [[ham2nqi.m]], [[hartree2joule.m]], [[hz2icm.m]], [[hz2ppm.m]], [[ias2mat.m]], [[mat2axrh.m]], [[mat2ias.m]], [[mhz2gauss.m]], [[mt2hz.m]], [[offsetof.m]], [[ppm2hz.m]], [[tsm2param.m]], [[zfs2mat.m]], [[Kernel_utilities]]
  
 
''Version 2.8, authors: [[Ilya Kuprov]]''
 
''Version 2.8, authors: [[Ilya Kuprov]]''

Latest revision as of 19:34, 6 June 2026

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, anas2mat.m, ang2cgsppm.m, cgsppm2ang.m, conmat.m, dictum.m, dihedral.m, frac2cart.m, g2freq.m, gauss2mhz.m, ham2nqi.m, hartree2joule.m, hz2icm.m, hz2ppm.m, ias2mat.m, mat2axrh.m, mat2ias.m, mhz2gauss.m, mt2hz.m, offsetof.m, ppm2hz.m, tsm2param.m, zfs2mat.m, Kernel_utilities

Version 2.8, authors: Ilya Kuprov