Difference between revisions of "Axrh2mat.m"
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Converts axiality and rhombicity representation of a 3x3 interaction tensor into the corresponding matrix. | Converts axiality and rhombicity representation of a 3x3 interaction tensor into the corresponding matrix. | ||
Revision as of 16:11, 1 January 2018
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
Version 2.1, authors: Ilya Kuprov