Difference between revisions of "Axrh2mat.m"
(Update function See also links and function index membership) |
(sync with Spinach main f053e432: axiality definition 2*zz-(xx+yy), Mehring order spelt out) |
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(xx+yy+zz)/3 in terms of eigenvaues | (xx+yy+zz)/3 in terms of eigenvaues | ||
| − | ax - interaction axiality, defined as 2*zz-(xx+yy) | + | ax - interaction axiality, defined as 2*zz-(xx+yy) |
| − | in terms of eigenvalues (Mehring order) | + | in terms of eigenvalues (Mehring order, that |
| + | is xx<=yy<=zz) | ||
rh - interaction rhombicity, defined as (yy-xx) in | rh - interaction rhombicity, defined as (yy-xx) in | ||
| − | terms of eigenvalues (Mehring order) | + | terms of eigenvalues (Mehring order, that is |
| + | xx<=yy<=zz) | ||
alp - alpha Euler angle in radians | alp - alpha Euler angle in radians | ||
Latest revision as of 06:32, 30 August 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)
in terms of eigenvalues (Mehring order, that
is xx<=yy<=zz)
rh - interaction rhombicity, defined as (yy-xx) in
terms of eigenvalues (Mehring order, that is
xx<=yy<=zz)
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