Difference between revisions of "Axrh2mat.m"
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| − | {{DISPLAYTITLE:axrh2mat.m}} | + | {{DISPLAYTITLE:axrh2mat.m}} __NOTOC__ |
| − | 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. 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== | ==Syntax== | ||
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M=axrh2mat(iso,ax,rh,alp,bet,gam) | M=axrh2mat(iso,ax,rh,alp,bet,gam) | ||
| − | == | + | ==Parameters== |
| − | |||
| − | |||
| − | |||
iso - isotropic part of the interaction, defined as | iso - isotropic part of the interaction, defined as | ||
(xx+yy+zz)/3 in terms of eigenvaues | (xx+yy+zz)/3 in terms of eigenvaues | ||
| − | ax - interaction axiality, defined as zz-(xx+yy)/2 | + | ax - interaction axiality, defined as 2*zz-(xx+yy)/2 |
| − | in terms of eigenvalues | + | in terms of eigenvalues (Mehring order) |
| − | rh - interaction rhombicity, defined as (xx | + | rh - interaction rhombicity, defined as (yy-xx) in |
| − | terms of eigenvalues | + | terms of eigenvalues (Mehring order) |
alp - alpha Euler angle in radians | alp - alpha Euler angle in radians | ||
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==Notes== | ==Notes== | ||
| − | The | + | The inverse transformation (from matrix into axiality, rhombicity, and angles) is ill-defined. |
==See also== | ==See also== | ||
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| − | ''Version 2. | + | ''Version 2.8, authors: [[Ilya Kuprov]]'' |
Revision as of 14:30, 7 December 2023
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
