Tsm2param.m - Revision history

Kuprov: Update function See also links and function index membership

2026-06-06T18:42:24Z

Update function See also links and function index membership

Kuprov: Rename Arguments section heading to Parameters

2026-06-05T17:52:58Z

Rename Arguments section heading to Parameters

Kuprov: Spot-edit Spinach function page first-line NOTOC and template fields

2026-06-05T17:30:02Z

Spot-edit Spinach function page first-line NOTOC and template fields

Kuprov: Normalise sequential blank lines

2026-04-25T11:30:58Z

Normalise sequential blank lines

Admin: /* Outputs */

2018-08-06T12:32:21Z

‎Outputs

Admin: Created page with "{{DISPLAYTITLE:tsm2param.m}} Attempts to convert a traceless symmetric 3x3 interaction matrix into axiality, rhombicity and three Euler angles. The transformation is unstable..."

2018-08-06T12:32:10Z

Created page with "{{DISPLAYTITLE:tsm2param.m}} Attempts to convert a traceless symmetric 3x3 interaction matrix into axiality, rhombicity and three Euler angles. The transformation is unstable..."

New page

{{DISPLAYTITLE:tsm2param.m}}
Attempts to convert a traceless symmetric 3x3 interaction matrix into axiality, rhombicity and three Euler angles. The transformation is unstable and should be avoided if at all possible: it is always best to just publish the 3x3 matrix as recommended by IUPAC.

==Syntax==

[ax,rh,angles]=tsm2param(M)

==Arguments==

M - 3x3 matrix or its five independent elements in the
order of [Mxx, Mxy, Mxz, Myy, Myz]

==Outputs==

ax - axiality, Haeberlen order of eigenvalues

rh - rhombicity, Haeberlen order of eigenvalues

angles - Euler angles (one of the eight equivalent
sets), radians

==Notes==
Haeberlen convention has Z as the maximum absolute eigenvalue, and X as the minimum absolute eigenvalue.

==See also==
[[mat2axrh.m]], [[axrh2mat.m]], [[anas2mat.m]], [[mat2sphten.m]], [[sphten2mat.m]], [[spsk2mat.m]], [[zfs2mat.m]]

''Version 2.2, authors: [[Ilya Kuprov]]''

← Older revision		Revision as of 17:30, 5 June 2026
Line 1:		Line 1:
−	{{DISPLAYTITLE:tsm2param.m}}	+	{{DISPLAYTITLE:tsm2param.m}} __NOTOC__
	Attempts to convert a traceless symmetric 3x3 interaction matrix into axiality, rhombicity and three Euler angles. The transformation is unstable and should be avoided if at all possible: it is always best to just publish the 3x3 matrix as recommended by IUPAC.		Attempts to convert a traceless symmetric 3x3 interaction matrix into axiality, rhombicity and three Euler angles. The transformation is unstable and should be avoided if at all possible: it is always best to just publish the 3x3 matrix as recommended by IUPAC.

@@ Line 24: / Line 24: @@
 ==See also==
-[[mat2axrh.m]], [[axrh2mat.m]], [[anas2mat.m]], [[mat2sphten.m]], [[sphten2mat.m]], [[spsk2mat.m]], [[zfs2mat.m]]
+[[mat2axrh.m]], [[axrh2mat.m]], [[anas2mat.m]], [[mat2sphten.m]], [[sphten2mat.m]], [[spsk2mat.m]], [[zfs2mat.m]], [[ang2cgsppm.m]], [[castep2nqi.m]], [[cgsppm2ang.m]], [[conmat.m]], [[dictum.m]], [[dihedral.m]], [[eeqq2nqi.m]], [[frac2cart.m]], [[g2freq.m]], [[gauss2mhz.m]], [[ham2nqi.m]], [[hartree2joule.m]], [[hz2icm.m]], [[hz2ppm.m]], [[ias2mat.m]], [[mat2ias.m]], [[mhz2gauss.m]], [[mt2hz.m]], [[offsetof.m]], [[ppm2hz.m]], [[xyz2dd.m]], [[Kernel_utilities]]
 ''Version 2.2, authors: [[Ilya Kuprov]]''

@@ Line 6: / Line 6: @@
       [ax,rh,angles]=tsm2param(M)
-==Arguments==
+==Parameters==
      M    -  3x3 matrix or its five independent elements in the

@@ Line 14: / Line 14: @@
      ax     -  axiality, Haeberlen order of eigenvalues
-−
      rh     -  rhombicity, Haeberlen order of eigenvalues
-−
      angles -  Euler angles (one of the eight equivalent
                sets), radians