Anas2mat.m - Revision history

Kuprov: Update function See also links and function index membership

2026-06-06T18:34:21Z

Update function See also links and function index membership

Kuprov: Polish opening prose above Syntax section

2026-06-05T18:15:50Z

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2026-06-05T17:47:18Z

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Kuprov: Created page with "{{DISPLAYTITLE:anas2mat.m}} Converts anisotropy and asymmatry representation of a 3x3 interaction tensor into the corresponding matrix. ==Syntax== M=anas2mat(iso,an,as,..."

2018-01-02T17:49:36Z

Created page with "{{DISPLAYTITLE:anas2mat.m}} Converts anisotropy and asymmatry representation of a 3x3 interaction tensor into the corresponding matrix. ==Syntax== M=anas2mat(iso,an,as,..."

New page

{{DISPLAYTITLE:anas2mat.m}}
Converts anisotropy and asymmatry representation of a 3x3 interaction tensor into the corresponding matrix.

==Syntax==

M=anas2mat(iso,an,as,alp,bet,gam)

==Description==
Isotropic part, anisotropy, and asymmetry 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

an - interaction anisotropy, defined as zz-(xx+yy)/2
in terms of eigenvalues

as - interaction asymmetry, defined as (yy-xx)/(zz-iso)
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 anisotropy, asymmetry, and angles) is ill-defined.

==See also==
[[eeqq2nqi.m]], [[castep2nqi.m]], [[euler2dcm.m]], [[xyz2dd.m]], [[spsk2mat.m]], [[axrh2mat.m]]

''Version 2.1, authors: [[Ilya Kuprov]]''

@@ Line 1: / Line 1: @@
 {{DISPLAYTITLE:anas2mat.m}} __NOTOC__
-Converts anisotropy and asymmatry representation of a 3x3 interaction tensor into the corresponding matrix.
+Converts the isotropic part, anisotropy, asymmetry, and Euler angles of a 3x3 interaction tensor, in the Haeberlen-Mehring convention, into the corresponding matrix; although this representation is still common in the literature, reporting the original matrix is usually clearer.
 ==Syntax==

← Older revision		Revision as of 17:27, 5 June 2026
Line 1:		Line 1:
−	{{DISPLAYTITLE:anas2mat.m}}	+	{{DISPLAYTITLE:anas2mat.m}} __NOTOC__
	Converts anisotropy and asymmatry representation of a 3x3 interaction tensor into the corresponding matrix.		Converts anisotropy and asymmatry representation of a 3x3 interaction tensor into the corresponding matrix.

@@ Line 31: / Line 31: @@
 ==See also==
-[[eeqq2nqi.m]], [[castep2nqi.m]], [[euler2dcm.m]], [[xyz2dd.m]], [[spsk2mat.m]], [[axrh2mat.m]]
+[[eeqq2nqi.m]], [[castep2nqi.m]], [[euler2dcm.m]], [[xyz2dd.m]], [[spsk2mat.m]], [[axrh2mat.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 2.1, authors: [[Ilya Kuprov]]''

@@ Line 9: / Line 9: @@
 Isotropic part, anisotropy, and asymmetry 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==
+==Parameters==
          iso  - isotropic part of the interaction, defined as

@@ Line 19: / Line 19: @@
           as  - interaction asymmetry, defined as (yy-xx)/(zz-iso)
                 in terms of eigenvalues
-−
          alp  - alpha Euler angle in radians