MAGNDATA - Collection of Magnetic Structures

Transformation matrix from the setting of the parent structure (a_p,b_p,c_p) to the working setting (a,b,c):

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Symmetry operations of the magnetic space group in the setting used:

N	(x,y,z)	Seitz notation
1	x,y,z,+1	{ 1 \| 0 }
2	-y,x-y,z,+1	{ 3⁺₀₀₁ \| 0 }
3	-x+y,-x,z,+1	{ 3^-₀₀₁ \| 0 }
4	-x,-y,-z,-1	{ -1' \| 0 }
5	y,-x+y,-z,-1	{ -3'⁺₀₀₁ \| 0 }
6	x-y,x,-z,-1	{ -3'^-₀₀₁ \| 0 }
(1/3,2/3,2/3) + set click here to show and hide
7	x+1/3,y+2/3,z+2/3,+1	{ 1 \| 1/3 2/3 2/3 }
8	-y+1/3,x-y+2/3,z+2/3,+1	{ 3⁺₀₀₁ \| 1/3 2/3 2/3 }
9	-x+y+1/3,-x+2/3,z+2/3,+1	{ 3^-₀₀₁ \| 1/3 2/3 2/3 }
10	-x+1/3,-y+2/3,-z+2/3,-1	{ -1' \| 1/3 2/3 2/3 }
11	y+1/3,-x+y+2/3,-z+2/3,-1	{ -3'⁺₀₀₁ \| 1/3 2/3 2/3 }
12	x-y+1/3,x+2/3,-z+2/3,-1	{ -3'^-₀₀₁ \| 1/3 2/3 2/3 }
(2/3,1/3,1/3) + set click here to show and hide
13	x+2/3,y+1/3,z+1/3,+1	{ 1 \| 2/3 1/3 1/3 }
14	-y+2/3,x-y+1/3,z+1/3,+1	{ 3⁺₀₀₁ \| 2/3 1/3 1/3 }
15	-x+y+2/3,-x+1/3,z+1/3,+1	{ 3^-₀₀₁ \| 2/3 1/3 1/3 }
16	-x+2/3,-y+1/3,-z+1/3,-1	{ -1' \| 2/3 1/3 1/3 }
17	y+2/3,-x+y+1/3,-z+1/3,-1	{ -3'⁺₀₀₁ \| 2/3 1/3 1/3 }
18	x-y+2/3,x+1/3,-z+1/3,-1	{ -3'^-₀₀₁ \| 2/3 1/3 1/3 }

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Transformation matrix from the working setting (a,b,c) to the standard setting of the magnetic space group (a_s,b_s,c_s):

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Symmetry operations of the magnetic point group in the setting used:

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Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Mn1	Mn	0.00000	0.00000	0.36340	6	0,0,m_z	0.0	0.0	4.46(2)	4.46

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Ge1	Ge	0.00000	0.00000	0.15690	6
O1	O	0.32080	0.03780	0.24160	18

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.36340	0,0,m_z	0.00000	0.00000	4.46000
2	0.00000	0.00000	0.63660	0,0,-m_z	0.00000	0.00000	-4.46000
(1/3,2/3,2/3) + set click here to show and hide
3	0.33333	0.66667	0.03007	0,0,m_z	0.00000	0.00000	4.46000
4	0.33333	0.66667	0.30327	0,0,-m_z	0.00000	0.00000	-4.46000
(2/3,1/3,1/3) + set click here to show and hide
5	0.66667	0.33333	0.69673	0,0,m_z	0.00000	0.00000	4.46000
6	0.66667	0.33333	0.96993	0,0,-m_z	0.00000	0.00000	-4.46000

Atom	x	y	z
1	0.00000	0.00000	0.15690
2	0.00000	0.00000	0.84310
(1/3,2/3,2/3) + set click here to show and hide
3	0.33333	0.66667	0.82357
4	0.33333	0.66667	0.50977
(2/3,1/3,1/3) + set click here to show and hide
5	0.66667	0.33333	0.49023
6	0.66667	0.33333	0.17643

Atom	x	y	z
1	0.32080	0.03780	0.24160
2	0.96220	0.28300	0.24160
3	0.71700	0.67920	0.24160
4	0.67920	0.96220	0.75840
5	0.03780	0.71700	0.75840
6	0.28300	0.32080	0.75840
(1/3,2/3,2/3) + set click here to show and hide
7	0.65413	0.70447	0.90827
8	0.29553	0.94967	0.90827
9	0.05033	0.34587	0.90827
10	0.01253	0.62887	0.42507
11	0.37113	0.38367	0.42507
12	0.61633	0.98747	0.42507
(2/3,1/3,1/3) + set click here to show and hide
13	0.98747	0.37113	0.57493
14	0.62887	0.61633	0.57493
15	0.38367	0.01253	0.57493
16	0.34587	0.29553	0.09173
17	0.70447	0.05033	0.09173
18	0.94967	0.65413	0.09173

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Mn1	Mn	0.00000	0.00000	0.36340	6	0,0,m_z	0.0	0.0	4.46(2)	4.46

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.36340	0,0,m_z	0.00000	0.00000	4.46000
2	0.00000	0.00000	0.63660	0,0,-m_z	0.00000	0.00000	-4.46000
(1/3,2/3,2/3) + set click here to show and hide
3	0.33333	0.66667	0.03007	0,0,m_z	0.00000	0.00000	4.46000
4	0.33333	0.66667	0.30327	0,0,-m_z	0.00000	0.00000	-4.46000
(2/3,1/3,1/3) + set click here to show and hide
5	0.66667	0.33333	0.69673	0,0,m_z	0.00000	0.00000	4.46000
6	0.66667	0.33333	0.96993	0,0,-m_z	0.00000	0.00000	-4.46000

label	dim. small irrep	dim. full irrep	action	number of modes
mGM1-	1	1	primary	1

MAGNDATA: A Collection of magnetic structures with portable cif-type files