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	-x,y,-z,+1	{ 2₀₁₀ \| 0 }
3	x,-y+1/2,-z+1/2,+1	{ 2₁₀₀ \| 0 1/2 1/2 }
4	-x,-y+1/2,z+1/2,+1	{ 2₀₀₁ \| 0 1/2 1/2 }
5	-x,-y,-z,+1	{ -1 \| 0 }
6	x,-y,z,+1	{ m₀₁₀ \| 0 }
7	-x,y+1/2,z+1/2,+1	{ m₁₀₀ \| 0 1/2 1/2 }
8	x,y+1/2,-z+1/2,+1	{ m₀₀₁ \| 0 1/2 1/2 }
(1/2,1/2,0) + set click here to show and hide
9	x+1/2,y+1/2,z,+1	{ 1 \| 1/2 1/2 0 }
10	-x+1/2,y+1/2,-z,+1	{ 2₀₁₀ \| 1/2 1/2 0 }
11	x+1/2,-y,-z+1/2,+1	{ 2₁₀₀ \| 1/2 0 1/2 }
12	-x+1/2,-y,z+1/2,+1	{ 2₀₀₁ \| 1/2 0 1/2 }
13	-x+1/2,-y+1/2,-z,+1	{ -1 \| 1/2 1/2 0 }
14	x+1/2,-y+1/2,z,+1	{ m₀₁₀ \| 1/2 1/2 0 }
15	-x+1/2,y,z+1/2,+1	{ m₁₀₀ \| 1/2 0 1/2 }
16	x+1/2,y,-z+1/2,+1	{ m₀₀₁ \| 1/2 0 1/2 }
(0,1/2,1/2)' + set click here to show and hide
17	x,y+1/2,z+1/2,-1	{ 1' \| 0 1/2 1/2 }
18	-x,y+1/2,-z+1/2,-1	{ 2'₀₁₀ \| 0 1/2 1/2 }
19	x,-y,-z,-1	{ 2'₁₀₀ \| 0 }
20	-x,-y,z,-1	{ 2'₀₀₁ \| 0 }
21	-x,-y+1/2,-z+1/2,-1	{ -1' \| 0 1/2 1/2 }
22	x,-y+1/2,z+1/2,-1	{ m'₀₁₀ \| 0 1/2 1/2 }
23	-x,y,z,-1	{ m'₁₀₀ \| 0 }
24	x,y,-z,-1	{ m'₀₀₁ \| 0 }
(1/2,0,1/2)' + set click here to show and hide
25	x+1/2,y,z+1/2,-1	{ 1' \| 1/2 0 1/2 }
26	-x+1/2,y,-z+1/2,-1	{ 2'₀₁₀ \| 1/2 0 1/2 }
27	x+1/2,-y+1/2,-z,-1	{ 2'₁₀₀ \| 1/2 1/2 0 }
28	-x+1/2,-y+1/2,z,-1	{ 2'₀₀₁ \| 1/2 1/2 0 }
29	-x+1/2,-y,-z+1/2,-1	{ -1' \| 1/2 0 1/2 }
30	x+1/2,-y,z+1/2,-1	{ m'₀₁₀ \| 1/2 0 1/2 }
31	-x+1/2,y+1/2,z,-1	{ m'₁₀₀ \| 1/2 1/2 0 }
32	x+1/2,y+1/2,-z,-1	{ m'₀₀₁ \| 1/2 1/2 0 }

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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:

N	(x,y,z)	Seitz notation
1	x,y,z,+1	1
2	-x,y,-z,+1	2₀₁₀
3	x,-y,-z,+1	2₁₀₀
4	-x,-y,z,+1	2₀₀₁
5	-x,-y,-z,+1	-1
6	x,-y,z,+1	m₀₁₀
7	-x,y,z,+1	m₁₀₀
8	x,y,-z,+1	m₀₀₁
1' + set click here to show and hide
9	x,y,z,-1	1'
10	-x,y,-z,-1	2'₀₁₀
11	x,-y,-z,-1	2'₁₀₀
12	-x,-y,z,-1	2'₀₀₁
13	-x,-y,-z,-1	-1'
14	x,-y,z,-1	m'₀₁₀
15	-x,y,z,-1	m'₁₀₀
16	x,y,-z,-1	m'₀₀₁

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Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Ru1	Ru	0.00000	0.00000	0.00000	4	0,m_y,0	0.0	4.5(2)	0.0	4.50

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Ba1	Ba	0.25000	0.25000	0.25000	8
Y1	Y	0.50000	0.50000	0.50000	4
O1_1	O	0.76520	0.00000	0.00000	8
O1_2	O	0.00000	0.76520	0.00000	8
O1_3	O	0.00000	0.00000	0.76520	8

Positions and magnetic moments of all atoms in unit cell, with magnetic moment relations explicitly given:

Magnetic atoms:

Set of atoms in the unit cell related by symmetry with the magnetic atom Ru1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.00000	0,m_y,0	0.00000	4.50000	0.00000
(1/2,1/2,0) + set click here to show and hide
2	0.50000	0.50000	0.00000	0,m_y,0	0.00000	4.50000	0.00000
(0,1/2,1/2)' + set click here to show and hide
3	0.00000	0.50000	0.50000	0,-m_y,0	0.00000	-4.50000	0.00000
(1/2,0,1/2)' + set click here to show and hide
4	0.50000	0.00000	0.50000	0,-m_y,0	0.00000	-4.50000	0.00000

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom Ba1:

Atom	x	y	z
1	0.25000	0.25000	0.25000
2	0.75000	0.75000	0.75000
(1/2,1/2,0) + set click here to show and hide
3	0.75000	0.75000	0.25000
4	0.25000	0.25000	0.75000
(0,1/2,1/2)' + set click here to show and hide
5	0.25000	0.75000	0.75000
6	0.75000	0.25000	0.25000
(1/2,0,1/2)' + set click here to show and hide
7	0.75000	0.25000	0.75000
8	0.25000	0.75000	0.25000

Set of atoms in the unit cell related by symmetry with the atom Y1:

Atom	x	y	z
1	0.50000	0.50000	0.50000
(1/2,1/2,0) + set click here to show and hide
2	0.00000	0.00000	0.50000
(0,1/2,1/2)' + set click here to show and hide
3	0.50000	0.00000	0.00000
(1/2,0,1/2)' + set click here to show and hide
4	0.00000	0.50000	0.00000

Set of atoms in the unit cell related by symmetry with the atom O1_1:

Atom	x	y	z
1	0.76520	0.00000	0.00000
2	0.23480	0.00000	0.00000
(1/2,1/2,0) + set click here to show and hide
3	0.26520	0.50000	0.00000
4	0.73480	0.50000	0.00000
(0,1/2,1/2)' + set click here to show and hide
5	0.76520	0.50000	0.50000
6	0.23480	0.50000	0.50000
(1/2,0,1/2)' + set click here to show and hide
7	0.26520	0.00000	0.50000
8	0.73480	0.00000	0.50000

Set of atoms in the unit cell related by symmetry with the atom O1_2:

Atom	x	y	z
1	0.00000	0.76520	0.00000
2	0.00000	0.73480	0.50000
(1/2,1/2,0) + set click here to show and hide
3	0.50000	0.26520	0.00000
4	0.50000	0.23480	0.50000
(0,1/2,1/2)' + set click here to show and hide
5	0.00000	0.26520	0.50000
6	0.00000	0.23480	0.00000
(1/2,0,1/2)' + set click here to show and hide
7	0.50000	0.76520	0.50000
8	0.50000	0.73480	0.00000

Set of atoms in the unit cell related by symmetry with the atom O1_3:

Atom	x	y	z
1	0.00000	0.00000	0.76520
2	0.00000	0.00000	0.23480
(1/2,1/2,0) + set click here to show and hide
3	0.50000	0.50000	0.76520
4	0.50000	0.50000	0.23480
(0,1/2,1/2)' + set click here to show and hide
5	0.00000	0.50000	0.26520
6	0.00000	0.50000	0.73480
(1/2,0,1/2)' + set click here to show and hide
7	0.50000	0.00000	0.26520
8	0.50000	0.00000	0.73480

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Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Ru1	Ru	0.00000	0.00000	0.00000	4	0,m_y,0	0.0	4.5(2)	0.0	4.50

label	dim. full irrep	dim. small irrep	direction	action	number of modes
mX5+	6	2	special	primary	1

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