MAGNDATA - Collection of Magnetic Structures

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+1/4,x+3/4,-z+1/2,+1	{ 2₁₁₀ \| 1/4 3/4 1/2 }
3	-y,-x+1/2,-z+1/2,+1	{ 2_1-10 \| 0 1/2 1/2 }
4	-x+1/4,-y+1/4,z,+1	{ 2₀₀₁ \| 1/4 1/4 0 }
5	-x+1/2,-y,-z+1/2,+1	{ -1 \| 1/2 0 1/2 }
6	-y+1/4,-x+1/4,z,+1	{ m₁₁₀ \| 1/4 1/4 0 }
7	y,x,z,+1	{ m_1-10 \| 0 }
8	x+3/4,y+1/4,-z+1/2,+1	{ m₀₀₁ \| 3/4 1/4 1/2 }
9	-y,x+1/4,z+1/4,-1	{ 4'⁺₀₀₁ \| 0 1/4 1/4 }
10	y+1/4,-x,z+1/4,-1	{ 4'^-₀₀₁ \| 1/4 0 1/4 }
11	-x+3/4,y+1/2,-z+1/4,-1	{ 2'₀₁₀ \| 3/4 1/2 1/4 }
12	x,-y+1/4,-z+1/4,-1	{ 2'₁₀₀ \| 0 1/4 1/4 }
13	y+1/2,-x+3/4,-z+1/4,-1	{ -4'⁺₀₀₁ \| 1/2 3/4 1/4 }
14	-y+1/4,x,-z+1/4,-1	{ -4'^-₀₀₁ \| 1/4 0 1/4 }
15	x+3/4,-y+1/2,z+1/4,-1	{ m'₀₁₀ \| 3/4 1/2 1/4 }
16	-x+1/2,y+3/4,z+1/4,-1	{ m'₁₀₀ \| 1/2 3/4 1/4 }
(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	y+1/4,x+1/4,-z,+1	{ 2₁₁₀ \| 1/4 1/4 0 }
19	-y,-x,-z,+1	{ 2_1-10 \| 0 }
20	-x+1/4,-y+3/4,z+1/2,+1	{ 2₀₀₁ \| 1/4 3/4 1/2 }
21	-x+1/2,-y+1/2,-z,+1	{ -1 \| 1/2 1/2 0 }
22	-y+1/4,-x+3/4,z+1/2,+1	{ m₁₁₀ \| 1/4 3/4 1/2 }
23	y,x+1/2,z+1/2,+1	{ m_1-10 \| 0 1/2 1/2 }
24	x+3/4,y+3/4,-z,+1	{ m₀₀₁ \| 3/4 3/4 0 }
25	-y,x+3/4,z+3/4,-1	{ 4'⁺₀₀₁ \| 0 3/4 3/4 }
26	y+1/4,-x+1/2,z+3/4,-1	{ 4'^-₀₀₁ \| 1/4 1/2 3/4 }
27	-x+3/4,y,-z+3/4,-1	{ 2'₀₁₀ \| 3/4 0 3/4 }
28	x,-y+3/4,-z+3/4,-1	{ 2'₁₀₀ \| 0 3/4 3/4 }
29	y+1/2,-x+1/4,-z+3/4,-1	{ -4'⁺₀₀₁ \| 1/2 1/4 3/4 }
30	-y+1/4,x+1/2,-z+3/4,-1	{ -4'^-₀₀₁ \| 1/4 1/2 3/4 }
31	x+3/4,-y,z+3/4,-1	{ m'₀₁₀ \| 3/4 0 3/4 }
32	-x+1/2,y+1/4,z+3/4,-1	{ m'₁₀₀ \| 1/2 1/4 3/4 }
(1/2,0,1/2) + set click here to show and hide
33	x+1/2,y,z+1/2,+1	{ 1 \| 1/2 0 1/2 }
34	y+3/4,x+3/4,-z,+1	{ 2₁₁₀ \| 3/4 3/4 0 }
35	-y+1/2,-x+1/2,-z,+1	{ 2_1-10 \| 1/2 1/2 0 }
36	-x+3/4,-y+1/4,z+1/2,+1	{ 2₀₀₁ \| 3/4 1/4 1/2 }
37	-x,-y,-z,+1	{ -1 \| 0 }
38	-y+3/4,-x+1/4,z+1/2,+1	{ m₁₁₀ \| 3/4 1/4 1/2 }
39	y+1/2,x,z+1/2,+1	{ m_1-10 \| 1/2 0 1/2 }
40	x+1/4,y+1/4,-z,+1	{ m₀₀₁ \| 1/4 1/4 0 }
41	-y+1/2,x+1/4,z+3/4,-1	{ 4'⁺₀₀₁ \| 1/2 1/4 3/4 }
42	y+3/4,-x,z+3/4,-1	{ 4'^-₀₀₁ \| 3/4 0 3/4 }
43	-x+1/4,y+1/2,-z+3/4,-1	{ 2'₀₁₀ \| 1/4 1/2 3/4 }
44	x+1/2,-y+1/4,-z+3/4,-1	{ 2'₁₀₀ \| 1/2 1/4 3/4 }
45	y,-x+3/4,-z+3/4,-1	{ -4'⁺₀₀₁ \| 0 3/4 3/4 }
46	-y+3/4,x,-z+3/4,-1	{ -4'^-₀₀₁ \| 3/4 0 3/4 }
47	x+1/4,-y+1/2,z+3/4,-1	{ m'₀₁₀ \| 1/4 1/2 3/4 }
48	-x,y+3/4,z+3/4,-1	{ m'₁₀₀ \| 0 3/4 3/4 }
(1/2,1/2,0) + set click here to show and hide
49	x+1/2,y+1/2,z,+1	{ 1 \| 1/2 1/2 0 }
50	y+3/4,x+1/4,-z+1/2,+1	{ 2₁₁₀ \| 3/4 1/4 1/2 }
51	-y+1/2,-x,-z+1/2,+1	{ 2_1-10 \| 1/2 0 1/2 }
52	-x+3/4,-y+3/4,z,+1	{ 2₀₀₁ \| 3/4 3/4 0 }
53	-x,-y+1/2,-z+1/2,+1	{ -1 \| 0 1/2 1/2 }
54	-y+3/4,-x+3/4,z,+1	{ m₁₁₀ \| 3/4 3/4 0 }
55	y+1/2,x+1/2,z,+1	{ m_1-10 \| 1/2 1/2 0 }
56	x+1/4,y+3/4,-z+1/2,+1	{ m₀₀₁ \| 1/4 3/4 1/2 }
57	-y+1/2,x+3/4,z+1/4,-1	{ 4'⁺₀₀₁ \| 1/2 3/4 1/4 }
58	y+3/4,-x+1/2,z+1/4,-1	{ 4'^-₀₀₁ \| 3/4 1/2 1/4 }
59	-x+1/4,y,-z+1/4,-1	{ 2'₀₁₀ \| 1/4 0 1/4 }
60	x+1/2,-y+3/4,-z+1/4,-1	{ 2'₁₀₀ \| 1/2 3/4 1/4 }
61	y,-x+1/4,-z+1/4,-1	{ -4'⁺₀₀₁ \| 0 1/4 1/4 }
62	-y+3/4,x+1/2,-z+1/4,-1	{ -4'^-₀₀₁ \| 3/4 1/2 1/4 }
63	x+1/4,-y,z+1/4,-1	{ m'₀₁₀ \| 1/4 0 1/4 }
64	-x,y+1/4,z+1/4,-1	{ m'₁₀₀ \| 0 1/4 1/4 }

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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	-1
3	-x,-y,z,+1	2₀₀₁
4	-y,-x,-z,+1	2_1-10
5	-y,-x,z,+1	m₁₁₀
6	y,x,-z,+1	2₁₁₀
7	y,x,z,+1	m_1-10
8	x,y,-z,+1	m₀₀₁
9	-x,y,-z,-1	2'₀₁₀
10	-x,y,z,-1	m'₁₀₀
11	-y,x,-z,-1	-4'^-₀₀₁
12	-y,x,z,-1	4'⁺₀₀₁
13	y,-x,-z,-1	-4'⁺₀₀₁
14	y,-x,z,-1	4'^-₀₀₁
15	x,-y,-z,-1	2'₁₀₀
16	x,-y,z,-1	m'₀₁₀

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Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Gd1	Gd	0.50000	0.50000	0.50000	16	m_x,-m_x,0	4.3	-4.3	0.0	6.08

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Sn1	Sn	0.00000	0.00000	0.00000	16
O1_1	O	0.33480	0.12500	0.12500	32
O1_2	O	0.12500	0.12500	0.33480	16
O2	O	0.37500	0.37500	0.37500	8

[Show all atoms in unit cell and their moment relations]

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 Gd1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.50000	0.50000	0.50000	m_x,-m_x,0	4.30000	-4.30000	0.00000
2	0.75000	0.25000	0.00000	-m_x,m_x,0	-4.30000	4.30000	0.00000
3	0.50000	0.75000	0.75000	-m_x,-m_x,0	-4.30000	-4.30000	0.00000
4	0.75000	0.50000	0.75000	m_x,m_x,0	4.30000	4.30000	0.00000
(0,1/2,1/2) + set click here to show and hide
5	0.50000	0.00000	0.00000	m_x,-m_x,0	4.30000	-4.30000	0.00000
6	0.75000	0.75000	0.50000	-m_x,m_x,0	-4.30000	4.30000	0.00000
7	0.50000	0.25000	0.25000	-m_x,-m_x,0	-4.30000	-4.30000	0.00000
8	0.75000	0.00000	0.25000	m_x,m_x,0	4.30000	4.30000	0.00000
(1/2,0,1/2) + set click here to show and hide
9	0.00000	0.50000	0.00000	m_x,-m_x,0	4.30000	-4.30000	0.00000
10	0.25000	0.25000	0.50000	-m_x,m_x,0	-4.30000	4.30000	0.00000
11	0.00000	0.75000	0.25000	-m_x,-m_x,0	-4.30000	-4.30000	0.00000
12	0.25000	0.50000	0.25000	m_x,m_x,0	4.30000	4.30000	0.00000
(1/2,1/2,0) + set click here to show and hide
13	0.00000	0.00000	0.50000	m_x,-m_x,0	4.30000	-4.30000	0.00000
14	0.25000	0.75000	0.00000	-m_x,m_x,0	-4.30000	4.30000	0.00000
15	0.00000	0.25000	0.75000	-m_x,-m_x,0	-4.30000	-4.30000	0.00000
16	0.25000	0.00000	0.75000	m_x,m_x,0	4.30000	4.30000	0.00000

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom Sn1:

Atom	x	y	z
1	0.00000	0.00000	0.00000
2	0.25000	0.75000	0.50000
3	0.00000	0.25000	0.25000
4	0.25000	0.00000	0.25000
(0,1/2,1/2) + set click here to show and hide
5	0.00000	0.50000	0.50000
6	0.25000	0.25000	0.00000
7	0.00000	0.75000	0.75000
8	0.25000	0.50000	0.75000
(1/2,0,1/2) + set click here to show and hide
9	0.50000	0.00000	0.50000
10	0.75000	0.75000	0.00000
11	0.50000	0.25000	0.75000
12	0.75000	0.00000	0.75000
(1/2,1/2,0) + set click here to show and hide
13	0.50000	0.50000	0.00000
14	0.75000	0.25000	0.50000
15	0.50000	0.75000	0.25000
16	0.75000	0.50000	0.25000

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

Atom	x	y	z
1	0.33480	0.12500	0.12500
2	0.37500	0.08480	0.37500
3	0.87500	0.16520	0.37500
4	0.91520	0.12500	0.12500
5	0.16520	0.87500	0.37500
6	0.12500	0.91520	0.12500
7	0.12500	0.33480	0.12500
8	0.08480	0.37500	0.37500
(0,1/2,1/2) + set click here to show and hide
9	0.33480	0.62500	0.62500
10	0.37500	0.58480	0.87500
11	0.87500	0.66520	0.87500
12	0.91520	0.62500	0.62500
13	0.16520	0.37500	0.87500
14	0.12500	0.41520	0.62500
15	0.12500	0.83480	0.62500
16	0.08480	0.87500	0.87500
(1/2,0,1/2) + set click here to show and hide
17	0.83480	0.12500	0.62500
18	0.87500	0.08480	0.87500
19	0.37500	0.16520	0.87500
20	0.41520	0.12500	0.62500
21	0.66520	0.87500	0.87500
22	0.62500	0.91520	0.62500
23	0.62500	0.33480	0.62500
24	0.58480	0.37500	0.87500
(1/2,1/2,0) + set click here to show and hide
25	0.83480	0.62500	0.12500
26	0.87500	0.58480	0.37500
27	0.37500	0.66520	0.37500
28	0.41520	0.62500	0.12500
29	0.66520	0.37500	0.37500
30	0.62500	0.41520	0.12500
31	0.62500	0.83480	0.12500
32	0.58480	0.87500	0.37500

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

Atom	x	y	z
1	0.12500	0.12500	0.33480
2	0.37500	0.87500	0.16520
3	0.87500	0.37500	0.58480
4	0.62500	0.62500	0.91520
(0,1/2,1/2) + set click here to show and hide
5	0.12500	0.62500	0.83480
6	0.37500	0.37500	0.66520
7	0.87500	0.87500	0.08480
8	0.62500	0.12500	0.41520
(1/2,0,1/2) + set click here to show and hide
9	0.62500	0.12500	0.83480
10	0.87500	0.87500	0.66520
11	0.37500	0.37500	0.08480
12	0.12500	0.62500	0.41520
(1/2,1/2,0) + set click here to show and hide
13	0.62500	0.62500	0.33480
14	0.87500	0.37500	0.16520
15	0.37500	0.87500	0.58480
16	0.12500	0.12500	0.91520

Set of atoms in the unit cell related by symmetry with the atom O2:

Atom	x	y	z
1	0.37500	0.37500	0.37500
2	0.62500	0.12500	0.12500
(0,1/2,1/2) + set click here to show and hide
3	0.37500	0.87500	0.87500
4	0.62500	0.62500	0.62500
(1/2,0,1/2) + set click here to show and hide
5	0.87500	0.37500	0.87500
6	0.12500	0.12500	0.62500
(1/2,1/2,0) + set click here to show and hide
7	0.87500	0.87500	0.37500
8	0.12500	0.62500	0.12500

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Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Gd1	Gd	0.50000	0.50000	0.50000	16	m_x,-m_x,0	4.3	-4.3	0.0	6.08

[Show all magnetic atoms in unit cell and their moment relations]

label	dim. full irrep	dim. small irrep	direction	action
mGM5+	3	3	special	primary

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

Gd₂Sn₂O₇ (#0.47)

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

Gd2Sn2O7 (#0.47)

Gd₂Sn₂O₇ (#0.47)