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+1/4,z+3/4,+1	{ 4^-₀₀₁ \| 1/4 1/4 3/4 }
3	-y+1/4,x+1/4,z+3/4,+1	{ 4⁺₀₀₁ \| 1/4 1/4 3/4 }
4	-x+1/2,-y+1/2,z,+1	{ 2₀₀₁ \| 1/2 1/2 0 }
5	-x+1/4,-y+3/4,-z+1/4,+1	{ -1 \| 1/4 3/4 1/4 }
6	-y,x+1/2,-z+1/2,+1	{ -4^-₀₀₁ \| 0 1/2 1/2 }
7	y,-x+1/2,-z+1/2,+1	{ -4⁺₀₀₁ \| 0 1/2 1/2 }
8	x+1/4,y+3/4,-z+1/4,+1	{ m₀₀₁ \| 1/4 3/4 1/4 }
9	y+3/4,x+1/4,-z+1/4,-1	{ 2'₁₁₀ \| 3/4 1/4 1/4 }
10	-y+3/4,-x+1/4,-z+1/4,-1	{ 2'_1-10 \| 3/4 1/4 1/4 }
11	x+1/2,-y,-z+1/2,-1	{ 2'₁₀₀ \| 1/2 0 1/2 }
12	-x+1/2,y,-z+1/2,-1	{ 2'₀₁₀ \| 1/2 0 1/2 }
13	-y+1/2,-x+1/2,z,-1	{ m'₁₁₀ \| 1/2 1/2 0 }
14	y,x,z,-1	{ m'_1-10 \| 0 }
15	-x+3/4,y+3/4,z+3/4,-1	{ m'₁₀₀ \| 3/4 3/4 3/4 }
16	x+3/4,-y+3/4,z+3/4,-1	{ m'₀₁₀ \| 3/4 3/4 3/4 }
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17	x,y+1/2,z+1/2,+1	{ 1 \| 0 1/2 1/2 }
18	y+1/4,-x+3/4,z+1/4,+1	{ 4^-₀₀₁ \| 1/4 3/4 1/4 }
19	-y+1/4,x+3/4,z+1/4,+1	{ 4⁺₀₀₁ \| 1/4 3/4 1/4 }
20	-x+1/2,-y,z+1/2,+1	{ 2₀₀₁ \| 1/2 0 1/2 }
21	-x+1/4,-y+1/4,-z+3/4,+1	{ -1 \| 1/4 1/4 3/4 }
22	-y,x,-z,+1	{ -4^-₀₀₁ \| 0 }
23	y,-x,-z,+1	{ -4⁺₀₀₁ \| 0 }
24	x+1/4,y+1/4,-z+3/4,+1	{ m₀₀₁ \| 1/4 1/4 3/4 }
25	y+3/4,x+3/4,-z+3/4,-1	{ 2'₁₁₀ \| 3/4 3/4 3/4 }
26	-y+3/4,-x+3/4,-z+3/4,-1	{ 2'_1-10 \| 3/4 3/4 3/4 }
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	{ 2'₀₁₀ \| 1/2 1/2 0 }
29	-y+1/2,-x,z+1/2,-1	{ m'₁₁₀ \| 1/2 0 1/2 }
30	y,x+1/2,z+1/2,-1	{ m'_1-10 \| 0 1/2 1/2 }
31	-x+3/4,y+1/4,z+1/4,-1	{ m'₁₀₀ \| 3/4 1/4 1/4 }
32	x+3/4,-y+1/4,z+1/4,-1	{ m'₀₁₀ \| 3/4 1/4 1/4 }
(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+1/4,z+1/4,+1	{ 4^-₀₀₁ \| 3/4 1/4 1/4 }
35	-y+3/4,x+1/4,z+1/4,+1	{ 4⁺₀₀₁ \| 3/4 1/4 1/4 }
36	-x,-y+1/2,z+1/2,+1	{ 2₀₀₁ \| 0 1/2 1/2 }
37	-x+3/4,-y+3/4,-z+3/4,+1	{ -1 \| 3/4 3/4 3/4 }
38	-y+1/2,x+1/2,-z,+1	{ -4^-₀₀₁ \| 1/2 1/2 0 }
39	y+1/2,-x+1/2,-z,+1	{ -4⁺₀₀₁ \| 1/2 1/2 0 }
40	x+3/4,y+3/4,-z+3/4,+1	{ m₀₀₁ \| 3/4 3/4 3/4 }
41	y+1/4,x+1/4,-z+3/4,-1	{ 2'₁₁₀ \| 1/4 1/4 3/4 }
42	-y+1/4,-x+1/4,-z+3/4,-1	{ 2'_1-10 \| 1/4 1/4 3/4 }
43	x,-y,-z,-1	{ 2'₁₀₀ \| 0 }
44	-x,y,-z,-1	{ 2'₀₁₀ \| 0 }
45	-y,-x+1/2,z+1/2,-1	{ m'₁₁₀ \| 0 1/2 1/2 }
46	y+1/2,x,z+1/2,-1	{ m'_1-10 \| 1/2 0 1/2 }
47	-x+1/4,y+3/4,z+1/4,-1	{ m'₁₀₀ \| 1/4 3/4 1/4 }
48	x+1/4,-y+3/4,z+1/4,-1	{ m'₀₁₀ \| 1/4 3/4 1/4 }
(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+3/4,z+3/4,+1	{ 4^-₀₀₁ \| 3/4 3/4 3/4 }
51	-y+3/4,x+3/4,z+3/4,+1	{ 4⁺₀₀₁ \| 3/4 3/4 3/4 }
52	-x,-y,z,+1	{ 2₀₀₁ \| 0 }
53	-x+3/4,-y+1/4,-z+1/4,+1	{ -1 \| 3/4 1/4 1/4 }
54	-y+1/2,x,-z+1/2,+1	{ -4^-₀₀₁ \| 1/2 0 1/2 }
55	y+1/2,-x,-z+1/2,+1	{ -4⁺₀₀₁ \| 1/2 0 1/2 }
56	x+3/4,y+1/4,-z+1/4,+1	{ m₀₀₁ \| 3/4 1/4 1/4 }
57	y+1/4,x+3/4,-z+1/4,-1	{ 2'₁₁₀ \| 1/4 3/4 1/4 }
58	-y+1/4,-x+3/4,-z+1/4,-1	{ 2'_1-10 \| 1/4 3/4 1/4 }
59	x,-y+1/2,-z+1/2,-1	{ 2'₁₀₀ \| 0 1/2 1/2 }
60	-x,y+1/2,-z+1/2,-1	{ 2'₀₁₀ \| 0 1/2 1/2 }
61	-y,-x,z,-1	{ m'₁₁₀ \| 0 }
62	y+1/2,x+1/2,z,-1	{ m'_1-10 \| 1/2 1/2 0 }
63	-x+1/4,y+1/4,z+3/4,-1	{ m'₁₀₀ \| 1/4 1/4 3/4 }
64	x+1/4,-y+1/4,z+3/4,-1	{ m'₀₁₀ \| 1/4 1/4 3/4 }

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N	(x,y,z)	Seitz notation
1	x,y,z,+1	1
2	y,-x,z,+1	4^-₀₀₁
3	-y,x,z,+1	4⁺₀₀₁
4	-x,-y,z,+1	2₀₀₁
5	-x,-y,-z,+1	-1
6	-y,x,-z,+1	-4^-₀₀₁
7	y,-x,-z,+1	-4⁺₀₀₁
8	x,y,-z,+1	m₀₀₁
9	y,x,-z,-1	2'₁₁₀
10	-y,-x,-z,-1	2'_1-10
11	x,-y,-z,-1	2'₁₀₀
12	-x,y,-z,-1	2'₀₁₀
13	-y,-x,z,-1	m'₁₁₀
14	y,x,z,-1	m'_1-10
15	-x,y,z,-1	m'₁₀₀
16	x,-y,z,-1	m'₀₁₀

Magnetic atoms:

Label	Atom type	x	y	z	Occupancy	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Co1	Co	0.00000	0.00000	0.00000	1	8	0,0,m_z	0.0	0.0	-1.94(6)	1.94
Co2	Co	0.37500	0.37500	0.37500	0.75	16	m_x,m_x,m_z	0.0	0.0	2.39(7)	2.39

Non-magnetic atoms:

Label	Atom type	x	y	z	Occupancy	Multiplicity
Te1	Te	0.37500	0.37500	0.37500	0.25	16
O1	O	0.13495	0.13495	0.13495	1	32

[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 Co1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.00000	0,0,m_z	0.00000	0.00000	-1.94000
2	0.25000	0.25000	0.75000	0,0,m_z	0.00000	0.00000	-1.94000
(0,1/2,1/2) + set click here to show and hide
3	0.00000	0.50000	0.50000	0,0,m_z	0.00000	0.00000	-1.94000
4	0.25000	0.75000	0.25000	0,0,m_z	0.00000	0.00000	-1.94000
(1/2,0,1/2) + set click here to show and hide
5	0.50000	0.00000	0.50000	0,0,m_z	0.00000	0.00000	-1.94000
6	0.75000	0.25000	0.25000	0,0,m_z	0.00000	0.00000	-1.94000
(1/2,1/2,0) + set click here to show and hide
7	0.50000	0.50000	0.00000	0,0,m_z	0.00000	0.00000	-1.94000
8	0.75000	0.75000	0.75000	0,0,m_z	0.00000	0.00000	-1.94000

Set of atoms in the unit cell related by symmetry with the magnetic atom Co2:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.37500	0.37500	0.37500	m_x,m_x,m_z	0.00000	0.00000	2.39000
2	0.62500	0.87500	0.12500	m_x,-m_x,m_z	0.00000	0.00000	2.39000
3	0.87500	0.62500	0.12500	-m_x,m_x,m_z	0.00000	0.00000	2.39000
4	0.12500	0.12500	0.37500	-m_x,-m_x,m_z	0.00000	0.00000	2.39000
(0,1/2,1/2) + set click here to show and hide
5	0.37500	0.87500	0.87500	m_x,m_x,m_z	0.00000	0.00000	2.39000
6	0.62500	0.37500	0.62500	m_x,-m_x,m_z	0.00000	0.00000	2.39000
7	0.87500	0.12500	0.62500	-m_x,m_x,m_z	0.00000	0.00000	2.39000
8	0.12500	0.62500	0.87500	-m_x,-m_x,m_z	0.00000	0.00000	2.39000
(1/2,0,1/2) + set click here to show and hide
9	0.87500	0.37500	0.87500	m_x,m_x,m_z	0.00000	0.00000	2.39000
10	0.12500	0.87500	0.62500	m_x,-m_x,m_z	0.00000	0.00000	2.39000
11	0.37500	0.62500	0.62500	-m_x,m_x,m_z	0.00000	0.00000	2.39000
12	0.62500	0.12500	0.87500	-m_x,-m_x,m_z	0.00000	0.00000	2.39000
(1/2,1/2,0) + set click here to show and hide
13	0.87500	0.87500	0.37500	m_x,m_x,m_z	0.00000	0.00000	2.39000
14	0.12500	0.37500	0.12500	m_x,-m_x,m_z	0.00000	0.00000	2.39000
15	0.37500	0.12500	0.12500	-m_x,m_x,m_z	0.00000	0.00000	2.39000
16	0.62500	0.62500	0.37500	-m_x,-m_x,m_z	0.00000	0.00000	2.39000

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom Te1:

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

Set of atoms in the unit cell related by symmetry with the atom O1:

Atom	x	y	z
1	0.13495	0.13495	0.13495
2	0.38495	0.11505	0.88495
3	0.11505	0.38495	0.88495
4	0.36505	0.36505	0.13495
5	0.11505	0.61505	0.11505
6	0.86505	0.63495	0.36505
7	0.13495	0.36505	0.36505
8	0.38495	0.88495	0.11505
(0,1/2,1/2) + set click here to show and hide
9	0.13495	0.63495	0.63495
10	0.38495	0.61505	0.38495
11	0.11505	0.88495	0.38495
12	0.36505	0.86505	0.63495
13	0.11505	0.11505	0.61505
14	0.86505	0.13495	0.86505
15	0.13495	0.86505	0.86505
16	0.38495	0.38495	0.61505
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17	0.63495	0.13495	0.63495
18	0.88495	0.11505	0.38495
19	0.61505	0.38495	0.38495
20	0.86505	0.36505	0.63495
21	0.61505	0.61505	0.61505
22	0.36505	0.63495	0.86505
23	0.63495	0.36505	0.86505
24	0.88495	0.88495	0.61505
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25	0.63495	0.63495	0.13495
26	0.88495	0.61505	0.88495
27	0.61505	0.88495	0.88495
28	0.86505	0.86505	0.13495
29	0.61505	0.11505	0.11505
30	0.36505	0.13495	0.36505
31	0.63495	0.86505	0.36505
32	0.88495	0.38495	0.11505

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Label	Atom type	x	y	z	Occupancy	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Co1	Co	0.00000	0.00000	0.00000	1	8	0,0,m_z	0.0	0.0	-1.94(6)	1.94
Co2	Co	0.37500	0.37500	0.37500	0.75	16	m_x,m_x,m_z	0.0	0.0	2.39(7)	2.39

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

label	dim. full irrep	dim. small irrep	direction	action	number of modes
mGM4+	3	3	special	primary	3

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

Ce₅TeO₈ (#0.725)

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

Ce5TeO8 (#0.725)

Ce₅TeO₈ (#0.725)