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+3/4,x+1/4,-z+3/4,+1	{ 2₁₁₀ \| 3/4 1/4 3/4 }
3	-y+1/4,-x+3/4,-z+3/4,+1	{ 2_1-10 \| 1/4 3/4 3/4 }
4	-x,-y,z,+1	{ 2₀₀₁ \| 0 }
5	-y+1/2,x+1/2,-z,+1	{ -4^-₀₀₁ \| 1/2 1/2 0 }
6	y,-x,-z,+1	{ -4⁺₀₀₁ \| 0 }
7	-x+1/4,y+3/4,z+3/4,+1	{ m₁₀₀ \| 1/4 3/4 3/4 }
8	x+3/4,-y+1/4,z+3/4,+1	{ m₀₁₀ \| 3/4 1/4 3/4 }
9	y+1/4,-x+3/4,z+3/4,-1	{ 4'^-₀₀₁ \| 1/4 3/4 3/4 }
10	-y+3/4,x+1/4,z+3/4,-1	{ 4'⁺₀₀₁ \| 3/4 1/4 3/4 }
11	x+1/2,-y+1/2,-z,-1	{ 2'₁₀₀ \| 1/2 1/2 0 }
12	-x,y,-z,-1	{ 2'₀₁₀ \| 0 }
13	-x+3/4,-y+1/4,-z+3/4,-1	{ -1' \| 3/4 1/4 3/4 }
14	-y,-x,z,-1	{ m'₁₁₀ \| 0 }
15	y,x,z,-1	{ m'_1-10 \| 0 }
16	x+1/4,y+3/4,-z+3/4,-1	{ m'₀₀₁ \| 1/4 3/4 3/4 }
(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+3/4,x+3/4,-z+1/4,+1	{ 2₁₁₀ \| 3/4 3/4 1/4 }
19	-y+1/4,-x+1/4,-z+1/4,+1	{ 2_1-10 \| 1/4 1/4 1/4 }
20	-x,-y+1/2,z+1/2,+1	{ 2₀₀₁ \| 0 1/2 1/2 }
21	-y+1/2,x,-z+1/2,+1	{ -4^-₀₀₁ \| 1/2 0 1/2 }
22	y,-x+1/2,-z+1/2,+1	{ -4⁺₀₀₁ \| 0 1/2 1/2 }
23	-x+1/4,y+1/4,z+1/4,+1	{ m₁₀₀ \| 1/4 1/4 1/4 }
24	x+3/4,-y+3/4,z+1/4,+1	{ m₀₁₀ \| 3/4 3/4 1/4 }
25	y+1/4,-x+1/4,z+1/4,-1	{ 4'^-₀₀₁ \| 1/4 1/4 1/4 }
26	-y+3/4,x+3/4,z+1/4,-1	{ 4'⁺₀₀₁ \| 3/4 3/4 1/4 }
27	x+1/2,-y,-z+1/2,-1	{ 2'₁₀₀ \| 1/2 0 1/2 }
28	-x,y+1/2,-z+1/2,-1	{ 2'₀₁₀ \| 0 1/2 1/2 }
29	-x+3/4,-y+3/4,-z+1/4,-1	{ -1' \| 3/4 3/4 1/4 }
30	-y,-x+1/2,z+1/2,-1	{ m'₁₁₀ \| 0 1/2 1/2 }
31	y,x+1/2,z+1/2,-1	{ m'_1-10 \| 0 1/2 1/2 }
32	x+1/4,y+1/4,-z+1/4,-1	{ m'₀₀₁ \| 1/4 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+1/4,x+1/4,-z+1/4,+1	{ 2₁₁₀ \| 1/4 1/4 1/4 }
35	-y+3/4,-x+3/4,-z+1/4,+1	{ 2_1-10 \| 3/4 3/4 1/4 }
36	-x+1/2,-y,z+1/2,+1	{ 2₀₀₁ \| 1/2 0 1/2 }
37	-y,x+1/2,-z+1/2,+1	{ -4^-₀₀₁ \| 0 1/2 1/2 }
38	y+1/2,-x,-z+1/2,+1	{ -4⁺₀₀₁ \| 1/2 0 1/2 }
39	-x+3/4,y+3/4,z+1/4,+1	{ m₁₀₀ \| 3/4 3/4 1/4 }
40	x+1/4,-y+1/4,z+1/4,+1	{ m₀₁₀ \| 1/4 1/4 1/4 }
41	y+3/4,-x+3/4,z+1/4,-1	{ 4'^-₀₀₁ \| 3/4 3/4 1/4 }
42	-y+1/4,x+1/4,z+1/4,-1	{ 4'⁺₀₀₁ \| 1/4 1/4 1/4 }
43	x,-y+1/2,-z+1/2,-1	{ 2'₁₀₀ \| 0 1/2 1/2 }
44	-x+1/2,y,-z+1/2,-1	{ 2'₀₁₀ \| 1/2 0 1/2 }
45	-x+1/4,-y+1/4,-z+1/4,-1	{ -1' \| 1/4 1/4 1/4 }
46	-y+1/2,-x,z+1/2,-1	{ m'₁₁₀ \| 1/2 0 1/2 }
47	y+1/2,x,z+1/2,-1	{ m'_1-10 \| 1/2 0 1/2 }
48	x+3/4,y+3/4,-z+1/4,-1	{ m'₀₀₁ \| 3/4 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+1/4,x+3/4,-z+3/4,+1	{ 2₁₁₀ \| 1/4 3/4 3/4 }
51	-y+3/4,-x+1/4,-z+3/4,+1	{ 2_1-10 \| 3/4 1/4 3/4 }
52	-x+1/2,-y+1/2,z,+1	{ 2₀₀₁ \| 1/2 1/2 0 }
53	-y,x,-z,+1	{ -4^-₀₀₁ \| 0 }
54	y+1/2,-x+1/2,-z,+1	{ -4⁺₀₀₁ \| 1/2 1/2 0 }
55	-x+3/4,y+1/4,z+3/4,+1	{ m₁₀₀ \| 3/4 1/4 3/4 }
56	x+1/4,-y+3/4,z+3/4,+1	{ m₀₁₀ \| 1/4 3/4 3/4 }
57	y+3/4,-x+1/4,z+3/4,-1	{ 4'^-₀₀₁ \| 3/4 1/4 3/4 }
58	-y+1/4,x+3/4,z+3/4,-1	{ 4'⁺₀₀₁ \| 1/4 3/4 3/4 }
59	x,-y,-z,-1	{ 2'₁₀₀ \| 0 }
60	-x+1/2,y+1/2,-z,-1	{ 2'₀₁₀ \| 1/2 1/2 0 }
61	-x+1/4,-y+3/4,-z+3/4,-1	{ -1' \| 1/4 3/4 3/4 }
62	-y+1/2,-x+1/2,z,-1	{ m'₁₁₀ \| 1/2 1/2 0 }
63	y+1/2,x+1/2,z,-1	{ m'_1-10 \| 1/2 1/2 0 }
64	x+3/4,y+1/4,-z+3/4,-1	{ m'₀₀₁ \| 3/4 1/4 3/4 }

[Hide]

N	(x,y,z)	Seitz notation
1	x,y,z,+1	1
2	y,x,-z,+1	2₁₁₀
3	-y,-x,-z,+1	2_1-10
4	-x,-y,z,+1	2₀₀₁
5	-y,x,-z,+1	-4^-₀₀₁
6	y,-x,-z,+1	-4⁺₀₀₁
7	-x,y,z,+1	m₁₀₀
8	x,-y,z,+1	m₀₁₀
9	y,-x,z,-1	4'^-₀₀₁
10	-y,x,z,-1	4'⁺₀₀₁
11	x,-y,-z,-1	2'₁₀₀
12	-x,y,-z,-1	2'₀₁₀
13	-x,-y,-z,-1	-1'
14	-y,-x,z,-1	m'₁₁₀
15	y,x,z,-1	m'_1-10
16	x,y,-z,-1	m'₀₀₁

Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Co1	Co	0.00000	0.00000	0.00000	8	0,0,m_z	0.0	0.0	3.26	3.26
Co2	Co	0.62500	0.62500	0.62500	16	0,0,0	0.0	0.0	0.0	0.00

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
O1	O	0.38810	0.38810	0.38810	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	3.26000
2	0.75000	0.25000	0.75000	0,0,-m_z	0.00000	0.00000	-3.26000
(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	3.26000
4	0.75000	0.75000	0.25000	0,0,-m_z	0.00000	0.00000	-3.26000
(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	3.26000
6	0.25000	0.25000	0.25000	0,0,-m_z	0.00000	0.00000	-3.26000
(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	3.26000
8	0.25000	0.75000	0.75000	0,0,-m_z	0.00000	0.00000	-3.26000

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	0.62500	0.62500	0.62500	0,0,0	0.00000	0.00000	0.00000
2	0.37500	0.87500	0.12500	0,0,0	0.00000	0.00000	0.00000
3	0.87500	0.12500	0.37500	0,0,0	0.00000	0.00000	0.00000
4	0.62500	0.37500	0.37500	0,0,0	0.00000	0.00000	0.00000
(0,1/2,1/2) + set click here to show and hide
5	0.62500	0.12500	0.12500	0,0,0	0.00000	0.00000	0.00000
6	0.37500	0.37500	0.62500	0,0,0	0.00000	0.00000	0.00000
7	0.87500	0.62500	0.87500	0,0,0	0.00000	0.00000	0.00000
8	0.62500	0.87500	0.87500	0,0,0	0.00000	0.00000	0.00000
(1/2,0,1/2) + set click here to show and hide
9	0.12500	0.62500	0.12500	0,0,0	0.00000	0.00000	0.00000
10	0.87500	0.87500	0.62500	0,0,0	0.00000	0.00000	0.00000
11	0.37500	0.12500	0.87500	0,0,0	0.00000	0.00000	0.00000
12	0.12500	0.37500	0.87500	0,0,0	0.00000	0.00000	0.00000
(1/2,1/2,0) + set click here to show and hide
13	0.12500	0.12500	0.62500	0,0,0	0.00000	0.00000	0.00000
14	0.87500	0.37500	0.12500	0,0,0	0.00000	0.00000	0.00000
15	0.37500	0.62500	0.37500	0,0,0	0.00000	0.00000	0.00000
16	0.12500	0.87500	0.37500	0,0,0	0.00000	0.00000	0.00000

Non-magnetic atoms:

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

Atom	x	y	z
1	0.38810	0.38810	0.38810
2	0.13810	0.63810	0.36190
3	0.86190	0.36190	0.36190
4	0.61190	0.61190	0.38810
5	0.11190	0.88810	0.61190
6	0.38810	0.61190	0.61190
7	0.86190	0.13810	0.13810
8	0.13810	0.86190	0.13810
(0,1/2,1/2) + set click here to show and hide
9	0.38810	0.88810	0.88810
10	0.13810	0.13810	0.86190
11	0.86190	0.86190	0.86190
12	0.61190	0.11190	0.88810
13	0.11190	0.38810	0.11190
14	0.38810	0.11190	0.11190
15	0.86190	0.63810	0.63810
16	0.13810	0.36190	0.63810
(1/2,0,1/2) + set click here to show and hide
17	0.88810	0.38810	0.88810
18	0.63810	0.63810	0.86190
19	0.36190	0.36190	0.86190
20	0.11190	0.61190	0.88810
21	0.61190	0.88810	0.11190
22	0.88810	0.61190	0.11190
23	0.36190	0.13810	0.63810
24	0.63810	0.86190	0.63810
(1/2,1/2,0) + set click here to show and hide
25	0.88810	0.88810	0.38810
26	0.63810	0.13810	0.36190
27	0.36190	0.86190	0.36190
28	0.11190	0.11190	0.38810
29	0.61190	0.38810	0.61190
30	0.88810	0.11190	0.61190
31	0.36190	0.63810	0.13810
32	0.63810	0.36190	0.13810

[Hide]

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Co1	Co	0.00000	0.00000	0.00000	8	0,0,m_z	0.0	0.0	3.26	3.26
Co2	Co	0.62500	0.62500	0.62500	16	0,0,0	0.0	0.0	0.0	0.00

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

label	dim. full irrep	dim. small irrep	direction	action	number of modes
mGM5-	3	3	special	primary	1

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

Co₃O₄ (#0.463)

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

Co3O4 (#0.463)

Co₃O₄ (#0.463)