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	y+1/2,-x+3/4,-z+1/4,+1	{ -4⁺₀₀₁ \| 1/2 3/4 1/4 }
6	-y+1/4,x,-z+1/4,+1	{ -4^-₀₀₁ \| 1/4 0 1/4 }
7	x+3/4,-y+1/2,z+1/4,+1	{ m₀₁₀ \| 3/4 1/2 1/4 }
8	-x+1/2,y+3/4,z+1/4,+1	{ m₁₀₀ \| 1/2 3/4 1/4 }
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	-x+1/2,-y,-z+1/2,-1	{ -1' \| 1/2 0 1/2 }
14	-y+1/4,-x+1/4,z,-1	{ m'₁₁₀ \| 1/4 1/4 0 }
15	y,x,z,-1	{ m'_1-10 \| 0 }
16	x+3/4,y+1/4,-z+1/2,-1	{ m'₀₀₁ \| 3/4 1/4 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	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	y+1/2,-x+1/4,-z+3/4,+1	{ -4⁺₀₀₁ \| 1/2 1/4 3/4 }
22	-y+1/4,x+1/2,-z+3/4,+1	{ -4^-₀₀₁ \| 1/4 1/2 3/4 }
23	x+3/4,-y,z+3/4,+1	{ m₀₁₀ \| 3/4 0 3/4 }
24	-x+1/2,y+1/4,z+3/4,+1	{ m₁₀₀ \| 1/2 1/4 3/4 }
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	-x+1/2,-y+1/2,-z,-1	{ -1' \| 1/2 1/2 0 }
30	-y+1/4,-x+3/4,z+1/2,-1	{ m'₁₁₀ \| 1/4 3/4 1/2 }
31	y,x+1/2,z+1/2,-1	{ m'_1-10 \| 0 1/2 1/2 }
32	x+3/4,y+3/4,-z,-1	{ m'₀₀₁ \| 3/4 3/4 0 }
(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	y,-x+3/4,-z+3/4,+1	{ -4⁺₀₀₁ \| 0 3/4 3/4 }
38	-y+3/4,x,-z+3/4,+1	{ -4^-₀₀₁ \| 3/4 0 3/4 }
39	x+1/4,-y+1/2,z+3/4,+1	{ m₀₁₀ \| 1/4 1/2 3/4 }
40	-x,y+3/4,z+3/4,+1	{ m₁₀₀ \| 0 3/4 3/4 }
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	-x,-y,-z,-1	{ -1' \| 0 }
46	-y+3/4,-x+1/4,z+1/2,-1	{ m'₁₁₀ \| 3/4 1/4 1/2 }
47	y+1/2,x,z+1/2,-1	{ m'_1-10 \| 1/2 0 1/2 }
48	x+1/4,y+1/4,-z,-1	{ m'₀₀₁ \| 1/4 1/4 0 }
(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	y,-x+1/4,-z+1/4,+1	{ -4⁺₀₀₁ \| 0 1/4 1/4 }
54	-y+3/4,x+1/2,-z+1/4,+1	{ -4^-₀₀₁ \| 3/4 1/2 1/4 }
55	x+1/4,-y,z+1/4,+1	{ m₀₁₀ \| 1/4 0 1/4 }
56	-x,y+1/4,z+1/4,+1	{ m₁₀₀ \| 0 1/4 1/4 }
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	-x,-y+1/2,-z+1/2,-1	{ -1' \| 0 1/2 1/2 }
62	-y+3/4,-x+3/4,z,-1	{ m'₁₁₀ \| 3/4 3/4 0 }
63	y+1/2,x+1/2,z,-1	{ m'_1-10 \| 1/2 1/2 0 }
64	x+1/4,y+3/4,-z+1/2,-1	{ m'₀₀₁ \| 1/4 3/4 1/2 }

[Hide]

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

[Hide]

Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Co1	Co2+	0.12500	0.12500	0.12500	8	0,0,m_z	0.0	0.0	1.9(5)	1.90

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Al1	Al	0.50000	0.50000	0.50000	16
O1	O	0.26300	0.26300	0.26300	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	0.12500	0.12500	0.12500	0,0,m_z	0.00000	0.00000	1.90000
2	0.37500	0.87500	0.37500	0,0,-m_z	0.00000	0.00000	-1.90000
(0,1/2,1/2) + set click here to show and hide
3	0.12500	0.62500	0.62500	0,0,m_z	0.00000	0.00000	1.90000
4	0.37500	0.37500	0.87500	0,0,-m_z	0.00000	0.00000	-1.90000
(1/2,0,1/2) + set click here to show and hide
5	0.62500	0.12500	0.62500	0,0,m_z	0.00000	0.00000	1.90000
6	0.87500	0.87500	0.87500	0,0,-m_z	0.00000	0.00000	-1.90000
(1/2,1/2,0) + set click here to show and hide
7	0.62500	0.62500	0.12500	0,0,m_z	0.00000	0.00000	1.90000
8	0.87500	0.37500	0.37500	0,0,-m_z	0.00000	0.00000	-1.90000

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom Al1:

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

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

Atom	x	y	z
1	0.26300	0.26300	0.26300
2	0.51300	0.01300	0.23700
3	0.73700	0.23700	0.23700
4	0.98700	0.98700	0.26300
5	0.76300	0.48700	0.98700
6	0.98700	0.26300	0.98700
7	0.01300	0.23700	0.51300
8	0.23700	0.01300	0.51300
(0,1/2,1/2) + set click here to show and hide
9	0.26300	0.76300	0.76300
10	0.51300	0.51300	0.73700
11	0.73700	0.73700	0.73700
12	0.98700	0.48700	0.76300
13	0.76300	0.98700	0.48700
14	0.98700	0.76300	0.48700
15	0.01300	0.73700	0.01300
16	0.23700	0.51300	0.01300
(1/2,0,1/2) + set click here to show and hide
17	0.76300	0.26300	0.76300
18	0.01300	0.01300	0.73700
19	0.23700	0.23700	0.73700
20	0.48700	0.98700	0.76300
21	0.26300	0.48700	0.48700
22	0.48700	0.26300	0.48700
23	0.51300	0.23700	0.01300
24	0.73700	0.01300	0.01300
(1/2,1/2,0) + set click here to show and hide
25	0.76300	0.76300	0.26300
26	0.01300	0.51300	0.23700
27	0.23700	0.73700	0.23700
28	0.48700	0.48700	0.26300
29	0.26300	0.98700	0.98700
30	0.48700	0.76300	0.98700
31	0.51300	0.73700	0.51300
32	0.73700	0.51300	0.51300

[Hide]

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Co1	Co2+	0.12500	0.12500	0.12500	8	0,0,m_z	0.0	0.0	1.9(5)	1.90

[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

CoAl₂O₄ (#0.58)

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

CoAl2O4 (#0.58)

CoAl₂O₄ (#0.58)