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+1/2,+1	{ 4⁺₀₀₁ \| 1/4 1/4 1/2 }
3	y+3/4,-x+1/4,z+1/2,+1	{ 4^-₀₀₁ \| 3/4 1/4 1/2 }
4	y+1/4,x+1/4,-z+1/2,+1	{ 2₁₁₀ \| 1/4 1/4 1/2 }
5	-y+3/4,-x+1/4,-z+1/2,+1	{ 2_1-10 \| 3/4 1/4 1/2 }
6	-x,-y+1/2,z,+1	{ 2₀₀₁ \| 0 1/2 0 }
7	-x,y+1/2,-z,+1	{ 2₀₁₀ \| 0 1/2 0 }
8	x,-y,-z,+1	{ 2₁₀₀ \| 0 }
9	-x,-y,-z,+1	{ -1 \| 0 }
10	y+1/4,-x+1/4,-z+1/2,+1	{ -4⁺₀₀₁ \| 1/4 1/4 1/2 }
11	-y+3/4,x+1/4,-z+1/2,+1	{ -4^-₀₀₁ \| 3/4 1/4 1/2 }
12	-y+1/4,-x+1/4,z+1/2,+1	{ m₁₁₀ \| 1/4 1/4 1/2 }
13	y+3/4,x+1/4,z+1/2,+1	{ m_1-10 \| 3/4 1/4 1/2 }
14	x,y+1/2,-z,+1	{ m₀₀₁ \| 0 1/2 0 }
15	x,-y+1/2,z,+1	{ m₀₁₀ \| 0 1/2 0 }
16	-x,y,z,+1	{ m₁₀₀ \| 0 }
(1/2,1/2,0) + set click here to show and hide
17	x+1/2,y+1/2,z,+1	{ 1 \| 1/2 1/2 0 }
18	-y+3/4,x+3/4,z+1/2,+1	{ 4⁺₀₀₁ \| 3/4 3/4 1/2 }
19	y+1/4,-x+3/4,z+1/2,+1	{ 4^-₀₀₁ \| 1/4 3/4 1/2 }
20	y+3/4,x+3/4,-z+1/2,+1	{ 2₁₁₀ \| 3/4 3/4 1/2 }
21	-y+1/4,-x+3/4,-z+1/2,+1	{ 2_1-10 \| 1/4 3/4 1/2 }
22	-x+1/2,-y,z,+1	{ 2₀₀₁ \| 1/2 0 0 }
23	-x+1/2,y,-z,+1	{ 2₀₁₀ \| 1/2 0 0 }
24	x+1/2,-y+1/2,-z,+1	{ 2₁₀₀ \| 1/2 1/2 0 }
25	-x+1/2,-y+1/2,-z,+1	{ -1 \| 1/2 1/2 0 }
26	y+3/4,-x+3/4,-z+1/2,+1	{ -4⁺₀₀₁ \| 3/4 3/4 1/2 }
27	-y+1/4,x+3/4,-z+1/2,+1	{ -4^-₀₀₁ \| 1/4 3/4 1/2 }
28	-y+3/4,-x+3/4,z+1/2,+1	{ m₁₁₀ \| 3/4 3/4 1/2 }
29	y+1/4,x+3/4,z+1/2,+1	{ m_1-10 \| 1/4 3/4 1/2 }
30	x+1/2,y,-z,+1	{ m₀₀₁ \| 1/2 0 0 }
31	x+1/2,-y,z,+1	{ m₀₁₀ \| 1/2 0 0 }
32	-x+1/2,y+1/2,z,+1	{ m₁₀₀ \| 1/2 1/2 0 }
(0,1/2,0)' + set click here to show and hide
33	x,y+1/2,z,-1	{ 1' \| 0 1/2 0 }
34	-y+1/4,x+3/4,z+1/2,-1	{ 4'⁺₀₀₁ \| 1/4 3/4 1/2 }
35	y+3/4,-x+3/4,z+1/2,-1	{ 4'^-₀₀₁ \| 3/4 3/4 1/2 }
36	y+1/4,x+3/4,-z+1/2,-1	{ 2'₁₁₀ \| 1/4 3/4 1/2 }
37	-y+3/4,-x+3/4,-z+1/2,-1	{ 2'_1-10 \| 3/4 3/4 1/2 }
38	-x,-y,z,-1	{ 2'₀₀₁ \| 0 }
39	-x,y,-z,-1	{ 2'₀₁₀ \| 0 }
40	x,-y+1/2,-z,-1	{ 2'₁₀₀ \| 0 1/2 0 }
41	-x,-y+1/2,-z,-1	{ -1' \| 0 1/2 0 }
42	y+1/4,-x+3/4,-z+1/2,-1	{ -4'⁺₀₀₁ \| 1/4 3/4 1/2 }
43	-y+3/4,x+3/4,-z+1/2,-1	{ -4'^-₀₀₁ \| 3/4 3/4 1/2 }
44	-y+1/4,-x+3/4,z+1/2,-1	{ m'₁₁₀ \| 1/4 3/4 1/2 }
45	y+3/4,x+3/4,z+1/2,-1	{ m'_1-10 \| 3/4 3/4 1/2 }
46	x,y,-z,-1	{ m'₀₀₁ \| 0 }
47	x,-y,z,-1	{ m'₀₁₀ \| 0 }
48	-x,y+1/2,z,-1	{ m'₁₀₀ \| 0 1/2 0 }
(1/2,0,0)' + set click here to show and hide
49	x+1/2,y,z,-1	{ 1' \| 1/2 0 0 }
50	-y+3/4,x+1/4,z+1/2,-1	{ 4'⁺₀₀₁ \| 3/4 1/4 1/2 }
51	y+1/4,-x+1/4,z+1/2,-1	{ 4'^-₀₀₁ \| 1/4 1/4 1/2 }
52	y+3/4,x+1/4,-z+1/2,-1	{ 2'₁₁₀ \| 3/4 1/4 1/2 }
53	-y+1/4,-x+1/4,-z+1/2,-1	{ 2'_1-10 \| 1/4 1/4 1/2 }
54	-x+1/2,-y+1/2,z,-1	{ 2'₀₀₁ \| 1/2 1/2 0 }
55	-x+1/2,y+1/2,-z,-1	{ 2'₀₁₀ \| 1/2 1/2 0 }
56	x+1/2,-y,-z,-1	{ 2'₁₀₀ \| 1/2 0 0 }
57	-x+1/2,-y,-z,-1	{ -1' \| 1/2 0 0 }
58	y+3/4,-x+1/4,-z+1/2,-1	{ -4'⁺₀₀₁ \| 3/4 1/4 1/2 }
59	-y+1/4,x+1/4,-z+1/2,-1	{ -4'^-₀₀₁ \| 1/4 1/4 1/2 }
60	-y+3/4,-x+1/4,z+1/2,-1	{ m'₁₁₀ \| 3/4 1/4 1/2 }
61	y+1/4,x+1/4,z+1/2,-1	{ m'_1-10 \| 1/4 1/4 1/2 }
62	x+1/2,y+1/2,-z,-1	{ m'₀₀₁ \| 1/2 1/2 0 }
63	x+1/2,-y+1/2,z,-1	{ m'₀₁₀ \| 1/2 1/2 0 }
64	-x+1/2,y,z,-1	{ m'₁₀₀ \| 1/2 0 0 }

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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	-y,x,z,+1	4⁺₀₀₁
3	y,-x,z,+1	4^-₀₀₁
4	y,x,-z,+1	2₁₁₀
5	-y,-x,-z,+1	2_1-10
6	-x,-y,z,+1	2₀₀₁
7	-x,y,-z,+1	2₀₁₀
8	x,-y,-z,+1	2₁₀₀
9	-x,-y,-z,+1	-1
10	y,-x,-z,+1	-4⁺₀₀₁
11	-y,x,-z,+1	-4^-₀₀₁
12	-y,-x,z,+1	m₁₁₀
13	y,x,z,+1	m_1-10
14	x,y,-z,+1	m₀₀₁
15	x,-y,z,+1	m₀₁₀
16	-x,y,z,+1	m₁₀₀
1' + set click here to show and hide
17	x,y,z,-1	1'
18	-y,x,z,-1	4'⁺₀₀₁
19	y,-x,z,-1	4'^-₀₀₁
20	y,x,-z,-1	2'₁₁₀
21	-y,-x,-z,-1	2'_1-10
22	-x,-y,z,-1	2'₀₀₁
23	-x,y,-z,-1	2'₀₁₀
24	x,-y,-z,-1	2'₁₀₀
25	-x,-y,-z,-1	-1'
26	y,-x,-z,-1	-4'⁺₀₀₁
27	-y,x,-z,-1	-4'^-₀₀₁
28	-y,-x,z,-1	m'₁₁₀
29	y,x,z,-1	m'_1-10
30	x,y,-z,-1	m'₀₀₁
31	x,-y,z,-1	m'₀₁₀
32	-x,y,z,-1	m'₁₀₀

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Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Cu1	Cu	0.00000	0.00000	0.00000	8	m_x,0,0	0.4(1)	0.0	0.0	0.40

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Eu1	Eu	0.00000	0.00000	0.35000	16
O1_1	O	0.00000	0.25000	0.00000	8
O1_2	O	0.25000	0.00000	0.00000	8
O2_1	O	0.00000	0.25000	0.25000	8
O2_2	O	0.25000	0.00000	0.25000	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 Cu1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.00000	m_x,0,0	0.40000	0.00000	0.00000
2	0.25000	0.25000	0.50000	0,m_x,0	0.00000	0.40000	0.00000
(1/2,1/2,0) + set click here to show and hide
3	0.50000	0.50000	0.00000	m_x,0,0	0.40000	0.00000	0.00000
4	0.75000	0.75000	0.50000	0,m_x,0	0.00000	0.40000	0.00000
(0,1/2,0)' + set click here to show and hide
5	0.00000	0.50000	0.00000	-m_x,0,0	-0.40000	0.00000	0.00000
6	0.25000	0.75000	0.50000	0,-m_x,0	0.00000	-0.40000	0.00000
(1/2,0,0)' + set click here to show and hide
7	0.50000	0.00000	0.00000	-m_x,0,0	-0.40000	0.00000	0.00000
8	0.75000	0.25000	0.50000	0,-m_x,0	0.00000	-0.40000	0.00000

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom Eu1:

Atom	x	y	z
1	0.00000	0.00000	0.35000
2	0.25000	0.25000	0.85000
3	0.25000	0.25000	0.15000
4	0.00000	0.50000	0.65000
(1/2,1/2,0) + set click here to show and hide
5	0.50000	0.50000	0.35000
6	0.75000	0.75000	0.85000
7	0.75000	0.75000	0.15000
8	0.50000	0.00000	0.65000
(0,1/2,0)' + set click here to show and hide
9	0.00000	0.50000	0.35000
10	0.25000	0.75000	0.85000
11	0.25000	0.75000	0.15000
12	0.00000	0.00000	0.65000
(1/2,0,0)' + set click here to show and hide
13	0.50000	0.00000	0.35000
14	0.75000	0.25000	0.85000
15	0.75000	0.25000	0.15000
16	0.50000	0.50000	0.65000

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

Atom	x	y	z
1	0.00000	0.25000	0.00000
2	0.00000	0.25000	0.50000
(1/2,1/2,0) + set click here to show and hide
3	0.50000	0.75000	0.00000
4	0.50000	0.75000	0.50000
(0,1/2,0)' + set click here to show and hide
5	0.00000	0.75000	0.00000
6	0.00000	0.75000	0.50000
(1/2,0,0)' + set click here to show and hide
7	0.50000	0.25000	0.00000
8	0.50000	0.25000	0.50000

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

Atom	x	y	z
1	0.25000	0.00000	0.00000
2	0.25000	0.50000	0.50000
(1/2,1/2,0) + set click here to show and hide
3	0.75000	0.50000	0.00000
4	0.75000	0.00000	0.50000
(0,1/2,0)' + set click here to show and hide
5	0.25000	0.50000	0.00000
6	0.25000	0.00000	0.50000
(1/2,0,0)' + set click here to show and hide
7	0.75000	0.00000	0.00000
8	0.75000	0.50000	0.50000

Set of atoms in the unit cell related by symmetry with the atom O2_1:

Atom	x	y	z
1	0.00000	0.25000	0.25000
2	0.00000	0.25000	0.75000
(1/2,1/2,0) + set click here to show and hide
3	0.50000	0.75000	0.25000
4	0.50000	0.75000	0.75000
(0,1/2,0)' + set click here to show and hide
5	0.00000	0.75000	0.25000
6	0.00000	0.75000	0.75000
(1/2,0,0)' + set click here to show and hide
7	0.50000	0.25000	0.25000
8	0.50000	0.25000	0.75000

Set of atoms in the unit cell related by symmetry with the atom O2_2:

Atom	x	y	z
1	0.25000	0.00000	0.25000
2	0.25000	0.50000	0.75000
(1/2,1/2,0) + set click here to show and hide
3	0.75000	0.50000	0.25000
4	0.75000	0.00000	0.75000
(0,1/2,0)' + set click here to show and hide
5	0.25000	0.50000	0.25000
6	0.25000	0.00000	0.75000
(1/2,0,0)' + set click here to show and hide
7	0.75000	0.00000	0.25000
8	0.75000	0.50000	0.75000

[Hide]

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Cu1	Cu	0.00000	0.00000	0.00000	8	m_x,0,0	0.4(1)	0.0	0.0	0.40

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

label	dim. full irrep	dim. small irrep	direction	action	number of modes
mX3+	2	1	special-2	primary	1

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

Eu₂CuO₄ (#2.77)

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

Eu2CuO4 (#2.77)

Eu₂CuO₄ (#2.77)