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	x+1/2,-y+1/2,-z,+1	{ 2₁₀₀ \| 1/2 1/2 0 }
3	-x,y+1/2,-z+1/2,+1	{ 2₀₁₀ \| 0 1/2 1/2 }
4	-x+1/2,-y,z+1/2,+1	{ 2₀₀₁ \| 1/2 0 1/2 }
5	z,x,y,+1	{ 3⁺₁₁₁ \| 0 }
6	y,z,x,+1	{ 3^-₁₁₁ \| 0 }
7	-y,z+1/2,-x+1/2,+1	{ 3^-_1-1-1 \| 0 1/2 1/2 }
8	-z+1/2,-x,y+1/2,+1	{ 3⁺_1-1-1 \| 1/2 0 1/2 }
9	-y+1/2,-z,x+1/2,+1	{ 3^-_-11-1 \| 1/2 0 1/2 }
10	z+1/2,-x+1/2,-y,+1	{ 3⁺_-11-1 \| 1/2 1/2 0 }
11	y+1/2,-z+1/2,-x,+1	{ 3^-_-1-11 \| 1/2 1/2 0 }
12	-z,x+1/2,-y+1/2,+1	{ 3⁺_-1-11 \| 0 1/2 1/2 }
13	-x,-y,-z,+1	{ -1 \| 0 }
14	-x+1/2,y+1/2,z,+1	{ m₁₀₀ \| 1/2 1/2 0 }
15	x,-y+1/2,z+1/2,+1	{ m₀₁₀ \| 0 1/2 1/2 }
16	x+1/2,y,-z+1/2,+1	{ m₀₀₁ \| 1/2 0 1/2 }
17	-z,-x,-y,+1	{ -3⁺₁₁₁ \| 0 }
18	-y,-z,-x,+1	{ -3^-₁₁₁ \| 0 }
19	y,-z+1/2,x+1/2,+1	{ -3^-_1-1-1 \| 0 1/2 1/2 }
20	z+1/2,x,-y+1/2,+1	{ -3⁺_1-1-1 \| 1/2 0 1/2 }
21	y+1/2,z,-x+1/2,+1	{ -3^-_-11-1 \| 1/2 0 1/2 }
22	-z+1/2,x+1/2,y,+1	{ -3⁺_-11-1 \| 1/2 1/2 0 }
23	-y+1/2,z+1/2,x,+1	{ -3^-_-1-11 \| 1/2 1/2 0 }
24	z,-x+1/2,y+1/2,+1	{ -3⁺_-1-11 \| 0 1/2 1/2 }
(1/2,1/2,1/2)' + set click here to show and hide
25	x+1/2,y+1/2,z+1/2,-1	{ 1' \| 1/2 1/2 1/2 }
26	x,-y,-z+1/2,-1	{ 2'₁₀₀ \| 0 0 1/2 }
27	-x+1/2,y,-z,-1	{ 2'₀₁₀ \| 1/2 0 0 }
28	-x,-y+1/2,z,-1	{ 2'₀₀₁ \| 0 1/2 0 }
29	z+1/2,x+1/2,y+1/2,-1	{ 3'⁺₁₁₁ \| 1/2 1/2 1/2 }
30	y+1/2,z+1/2,x+1/2,-1	{ 3'^-₁₁₁ \| 1/2 1/2 1/2 }
31	-y+1/2,z,-x,-1	{ 3'^-_1-1-1 \| 1/2 0 0 }
32	-z,-x+1/2,y,-1	{ 3'⁺_1-1-1 \| 0 1/2 0 }
33	-y,-z+1/2,x,-1	{ 3'^-_-11-1 \| 0 1/2 0 }
34	z,-x,-y+1/2,-1	{ 3'⁺_-11-1 \| 0 0 1/2 }
35	y,-z,-x+1/2,-1	{ 3'^-_-1-11 \| 0 0 1/2 }
36	-z+1/2,x,-y,-1	{ 3'⁺_-1-11 \| 1/2 0 0 }
37	-x+1/2,-y+1/2,-z+1/2,-1	{ -1' \| 1/2 1/2 1/2 }
38	-x,y,z+1/2,-1	{ m'₁₀₀ \| 0 0 1/2 }
39	x+1/2,-y,z,-1	{ m'₀₁₀ \| 1/2 0 0 }
40	x,y+1/2,-z,-1	{ m'₀₀₁ \| 0 1/2 0 }
41	-z+1/2,-x+1/2,-y+1/2,-1	{ -3'⁺₁₁₁ \| 1/2 1/2 1/2 }
42	-y+1/2,-z+1/2,-x+1/2,-1	{ -3'^-₁₁₁ \| 1/2 1/2 1/2 }
43	y+1/2,-z,x,-1	{ -3'^-_1-1-1 \| 1/2 0 0 }
44	z,x+1/2,-y,-1	{ -3'⁺_1-1-1 \| 0 1/2 0 }
45	y,z+1/2,-x,-1	{ -3'^-_-11-1 \| 0 1/2 0 }
46	-z,x,y+1/2,-1	{ -3'⁺_-11-1 \| 0 0 1/2 }
47	-y,z,x+1/2,-1	{ -3'^-_-1-11 \| 0 0 1/2 }
48	z+1/2,-x,y,-1	{ -3'⁺_-1-11 \| 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	x,-y,-z,+1	2₁₀₀
3	-x,y,-z,+1	2₀₁₀
4	-x,-y,z,+1	2₀₀₁
5	z,x,y,+1	3⁺₁₁₁
6	y,z,x,+1	3^-₁₁₁
7	-y,z,-x,+1	3^-_1-1-1
8	-z,-x,y,+1	3⁺_1-1-1
9	-y,-z,x,+1	3^-_-11-1
10	z,-x,-y,+1	3⁺_-11-1
11	y,-z,-x,+1	3^-_-1-11
12	-z,x,-y,+1	3⁺_-1-11
13	-x,-y,-z,+1	-1
14	-x,y,z,+1	m₁₀₀
15	x,-y,z,+1	m₀₁₀
16	x,y,-z,+1	m₀₀₁
17	-z,-x,-y,+1	-3⁺₁₁₁
18	-y,-z,-x,+1	-3^-₁₁₁
19	y,-z,x,+1	-3^-_1-1-1
20	z,x,-y,+1	-3⁺_1-1-1
21	y,z,-x,+1	-3^-_-11-1
22	-z,x,y,+1	-3⁺_-11-1
23	-y,z,x,+1	-3^-_-1-11
24	z,-x,y,+1	-3⁺_-1-11
1' + set click here to show and hide
25	x,y,z,-1	1'
26	x,-y,-z,-1	2'₁₀₀
27	-x,y,-z,-1	2'₀₁₀
28	-x,-y,z,-1	2'₀₀₁
29	z,x,y,-1	3'⁺₁₁₁
30	y,z,x,-1	3'^-₁₁₁
31	-y,z,-x,-1	3'^-_1-1-1
32	-z,-x,y,-1	3'⁺_1-1-1
33	-y,-z,x,-1	3'^-_-11-1
34	z,-x,-y,-1	3'⁺_-11-1
35	y,-z,-x,-1	3'^-_-1-11
36	-z,x,-y,-1	3'⁺_-1-11
37	-x,-y,-z,-1	-1'
38	-x,y,z,-1	m'₁₀₀
39	x,-y,z,-1	m'₀₁₀
40	x,y,-z,-1	m'₀₀₁
41	-z,-x,-y,-1	-3'⁺₁₁₁
42	-y,-z,-x,-1	-3'^-₁₁₁
43	y,-z,x,-1	-3'^-_1-1-1
44	z,x,-y,-1	-3'⁺_1-1-1
45	y,z,-x,-1	-3'^-_-11-1
46	-z,x,y,-1	-3'⁺_-11-1
47	-y,z,x,-1	-3'^-_-1-11
48	z,-x,y,-1	-3'⁺_-1-11

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Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Eu1	Eu	0.00000	0.50000	0.25000	24	0,m_y,m_z	0.0	-4.769(11)	4.769(11)	6.74

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Pb1	Pb	0.75000	0.75000	0.25000	8
O1	O	0.00000	0.50000	0.50000	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 Eu1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.50000	0.25000	0,m_y,m_z	0.00000	-4.76900	4.76900
2	0.00000	0.00000	0.25000	0,m_y,-m_z	0.00000	-4.76900	-4.76900
3	0.25000	0.00000	0.50000	m_z,0,m_y	4.76900	0.00000	-4.76900
4	0.50000	0.25000	0.00000	m_y,m_z,0	-4.76900	4.76900	0.00000
5	0.50000	0.75000	0.50000	-m_y,m_z,0	4.76900	4.76900	0.00000
6	0.25000	0.00000	0.00000	-m_z,0,m_y	-4.76900	0.00000	-4.76900
7	0.00000	0.50000	0.75000	0,m_y,m_z	0.00000	-4.76900	4.76900
8	0.00000	0.00000	0.75000	0,m_y,-m_z	0.00000	-4.76900	-4.76900
9	0.75000	0.00000	0.50000	m_z,0,m_y	4.76900	0.00000	-4.76900
10	0.50000	0.75000	0.00000	m_y,m_z,0	-4.76900	4.76900	0.00000
11	0.50000	0.25000	0.50000	-m_y,m_z,0	4.76900	4.76900	0.00000
12	0.75000	0.00000	0.00000	-m_z,0,m_y	-4.76900	0.00000	-4.76900
(1/2,1/2,1/2)' + set click here to show and hide
13	0.50000	0.00000	0.75000	0,-m_y,-m_z	0.00000	4.76900	-4.76900
14	0.50000	0.50000	0.75000	0,-m_y,m_z	0.00000	4.76900	4.76900
15	0.75000	0.50000	0.00000	-m_z,0,-m_y	-4.76900	0.00000	4.76900
16	0.00000	0.75000	0.50000	-m_y,-m_z,0	4.76900	-4.76900	0.00000
17	0.00000	0.25000	0.00000	m_y,-m_z,0	-4.76900	-4.76900	0.00000
18	0.75000	0.50000	0.50000	m_z,0,-m_y	4.76900	0.00000	4.76900
19	0.50000	0.00000	0.25000	0,-m_y,-m_z	0.00000	4.76900	-4.76900
20	0.50000	0.50000	0.25000	0,-m_y,m_z	0.00000	4.76900	4.76900
21	0.25000	0.50000	0.00000	-m_z,0,-m_y	-4.76900	0.00000	4.76900
22	0.00000	0.25000	0.50000	-m_y,-m_z,0	4.76900	-4.76900	0.00000
23	0.00000	0.75000	0.00000	m_y,-m_z,0	-4.76900	-4.76900	0.00000
24	0.25000	0.50000	0.50000	m_z,0,-m_y	4.76900	0.00000	4.76900

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom Pb1:

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

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

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

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Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Eu1	Eu	0.00000	0.50000	0.25000	24	0,m_y,m_z	0.0	-4.769(11)	4.769(11)	6.74

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

label	dim. full irrep	dim. small irrep	direction	action	number of modes
mX5-	6	2	special-3	primary	2

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

Eu₃PbO (#3.22)

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

Eu3PbO (#3.22)

Eu₃PbO (#3.22)