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

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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	-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

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Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Ho1	Ho	0.00000	0.00000	0.00000	16	m_x,m_x,m_z	4.68	4.68	4.68	8.11

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Os1	Os	0.50000	0.50000	0.50000	16
O1_1	O	0.41435	0.12500	0.12500	32
O1_2	O	0.12500	0.12500	0.41435	16
O2	O	0.12500	0.12500	0.12500	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 Ho1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.00000	m_x,m_x,m_z	4.68000	4.68000	4.68000
2	0.25000	0.50000	0.75000	m_x,-m_x,m_z	4.68000	-4.68000	4.68000
3	0.50000	0.25000	0.75000	-m_x,m_x,m_z	-4.68000	4.68000	4.68000
4	0.75000	0.75000	0.00000	-m_x,-m_x,m_z	-4.68000	-4.68000	4.68000
(0,1/2,1/2) + set click here to show and hide
5	0.00000	0.50000	0.50000	m_x,m_x,m_z	4.68000	4.68000	4.68000
6	0.25000	0.00000	0.25000	m_x,-m_x,m_z	4.68000	-4.68000	4.68000
7	0.50000	0.75000	0.25000	-m_x,m_x,m_z	-4.68000	4.68000	4.68000
8	0.75000	0.25000	0.50000	-m_x,-m_x,m_z	-4.68000	-4.68000	4.68000
(1/2,0,1/2) + set click here to show and hide
9	0.50000	0.00000	0.50000	m_x,m_x,m_z	4.68000	4.68000	4.68000
10	0.75000	0.50000	0.25000	m_x,-m_x,m_z	4.68000	-4.68000	4.68000
11	0.00000	0.25000	0.25000	-m_x,m_x,m_z	-4.68000	4.68000	4.68000
12	0.25000	0.75000	0.50000	-m_x,-m_x,m_z	-4.68000	-4.68000	4.68000
(1/2,1/2,0) + set click here to show and hide
13	0.50000	0.50000	0.00000	m_x,m_x,m_z	4.68000	4.68000	4.68000
14	0.75000	0.00000	0.75000	m_x,-m_x,m_z	4.68000	-4.68000	4.68000
15	0.00000	0.75000	0.75000	-m_x,m_x,m_z	-4.68000	4.68000	4.68000
16	0.25000	0.25000	0.00000	-m_x,-m_x,m_z	-4.68000	-4.68000	4.68000

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom Os1:

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

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

Atom	x	y	z
1	0.41435	0.12500	0.12500
2	0.37500	0.08565	0.87500
3	0.37500	0.66435	0.87500
4	0.33565	0.62500	0.12500
5	0.08565	0.87500	0.37500
6	0.12500	0.91435	0.62500
7	0.12500	0.33565	0.62500
8	0.66435	0.87500	0.37500
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9	0.41435	0.62500	0.62500
10	0.37500	0.58565	0.37500
11	0.37500	0.16435	0.37500
12	0.33565	0.12500	0.62500
13	0.08565	0.37500	0.87500
14	0.12500	0.41435	0.12500
15	0.12500	0.83565	0.12500
16	0.66435	0.37500	0.87500
(1/2,0,1/2) + set click here to show and hide
17	0.91435	0.12500	0.62500
18	0.87500	0.08565	0.37500
19	0.87500	0.66435	0.37500
20	0.83565	0.62500	0.62500
21	0.58565	0.87500	0.87500
22	0.62500	0.91435	0.12500
23	0.62500	0.33565	0.12500
24	0.16435	0.87500	0.87500
(1/2,1/2,0) + set click here to show and hide
25	0.91435	0.62500	0.12500
26	0.87500	0.58565	0.87500
27	0.87500	0.16435	0.87500
28	0.83565	0.12500	0.12500
29	0.58565	0.37500	0.37500
30	0.62500	0.41435	0.62500
31	0.62500	0.83565	0.62500
32	0.16435	0.37500	0.37500

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

Atom	x	y	z
1	0.12500	0.12500	0.41435
2	0.37500	0.37500	0.16435
3	0.37500	0.87500	0.08565
4	0.12500	0.62500	0.33565
(0,1/2,1/2) + set click here to show and hide
5	0.12500	0.62500	0.91435
6	0.37500	0.87500	0.66435
7	0.37500	0.37500	0.58565
8	0.12500	0.12500	0.83565
(1/2,0,1/2) + set click here to show and hide
9	0.62500	0.12500	0.91435
10	0.87500	0.37500	0.66435
11	0.87500	0.87500	0.58565
12	0.62500	0.62500	0.83565
(1/2,1/2,0) + set click here to show and hide
13	0.62500	0.62500	0.41435
14	0.87500	0.87500	0.16435
15	0.87500	0.37500	0.08565
16	0.62500	0.12500	0.33565

Set of atoms in the unit cell related by symmetry with the atom O2:

Atom	x	y	z
1	0.12500	0.12500	0.12500
2	0.37500	0.37500	0.87500
(0,1/2,1/2) + set click here to show and hide
3	0.12500	0.62500	0.62500
4	0.37500	0.87500	0.37500
(1/2,0,1/2) + set click here to show and hide
5	0.62500	0.12500	0.62500
6	0.87500	0.37500	0.37500
(1/2,1/2,0) + set click here to show and hide
7	0.62500	0.62500	0.12500
8	0.87500	0.87500	0.87500

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Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Ho1	Ho	0.00000	0.00000	0.00000	16	m_x,m_x,m_z	4.68	4.68	4.68	8.11

[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	2

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

Ho₂Os₂O₇ (#0.1086)

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

Ho2Os2O7 (#0.1086)

Ho₂Os₂O₇ (#0.1086)