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

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N	(x,y,z)	Seitz notation
1	x,y,z,+1	1
2	-x,-y,-z,+1	-1
3	-x,-y,z,+1	2₀₀₁
4	-y,x,-z,+1	-4^-₀₀₁
5	-y,x,z,+1	4⁺₀₀₁
6	y,-x,-z,+1	-4⁺₀₀₁
7	y,-x,z,+1	4^-₀₀₁
8	x,y,-z,+1	m₀₀₁
9	-x,y,-z,-1	2'₀₁₀
10	-x,y,z,-1	m'₁₀₀
11	-y,-x,-z,-1	2'_1-10
12	-y,-x,z,-1	m'₁₁₀
13	y,x,-z,-1	2'₁₁₀
14	y,x,z,-1	m'_1-10
15	x,-y,-z,-1	2'₁₀₀
16	x,-y,z,-1	m'₀₁₀

Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Ho1	Ho3+	0.50000	0.50000	0.50000	16	m_x,m_x,m_z	-4.26	-4.26	-1.84	6.30
Ru1	Ru4+	0.00000	0.00000	0.00000	16	m_x,m_x,m_z	0.22	0.22	1.77	1.80

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
O1_1	O	0.33900	0.12500	0.12500	32
O1_2	O	0.12500	0.12500	0.33900	16
O2	O	0.37500	0.37500	0.37500	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	0.50000	0.50000	0.50000	m_x,m_x,m_z	-4.26000	-4.26000	-1.84000
2	0.50000	0.75000	0.75000	-m_x,m_x,m_z	4.26000	-4.26000	-1.84000
3	0.75000	0.50000	0.75000	m_x,-m_x,m_z	-4.26000	4.26000	-1.84000
4	0.75000	0.75000	0.50000	-m_x,-m_x,m_z	4.26000	4.26000	-1.84000
(0,1/2,1/2) + set click here to show and hide
5	0.50000	0.00000	0.00000	m_x,m_x,m_z	-4.26000	-4.26000	-1.84000
6	0.50000	0.25000	0.25000	-m_x,m_x,m_z	4.26000	-4.26000	-1.84000
7	0.75000	0.00000	0.25000	m_x,-m_x,m_z	-4.26000	4.26000	-1.84000
8	0.75000	0.25000	0.00000	-m_x,-m_x,m_z	4.26000	4.26000	-1.84000
(1/2,0,1/2) + set click here to show and hide
9	0.00000	0.50000	0.00000	m_x,m_x,m_z	-4.26000	-4.26000	-1.84000
10	0.00000	0.75000	0.25000	-m_x,m_x,m_z	4.26000	-4.26000	-1.84000
11	0.25000	0.50000	0.25000	m_x,-m_x,m_z	-4.26000	4.26000	-1.84000
12	0.25000	0.75000	0.00000	-m_x,-m_x,m_z	4.26000	4.26000	-1.84000
(1/2,1/2,0) + set click here to show and hide
13	0.00000	0.00000	0.50000	m_x,m_x,m_z	-4.26000	-4.26000	-1.84000
14	0.00000	0.25000	0.75000	-m_x,m_x,m_z	4.26000	-4.26000	-1.84000
15	0.25000	0.00000	0.75000	m_x,-m_x,m_z	-4.26000	4.26000	-1.84000
16	0.25000	0.25000	0.50000	-m_x,-m_x,m_z	4.26000	4.26000	-1.84000

Set of atoms in the unit cell related by symmetry with the magnetic atom Ru1:

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	0.22000	0.22000	1.77000
2	0.00000	0.25000	0.25000	-m_x,m_x,m_z	-0.22000	0.22000	1.77000
3	0.25000	0.00000	0.25000	m_x,-m_x,m_z	0.22000	-0.22000	1.77000
4	0.25000	0.25000	0.00000	-m_x,-m_x,m_z	-0.22000	-0.22000	1.77000
(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	0.22000	0.22000	1.77000
6	0.00000	0.75000	0.75000	-m_x,m_x,m_z	-0.22000	0.22000	1.77000
7	0.25000	0.50000	0.75000	m_x,-m_x,m_z	0.22000	-0.22000	1.77000
8	0.25000	0.75000	0.50000	-m_x,-m_x,m_z	-0.22000	-0.22000	1.77000
(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	0.22000	0.22000	1.77000
10	0.50000	0.25000	0.75000	-m_x,m_x,m_z	-0.22000	0.22000	1.77000
11	0.75000	0.00000	0.75000	m_x,-m_x,m_z	0.22000	-0.22000	1.77000
12	0.75000	0.25000	0.50000	-m_x,-m_x,m_z	-0.22000	-0.22000	1.77000
(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	0.22000	0.22000	1.77000
14	0.50000	0.75000	0.25000	-m_x,m_x,m_z	-0.22000	0.22000	1.77000
15	0.75000	0.50000	0.25000	m_x,-m_x,m_z	0.22000	-0.22000	1.77000
16	0.75000	0.75000	0.00000	-m_x,-m_x,m_z	-0.22000	-0.22000	1.77000

Non-magnetic atoms:

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

Atom	x	y	z
1	0.33900	0.12500	0.12500
2	0.87500	0.58900	0.37500
3	0.37500	0.66100	0.37500
4	0.91100	0.12500	0.12500
5	0.16100	0.87500	0.37500
6	0.62500	0.41100	0.12500
7	0.12500	0.33900	0.12500
8	0.08900	0.37500	0.37500
(0,1/2,1/2) + set click here to show and hide
9	0.33900	0.62500	0.62500
10	0.87500	0.08900	0.87500
11	0.37500	0.16100	0.87500
12	0.91100	0.62500	0.62500
13	0.16100	0.37500	0.87500
14	0.62500	0.91100	0.62500
15	0.12500	0.83900	0.62500
16	0.08900	0.87500	0.87500
(1/2,0,1/2) + set click here to show and hide
17	0.83900	0.12500	0.62500
18	0.37500	0.58900	0.87500
19	0.87500	0.66100	0.87500
20	0.41100	0.12500	0.62500
21	0.66100	0.87500	0.87500
22	0.12500	0.41100	0.62500
23	0.62500	0.33900	0.62500
24	0.58900	0.37500	0.87500
(1/2,1/2,0) + set click here to show and hide
25	0.83900	0.62500	0.12500
26	0.37500	0.08900	0.37500
27	0.87500	0.16100	0.37500
28	0.41100	0.62500	0.12500
29	0.66100	0.37500	0.37500
30	0.12500	0.91100	0.12500
31	0.62500	0.83900	0.12500
32	0.58900	0.87500	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	0.33900
2	0.87500	0.37500	0.58900
3	0.37500	0.87500	0.16100
4	0.62500	0.62500	0.91100
(0,1/2,1/2) + set click here to show and hide
5	0.12500	0.62500	0.83900
6	0.87500	0.87500	0.08900
7	0.37500	0.37500	0.66100
8	0.62500	0.12500	0.41100
(1/2,0,1/2) + set click here to show and hide
9	0.62500	0.12500	0.83900
10	0.37500	0.37500	0.08900
11	0.87500	0.87500	0.66100
12	0.12500	0.62500	0.41100
(1/2,1/2,0) + set click here to show and hide
13	0.62500	0.62500	0.33900
14	0.37500	0.87500	0.58900
15	0.87500	0.37500	0.16100
16	0.12500	0.12500	0.91100

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

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

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Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Ho1	Ho3+	0.50000	0.50000	0.50000	16	m_x,m_x,m_z	-4.26	-4.26	-1.84	6.30
Ru1	Ru4+	0.00000	0.00000	0.00000	16	m_x,m_x,m_z	0.22	0.22	1.77	1.80

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

Positions and magnetic moments of all atoms in unit cell, with magnetic moment relations explicitly given:

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	0.50000	0.50000	0.50000	m_x,m_x,m_z	-4.26000	-4.26000	-1.84000
2	0.50000	0.75000	0.75000	-m_x,m_x,m_z	4.26000	-4.26000	-1.84000
3	0.75000	0.50000	0.75000	m_x,-m_x,m_z	-4.26000	4.26000	-1.84000
4	0.75000	0.75000	0.50000	-m_x,-m_x,m_z	4.26000	4.26000	-1.84000
(0,1/2,1/2) + set click here to show and hide
5	0.50000	0.00000	0.00000	m_x,m_x,m_z	-4.26000	-4.26000	-1.84000
6	0.50000	0.25000	0.25000	-m_x,m_x,m_z	4.26000	-4.26000	-1.84000
7	0.75000	0.00000	0.25000	m_x,-m_x,m_z	-4.26000	4.26000	-1.84000
8	0.75000	0.25000	0.00000	-m_x,-m_x,m_z	4.26000	4.26000	-1.84000
(1/2,0,1/2) + set click here to show and hide
9	0.00000	0.50000	0.00000	m_x,m_x,m_z	-4.26000	-4.26000	-1.84000
10	0.00000	0.75000	0.25000	-m_x,m_x,m_z	4.26000	-4.26000	-1.84000
11	0.25000	0.50000	0.25000	m_x,-m_x,m_z	-4.26000	4.26000	-1.84000
12	0.25000	0.75000	0.00000	-m_x,-m_x,m_z	4.26000	4.26000	-1.84000
(1/2,1/2,0) + set click here to show and hide
13	0.00000	0.00000	0.50000	m_x,m_x,m_z	-4.26000	-4.26000	-1.84000
14	0.00000	0.25000	0.75000	-m_x,m_x,m_z	4.26000	-4.26000	-1.84000
15	0.25000	0.00000	0.75000	m_x,-m_x,m_z	-4.26000	4.26000	-1.84000
16	0.25000	0.25000	0.50000	-m_x,-m_x,m_z	4.26000	4.26000	-1.84000

Set of atoms in the unit cell related by symmetry with the magnetic atom Ru1:

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	0.22000	0.22000	1.77000
2	0.00000	0.25000	0.25000	-m_x,m_x,m_z	-0.22000	0.22000	1.77000
3	0.25000	0.00000	0.25000	m_x,-m_x,m_z	0.22000	-0.22000	1.77000
4	0.25000	0.25000	0.00000	-m_x,-m_x,m_z	-0.22000	-0.22000	1.77000
(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	0.22000	0.22000	1.77000
6	0.00000	0.75000	0.75000	-m_x,m_x,m_z	-0.22000	0.22000	1.77000
7	0.25000	0.50000	0.75000	m_x,-m_x,m_z	0.22000	-0.22000	1.77000
8	0.25000	0.75000	0.50000	-m_x,-m_x,m_z	-0.22000	-0.22000	1.77000
(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	0.22000	0.22000	1.77000
10	0.50000	0.25000	0.75000	-m_x,m_x,m_z	-0.22000	0.22000	1.77000
11	0.75000	0.00000	0.75000	m_x,-m_x,m_z	0.22000	-0.22000	1.77000
12	0.75000	0.25000	0.50000	-m_x,-m_x,m_z	-0.22000	-0.22000	1.77000
(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	0.22000	0.22000	1.77000
14	0.50000	0.75000	0.25000	-m_x,m_x,m_z	-0.22000	0.22000	1.77000
15	0.75000	0.50000	0.25000	m_x,-m_x,m_z	0.22000	-0.22000	1.77000
16	0.75000	0.75000	0.00000	-m_x,-m_x,m_z	-0.22000	-0.22000	1.77000

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label	dim. full irrep	dim. small irrep	direction	action
mGM4+	3	3	special	primary

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

Ho₂Ru₂O₇ (#0.51)

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

Ho2Ru2O7 (#0.51)

Ho₂Ru₂O₇ (#0.51)