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

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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	8	m_x,m_x,m_x	3.	3.	3.	5.20

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Rh1	Rh	0.25000	0.25000	0.25000	8

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_x	3.00000	3.00000	3.00000
2	0.50000	0.50000	0.00000	-m_x,m_x,-m_x	-3.00000	3.00000	-3.00000
3	0.50000	0.00000	0.50000	m_x,-m_x,-m_x	3.00000	-3.00000	-3.00000
4	0.00000	0.50000	0.50000	-m_x,-m_x,m_x	-3.00000	-3.00000	3.00000
(1/2,1/2,1/2)' + set click here to show and hide
5	0.50000	0.50000	0.50000	-m_x,-m_x,-m_x	-3.00000	-3.00000	-3.00000
6	0.00000	0.00000	0.50000	m_x,-m_x,m_x	3.00000	-3.00000	3.00000
7	0.00000	0.50000	0.00000	-m_x,m_x,m_x	-3.00000	3.00000	3.00000
8	0.50000	0.00000	0.00000	m_x,m_x,-m_x	3.00000	3.00000	-3.00000

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

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

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	8	m_x,m_x,m_x	3.	3.	3.	5.20

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_x	3.00000	3.00000	3.00000
2	0.50000	0.50000	0.00000	-m_x,m_x,-m_x	-3.00000	3.00000	-3.00000
3	0.50000	0.00000	0.50000	m_x,-m_x,-m_x	3.00000	-3.00000	-3.00000
4	0.00000	0.50000	0.50000	-m_x,-m_x,m_x	-3.00000	-3.00000	3.00000
(1/2,1/2,1/2)' + set click here to show and hide
5	0.50000	0.50000	0.50000	-m_x,-m_x,-m_x	-3.00000	-3.00000	-3.00000
6	0.00000	0.00000	0.50000	m_x,-m_x,m_x	3.00000	-3.00000	3.00000
7	0.00000	0.50000	0.00000	-m_x,m_x,m_x	-3.00000	3.00000	3.00000
8	0.50000	0.00000	0.00000	m_x,m_x,-m_x	3.00000	3.00000	-3.00000

[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	primary	1

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

HoRh (#3.18)