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+3/4,-y+3/4,-z+1/2,+1	{ -1 \| 3/4 3/4 1/2 }
3	-x,-z+1/4,-y+1/4,-1	{ 2'_01-1 \| 0 1/4 1/4 }
4	x+1/4,z+3/4,y+1/2,-1	{ m'_01-1 \| 1/4 3/4 1/2 }
(0,1/4,3/4) + set click here to show and hide
5	x,y+1/4,z+3/4,+1	{ 1 \| 0 1/4 3/4 }
6	-x+3/4,-y,-z+1/4,+1	{ -1 \| 3/4 0 1/4 }
7	-x,-z+1/2,-y,-1	{ 2'_01-1 \| 0 1/2 0 }
8	x+1/4,z,y+1/4,-1	{ m'_01-1 \| 1/4 0 1/4 }
(0,1/2,1/2) + set click here to show and hide
9	x,y+1/2,z+1/2,+1	{ 1 \| 0 1/2 1/2 }
10	-x+3/4,-y+1/4,-z,+1	{ -1 \| 3/4 1/4 0 }
11	-x,-z+3/4,-y+3/4,-1	{ 2'_01-1 \| 0 3/4 3/4 }
12	x+1/4,z+1/4,y,-1	{ m'_01-1 \| 1/4 1/4 0 }
(0,3/4,1/4) + set click here to show and hide
13	x,y+3/4,z+1/4,+1	{ 1 \| 0 3/4 1/4 }
14	-x+3/4,-y+1/2,-z+3/4,+1	{ -1 \| 3/4 1/2 3/4 }
15	-x,-z,-y+1/2,-1	{ 2'_01-1 \| 0 0 1/2 }
16	x+1/4,z+1/2,y+3/4,-1	{ m'_01-1 \| 1/4 1/2 3/4 }
(1/4,0,3/4) + set click here to show and hide
17	x+1/4,y,z+3/4,+1	{ 1 \| 1/4 0 3/4 }
18	-x,-y+3/4,-z+1/4,+1	{ -1 \| 0 3/4 1/4 }
19	-x+1/4,-z+1/4,-y,-1	{ 2'_01-1 \| 1/4 1/4 0 }
20	x+1/2,z+3/4,y+1/4,-1	{ m'_01-1 \| 1/2 3/4 1/4 }
(1/4,1/4,1/2) + set click here to show and hide
21	x+1/4,y+1/4,z+1/2,+1	{ 1 \| 1/4 1/4 1/2 }
22	-x,-y,-z,+1	{ -1 \| 0 }
23	-x+1/4,-z+1/2,-y+3/4,-1	{ 2'_01-1 \| 1/4 1/2 3/4 }
24	x+1/2,z,y,-1	{ m'_01-1 \| 1/2 0 0 }
(1/4,1/2,1/4) + set click here to show and hide
25	x+1/4,y+1/2,z+1/4,+1	{ 1 \| 1/4 1/2 1/4 }
26	-x,-y+1/4,-z+3/4,+1	{ -1 \| 0 1/4 3/4 }
27	-x+1/4,-z+3/4,-y+1/2,-1	{ 2'_01-1 \| 1/4 3/4 1/2 }
28	x+1/2,z+1/4,y+3/4,-1	{ m'_01-1 \| 1/2 1/4 3/4 }
(1/4,3/4,0) + set click here to show and hide
29	x+1/4,y+3/4,z,+1	{ 1 \| 1/4 3/4 0 }
30	-x,-y+1/2,-z+1/2,+1	{ -1 \| 0 1/2 1/2 }
31	-x+1/4,-z,-y+1/4,-1	{ 2'_01-1 \| 1/4 0 1/4 }
32	x+1/2,z+1/2,y+1/2,-1	{ m'_01-1 \| 1/2 1/2 1/2 }
(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	-x+1/4,-y+3/4,-z,+1	{ -1 \| 1/4 3/4 0 }
35	-x+1/2,-z+1/4,-y+3/4,-1	{ 2'_01-1 \| 1/2 1/4 3/4 }
36	x+3/4,z+3/4,y,-1	{ m'_01-1 \| 3/4 3/4 0 }
(1/2,1/4,1/4) + set click here to show and hide
37	x+1/2,y+1/4,z+1/4,+1	{ 1 \| 1/2 1/4 1/4 }
38	-x+1/4,-y,-z+3/4,+1	{ -1 \| 1/4 0 3/4 }
39	-x+1/2,-z+1/2,-y+1/2,-1	{ 2'_01-1 \| 1/2 1/2 1/2 }
40	x+3/4,z,y+3/4,-1	{ m'_01-1 \| 3/4 0 3/4 }
(1/2,1/2,0) + set click here to show and hide
41	x+1/2,y+1/2,z,+1	{ 1 \| 1/2 1/2 0 }
42	-x+1/4,-y+1/4,-z+1/2,+1	{ -1 \| 1/4 1/4 1/2 }
43	-x+1/2,-z+3/4,-y+1/4,-1	{ 2'_01-1 \| 1/2 3/4 1/4 }
44	x+3/4,z+1/4,y+1/2,-1	{ m'_01-1 \| 3/4 1/4 1/2 }
(1/2,3/4,3/4) + set click here to show and hide
45	x+1/2,y+3/4,z+3/4,+1	{ 1 \| 1/2 3/4 3/4 }
46	-x+1/4,-y+1/2,-z+1/4,+1	{ -1 \| 1/4 1/2 1/4 }
47	-x+1/2,-z,-y,-1	{ 2'_01-1 \| 1/2 0 0 }
48	x+3/4,z+1/2,y+1/4,-1	{ m'_01-1 \| 3/4 1/2 1/4 }
(3/4,0,1/4) + set click here to show and hide
49	x+3/4,y,z+1/4,+1	{ 1 \| 3/4 0 1/4 }
50	-x+1/2,-y+3/4,-z+3/4,+1	{ -1 \| 1/2 3/4 3/4 }
51	-x+3/4,-z+1/4,-y+1/2,-1	{ 2'_01-1 \| 3/4 1/4 1/2 }
52	x,z+3/4,y+3/4,-1	{ m'_01-1 \| 0 3/4 3/4 }
(3/4,1/4,0) + set click here to show and hide
53	x+3/4,y+1/4,z,+1	{ 1 \| 3/4 1/4 0 }
54	-x+1/2,-y,-z+1/2,+1	{ -1 \| 1/2 0 1/2 }
55	-x+3/4,-z+1/2,-y+1/4,-1	{ 2'_01-1 \| 3/4 1/2 1/4 }
56	x,z,y+1/2,-1	{ m'_01-1 \| 0 0 1/2 }
(3/4,1/2,3/4) + set click here to show and hide
57	x+3/4,y+1/2,z+3/4,+1	{ 1 \| 3/4 1/2 3/4 }
58	-x+1/2,-y+1/4,-z+1/4,+1	{ -1 \| 1/2 1/4 1/4 }
59	-x+3/4,-z+3/4,-y,-1	{ 2'_01-1 \| 3/4 3/4 0 }
60	x,z+1/4,y+1/4,-1	{ m'_01-1 \| 0 1/4 1/4 }
(3/4,3/4,1/2) + set click here to show and hide
61	x+3/4,y+3/4,z+1/2,+1	{ 1 \| 3/4 3/4 1/2 }
62	-x+1/2,-y+1/2,-z,+1	{ -1 \| 1/2 1/2 0 }
63	-x+3/4,-z,-y+3/4,-1	{ 2'_01-1 \| 3/4 0 3/4 }
64	x,z+1/2,y,-1	{ m'_01-1 \| 0 1/2 0 }

[Hide]

N	(x,y,z)	Seitz notation
1	x,y,z,+1	1
2	-x,-y,-z,+1	-1
3	-x,-z,-y,-1	2'_01-1
4	x,z,y,-1	m'_01-1

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	32	m_x,m_y,m_z	0.0	0.0	8.8	8.80

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
P1	P	0.25	0.25	0.25	32

[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_y,m_z	0.00000	0.00000	8.80000
2	0.00000	0.25000	0.25000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(0,1/4,3/4) + set click here to show and hide
3	0.00000	0.25000	0.75000	m_x,m_y,m_z	0.00000	0.00000	8.80000
4	0.00000	0.50000	0.00000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(0,1/2,1/2) + set click here to show and hide
5	0.00000	0.50000	0.50000	m_x,m_y,m_z	0.00000	0.00000	8.80000
6	0.00000	0.75000	0.75000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(0,3/4,1/4) + set click here to show and hide
7	0.00000	0.75000	0.25000	m_x,m_y,m_z	0.00000	0.00000	8.80000
8	0.00000	0.00000	0.50000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/4,0,3/4) + set click here to show and hide
9	0.25000	0.00000	0.75000	m_x,m_y,m_z	0.00000	0.00000	8.80000
10	0.25000	0.25000	0.00000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/4,1/4,1/2) + set click here to show and hide
11	0.25000	0.25000	0.50000	m_x,m_y,m_z	0.00000	0.00000	8.80000
12	0.25000	0.50000	0.75000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/4,1/2,1/4) + set click here to show and hide
13	0.25000	0.50000	0.25000	m_x,m_y,m_z	0.00000	0.00000	8.80000
14	0.25000	0.75000	0.50000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/4,3/4,0) + set click here to show and hide
15	0.25000	0.75000	0.00000	m_x,m_y,m_z	0.00000	0.00000	8.80000
16	0.25000	0.00000	0.25000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/2,0,1/2) + set click here to show and hide
17	0.50000	0.00000	0.50000	m_x,m_y,m_z	0.00000	0.00000	8.80000
18	0.50000	0.25000	0.75000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/2,1/4,1/4) + set click here to show and hide
19	0.50000	0.25000	0.25000	m_x,m_y,m_z	0.00000	0.00000	8.80000
20	0.50000	0.50000	0.50000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/2,1/2,0) + set click here to show and hide
21	0.50000	0.50000	0.00000	m_x,m_y,m_z	0.00000	0.00000	8.80000
22	0.50000	0.75000	0.25000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/2,3/4,3/4) + set click here to show and hide
23	0.50000	0.75000	0.75000	m_x,m_y,m_z	0.00000	0.00000	8.80000
24	0.50000	0.00000	0.00000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(3/4,0,1/4) + set click here to show and hide
25	0.75000	0.00000	0.25000	m_x,m_y,m_z	0.00000	0.00000	8.80000
26	0.75000	0.25000	0.50000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(3/4,1/4,0) + set click here to show and hide
27	0.75000	0.25000	0.00000	m_x,m_y,m_z	0.00000	0.00000	8.80000
28	0.75000	0.50000	0.25000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(3/4,1/2,3/4) + set click here to show and hide
29	0.75000	0.50000	0.75000	m_x,m_y,m_z	0.00000	0.00000	8.80000
30	0.75000	0.75000	0.00000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(3/4,3/4,1/2) + set click here to show and hide
31	0.75000	0.75000	0.50000	m_x,m_y,m_z	0.00000	0.00000	8.80000
32	0.75000	0.00000	0.75000	m_x,m_z,m_y	0.00000	8.80000	0.00000

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom P1:

Atom	x	y	z
1	0.25000	0.25000	0.25000
2	0.50000	0.50000	0.25000
(0,1/4,3/4) + set click here to show and hide
3	0.25000	0.50000	0.00000
4	0.50000	0.75000	0.00000
(0,1/2,1/2) + set click here to show and hide
5	0.25000	0.75000	0.75000
6	0.50000	0.00000	0.75000
(0,3/4,1/4) + set click here to show and hide
7	0.25000	0.00000	0.50000
8	0.50000	0.25000	0.50000
(1/4,0,3/4) + set click here to show and hide
9	0.50000	0.25000	0.00000
10	0.75000	0.50000	0.00000
(1/4,1/4,1/2) + set click here to show and hide
11	0.50000	0.50000	0.75000
12	0.75000	0.75000	0.75000
(1/4,1/2,1/4) + set click here to show and hide
13	0.50000	0.75000	0.50000
14	0.75000	0.00000	0.50000
(1/4,3/4,0) + set click here to show and hide
15	0.50000	0.00000	0.25000
16	0.75000	0.25000	0.25000
(1/2,0,1/2) + set click here to show and hide
17	0.75000	0.25000	0.75000
18	0.00000	0.50000	0.75000
(1/2,1/4,1/4) + set click here to show and hide
19	0.75000	0.50000	0.50000
20	0.00000	0.75000	0.50000
(1/2,1/2,0) + set click here to show and hide
21	0.75000	0.75000	0.25000
22	0.00000	0.00000	0.25000
(1/2,3/4,3/4) + set click here to show and hide
23	0.75000	0.00000	0.00000
24	0.00000	0.25000	0.00000
(3/4,0,1/4) + set click here to show and hide
25	0.00000	0.25000	0.50000
26	0.25000	0.50000	0.50000
(3/4,1/4,0) + set click here to show and hide
27	0.00000	0.50000	0.25000
28	0.25000	0.75000	0.25000
(3/4,1/2,3/4) + set click here to show and hide
29	0.00000	0.75000	0.00000
30	0.25000	0.00000	0.00000
(3/4,3/4,1/2) + set click here to show and hide
31	0.00000	0.00000	0.75000
32	0.25000	0.25000	0.75000

[Hide]

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	32	m_x,m_y,m_z	0.0	0.0	8.8	8.80

[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	0.00000	0.00000	0.00000	m_x,m_y,m_z	0.00000	0.00000	8.80000
2	0.00000	0.25000	0.25000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(0,1/4,3/4) + set click here to show and hide
3	0.00000	0.25000	0.75000	m_x,m_y,m_z	0.00000	0.00000	8.80000
4	0.00000	0.50000	0.00000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(0,1/2,1/2) + set click here to show and hide
5	0.00000	0.50000	0.50000	m_x,m_y,m_z	0.00000	0.00000	8.80000
6	0.00000	0.75000	0.75000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(0,3/4,1/4) + set click here to show and hide
7	0.00000	0.75000	0.25000	m_x,m_y,m_z	0.00000	0.00000	8.80000
8	0.00000	0.00000	0.50000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/4,0,3/4) + set click here to show and hide
9	0.25000	0.00000	0.75000	m_x,m_y,m_z	0.00000	0.00000	8.80000
10	0.25000	0.25000	0.00000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/4,1/4,1/2) + set click here to show and hide
11	0.25000	0.25000	0.50000	m_x,m_y,m_z	0.00000	0.00000	8.80000
12	0.25000	0.50000	0.75000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/4,1/2,1/4) + set click here to show and hide
13	0.25000	0.50000	0.25000	m_x,m_y,m_z	0.00000	0.00000	8.80000
14	0.25000	0.75000	0.50000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/4,3/4,0) + set click here to show and hide
15	0.25000	0.75000	0.00000	m_x,m_y,m_z	0.00000	0.00000	8.80000
16	0.25000	0.00000	0.25000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/2,0,1/2) + set click here to show and hide
17	0.50000	0.00000	0.50000	m_x,m_y,m_z	0.00000	0.00000	8.80000
18	0.50000	0.25000	0.75000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/2,1/4,1/4) + set click here to show and hide
19	0.50000	0.25000	0.25000	m_x,m_y,m_z	0.00000	0.00000	8.80000
20	0.50000	0.50000	0.50000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/2,1/2,0) + set click here to show and hide
21	0.50000	0.50000	0.00000	m_x,m_y,m_z	0.00000	0.00000	8.80000
22	0.50000	0.75000	0.25000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(1/2,3/4,3/4) + set click here to show and hide
23	0.50000	0.75000	0.75000	m_x,m_y,m_z	0.00000	0.00000	8.80000
24	0.50000	0.00000	0.00000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(3/4,0,1/4) + set click here to show and hide
25	0.75000	0.00000	0.25000	m_x,m_y,m_z	0.00000	0.00000	8.80000
26	0.75000	0.25000	0.50000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(3/4,1/4,0) + set click here to show and hide
27	0.75000	0.25000	0.00000	m_x,m_y,m_z	0.00000	0.00000	8.80000
28	0.75000	0.50000	0.25000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(3/4,1/2,3/4) + set click here to show and hide
29	0.75000	0.50000	0.75000	m_x,m_y,m_z	0.00000	0.00000	8.80000
30	0.75000	0.75000	0.00000	m_x,m_z,m_y	0.00000	8.80000	0.00000
(3/4,3/4,1/2) + set click here to show and hide
31	0.75000	0.75000	0.50000	m_x,m_y,m_z	0.00000	0.00000	8.80000
32	0.75000	0.00000	0.75000	m_x,m_z,m_y	0.00000	8.80000	0.00000

[Hide]

label	dim. full irrep	dim. small irrep	direction	action	number of modes
mGM4+	3	3	special-2	primary	2
mL3+	8	2	special-2	primary	1

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

HoP (#2.10)