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,-z+3/4,+1	{ 2₀₁₀ \| 1/2 0 3/4 }
3	x+1/2,-y,-z+3/4,+1	{ 2₁₀₀ \| 1/2 0 3/4 }
4	-x,-y,z,+1	{ 2₀₀₁ \| 0 }
5	-y,x,-z,+1	{ -4^-₀₀₁ \| 0 }
6	y,-x,-z,+1	{ -4⁺₀₀₁ \| 0 }
7	-y+1/2,-x,z+3/4,+1	{ m₁₁₀ \| 1/2 0 3/4 }
8	y+1/2,x,z+3/4,+1	{ m_1-10 \| 1/2 0 3/4 }
(1/2,1/2,1/2) + set click here to show and hide
9	x+1/2,y+1/2,z+1/2,+1	{ 1 \| 1/2 1/2 1/2 }
10	-x,y+1/2,-z+1/4,+1	{ 2₀₁₀ \| 0 1/2 1/4 }
11	x,-y+1/2,-z+1/4,+1	{ 2₁₀₀ \| 0 1/2 1/4 }
12	-x+1/2,-y+1/2,z+1/2,+1	{ 2₀₀₁ \| 1/2 1/2 1/2 }
13	-y+1/2,x+1/2,-z+1/2,+1	{ -4^-₀₀₁ \| 1/2 1/2 1/2 }
14	y+1/2,-x+1/2,-z+1/2,+1	{ -4⁺₀₀₁ \| 1/2 1/2 1/2 }
15	-y,-x+1/2,z+1/4,+1	{ m₁₁₀ \| 0 1/2 1/4 }
16	y,x+1/2,z+1/4,+1	{ m_1-10 \| 0 1/2 1/4 }
(0,0,1/2)' + set click here to show and hide
17	x,y,z+1/2,-1	{ 1' \| 0 0 1/2 }
18	-x+1/2,y,-z+1/4,-1	{ 2'₀₁₀ \| 1/2 0 1/4 }
19	x+1/2,-y,-z+1/4,-1	{ 2'₁₀₀ \| 1/2 0 1/4 }
20	-x,-y,z+1/2,-1	{ 2'₀₀₁ \| 0 0 1/2 }
21	-y,x,-z+1/2,-1	{ -4'^-₀₀₁ \| 0 0 1/2 }
22	y,-x,-z+1/2,-1	{ -4'⁺₀₀₁ \| 0 0 1/2 }
23	-y+1/2,-x,z+1/4,-1	{ m'₁₁₀ \| 1/2 0 1/4 }
24	y+1/2,x,z+1/4,-1	{ m'_1-10 \| 1/2 0 1/4 }
(1/2,1/2,0)' + set click here to show and hide
25	x+1/2,y+1/2,z,-1	{ 1' \| 1/2 1/2 0 }
26	-x,y+1/2,-z+3/4,-1	{ 2'₀₁₀ \| 0 1/2 3/4 }
27	x,-y+1/2,-z+3/4,-1	{ 2'₁₀₀ \| 0 1/2 3/4 }
28	-x+1/2,-y+1/2,z,-1	{ 2'₀₀₁ \| 1/2 1/2 0 }
29	-y+1/2,x+1/2,-z,-1	{ -4'^-₀₀₁ \| 1/2 1/2 0 }
30	y+1/2,-x+1/2,-z,-1	{ -4'⁺₀₀₁ \| 1/2 1/2 0 }
31	-y,-x+1/2,z+3/4,-1	{ m'₁₁₀ \| 0 1/2 3/4 }
32	y,x+1/2,z+3/4,-1	{ m'_1-10 \| 0 1/2 3/4 }

[Hide]

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,x,-z,+1	-4^-₀₀₁
6	y,-x,-z,+1	-4⁺₀₀₁
7	-y,-x,z,+1	m₁₁₀
8	y,x,z,+1	m_1-10
1' + set click here to show and hide
9	x,y,z,-1	1'
10	-x,y,-z,-1	2'₀₁₀
11	x,-y,-z,-1	2'₁₀₀
12	-x,-y,z,-1	2'₀₀₁
13	-y,x,-z,-1	-4'^-₀₀₁
14	y,-x,-z,-1	-4'⁺₀₀₁
15	-y,-x,z,-1	m'₁₁₀
16	y,x,z,-1	m'_1-10

Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Fe1	Fe	0.12500	0.12500	0.06250	32	m_x,m_y,m_z	1.98	0.0	1.98	2.80

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Zn1_1	Zn	0.50000	0.50000	0.25000	8
Zn1_2	Zn	0.25000	0.75000	0.12500	8
O1_1	O	0.88440	0.88440	0.44220	32
O1_2	O	0.63440	0.13440	0.93280	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 Fe1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.12500	0.12500	0.06250	m_x,m_y,m_z	1.98000	0.00000	1.98000
2	0.37500	0.12500	0.68750	-m_x,m_y,-m_z	-1.98000	0.00000	-1.98000
3	0.62500	0.87500	0.68750	m_x,-m_y,-m_z	1.98000	0.00000	-1.98000
4	0.87500	0.87500	0.06250	-m_x,-m_y,m_z	-1.98000	0.00000	1.98000
5	0.87500	0.12500	0.93750	m_y,-m_x,m_z	0.00000	-1.98000	1.98000
6	0.12500	0.87500	0.93750	-m_y,m_x,m_z	0.00000	1.98000	1.98000
7	0.37500	0.87500	0.81250	m_y,m_x,-m_z	0.00000	1.98000	-1.98000
8	0.62500	0.12500	0.81250	-m_y,-m_x,-m_z	0.00000	-1.98000	-1.98000
(1/2,1/2,1/2) + set click here to show and hide
9	0.62500	0.62500	0.56250	m_x,m_y,m_z	1.98000	0.00000	1.98000
10	0.87500	0.62500	0.18750	-m_x,m_y,-m_z	-1.98000	0.00000	-1.98000
11	0.12500	0.37500	0.18750	m_x,-m_y,-m_z	1.98000	0.00000	-1.98000
12	0.37500	0.37500	0.56250	-m_x,-m_y,m_z	-1.98000	0.00000	1.98000
13	0.37500	0.62500	0.43750	m_y,-m_x,m_z	0.00000	-1.98000	1.98000
14	0.62500	0.37500	0.43750	-m_y,m_x,m_z	0.00000	1.98000	1.98000
15	0.87500	0.37500	0.31250	m_y,m_x,-m_z	0.00000	1.98000	-1.98000
16	0.12500	0.62500	0.31250	-m_y,-m_x,-m_z	0.00000	-1.98000	-1.98000
(0,0,1/2)' + set click here to show and hide
17	0.12500	0.12500	0.56250	-m_x,-m_y,-m_z	-1.98000	0.00000	-1.98000
18	0.37500	0.12500	0.18750	m_x,-m_y,m_z	1.98000	0.00000	1.98000
19	0.62500	0.87500	0.18750	-m_x,m_y,m_z	-1.98000	0.00000	1.98000
20	0.87500	0.87500	0.56250	m_x,m_y,-m_z	1.98000	0.00000	-1.98000
21	0.87500	0.12500	0.43750	-m_y,m_x,-m_z	0.00000	1.98000	-1.98000
22	0.12500	0.87500	0.43750	m_y,-m_x,-m_z	0.00000	-1.98000	-1.98000
23	0.37500	0.87500	0.31250	-m_y,-m_x,m_z	0.00000	-1.98000	1.98000
24	0.62500	0.12500	0.31250	m_y,m_x,m_z	0.00000	1.98000	1.98000
(1/2,1/2,0)' + set click here to show and hide
25	0.62500	0.62500	0.06250	-m_x,-m_y,-m_z	-1.98000	0.00000	-1.98000
26	0.87500	0.62500	0.68750	m_x,-m_y,m_z	1.98000	0.00000	1.98000
27	0.12500	0.37500	0.68750	-m_x,m_y,m_z	-1.98000	0.00000	1.98000
28	0.37500	0.37500	0.06250	m_x,m_y,-m_z	1.98000	0.00000	-1.98000
29	0.37500	0.62500	0.93750	-m_y,m_x,-m_z	0.00000	1.98000	-1.98000
30	0.62500	0.37500	0.93750	m_y,-m_x,-m_z	0.00000	-1.98000	-1.98000
31	0.87500	0.37500	0.81250	-m_y,-m_x,m_z	0.00000	-1.98000	1.98000
32	0.12500	0.62500	0.81250	m_y,m_x,m_z	0.00000	1.98000	1.98000

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom Zn1_1:

Atom	x	y	z
1	0.50000	0.50000	0.25000
2	0.00000	0.50000	0.50000
(1/2,1/2,1/2) + set click here to show and hide
3	0.00000	0.00000	0.75000
4	0.50000	0.00000	0.00000
(0,0,1/2)' + set click here to show and hide
5	0.50000	0.50000	0.75000
6	0.00000	0.50000	0.00000
(1/2,1/2,0)' + set click here to show and hide
7	0.00000	0.00000	0.25000
8	0.50000	0.00000	0.50000

Set of atoms in the unit cell related by symmetry with the atom Zn1_2:

Atom	x	y	z
1	0.25000	0.75000	0.12500
2	0.25000	0.25000	0.87500
(1/2,1/2,1/2) + set click here to show and hide
3	0.75000	0.25000	0.62500
4	0.75000	0.75000	0.37500
(0,0,1/2)' + set click here to show and hide
5	0.25000	0.75000	0.62500
6	0.25000	0.25000	0.37500
(1/2,1/2,0)' + set click here to show and hide
7	0.75000	0.25000	0.12500
8	0.75000	0.75000	0.87500

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

Atom	x	y	z
1	0.88440	0.88440	0.44220
2	0.61560	0.88440	0.30780
3	0.38440	0.11560	0.30780
4	0.11560	0.11560	0.44220
5	0.11560	0.88440	0.55780
6	0.88440	0.11560	0.55780
7	0.61560	0.11560	0.19220
8	0.38440	0.88440	0.19220
(1/2,1/2,1/2) + set click here to show and hide
9	0.38440	0.38440	0.94220
10	0.11560	0.38440	0.80780
11	0.88440	0.61560	0.80780
12	0.61560	0.61560	0.94220
13	0.61560	0.38440	0.05780
14	0.38440	0.61560	0.05780
15	0.11560	0.61560	0.69220
16	0.88440	0.38440	0.69220
(0,0,1/2)' + set click here to show and hide
17	0.88440	0.88440	0.94220
18	0.61560	0.88440	0.80780
19	0.38440	0.11560	0.80780
20	0.11560	0.11560	0.94220
21	0.11560	0.88440	0.05780
22	0.88440	0.11560	0.05780
23	0.61560	0.11560	0.69220
24	0.38440	0.88440	0.69220
(1/2,1/2,0)' + set click here to show and hide
25	0.38440	0.38440	0.44220
26	0.11560	0.38440	0.30780
27	0.88440	0.61560	0.30780
28	0.61560	0.61560	0.44220
29	0.61560	0.38440	0.55780
30	0.38440	0.61560	0.55780
31	0.11560	0.61560	0.19220
32	0.88440	0.38440	0.19220

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

Atom	x	y	z
1	0.63440	0.13440	0.93280
2	0.86560	0.13440	0.81720
3	0.13440	0.86560	0.81720
4	0.36560	0.86560	0.93280
5	0.86560	0.63440	0.06720
6	0.13440	0.36560	0.06720
7	0.36560	0.36560	0.68280
8	0.63440	0.63440	0.68280
(1/2,1/2,1/2) + set click here to show and hide
9	0.13440	0.63440	0.43280
10	0.36560	0.63440	0.31720
11	0.63440	0.36560	0.31720
12	0.86560	0.36560	0.43280
13	0.36560	0.13440	0.56720
14	0.63440	0.86560	0.56720
15	0.86560	0.86560	0.18280
16	0.13440	0.13440	0.18280
(0,0,1/2)' + set click here to show and hide
17	0.63440	0.13440	0.43280
18	0.86560	0.13440	0.31720
19	0.13440	0.86560	0.31720
20	0.36560	0.86560	0.43280
21	0.86560	0.63440	0.56720
22	0.13440	0.36560	0.56720
23	0.36560	0.36560	0.18280
24	0.63440	0.63440	0.18280
(1/2,1/2,0)' + set click here to show and hide
25	0.13440	0.63440	0.93280
26	0.36560	0.63440	0.81720
27	0.63440	0.36560	0.81720
28	0.86560	0.36560	0.93280
29	0.36560	0.13440	0.06720
30	0.63440	0.86560	0.06720
31	0.86560	0.86560	0.68280
32	0.13440	0.13440	0.68280

[Hide]

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Fe1	Fe	0.12500	0.12500	0.06250	32	m_x,m_y,m_z	1.98	0.0	1.98	2.80

[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 Fe1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.12500	0.12500	0.06250	m_x,m_y,m_z	1.98000	0.00000	1.98000
2	0.37500	0.12500	0.68750	-m_x,m_y,-m_z	-1.98000	0.00000	-1.98000
3	0.62500	0.87500	0.68750	m_x,-m_y,-m_z	1.98000	0.00000	-1.98000
4	0.87500	0.87500	0.06250	-m_x,-m_y,m_z	-1.98000	0.00000	1.98000
5	0.87500	0.12500	0.93750	m_y,-m_x,m_z	0.00000	-1.98000	1.98000
6	0.12500	0.87500	0.93750	-m_y,m_x,m_z	0.00000	1.98000	1.98000
7	0.37500	0.87500	0.81250	m_y,m_x,-m_z	0.00000	1.98000	-1.98000
8	0.62500	0.12500	0.81250	-m_y,-m_x,-m_z	0.00000	-1.98000	-1.98000
(1/2,1/2,1/2) + set click here to show and hide
9	0.62500	0.62500	0.56250	m_x,m_y,m_z	1.98000	0.00000	1.98000
10	0.87500	0.62500	0.18750	-m_x,m_y,-m_z	-1.98000	0.00000	-1.98000
11	0.12500	0.37500	0.18750	m_x,-m_y,-m_z	1.98000	0.00000	-1.98000
12	0.37500	0.37500	0.56250	-m_x,-m_y,m_z	-1.98000	0.00000	1.98000
13	0.37500	0.62500	0.43750	m_y,-m_x,m_z	0.00000	-1.98000	1.98000
14	0.62500	0.37500	0.43750	-m_y,m_x,m_z	0.00000	1.98000	1.98000
15	0.87500	0.37500	0.31250	m_y,m_x,-m_z	0.00000	1.98000	-1.98000
16	0.12500	0.62500	0.31250	-m_y,-m_x,-m_z	0.00000	-1.98000	-1.98000
(0,0,1/2)' + set click here to show and hide
17	0.12500	0.12500	0.56250	-m_x,-m_y,-m_z	-1.98000	0.00000	-1.98000
18	0.37500	0.12500	0.18750	m_x,-m_y,m_z	1.98000	0.00000	1.98000
19	0.62500	0.87500	0.18750	-m_x,m_y,m_z	-1.98000	0.00000	1.98000
20	0.87500	0.87500	0.56250	m_x,m_y,-m_z	1.98000	0.00000	-1.98000
21	0.87500	0.12500	0.43750	-m_y,m_x,-m_z	0.00000	1.98000	-1.98000
22	0.12500	0.87500	0.43750	m_y,-m_x,-m_z	0.00000	-1.98000	-1.98000
23	0.37500	0.87500	0.31250	-m_y,-m_x,m_z	0.00000	-1.98000	1.98000
24	0.62500	0.12500	0.31250	m_y,m_x,m_z	0.00000	1.98000	1.98000
(1/2,1/2,0)' + set click here to show and hide
25	0.62500	0.62500	0.06250	-m_x,-m_y,-m_z	-1.98000	0.00000	-1.98000
26	0.87500	0.62500	0.68750	m_x,-m_y,m_z	1.98000	0.00000	1.98000
27	0.12500	0.37500	0.68750	-m_x,m_y,m_z	-1.98000	0.00000	1.98000
28	0.37500	0.37500	0.06250	m_x,m_y,-m_z	1.98000	0.00000	-1.98000
29	0.37500	0.62500	0.93750	-m_y,m_x,-m_z	0.00000	1.98000	-1.98000
30	0.62500	0.37500	0.93750	m_y,-m_x,-m_z	0.00000	-1.98000	-1.98000
31	0.87500	0.37500	0.81250	-m_y,-m_x,m_z	0.00000	-1.98000	1.98000
32	0.12500	0.62500	0.81250	m_y,m_x,m_z	0.00000	1.98000	1.98000

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label	dim. full irrep	dim. small irrep	direction	action	number of modes
mW1	12	2	special	primary	3

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

ZnFe₂O₄ (#1.759)

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

ZnFe2O4 (#1.759)

ZnFe₂O₄ (#1.759)