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+1/4,-y+1/4,z+1/2,+1	{ 2₀₀₁ \| 1/4 1/4 1/2 }
3	-x+1/4,-y+1/4,-z,+1	{ -1 \| 1/4 1/4 0 }
4	x,y,-z+1/2,+1	{ m₀₀₁ \| 0 0 1/2 }
(1/4,3/4,0) + set click here to show and hide
5	x+1/4,y+3/4,z,+1	{ 1 \| 1/4 3/4 0 }
6	-x+1/2,-y,z+1/2,+1	{ 2₀₀₁ \| 1/2 0 1/2 }
7	-x+1/2,-y,-z,+1	{ -1 \| 1/2 0 0 }
8	x+1/4,y+3/4,-z+1/2,+1	{ m₀₀₁ \| 1/4 3/4 1/2 }
(1/2,1/2,0) + set click here to show and hide
9	x+1/2,y+1/2,z,+1	{ 1 \| 1/2 1/2 0 }
10	-x+3/4,-y+3/4,z+1/2,+1	{ 2₀₀₁ \| 3/4 3/4 1/2 }
11	-x+3/4,-y+3/4,-z,+1	{ -1 \| 3/4 3/4 0 }
12	x+1/2,y+1/2,-z+1/2,+1	{ m₀₀₁ \| 1/2 1/2 1/2 }
(3/4,1/4,0) + set click here to show and hide
13	x+3/4,y+1/4,z,+1	{ 1 \| 3/4 1/4 0 }
14	-x,-y+1/2,z+1/2,+1	{ 2₀₀₁ \| 0 1/2 1/2 }
15	-x,-y+1/2,-z,+1	{ -1 \| 0 1/2 0 }
16	x+3/4,y+1/4,-z+1/2,+1	{ m₀₀₁ \| 3/4 1/4 1/2 }
(1/4,1/4,0)' + set click here to show and hide
17	x+1/4,y+1/4,z,-1	{ 1' \| 1/4 1/4 0 }
18	-x+1/2,-y+1/2,z+1/2,-1	{ 2'₀₀₁ \| 1/2 1/2 1/2 }
19	-x+1/2,-y+1/2,-z,-1	{ -1' \| 1/2 1/2 0 }
20	x+1/4,y+1/4,-z+1/2,-1	{ m'₀₀₁ \| 1/4 1/4 1/2 }
(1/2,0,0)' + set click here to show and hide
21	x+1/2,y,z,-1	{ 1' \| 1/2 0 0 }
22	-x+3/4,-y+1/4,z+1/2,-1	{ 2'₀₀₁ \| 3/4 1/4 1/2 }
23	-x+3/4,-y+1/4,-z,-1	{ -1' \| 3/4 1/4 0 }
24	x+1/2,y,-z+1/2,-1	{ m'₀₀₁ \| 1/2 0 1/2 }
(3/4,3/4,0)' + set click here to show and hide
25	x+3/4,y+3/4,z,-1	{ 1' \| 3/4 3/4 0 }
26	-x,-y,z+1/2,-1	{ 2'₀₀₁ \| 0 0 1/2 }
27	-x,-y,-z,-1	{ -1' \| 0 }
28	x+3/4,y+3/4,-z+1/2,-1	{ m'₀₀₁ \| 3/4 3/4 1/2 }
(0,1/2,0)' + set click here to show and hide
29	x,y+1/2,z,-1	{ 1' \| 0 1/2 0 }
30	-x+1/4,-y+3/4,z+1/2,-1	{ 2'₀₀₁ \| 1/4 3/4 1/2 }
31	-x+1/4,-y+3/4,-z,-1	{ -1' \| 1/4 3/4 0 }
32	x,y+1/2,-z+1/2,-1	{ m'₀₀₁ \| 0 1/2 1/2 }

[Hide]

N	(x,y,z)	Seitz notation
1	x,y,z,+1	1
2	-x,-y,z,+1	2₀₀₁
3	-x,-y,-z,+1	-1
4	x,y,-z,+1	m₀₀₁
1' + set click here to show and hide
5	x,y,z,-1	1'
6	-x,-y,z,-1	2'₀₀₁
7	-x,-y,-z,-1	-1'
8	x,y,-z,-1	m'₀₀₁

Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Co1	Co	0.00000	0.09555	0.25000	16	0,0,m_z	0.0	0.0	2.72(1)	2.72

Non-magnetic atoms:

Label	Atom type	y	z	Multiplicity
O1	O	0.39265	0.25000	16
O2	O	0.02305	0.11290	32
O3	O	0.15745	0.05960	32
Ti1	Ti	0.06680	0.56770	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 Co1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.09555	0.25000	0,0,m_z	0.00000	0.00000	2.72000
2	0.25000	0.15445	0.75000	0,0,m_z	0.00000	0.00000	2.72000
(1/4,3/4,0) + set click here to show and hide
3	0.25000	0.84555	0.25000	0,0,m_z	0.00000	0.00000	2.72000
4	0.50000	0.90445	0.75000	0,0,m_z	0.00000	0.00000	2.72000
(1/2,1/2,0) + set click here to show and hide
5	0.50000	0.59555	0.25000	0,0,m_z	0.00000	0.00000	2.72000
6	0.75000	0.65445	0.75000	0,0,m_z	0.00000	0.00000	2.72000
(3/4,1/4,0) + set click here to show and hide
7	0.75000	0.34555	0.25000	0,0,m_z	0.00000	0.00000	2.72000
8	0.00000	0.40445	0.75000	0,0,m_z	0.00000	0.00000	2.72000
(1/4,1/4,0)' + set click here to show and hide
9	0.25000	0.34555	0.25000	0,0,-m_z	0.00000	0.00000	-2.72000
10	0.50000	0.40445	0.75000	0,0,-m_z	0.00000	0.00000	-2.72000
(1/2,0,0)' + set click here to show and hide
11	0.50000	0.09555	0.25000	0,0,-m_z	0.00000	0.00000	-2.72000
12	0.75000	0.15445	0.75000	0,0,-m_z	0.00000	0.00000	-2.72000
(3/4,3/4,0)' + set click here to show and hide
13	0.75000	0.84555	0.25000	0,0,-m_z	0.00000	0.00000	-2.72000
14	0.00000	0.90445	0.75000	0,0,-m_z	0.00000	0.00000	-2.72000
(0,1/2,0)' + set click here to show and hide
15	0.00000	0.59555	0.25000	0,0,-m_z	0.00000	0.00000	-2.72000
16	0.25000	0.65445	0.75000	0,0,-m_z	0.00000	0.00000	-2.72000

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom O1:

Atom	x	y	z
1	0.00000	0.39265	0.25000
2	0.25000	0.85735	0.75000
(1/4,3/4,0) + set click here to show and hide
3	0.25000	0.14265	0.25000
4	0.50000	0.60735	0.75000
(1/2,1/2,0) + set click here to show and hide
5	0.50000	0.89265	0.25000
6	0.75000	0.35735	0.75000
(3/4,1/4,0) + set click here to show and hide
7	0.75000	0.64265	0.25000
8	0.00000	0.10735	0.75000
(1/4,1/4,0)' + set click here to show and hide
9	0.25000	0.64265	0.25000
10	0.50000	0.10735	0.75000
(1/2,0,0)' + set click here to show and hide
11	0.50000	0.39265	0.25000
12	0.75000	0.85735	0.75000
(3/4,3/4,0)' + set click here to show and hide
13	0.75000	0.14265	0.25000
14	0.00000	0.60735	0.75000
(0,1/2,0)' + set click here to show and hide
15	0.00000	0.89265	0.25000
16	0.25000	0.35735	0.75000

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

Atom	x	y	z
1	0.00000	0.02305	0.11290
2	0.25000	0.22695	0.61290
3	0.25000	0.22695	0.88710
4	0.00000	0.02305	0.38710
(1/4,3/4,0) + set click here to show and hide
5	0.25000	0.77305	0.11290
6	0.50000	0.97695	0.61290
7	0.50000	0.97695	0.88710
8	0.25000	0.77305	0.38710
(1/2,1/2,0) + set click here to show and hide
9	0.50000	0.52305	0.11290
10	0.75000	0.72695	0.61290
11	0.75000	0.72695	0.88710
12	0.50000	0.52305	0.38710
(3/4,1/4,0) + set click here to show and hide
13	0.75000	0.27305	0.11290
14	0.00000	0.47695	0.61290
15	0.00000	0.47695	0.88710
16	0.75000	0.27305	0.38710
(1/4,1/4,0)' + set click here to show and hide
17	0.25000	0.27305	0.11290
18	0.50000	0.47695	0.61290
19	0.50000	0.47695	0.88710
20	0.25000	0.27305	0.38710
(1/2,0,0)' + set click here to show and hide
21	0.50000	0.02305	0.11290
22	0.75000	0.22695	0.61290
23	0.75000	0.22695	0.88710
24	0.50000	0.02305	0.38710
(3/4,3/4,0)' + set click here to show and hide
25	0.75000	0.77305	0.11290
26	0.00000	0.97695	0.61290
27	0.00000	0.97695	0.88710
28	0.75000	0.77305	0.38710
(0,1/2,0)' + set click here to show and hide
29	0.00000	0.52305	0.11290
30	0.25000	0.72695	0.61290
31	0.25000	0.72695	0.88710
32	0.00000	0.52305	0.38710

Set of atoms in the unit cell related by symmetry with the atom O3:

Atom	x	y	z
1	0.00000	0.15745	0.05960
2	0.25000	0.09255	0.55960
3	0.25000	0.09255	0.94040
4	0.00000	0.15745	0.44040
(1/4,3/4,0) + set click here to show and hide
5	0.25000	0.90745	0.05960
6	0.50000	0.84255	0.55960
7	0.50000	0.84255	0.94040
8	0.25000	0.90745	0.44040
(1/2,1/2,0) + set click here to show and hide
9	0.50000	0.65745	0.05960
10	0.75000	0.59255	0.55960
11	0.75000	0.59255	0.94040
12	0.50000	0.65745	0.44040
(3/4,1/4,0) + set click here to show and hide
13	0.75000	0.40745	0.05960
14	0.00000	0.34255	0.55960
15	0.00000	0.34255	0.94040
16	0.75000	0.40745	0.44040
(1/4,1/4,0)' + set click here to show and hide
17	0.25000	0.40745	0.05960
18	0.50000	0.34255	0.55960
19	0.50000	0.34255	0.94040
20	0.25000	0.40745	0.44040
(1/2,0,0)' + set click here to show and hide
21	0.50000	0.15745	0.05960
22	0.75000	0.09255	0.55960
23	0.75000	0.09255	0.94040
24	0.50000	0.15745	0.44040
(3/4,3/4,0)' + set click here to show and hide
25	0.75000	0.90745	0.05960
26	0.00000	0.84255	0.55960
27	0.00000	0.84255	0.94040
28	0.75000	0.90745	0.44040
(0,1/2,0)' + set click here to show and hide
29	0.00000	0.65745	0.05960
30	0.25000	0.59255	0.55960
31	0.25000	0.59255	0.94040
32	0.00000	0.65745	0.44040

Set of atoms in the unit cell related by symmetry with the atom Ti1:

Atom	x	y	z
1	0.00000	0.06680	0.56770
2	0.25000	0.18320	0.06770
3	0.25000	0.18320	0.43230
4	0.00000	0.06680	0.93230
(1/4,3/4,0) + set click here to show and hide
5	0.25000	0.81680	0.56770
6	0.50000	0.93320	0.06770
7	0.50000	0.93320	0.43230
8	0.25000	0.81680	0.93230
(1/2,1/2,0) + set click here to show and hide
9	0.50000	0.56680	0.56770
10	0.75000	0.68320	0.06770
11	0.75000	0.68320	0.43230
12	0.50000	0.56680	0.93230
(3/4,1/4,0) + set click here to show and hide
13	0.75000	0.31680	0.56770
14	0.00000	0.43320	0.06770
15	0.00000	0.43320	0.43230
16	0.75000	0.31680	0.93230
(1/4,1/4,0)' + set click here to show and hide
17	0.25000	0.31680	0.56770
18	0.50000	0.43320	0.06770
19	0.50000	0.43320	0.43230
20	0.25000	0.31680	0.93230
(1/2,0,0)' + set click here to show and hide
21	0.50000	0.06680	0.56770
22	0.75000	0.18320	0.06770
23	0.75000	0.18320	0.43230
24	0.50000	0.06680	0.93230
(3/4,3/4,0)' + set click here to show and hide
25	0.75000	0.81680	0.56770
26	0.00000	0.93320	0.06770
27	0.00000	0.93320	0.43230
28	0.75000	0.81680	0.93230
(0,1/2,0)' + set click here to show and hide
29	0.00000	0.56680	0.56770
30	0.25000	0.68320	0.06770
31	0.25000	0.68320	0.43230
32	0.00000	0.56680	0.93230

[Hide]

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Co1	Co	0.00000	0.09555	0.25000	16	0,0,m_z	0.0	0.0	2.72(1)	2.72

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

label	dim. small irrep	dim. full irrep	action	number of modes
mS2-	1	2	primary	1

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

CoTi₂O₅ (#1.478)

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

CoTi2O5 (#1.478)

CoTi₂O₅ (#1.478)