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,z+1/4,+1	{ m₀₁₀ \| 1/4 0 1/4 }
(0,1/2,1/2) + set click here to show and hide
3	x,y+1/2,z+1/2,+1	{ 1 \| 0 1/2 1/2 }
4	x+1/4,-y+1/2,z+3/4,+1	{ m₀₁₀ \| 1/4 1/2 3/4 }
(1/2,0,1/2) + set click here to show and hide
5	x+1/2,y,z+1/2,+1	{ 1 \| 1/2 0 1/2 }
6	x+3/4,-y,z+3/4,+1	{ m₀₁₀ \| 3/4 0 3/4 }
(1/2,1/2,0) + set click here to show and hide
7	x+1/2,y+1/2,z,+1	{ 1 \| 1/2 1/2 0 }
8	x+3/4,-y+1/2,z+1/4,+1	{ m₀₁₀ \| 3/4 1/2 1/4 }
(0,0,1/2)' + set click here to show and hide
9	x,y,z+1/2,-1	{ 1' \| 0 0 1/2 }
10	x+1/4,-y,z+3/4,-1	{ m'₀₁₀ \| 1/4 0 3/4 }
(0,1/2,0)' + set click here to show and hide
11	x,y+1/2,z,-1	{ 1' \| 0 1/2 0 }
12	x+1/4,-y+1/2,z+1/4,-1	{ m'₀₁₀ \| 1/4 1/2 1/4 }
(1/2,0,0)' + set click here to show and hide
13	x+1/2,y,z,-1	{ 1' \| 1/2 0 0 }
14	x+3/4,-y,z+1/4,-1	{ m'₀₁₀ \| 3/4 0 1/4 }
(1/2,1/2,1/2)' + set click here to show and hide
15	x+1/2,y+1/2,z+1/2,-1	{ 1' \| 1/2 1/2 1/2 }
16	x+3/4,-y+1/2,z+3/4,-1	{ m'₀₁₀ \| 3/4 1/2 3/4 }

[Hide]

N	(x,y,z)	Seitz notation
1	x,y,z,+1	1
2	x,-y,z,+1	m₀₁₀
1' + set click here to show and hide
3	x,y,z,-1	1'
4	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\|
Mn1	Mn	0.00000	0.08725	0.25000	16	m_x,m_y,m_z	1.75(3)	2.45(4)	3.86(2)	4.90

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Li1_1	Li	0.12495	0.16550	0.00010	16
Li1_2	Li	0.12505	0.83450	0.25010	16
Ge1	Ge	0.00000	0.41095	0.00480	16
O1_1	O	0.11135	0.33645	0.44665	16
O1_2	O	0.13865	0.66355	0.69665	16
O2	O	0.00000	0.06645	0.45415	16
O3	O	0.00000	0.40895	0.17920	16

[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 Mn1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.08725	0.25000	m_x,m_y,m_z	1.75000	2.45000	3.86000
2	0.25000	0.91275	0.50000	-m_x,m_y,-m_z	-1.75000	2.45000	-3.86000
(0,1/2,1/2) + set click here to show and hide
3	0.00000	0.58725	0.75000	m_x,m_y,m_z	1.75000	2.45000	3.86000
4	0.25000	0.41275	0.00000	-m_x,m_y,-m_z	-1.75000	2.45000	-3.86000
(1/2,0,1/2) + set click here to show and hide
5	0.50000	0.08725	0.75000	m_x,m_y,m_z	1.75000	2.45000	3.86000
6	0.75000	0.91275	0.00000	-m_x,m_y,-m_z	-1.75000	2.45000	-3.86000
(1/2,1/2,0) + set click here to show and hide
7	0.50000	0.58725	0.25000	m_x,m_y,m_z	1.75000	2.45000	3.86000
8	0.75000	0.41275	0.50000	-m_x,m_y,-m_z	-1.75000	2.45000	-3.86000
(0,0,1/2)' + set click here to show and hide
9	0.00000	0.08725	0.75000	-m_x,-m_y,-m_z	-1.75000	-2.45000	-3.86000
10	0.25000	0.91275	0.00000	m_x,-m_y,m_z	1.75000	-2.45000	3.86000
(0,1/2,0)' + set click here to show and hide
11	0.00000	0.58725	0.25000	-m_x,-m_y,-m_z	-1.75000	-2.45000	-3.86000
12	0.25000	0.41275	0.50000	m_x,-m_y,m_z	1.75000	-2.45000	3.86000
(1/2,0,0)' + set click here to show and hide
13	0.50000	0.08725	0.25000	-m_x,-m_y,-m_z	-1.75000	-2.45000	-3.86000
14	0.75000	0.91275	0.50000	m_x,-m_y,m_z	1.75000	-2.45000	3.86000
(1/2,1/2,1/2)' + set click here to show and hide
15	0.50000	0.58725	0.75000	-m_x,-m_y,-m_z	-1.75000	-2.45000	-3.86000
16	0.75000	0.41275	0.00000	m_x,-m_y,m_z	1.75000	-2.45000	3.86000

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom Li1_1:

Atom	x	y	z
1	0.12495	0.16550	0.00010
2	0.37495	0.83450	0.25010
(0,1/2,1/2) + set click here to show and hide
3	0.12495	0.66550	0.50010
4	0.37495	0.33450	0.75010
(1/2,0,1/2) + set click here to show and hide
5	0.62495	0.16550	0.50010
6	0.87495	0.83450	0.75010
(1/2,1/2,0) + set click here to show and hide
7	0.62495	0.66550	0.00010
8	0.87495	0.33450	0.25010
(0,0,1/2)' + set click here to show and hide
9	0.12495	0.16550	0.50010
10	0.37495	0.83450	0.75010
(0,1/2,0)' + set click here to show and hide
11	0.12495	0.66550	0.00010
12	0.37495	0.33450	0.25010
(1/2,0,0)' + set click here to show and hide
13	0.62495	0.16550	0.00010
14	0.87495	0.83450	0.25010
(1/2,1/2,1/2)' + set click here to show and hide
15	0.62495	0.66550	0.50010
16	0.87495	0.33450	0.75010

Set of atoms in the unit cell related by symmetry with the atom Li1_2:

Atom	x	y	z
1	0.12505	0.83450	0.25010
2	0.37505	0.16550	0.50010
(0,1/2,1/2) + set click here to show and hide
3	0.12505	0.33450	0.75010
4	0.37505	0.66550	0.00000
(1/2,0,1/2) + set click here to show and hide
5	0.62505	0.83450	0.75010
6	0.87505	0.16550	0.00000
(1/2,1/2,0) + set click here to show and hide
7	0.62505	0.33450	0.25010
8	0.87505	0.66550	0.50010
(0,0,1/2)' + set click here to show and hide
9	0.12505	0.83450	0.75010
10	0.37505	0.16550	0.00000
(0,1/2,0)' + set click here to show and hide
11	0.12505	0.33450	0.25010
12	0.37505	0.66550	0.50010
(1/2,0,0)' + set click here to show and hide
13	0.62505	0.83450	0.25010
14	0.87505	0.16550	0.50010
(1/2,1/2,1/2)' + set click here to show and hide
15	0.62505	0.33450	0.75010
16	0.87505	0.66550	0.00000

Set of atoms in the unit cell related by symmetry with the atom Ge1:

Atom	x	y	z
1	0.00000	0.41095	0.00480
2	0.25000	0.58905	0.25480
(0,1/2,1/2) + set click here to show and hide
3	0.00000	0.91095	0.50480
4	0.25000	0.08905	0.75480
(1/2,0,1/2) + set click here to show and hide
5	0.50000	0.41095	0.50480
6	0.75000	0.58905	0.75480
(1/2,1/2,0) + set click here to show and hide
7	0.50000	0.91095	0.00480
8	0.75000	0.08905	0.25480
(0,0,1/2)' + set click here to show and hide
9	0.00000	0.41095	0.50480
10	0.25000	0.58905	0.75480
(0,1/2,0)' + set click here to show and hide
11	0.00000	0.91095	0.00480
12	0.25000	0.08905	0.25480
(1/2,0,0)' + set click here to show and hide
13	0.50000	0.41095	0.00480
14	0.75000	0.58905	0.25480
(1/2,1/2,1/2)' + set click here to show and hide
15	0.50000	0.91095	0.50480
16	0.75000	0.08905	0.75480

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

Atom	x	y	z
1	0.11135	0.33645	0.44665
2	0.36135	0.66355	0.69665
(0,1/2,1/2) + set click here to show and hide
3	0.11135	0.83645	0.94665
4	0.36135	0.16355	0.19665
(1/2,0,1/2) + set click here to show and hide
5	0.61135	0.33645	0.94665
6	0.86135	0.66355	0.19665
(1/2,1/2,0) + set click here to show and hide
7	0.61135	0.83645	0.44665
8	0.86135	0.16355	0.69665
(0,0,1/2)' + set click here to show and hide
9	0.11135	0.33645	0.94665
10	0.36135	0.66355	0.19665
(0,1/2,0)' + set click here to show and hide
11	0.11135	0.83645	0.44665
12	0.36135	0.16355	0.69665
(1/2,0,0)' + set click here to show and hide
13	0.61135	0.33645	0.44665
14	0.86135	0.66355	0.69665
(1/2,1/2,1/2)' + set click here to show and hide
15	0.61135	0.83645	0.94665
16	0.86135	0.16355	0.19665

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

Atom	x	y	z
1	0.13865	0.66355	0.69665
2	0.38865	0.33645	0.94665
(0,1/2,1/2) + set click here to show and hide
3	0.13865	0.16355	0.19665
4	0.38865	0.83645	0.44665
(1/2,0,1/2) + set click here to show and hide
5	0.63865	0.66355	0.19665
6	0.88865	0.33645	0.44665
(1/2,1/2,0) + set click here to show and hide
7	0.63865	0.16355	0.69665
8	0.88865	0.83645	0.94665
(0,0,1/2)' + set click here to show and hide
9	0.13865	0.66355	0.19665
10	0.38865	0.33645	0.44665
(0,1/2,0)' + set click here to show and hide
11	0.13865	0.16355	0.69665
12	0.38865	0.83645	0.94665
(1/2,0,0)' + set click here to show and hide
13	0.63865	0.66355	0.69665
14	0.88865	0.33645	0.94665
(1/2,1/2,1/2)' + set click here to show and hide
15	0.63865	0.16355	0.19665
16	0.88865	0.83645	0.44665

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

Atom	x	y	z
1	0.00000	0.06645	0.45415
2	0.25000	0.93355	0.70415
(0,1/2,1/2) + set click here to show and hide
3	0.00000	0.56645	0.95415
4	0.25000	0.43355	0.20415
(1/2,0,1/2) + set click here to show and hide
5	0.50000	0.06645	0.95415
6	0.75000	0.93355	0.20415
(1/2,1/2,0) + set click here to show and hide
7	0.50000	0.56645	0.45415
8	0.75000	0.43355	0.70415
(0,0,1/2)' + set click here to show and hide
9	0.00000	0.06645	0.95415
10	0.25000	0.93355	0.20415
(0,1/2,0)' + set click here to show and hide
11	0.00000	0.56645	0.45415
12	0.25000	0.43355	0.70415
(1/2,0,0)' + set click here to show and hide
13	0.50000	0.06645	0.45415
14	0.75000	0.93355	0.70415
(1/2,1/2,1/2)' + set click here to show and hide
15	0.50000	0.56645	0.95415
16	0.75000	0.43355	0.20415

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

Atom	x	y	z
1	0.00000	0.40895	0.17920
2	0.25000	0.59105	0.42920
(0,1/2,1/2) + set click here to show and hide
3	0.00000	0.90895	0.67920
4	0.25000	0.09105	0.92920
(1/2,0,1/2) + set click here to show and hide
5	0.50000	0.40895	0.67920
6	0.75000	0.59105	0.92920
(1/2,1/2,0) + set click here to show and hide
7	0.50000	0.90895	0.17920
8	0.75000	0.09105	0.42920
(0,0,1/2)' + set click here to show and hide
9	0.00000	0.40895	0.67920
10	0.25000	0.59105	0.92920
(0,1/2,0)' + set click here to show and hide
11	0.00000	0.90895	0.17920
12	0.25000	0.09105	0.42920
(1/2,0,0)' + set click here to show and hide
13	0.50000	0.40895	0.17920
14	0.75000	0.59105	0.42920
(1/2,1/2,1/2)' + set click here to show and hide
15	0.50000	0.90895	0.67920
16	0.75000	0.09105	0.92920

[Hide]

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Mn1	Mn	0.00000	0.08725	0.25000	16	m_x,m_y,m_z	1.75(3)	2.45(4)	3.86(2)	4.90

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

label	dim. full irrep	dim. small irrep	direction	action	number of modes
mR1	2	2	special	primary	3

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

Li₂MnGeO₄ (#1.484)

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

Li2MnGeO4 (#1.484)

Li₂MnGeO₄ (#1.484)