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

[Hide]

N	(x,y,z)	Seitz notation
1	x,y,z,+1	1
2	-y,x-y,z,+1	3⁺₀₀₁
3	-x+y,-x,z,+1	3^-₀₀₁
4	-x,-y,-z,+1	-1
5	y,-x+y,-z,+1	-3⁺₀₀₁
6	x-y,x,-z,+1	-3^-₀₀₁
7	x-y,-y,-z,-1	2'₁₀₀
8	y,x,-z,-1	2'₁₁₀
9	-x,-x+y,-z,-1	2'₀₁₀
10	-x+y,y,z,-1	m'₁₀₀
11	-y,-x,z,-1	m'₁₁₀
12	x,x-y,z,-1	m'₀₁₀

Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_z	\|M\|
Co1	Co	0.00000	0.00000	0.50000	3	0,0,m_z	0.88(8)	0.88
Co2	Co	0.00000	0.00000	0.33400	6	0,0,m_z	-0.11(5)	0.11
Co3	Co	0.49920	0.50080	0.08160	18	m_x,-m_x,m_z	0.79(3)	0.79

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Y1	Y	0.00000	0.00000	0.00000	3
Y2	Y	0.00000	0.00000	0.14230	6

[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	0.00000	0.50000	0,0,m_z	0.00000	0.00000	0.88000
(1/3,2/3,2/3) + set click here to show and hide
2	0.33333	0.66667	0.16667	0,0,m_z	0.00000	0.00000	0.88000
(2/3,1/3,1/3) + set click here to show and hide
3	0.66667	0.33333	0.83333	0,0,m_z	0.00000	0.00000	0.88000

Set of atoms in the unit cell related by symmetry with the magnetic atom Co2:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.33400	0,0,m_z	0.00000	0.00000	-0.11000
2	0.00000	0.00000	0.66600	0,0,m_z	0.00000	0.00000	-0.11000
(1/3,2/3,2/3) + set click here to show and hide
3	0.33333	0.66667	0.00067	0,0,m_z	0.00000	0.00000	-0.11000
4	0.33333	0.66667	0.33267	0,0,m_z	0.00000	0.00000	-0.11000
(2/3,1/3,1/3) + set click here to show and hide
5	0.66667	0.33333	0.66733	0,0,m_z	0.00000	0.00000	-0.11000
6	0.66667	0.33333	0.99933	0,0,m_z	0.00000	0.00000	-0.11000

Set of atoms in the unit cell related by symmetry with the magnetic atom Co3:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.49920	0.50080	0.08160	m_x,-m_x,m_z	0.00000	0.00000	0.79000
2	0.49920	0.99840	0.08160	m_x,2m_x,m_z	0.00000	0.00000	0.79000
3	0.00160	0.50080	0.08160	-2m_x,-m_x,m_z	0.00000	0.00000	0.79000
4	0.50080	0.49920	0.91840	m_x,-m_x,m_z	0.00000	0.00000	0.79000
5	0.50080	0.00160	0.91840	m_x,2m_x,m_z	0.00000	0.00000	0.79000
6	0.99840	0.49920	0.91840	-2m_x,-m_x,m_z	0.00000	0.00000	0.79000
(1/3,2/3,2/3) + set click here to show and hide
7	0.83253	0.16747	0.74827	m_x,-m_x,m_z	0.00000	0.00000	0.79000
8	0.83253	0.66507	0.74827	m_x,2m_x,m_z	0.00000	0.00000	0.79000
9	0.33493	0.16747	0.74827	-2m_x,-m_x,m_z	0.00000	0.00000	0.79000
10	0.83413	0.16587	0.58507	m_x,-m_x,m_z	0.00000	0.00000	0.79000
11	0.83413	0.66827	0.58507	m_x,2m_x,m_z	0.00000	0.00000	0.79000
12	0.33173	0.16587	0.58507	-2m_x,-m_x,m_z	0.00000	0.00000	0.79000
(2/3,1/3,1/3) + set click here to show and hide
13	0.16587	0.83413	0.41493	m_x,-m_x,m_z	0.00000	0.00000	0.79000
14	0.16587	0.33173	0.41493	m_x,2m_x,m_z	0.00000	0.00000	0.79000
15	0.66827	0.83413	0.41493	-2m_x,-m_x,m_z	0.00000	0.00000	0.79000
16	0.16747	0.83253	0.25173	m_x,-m_x,m_z	0.00000	0.00000	0.79000
17	0.16747	0.33493	0.25173	m_x,2m_x,m_z	0.00000	0.00000	0.79000
18	0.66507	0.83253	0.25173	-2m_x,-m_x,m_z	0.00000	0.00000	0.79000

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom Y1:

Atom	x	y	z
1	0.00000	0.00000	0.00000
(1/3,2/3,2/3) + set click here to show and hide
2	0.33333	0.66667	0.66667
(2/3,1/3,1/3) + set click here to show and hide
3	0.66667	0.33333	0.33333

Set of atoms in the unit cell related by symmetry with the atom Y2:

Atom	x	y	z
1	0.00000	0.00000	0.14230
2	0.00000	0.00000	0.85770
(1/3,2/3,2/3) + set click here to show and hide
3	0.33333	0.66667	0.80897
4	0.33333	0.66667	0.52437
(2/3,1/3,1/3) + set click here to show and hide
5	0.66667	0.33333	0.47563
6	0.66667	0.33333	0.19103

[Hide]

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_z	\|M\|
Co1	Co	0.00000	0.00000	0.50000	3	0,0,m_z	0.88(8)	0.88
Co2	Co	0.00000	0.00000	0.33400	6	0,0,m_z	-0.11(5)	0.11
Co3	Co	0.49920	0.50080	0.08160	18	m_x,-m_x,m_z	0.79(3)	0.79

[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 Co1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.50000	0,0,m_z	0.00000	0.00000	0.88000
(1/3,2/3,2/3) + set click here to show and hide
2	0.33333	0.66667	0.16667	0,0,m_z	0.00000	0.00000	0.88000
(2/3,1/3,1/3) + set click here to show and hide
3	0.66667	0.33333	0.83333	0,0,m_z	0.00000	0.00000	0.88000

Set of atoms in the unit cell related by symmetry with the magnetic atom Co2:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.33400	0,0,m_z	0.00000	0.00000	-0.11000
2	0.00000	0.00000	0.66600	0,0,m_z	0.00000	0.00000	-0.11000
(1/3,2/3,2/3) + set click here to show and hide
3	0.33333	0.66667	0.00067	0,0,m_z	0.00000	0.00000	-0.11000
4	0.33333	0.66667	0.33267	0,0,m_z	0.00000	0.00000	-0.11000
(2/3,1/3,1/3) + set click here to show and hide
5	0.66667	0.33333	0.66733	0,0,m_z	0.00000	0.00000	-0.11000
6	0.66667	0.33333	0.99933	0,0,m_z	0.00000	0.00000	-0.11000

Set of atoms in the unit cell related by symmetry with the magnetic atom Co3:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.49920	0.50080	0.08160	m_x,-m_x,m_z	0.00000	0.00000	0.79000
2	0.49920	0.99840	0.08160	m_x,2m_x,m_z	0.00000	0.00000	0.79000
3	0.00160	0.50080	0.08160	-2m_x,-m_x,m_z	0.00000	0.00000	0.79000
4	0.50080	0.49920	0.91840	m_x,-m_x,m_z	0.00000	0.00000	0.79000
5	0.50080	0.00160	0.91840	m_x,2m_x,m_z	0.00000	0.00000	0.79000
6	0.99840	0.49920	0.91840	-2m_x,-m_x,m_z	0.00000	0.00000	0.79000
(1/3,2/3,2/3) + set click here to show and hide
7	0.83253	0.16747	0.74827	m_x,-m_x,m_z	0.00000	0.00000	0.79000
8	0.83253	0.66507	0.74827	m_x,2m_x,m_z	0.00000	0.00000	0.79000
9	0.33493	0.16747	0.74827	-2m_x,-m_x,m_z	0.00000	0.00000	0.79000
10	0.83413	0.16587	0.58507	m_x,-m_x,m_z	0.00000	0.00000	0.79000
11	0.83413	0.66827	0.58507	m_x,2m_x,m_z	0.00000	0.00000	0.79000
12	0.33173	0.16587	0.58507	-2m_x,-m_x,m_z	0.00000	0.00000	0.79000
(2/3,1/3,1/3) + set click here to show and hide
13	0.16587	0.83413	0.41493	m_x,-m_x,m_z	0.00000	0.00000	0.79000
14	0.16587	0.33173	0.41493	m_x,2m_x,m_z	0.00000	0.00000	0.79000
15	0.66827	0.83413	0.41493	-2m_x,-m_x,m_z	0.00000	0.00000	0.79000
16	0.16747	0.83253	0.25173	m_x,-m_x,m_z	0.00000	0.00000	0.79000
17	0.16747	0.33493	0.25173	m_x,2m_x,m_z	0.00000	0.00000	0.79000
18	0.66507	0.83253	0.25173	-2m_x,-m_x,m_z	0.00000	0.00000	0.79000

[Hide]

label	dim. small irrep	dim. full irrep	action	number of modes
mGM2+	1	1	primary	4

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

YCo₃ (#0.859)

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

YCo3 (#0.859)

YCo₃ (#0.859)