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]

Symmetry operations of the magnetic point group in the setting used:

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

[Hide]

Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Nd1	Nd	0.50000	0.00000	0.00000	9	m_x,2m_x,m_z	0.88	1.76	-0.93	1.79

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Mg1	Mg	0.00000	0.00000	0.50000	3
Mg2	Mg	0.00000	0.00000	0.00000	3
Sb1	Sb	0.50000	0.00000	0.50000	9
O1	O	0.00000	0.00000	0.60300	6
O2	O	0.53600	0.46400	0.38800	18
O3	O	0.47500	0.52500	0.85900	18

[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 Nd1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.50000	0.00000	0.00000	m_x,2m_x,m_z	0.88000	1.76000	-0.93000
2	0.00000	0.50000	0.00000	-2m_x,-m_x,m_z	-1.76000	-0.88000	-0.93000
3	0.50000	0.50000	0.00000	m_x,-m_x,m_z	0.88000	-0.88000	-0.93000
(1/3,2/3,2/3) + set click here to show and hide
4	0.83333	0.66667	0.66667	m_x,2m_x,m_z	0.88000	1.76000	-0.93000
5	0.33333	0.16667	0.66667	-2m_x,-m_x,m_z	-1.76000	-0.88000	-0.93000
6	0.83333	0.16667	0.66667	m_x,-m_x,m_z	0.88000	-0.88000	-0.93000
(2/3,1/3,1/3) + set click here to show and hide
7	0.16667	0.33333	0.33333	m_x,2m_x,m_z	0.88000	1.76000	-0.93000
8	0.66667	0.83333	0.33333	-2m_x,-m_x,m_z	-1.76000	-0.88000	-0.93000
9	0.16667	0.83333	0.33333	m_x,-m_x,m_z	0.88000	-0.88000	-0.93000

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom Mg1:

Atom	x	y	z
1	0.00000	0.00000	0.50000
(1/3,2/3,2/3) + set click here to show and hide
2	0.33333	0.66667	0.16667
(2/3,1/3,1/3) + set click here to show and hide
3	0.66667	0.33333	0.83333

Set of atoms in the unit cell related by symmetry with the atom Mg2:

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 Sb1:

Atom	x	y	z
1	0.50000	0.00000	0.50000
2	0.00000	0.50000	0.50000
3	0.50000	0.50000	0.50000
(1/3,2/3,2/3) + set click here to show and hide
4	0.83333	0.66667	0.16667
5	0.33333	0.16667	0.16667
6	0.83333	0.16667	0.16667
(2/3,1/3,1/3) + set click here to show and hide
7	0.16667	0.33333	0.83333
8	0.66667	0.83333	0.83333
9	0.16667	0.83333	0.83333

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

Atom	x	y	z
1	0.00000	0.00000	0.60300
2	0.00000	0.00000	0.39700
(1/3,2/3,2/3) + set click here to show and hide
3	0.33333	0.66667	0.26967
4	0.33333	0.66667	0.06367
(2/3,1/3,1/3) + set click here to show and hide
5	0.66667	0.33333	0.93633
6	0.66667	0.33333	0.73033

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

Atom	x	y	z
1	0.53600	0.46400	0.38800
2	0.53600	0.07200	0.38800
3	0.92800	0.46400	0.38800
4	0.46400	0.53600	0.61200
5	0.46400	0.92800	0.61200
6	0.07200	0.53600	0.61200
(1/3,2/3,2/3) + set click here to show and hide
7	0.86933	0.13067	0.05467
8	0.86933	0.73867	0.05467
9	0.26133	0.13067	0.05467
10	0.79733	0.20267	0.27867
11	0.79733	0.59467	0.27867
12	0.40533	0.20267	0.27867
(2/3,1/3,1/3) + set click here to show and hide
13	0.20267	0.79733	0.72133
14	0.20267	0.40533	0.72133
15	0.59467	0.79733	0.72133
16	0.13067	0.86933	0.94533
17	0.13067	0.26133	0.94533
18	0.73867	0.86933	0.94533

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

Atom	x	y	z
1	0.47500	0.52500	0.85900
2	0.47500	0.95000	0.85900
3	0.05000	0.52500	0.85900
4	0.52500	0.47500	0.14100
5	0.52500	0.05000	0.14100
6	0.95000	0.47500	0.14100
(1/3,2/3,2/3) + set click here to show and hide
7	0.80833	0.19167	0.52567
8	0.80833	0.61667	0.52567
9	0.38333	0.19167	0.52567
10	0.85833	0.14167	0.80767
11	0.85833	0.71667	0.80767
12	0.28333	0.14167	0.80767
(2/3,1/3,1/3) + set click here to show and hide
13	0.14167	0.85833	0.19233
14	0.14167	0.28333	0.19233
15	0.71667	0.85833	0.19233
16	0.19167	0.80833	0.47433
17	0.19167	0.38333	0.47433
18	0.61667	0.80833	0.47433

[Hide]

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Nd1	Nd	0.50000	0.00000	0.00000	9	m_x,2m_x,m_z	0.88	1.76	-0.93	1.79

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

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

Nd₃Sb₃Mg₂O₁₄ (#0.167)

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

Nd3Sb3Mg2O14 (#0.167)

Nd₃Sb₃Mg₂O₁₄ (#0.167)