MAGNDATA - Collection of Magnetic Structures

Transformation matrix from the parent setting (a_p,b_p,c_p) to the standard setting of the parent space group (a_pst,b_pst,c_pst):

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Transformation matrix from the setting of the parent structure (a_p,b_p,c_p) to the working setting (a,b,c):

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

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Transformation matrix from the working setting (a,b,c) to the standard setting of the magnetic space group (a_s,b_s,c_s):

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

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Magnetic atoms:

Label	Atom type	x	y	z	Occupancy	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Ce1	Ce	0.00000	0.00000	0.00000	0.992	4	0,0,m_z	0.0	0.0	0.57(2)	0.57

Non-magnetic atoms:

Label	Atom type	x	y	z	Occupancy	Multiplicity
Na1	Na	0.00000	0.00000	0.50000	1.	4
O1	O	0.00000	0.00000	0.21921(9)	1.	8

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.00000	0,0,m_z	0.00000	0.00000	0.57000
2	0.00000	0.50000	0.25000	0,0,-m_z	0.00000	0.00000	-0.57000
(1/2,1/2,1/2) + set click here to show and hide
3	0.50000	0.50000	0.50000	0,0,m_z	0.00000	0.00000	0.57000
4	0.50000	0.00000	0.75000	0,0,-m_z	0.00000	0.00000	-0.57000

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

Atom	x	y	z
1	0.00000	0.00000	0.21921
2	0.00000	0.50000	0.03079
3	0.00000	0.00000	0.78079
4	0.00000	0.50000	0.46921
(1/2,1/2,1/2) + set click here to show and hide
5	0.50000	0.50000	0.71921
6	0.50000	0.00000	0.53079
7	0.50000	0.50000	0.28079
8	0.50000	0.00000	0.96921

Label	Atom type	x	y	z	Occupancy	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Ce1	Ce	0.00000	0.00000	0.00000	0.992	4	0,0,m_z	0.0	0.0	0.57(2)	0.57

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.00000	0,0,m_z	0.00000	0.00000	0.57000
2	0.00000	0.50000	0.25000	0,0,-m_z	0.00000	0.00000	-0.57000
(1/2,1/2,1/2) + set click here to show and hide
3	0.50000	0.50000	0.50000	0,0,m_z	0.00000	0.00000	0.57000
4	0.50000	0.00000	0.75000	0,0,-m_z	0.00000	0.00000	-0.57000

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

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