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+1/2,x+1/2,-z,+1	{ 2₁₁₀ \| 1/2 1/2 0 }
3	-y,-x+1/2,-z+1/2,+1	{ 2_1-10 \| 0 1/2 1/2 }
4	-x,-y+1/2,z+1/2,+1	{ 2₀₀₁ \| 0 1/2 1/2 }
5	-x,-y+1/2,-z,+1	{ -1 \| 0 1/2 0 }
6	-y,-x+1/2,z,+1	{ m₁₁₀ \| 0 1/2 0 }
7	y+1/2,x+1/2,z+1/2,+1	{ m_1-10 \| 1/2 1/2 1/2 }
8	x,y,-z+1/2,+1	{ m₀₀₁ \| 0 0 1/2 }
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9	x+1/2,y+1/2,z,+1	{ 1 \| 1/2 1/2 0 }
10	y,x,-z,+1	{ 2₁₁₀ \| 0 }
11	-y+1/2,-x,-z+1/2,+1	{ 2_1-10 \| 1/2 0 1/2 }
12	-x+1/2,-y,z+1/2,+1	{ 2₀₀₁ \| 1/2 0 1/2 }
13	-x+1/2,-y,-z,+1	{ -1 \| 1/2 0 0 }
14	-y+1/2,-x,z,+1	{ m₁₁₀ \| 1/2 0 0 }
15	y,x,z+1/2,+1	{ m_1-10 \| 0 0 1/2 }
16	x+1/2,y+1/2,-z+1/2,+1	{ m₀₀₁ \| 1/2 1/2 1/2 }
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17	x,y+1/2,z,-1	{ 1' \| 0 1/2 0 }
18	y+1/2,x,-z,-1	{ 2'₁₁₀ \| 1/2 0 0 }
19	-y,-x,-z+1/2,-1	{ 2'_1-10 \| 0 0 1/2 }
20	-x,-y,z+1/2,-1	{ 2'₀₀₁ \| 0 0 1/2 }
21	-x,-y,-z,-1	{ -1' \| 0 }
22	-y,-x,z,-1	{ m'₁₁₀ \| 0 }
23	y+1/2,x,z+1/2,-1	{ m'_1-10 \| 1/2 0 1/2 }
24	x,y+1/2,-z+1/2,-1	{ m'₀₀₁ \| 0 1/2 1/2 }
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25	x+1/2,y,z,-1	{ 1' \| 1/2 0 0 }
26	y,x+1/2,-z,-1	{ 2'₁₁₀ \| 0 1/2 0 }
27	-y+1/2,-x+1/2,-z+1/2,-1	{ 2'_1-10 \| 1/2 1/2 1/2 }
28	-x+1/2,-y+1/2,z+1/2,-1	{ 2'₀₀₁ \| 1/2 1/2 1/2 }
29	-x+1/2,-y+1/2,-z,-1	{ -1' \| 1/2 1/2 0 }
30	-y+1/2,-x+1/2,z,-1	{ m'₁₁₀ \| 1/2 1/2 0 }
31	y,x+1/2,z+1/2,-1	{ m'_1-10 \| 0 1/2 1/2 }
32	x+1/2,y,-z+1/2,-1	{ m'₀₀₁ \| 1/2 0 1/2 }

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N	(x,y,z)	Seitz notation
1	x,y,z,+1	1
2	y,x,-z,+1	2₁₁₀
3	-y,-x,-z,+1	2_1-10
4	-x,-y,z,+1	2₀₀₁
5	-x,-y,-z,+1	-1
6	-y,-x,z,+1	m₁₁₀
7	y,x,z,+1	m_1-10
8	x,y,-z,+1	m₀₀₁
1' + set click here to show and hide
9	x,y,z,-1	1'
10	y,x,-z,-1	2'₁₁₀
11	-y,-x,-z,-1	2'_1-10
12	-x,-y,z,-1	2'₀₀₁
13	-x,-y,-z,-1	-1'
14	-y,-x,z,-1	m'₁₁₀
15	y,x,z,-1	m'_1-10
16	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\|
Dy1	Dy	0.00000	0.00000	0.25000	8	0,0,m_z	0.0	0.0	8.09	8.09
Dy2	Dy	0.16667	0.33333	0.35232	16	m_x,-m_x,m_z	-3.78	3.78	0.0	6.55
Dy3	Dy	0.16667	0.33333	0.54228	16	m_x,-m_x,m_z	0.81	-0.81	5.52	5.70

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Ga1_1	Ga	0.26000	0.52000	0.25000	16
Ga1_2	Ga	0.26000	0.74000	0.25000	8
Ga2_1	Ga	0.08225	0.16450	0.65030	32
Ga2_2	Ga	0.08225	0.91775	0.65030	16
Ga3_1	Ga	0.07100	0.14200	0.05290	32
Ga3_2	Ga	0.07100	0.92900	0.05290	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 Dy1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.25000	0,0,m_z	0.00000	0.00000	8.09000
2	0.50000	0.50000	0.75000	0,0,-m_z	0.00000	0.00000	-8.09000
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3	0.50000	0.50000	0.25000	0,0,m_z	0.00000	0.00000	8.09000
4	0.00000	0.00000	0.75000	0,0,-m_z	0.00000	0.00000	-8.09000
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5	0.00000	0.50000	0.25000	0,0,-m_z	0.00000	0.00000	-8.09000
6	0.50000	0.00000	0.75000	0,0,m_z	0.00000	0.00000	8.09000
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7	0.50000	0.00000	0.25000	0,0,-m_z	0.00000	0.00000	-8.09000
8	0.00000	0.50000	0.75000	0,0,m_z	0.00000	0.00000	8.09000

Set of atoms in the unit cell related by symmetry with the magnetic atom Dy2:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.16667	0.33333	0.35232	m_x,-m_x,m_z	-3.78000	3.78000	0.00000
2	0.83333	0.66667	0.64768	-m_x,m_x,-m_z	3.78000	-3.78000	0.00000
3	0.66667	0.33333	0.14768	m_x,-m_x,-m_z	-3.78000	3.78000	0.00000
4	0.83333	0.16667	0.85232	-m_x,m_x,m_z	3.78000	-3.78000	0.00000
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5	0.66667	0.83333	0.35232	m_x,-m_x,m_z	-3.78000	3.78000	0.00000
6	0.33333	0.16667	0.64768	-m_x,m_x,-m_z	3.78000	-3.78000	0.00000
7	0.16667	0.83333	0.14768	m_x,-m_x,-m_z	-3.78000	3.78000	0.00000
8	0.33333	0.66667	0.85232	-m_x,m_x,m_z	3.78000	-3.78000	0.00000
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9	0.16667	0.83333	0.35232	-m_x,m_x,-m_z	3.78000	-3.78000	0.00000
10	0.83333	0.16667	0.64768	m_x,-m_x,m_z	-3.78000	3.78000	0.00000
11	0.66667	0.83333	0.14768	-m_x,m_x,m_z	3.78000	-3.78000	0.00000
12	0.83333	0.66667	0.85232	m_x,-m_x,-m_z	-3.78000	3.78000	0.00000
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13	0.66667	0.33333	0.35232	-m_x,m_x,-m_z	3.78000	-3.78000	0.00000
14	0.33333	0.66667	0.64768	m_x,-m_x,m_z	-3.78000	3.78000	0.00000
15	0.16667	0.33333	0.14768	-m_x,m_x,m_z	3.78000	-3.78000	0.00000
16	0.33333	0.16667	0.85232	m_x,-m_x,-m_z	-3.78000	3.78000	0.00000

Set of atoms in the unit cell related by symmetry with the magnetic atom Dy3:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.16667	0.33333	0.54228	m_x,-m_x,m_z	0.81000	-0.81000	5.52000
2	0.83333	0.66667	0.45772	-m_x,m_x,-m_z	-0.81000	0.81000	-5.52000
3	0.66667	0.33333	0.95772	m_x,-m_x,-m_z	0.81000	-0.81000	-5.52000
4	0.83333	0.16667	0.04228	-m_x,m_x,m_z	-0.81000	0.81000	5.52000
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5	0.66667	0.83333	0.54228	m_x,-m_x,m_z	0.81000	-0.81000	5.52000
6	0.33333	0.16667	0.45772	-m_x,m_x,-m_z	-0.81000	0.81000	-5.52000
7	0.16667	0.83333	0.95772	m_x,-m_x,-m_z	0.81000	-0.81000	-5.52000
8	0.33333	0.66667	0.04228	-m_x,m_x,m_z	-0.81000	0.81000	5.52000
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9	0.16667	0.83333	0.54228	-m_x,m_x,-m_z	-0.81000	0.81000	-5.52000
10	0.83333	0.16667	0.45772	m_x,-m_x,m_z	0.81000	-0.81000	5.52000
11	0.66667	0.83333	0.95772	-m_x,m_x,m_z	-0.81000	0.81000	5.52000
12	0.83333	0.66667	0.04228	m_x,-m_x,-m_z	0.81000	-0.81000	-5.52000
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13	0.66667	0.33333	0.54228	-m_x,m_x,-m_z	-0.81000	0.81000	-5.52000
14	0.33333	0.66667	0.45772	m_x,-m_x,m_z	0.81000	-0.81000	5.52000
15	0.16667	0.33333	0.95772	-m_x,m_x,m_z	-0.81000	0.81000	5.52000
16	0.33333	0.16667	0.04228	m_x,-m_x,-m_z	0.81000	-0.81000	-5.52000

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom Ga1_1:

Atom	x	y	z
1	0.26000	0.52000	0.25000
2	0.02000	0.76000	0.75000
3	0.48000	0.24000	0.25000
4	0.74000	0.98000	0.75000
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5	0.76000	0.02000	0.25000
6	0.52000	0.26000	0.75000
7	0.98000	0.74000	0.25000
8	0.24000	0.48000	0.75000
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9	0.26000	0.02000	0.25000
10	0.02000	0.26000	0.75000
11	0.48000	0.74000	0.25000
12	0.74000	0.48000	0.75000
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13	0.76000	0.52000	0.25000
14	0.52000	0.76000	0.75000
15	0.98000	0.24000	0.25000
16	0.24000	0.98000	0.75000

Set of atoms in the unit cell related by symmetry with the atom Ga1_2:

Atom	x	y	z
1	0.26000	0.74000	0.25000
2	0.24000	0.76000	0.75000
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3	0.76000	0.24000	0.25000
4	0.74000	0.26000	0.75000
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5	0.26000	0.24000	0.25000
6	0.24000	0.26000	0.75000
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7	0.76000	0.74000	0.25000
8	0.74000	0.76000	0.75000

Set of atoms in the unit cell related by symmetry with the atom Ga2_1:

Atom	x	y	z
1	0.08225	0.16450	0.65030
2	0.66450	0.58225	0.34970
3	0.83550	0.41775	0.84970
4	0.91775	0.33550	0.15030
5	0.91775	0.33550	0.34970
6	0.83550	0.41775	0.65030
7	0.66450	0.58225	0.15030
8	0.08225	0.16450	0.84970
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9	0.58225	0.66450	0.65030
10	0.16450	0.08225	0.34970
11	0.33550	0.91775	0.84970
12	0.41775	0.83550	0.15030
13	0.41775	0.83550	0.34970
14	0.33550	0.91775	0.65030
15	0.16450	0.08225	0.15030
16	0.58225	0.66450	0.84970
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17	0.08225	0.66450	0.65030
18	0.66450	0.08225	0.34970
19	0.83550	0.91775	0.84970
20	0.91775	0.83550	0.15030
21	0.91775	0.83550	0.34970
22	0.83550	0.91775	0.65030
23	0.66450	0.08225	0.15030
24	0.08225	0.66450	0.84970
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25	0.58225	0.16450	0.65030
26	0.16450	0.58225	0.34970
27	0.33550	0.41775	0.84970
28	0.41775	0.33550	0.15030
29	0.41775	0.33550	0.34970
30	0.33550	0.41775	0.65030
31	0.16450	0.58225	0.15030
32	0.58225	0.16450	0.84970

Set of atoms in the unit cell related by symmetry with the atom Ga2_2:

Atom	x	y	z
1	0.08225	0.91775	0.65030
2	0.41775	0.58225	0.34970
3	0.08225	0.41775	0.84970
4	0.91775	0.58225	0.15030
(1/2,1/2,0) + set click here to show and hide
5	0.58225	0.41775	0.65030
6	0.91775	0.08225	0.34970
7	0.58225	0.91775	0.84970
8	0.41775	0.08225	0.15030
(0,1/2,0)' + set click here to show and hide
9	0.08225	0.41775	0.65030
10	0.41775	0.08225	0.34970
11	0.08225	0.91775	0.84970
12	0.91775	0.08225	0.15030
(1/2,0,0)' + set click here to show and hide
13	0.58225	0.91775	0.65030
14	0.91775	0.58225	0.34970
15	0.58225	0.41775	0.84970
16	0.41775	0.58225	0.15030

Set of atoms in the unit cell related by symmetry with the atom Ga3_1:

Atom	x	y	z
1	0.07100	0.14200	0.05290
2	0.64200	0.57100	0.94710
3	0.85800	0.42900	0.44710
4	0.92900	0.35800	0.55290
5	0.92900	0.35800	0.94710
6	0.85800	0.42900	0.05290
7	0.64200	0.57100	0.55290
8	0.07100	0.14200	0.44710
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9	0.57100	0.64200	0.05290
10	0.14200	0.07100	0.94710
11	0.35800	0.92900	0.44710
12	0.42900	0.85800	0.55290
13	0.42900	0.85800	0.94710
14	0.35800	0.92900	0.05290
15	0.14200	0.07100	0.55290
16	0.57100	0.64200	0.44710
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17	0.07100	0.64200	0.05290
18	0.64200	0.07100	0.94710
19	0.85800	0.92900	0.44710
20	0.92900	0.85800	0.55290
21	0.92900	0.85800	0.94710
22	0.85800	0.92900	0.05290
23	0.64200	0.07100	0.55290
24	0.07100	0.64200	0.44710
(1/2,0,0)' + set click here to show and hide
25	0.57100	0.14200	0.05290
26	0.14200	0.57100	0.94710
27	0.35800	0.42900	0.44710
28	0.42900	0.35800	0.55290
29	0.42900	0.35800	0.94710
30	0.35800	0.42900	0.05290
31	0.14200	0.57100	0.55290
32	0.57100	0.14200	0.44710

Set of atoms in the unit cell related by symmetry with the atom Ga3_2:

Atom	x	y	z
1	0.07100	0.92900	0.05290
2	0.42900	0.57100	0.94710
3	0.07100	0.42900	0.44710
4	0.92900	0.57100	0.55290
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5	0.57100	0.42900	0.05290
6	0.92900	0.07100	0.94710
7	0.57100	0.92900	0.44710
8	0.42900	0.07100	0.55290
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9	0.07100	0.42900	0.05290
10	0.42900	0.07100	0.94710
11	0.07100	0.92900	0.44710
12	0.92900	0.07100	0.55290
(1/2,0,0)' + set click here to show and hide
13	0.57100	0.92900	0.05290
14	0.92900	0.57100	0.94710
15	0.57100	0.42900	0.44710
16	0.42900	0.57100	0.55290

[Hide]

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Dy1	Dy	0.00000	0.00000	0.25000	8	0,0,m_z	0.0	0.0	8.09	8.09
Dy2	Dy	0.16667	0.33333	0.35232	16	m_x,-m_x,m_z	-3.78	3.78	0.0	6.55
Dy3	Dy	0.16667	0.33333	0.54228	16	m_x,-m_x,m_z	0.81	-0.81	5.52	5.70

[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 Dy1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.25000	0,0,m_z	0.00000	0.00000	8.09000
2	0.50000	0.50000	0.75000	0,0,-m_z	0.00000	0.00000	-8.09000
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3	0.50000	0.50000	0.25000	0,0,m_z	0.00000	0.00000	8.09000
4	0.00000	0.00000	0.75000	0,0,-m_z	0.00000	0.00000	-8.09000
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5	0.00000	0.50000	0.25000	0,0,-m_z	0.00000	0.00000	-8.09000
6	0.50000	0.00000	0.75000	0,0,m_z	0.00000	0.00000	8.09000
(1/2,0,0)' + set click here to show and hide
7	0.50000	0.00000	0.25000	0,0,-m_z	0.00000	0.00000	-8.09000
8	0.00000	0.50000	0.75000	0,0,m_z	0.00000	0.00000	8.09000

Set of atoms in the unit cell related by symmetry with the magnetic atom Dy2:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.16667	0.33333	0.35232	m_x,-m_x,m_z	-3.78000	3.78000	0.00000
2	0.83333	0.66667	0.64768	-m_x,m_x,-m_z	3.78000	-3.78000	0.00000
3	0.66667	0.33333	0.14768	m_x,-m_x,-m_z	-3.78000	3.78000	0.00000
4	0.83333	0.16667	0.85232	-m_x,m_x,m_z	3.78000	-3.78000	0.00000
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5	0.66667	0.83333	0.35232	m_x,-m_x,m_z	-3.78000	3.78000	0.00000
6	0.33333	0.16667	0.64768	-m_x,m_x,-m_z	3.78000	-3.78000	0.00000
7	0.16667	0.83333	0.14768	m_x,-m_x,-m_z	-3.78000	3.78000	0.00000
8	0.33333	0.66667	0.85232	-m_x,m_x,m_z	3.78000	-3.78000	0.00000
(0,1/2,0)' + set click here to show and hide
9	0.16667	0.83333	0.35232	-m_x,m_x,-m_z	3.78000	-3.78000	0.00000
10	0.83333	0.16667	0.64768	m_x,-m_x,m_z	-3.78000	3.78000	0.00000
11	0.66667	0.83333	0.14768	-m_x,m_x,m_z	3.78000	-3.78000	0.00000
12	0.83333	0.66667	0.85232	m_x,-m_x,-m_z	-3.78000	3.78000	0.00000
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13	0.66667	0.33333	0.35232	-m_x,m_x,-m_z	3.78000	-3.78000	0.00000
14	0.33333	0.66667	0.64768	m_x,-m_x,m_z	-3.78000	3.78000	0.00000
15	0.16667	0.33333	0.14768	-m_x,m_x,m_z	3.78000	-3.78000	0.00000
16	0.33333	0.16667	0.85232	m_x,-m_x,-m_z	-3.78000	3.78000	0.00000

Set of atoms in the unit cell related by symmetry with the magnetic atom Dy3:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.16667	0.33333	0.54228	m_x,-m_x,m_z	0.81000	-0.81000	5.52000
2	0.83333	0.66667	0.45772	-m_x,m_x,-m_z	-0.81000	0.81000	-5.52000
3	0.66667	0.33333	0.95772	m_x,-m_x,-m_z	0.81000	-0.81000	-5.52000
4	0.83333	0.16667	0.04228	-m_x,m_x,m_z	-0.81000	0.81000	5.52000
(1/2,1/2,0) + set click here to show and hide
5	0.66667	0.83333	0.54228	m_x,-m_x,m_z	0.81000	-0.81000	5.52000
6	0.33333	0.16667	0.45772	-m_x,m_x,-m_z	-0.81000	0.81000	-5.52000
7	0.16667	0.83333	0.95772	m_x,-m_x,-m_z	0.81000	-0.81000	-5.52000
8	0.33333	0.66667	0.04228	-m_x,m_x,m_z	-0.81000	0.81000	5.52000
(0,1/2,0)' + set click here to show and hide
9	0.16667	0.83333	0.54228	-m_x,m_x,-m_z	-0.81000	0.81000	-5.52000
10	0.83333	0.16667	0.45772	m_x,-m_x,m_z	0.81000	-0.81000	5.52000
11	0.66667	0.83333	0.95772	-m_x,m_x,m_z	-0.81000	0.81000	5.52000
12	0.83333	0.66667	0.04228	m_x,-m_x,-m_z	0.81000	-0.81000	-5.52000
(1/2,0,0)' + set click here to show and hide
13	0.66667	0.33333	0.54228	-m_x,m_x,-m_z	-0.81000	0.81000	-5.52000
14	0.33333	0.66667	0.45772	m_x,-m_x,m_z	0.81000	-0.81000	5.52000
15	0.16667	0.33333	0.95772	-m_x,m_x,m_z	-0.81000	0.81000	5.52000
16	0.33333	0.16667	0.04228	m_x,-m_x,-m_z	0.81000	-0.81000	-5.52000

[Hide]

label	dim. small irrep	dim. full irrep	action	number of modes
mM3-	1	3	primary	5

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

DyGa₃ (#1.859)

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

DyGa3 (#1.859)

DyGa₃ (#1.859)