MAGNDATA - Collection of Magnetic Structures

N	(x,y,z)	Seitz notation
1	x,y,z,+1	{ 1 \| 0 }
2	x-y,x,z+1/2,+1	{ 6⁺₀₀₁ \| 0 0 1/2 }
3	-y,x-y,z,+1	{ 3⁺₀₀₁ \| 0 }
4	-x,-y,z+1/2,+1	{ 2₀₀₁ \| 0 0 1/2 }
5	-x+y,-x,z,+1	{ 3^-₀₀₁ \| 0 }
6	y,-x+y,z+1/2,+1	{ 6^-₀₀₁ \| 0 0 1/2 }
7	x-y,-y,-z,-1	{ 2'₁₀₀ \| 0 }
8	x,x-y,-z+1/2,-1	{ 2'₂₁₀ \| 0 0 1/2 }
9	y,x,-z,-1	{ 2'₁₁₀ \| 0 }
10	-x+y,y,-z+1/2,-1	{ 2'₁₂₀ \| 0 0 1/2 }
11	-x,-x+y,-z,-1	{ 2'₀₁₀ \| 0 }
12	-y,-x,-z+1/2,-1	{ 2'_1-10 \| 0 0 1/2 }

N	(x,y,z)	Seitz notation
1	x,y,z,+1	1
2	x-y,x,z,+1	6⁺₀₀₁
3	-y,x-y,z,+1	3⁺₀₀₁
4	-x,-y,z,+1	2₀₀₁
5	-x+y,-x,z,+1	3^-₀₀₁
6	y,-x+y,z,+1	6^-₀₀₁
7	x-y,-y,-z,-1	2'₁₀₀
8	x,x-y,-z,-1	2'₂₁₀
9	y,x,-z,-1	2'₁₁₀
10	-x+y,y,-z,-1	2'₁₂₀
11	-x,-x+y,-z,-1	2'₀₁₀
12	-y,-x,-z,-1	2'_1-10

Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Gd1	Gd	0.048210	0.096420	0.250000	6	M_x,0,M_z	-2.11988	0.0	-6.67129	7.00
Gd2	Gd	0.201790	0.153580	0.750000	12	M_x,M_y,M_z	-1.51949	3.63496	-5.28724	7.00
Gd3	Gd	0.048210	0.346430	0.250000	12	M_x,M_y,M_z	-7.9801	-2.9475	-0.38941	7.00
Gd4	Gd	0.798210	0.596420	0.250000	6	M_x,0,M_z	6.92468	0.0	1.0241	7.00
Gd5	Gd	0.153570	0.451790	0.250000	12	M_x,M_y,M_z	-6.38226	-0.6748	3.48111	7.00
Gd6	Gd	0.096420	0.298210	0.750000	12	M_x,M_y,M_z	-6.91607	-1.39489	-2.97815	7.00
Gd7	Gd	0.048210	0.451790	0.250000	12	M_x,M_y,M_z	-5.39665	-1.68623	5.11203	7.00
Gd8	Gd	0.201790	0.653580	0.750000	12	M_x,M_y,M_z	2.68554	3.36482	6.28508	7.00
Gd9	Gd	0.548210	0.096420	0.250000	6	M_x,0,M_z	-1.69436	0.0	6.79184	7.00
Gd10	Gd	0.298210	0.596420	0.250000	6	M_x,0,M_z	-1.83337	0.0	6.75565	7.00

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Ru1	Ru	0.125000	0.000000	0.000000	6
Ru2	Ru	0.875000	0.000000	0.000000	6
Ru3	Ru	0.000000	0.000000	0.000000	2
Ru4	Ru	0.125000	0.250000	0.000000	12
Ru5	Ru	0.375000	0.000000	0.000000	6
Ru6	Ru	0.125000	0.375000	0.000000	12
Ru7	Ru	0.625000	0.000000	0.000000	6
Ru8	Ru	0.125000	0.375000	0.500000	12
Ru9	Ru	0.250000	0.000000	0.000000	6
Ru10	Ru	0.750000	0.000000	0.000000	6
Ru11	Ru	0.125000	0.500000	0.000000	12
Ru12	Ru	0.125000	0.625000	0.000000	12
Ru13	Ru	0.500000	0.000000	0.000000	6
Ru14	Ru	0.250000	0.625000	0.000000	12
Ru15	Ru	0.250000	0.500000	0.000000	12
Al1_1	Al	0.04055	0.08110	0.57620	12
Al1_2	Al	0.29055	0.08110	0.57620	12
Al1_3	Al	0.54055	0.08110	0.57620	12
Al1_4	Al	0.79055	0.08110	0.57620	12
Al1_5	Al	0.04055	0.33110	0.57620	12
Al1_6	Al	0.04055	0.58110	0.57620	12
Al1_7	Al	0.04055	0.83110	0.57620	12
Al1_8	Al	0.16890	0.95945	0.57620	12
Al1_9	Al	0.33110	0.04055	0.07620	12
Al1_10	Al	0.29055	0.58110	0.57620	12
Al1_11	Al	0.29055	0.83110	0.57620	12
Al1_12	Al	0.41890	0.95945	0.57620	12
Al1_13	Al	0.54055	0.33110	0.57620	12
Al1_14	Al	0.54055	0.83110	0.57620	12
Al1_15	Al	0.79055	0.33110	0.57620	12
Al1_16	Al	0.79055	0.58110	0.57620	12
Al2_1	Al	0.14092	0.03185	0.25000	12
Al2_2	Al	0.39093	0.03185	0.25000	12
Al2_3	Al	0.14092	0.28185	0.25000	6
Al2_4	Al	0.14092	0.53185	0.25000	12
Al2_5	Al	0.14092	0.78185	0.25000	12
Al2_6	Al	0.21815	0.10908	0.25000	6
Al2_7	Al	0.28185	0.89092	0.75000	12
Al2_8	Al	0.39093	0.78185	0.25000	6
Al2_9	Al	0.46815	0.10908	0.25000	12
Al2_10	Al	0.64092	0.28185	0.25000	6
Al3_1	Al	0.08333	0.16667	0.01160	12
Al3_2	Al	0.33333	0.16667	0.01160	12
Al3_3	Al	0.58333	0.16667	0.01160	12
Al3_4	Al	0.08333	0.41667	0.01160	12
Al3_5	Al	0.08333	0.66666	0.01160	12
Al3_6	Al	0.33333	0.66666	0.01160	4
Al4_1	Al	0.00000	0.00000	0.25000	2
Al4_2	Al	0.25000	0.00000	0.25000	12
Al4_3	Al	0.50000	0.00000	0.25000	6
Al4_4	Al	0.25000	0.50000	0.25000	6
Al4_5	Al	0.50000	0.25000	0.25000	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 Gd1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.04821	0.09642	0.25000	m_x,0,m_z	-2.11988	0.00000	-6.67129
2	0.95179	0.04821	0.75000	m_x,m_x,m_z	-2.11988	-2.11988	-6.67129
3	0.90358	0.95179	0.25000	0,m_x,m_z	0.00000	-2.11988	-6.67129
4	0.95179	0.90358	0.75000	-m_x,0,m_z	2.11988	0.00000	-6.67129
5	0.04821	0.95179	0.25000	-m_x,-m_x,m_z	2.11988	2.11988	-6.67129
6	0.09642	0.04821	0.75000	0,-m_x,m_z	0.00000	2.11988	-6.67129

Set of atoms in the unit cell related by symmetry with the magnetic atom Gd2:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.20179	0.15358	0.75000	m_x,m_y,m_z	-1.51949	3.63496	-5.28724
2	0.04821	0.20179	0.25000	m_x-m_y,m_x,m_z	-5.15445	-1.51949	-5.28724
3	0.84642	0.04821	0.75000	-m_y,m_x-m_y,m_z	-3.63496	-5.15445	-5.28724
4	0.79821	0.84642	0.25000	-m_x,-m_y,m_z	1.51949	-3.63496	-5.28724
5	0.95179	0.79821	0.75000	-m_x+m_y,-m_x,m_z	5.15445	1.51949	-5.28724
6	0.15358	0.95179	0.25000	m_y,-m_x+m_y,m_z	3.63496	5.15445	-5.28724
7	0.04821	0.84642	0.25000	-m_x+m_y,m_y,m_z	5.15445	3.63496	-5.28724
8	0.20179	0.04821	0.75000	-m_x,-m_x+m_y,m_z	1.51949	5.15445	-5.28724
9	0.15358	0.20179	0.25000	-m_y,-m_x,m_z	-3.63496	1.51949	-5.28724
10	0.95179	0.15358	0.75000	m_x-m_y,-m_y,m_z	-5.15445	-3.63496	-5.28724
11	0.79821	0.95179	0.25000	m_x,m_x-m_y,m_z	-1.51949	-5.15445	-5.28724
12	0.84642	0.79821	0.75000	m_y,m_x,m_z	3.63496	-1.51949	-5.28724

Set of atoms in the unit cell related by symmetry with the magnetic atom Gd3:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.04821	0.34643	0.25000	m_x,m_y,m_z	-7.98010	-2.94750	-0.38941
2	0.70178	0.04821	0.75000	m_x-m_y,m_x,m_z	-5.03260	-7.98010	-0.38941
3	0.65357	0.70178	0.25000	-m_y,m_x-m_y,m_z	2.94750	-5.03260	-0.38941
4	0.95179	0.65357	0.75000	-m_x,-m_y,m_z	7.98010	2.94750	-0.38941
5	0.29822	0.95179	0.25000	-m_x+m_y,-m_x,m_z	5.03260	7.98010	-0.38941
6	0.34643	0.29822	0.75000	m_y,-m_x+m_y,m_z	-2.94750	5.03260	-0.38941
7	0.70178	0.65357	0.75000	-m_x+m_y,m_y,m_z	5.03260	-2.94750	-0.38941
8	0.04821	0.70178	0.25000	-m_x,-m_x+m_y,m_z	7.98010	5.03260	-0.38941
9	0.34643	0.04821	0.75000	-m_y,-m_x,m_z	2.94750	7.98010	-0.38941
10	0.29822	0.34643	0.25000	m_x-m_y,-m_y,m_z	-5.03260	2.94750	-0.38941
11	0.95179	0.29822	0.75000	m_x,m_x-m_y,m_z	-7.98010	-5.03260	-0.38941
12	0.65357	0.95179	0.25000	m_y,m_x,m_z	-2.94750	-7.98010	-0.38941

Set of atoms in the unit cell related by symmetry with the magnetic atom Gd4:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.79821	0.59642	0.25000	m_x,0,m_z	6.92468	0.00000	1.02410
2	0.20179	0.79821	0.75000	m_x,m_x,m_z	6.92468	6.92468	1.02410
3	0.40358	0.20179	0.25000	0,m_x,m_z	0.00000	6.92468	1.02410
4	0.20179	0.40358	0.75000	-m_x,0,m_z	-6.92468	0.00000	1.02410
5	0.79821	0.20179	0.25000	-m_x,-m_x,m_z	-6.92468	-6.92468	1.02410
6	0.59642	0.79821	0.75000	0,-m_x,m_z	0.00000	-6.92468	1.02410

Set of atoms in the unit cell related by symmetry with the magnetic atom Gd5:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.15357	0.45179	0.25000	m_x,m_y,m_z	-6.38226	-0.67480	3.48111
2	0.70178	0.15357	0.75000	m_x-m_y,m_x,m_z	-5.70746	-6.38226	3.48111
3	0.54821	0.70178	0.25000	-m_y,m_x-m_y,m_z	0.67480	-5.70746	3.48111
4	0.84643	0.54821	0.75000	-m_x,-m_y,m_z	6.38226	0.67480	3.48111
5	0.29822	0.84643	0.25000	-m_x+m_y,-m_x,m_z	5.70746	6.38226	3.48111
6	0.45179	0.29822	0.75000	m_y,-m_x+m_y,m_z	-0.67480	5.70746	3.48111
7	0.70178	0.54821	0.75000	-m_x+m_y,m_y,m_z	5.70746	-0.67480	3.48111
8	0.15357	0.70178	0.25000	-m_x,-m_x+m_y,m_z	6.38226	5.70746	3.48111
9	0.45179	0.15357	0.75000	-m_y,-m_x,m_z	0.67480	6.38226	3.48111
10	0.29822	0.45179	0.25000	m_x-m_y,-m_y,m_z	-5.70746	0.67480	3.48111
11	0.84643	0.29822	0.75000	m_x,m_x-m_y,m_z	-6.38226	-5.70746	3.48111
12	0.54821	0.84643	0.25000	m_y,m_x,m_z	-0.67480	-6.38226	3.48111

Set of atoms in the unit cell related by symmetry with the magnetic atom Gd6:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.09642	0.29821	0.75000	m_x,m_y,m_z	-6.91607	-1.39489	-2.97815
2	0.79821	0.09642	0.25000	m_x-m_y,m_x,m_z	-5.52118	-6.91607	-2.97815
3	0.70179	0.79821	0.75000	-m_y,m_x-m_y,m_z	1.39489	-5.52118	-2.97815
4	0.90358	0.70179	0.25000	-m_x,-m_y,m_z	6.91607	1.39489	-2.97815
5	0.20179	0.90358	0.75000	-m_x+m_y,-m_x,m_z	5.52118	6.91607	-2.97815
6	0.29821	0.20179	0.25000	m_y,-m_x+m_y,m_z	-1.39489	5.52118	-2.97815
7	0.79821	0.70179	0.25000	-m_x+m_y,m_y,m_z	5.52118	-1.39489	-2.97815
8	0.09642	0.79821	0.75000	-m_x,-m_x+m_y,m_z	6.91607	5.52118	-2.97815
9	0.29821	0.09642	0.25000	-m_y,-m_x,m_z	1.39489	6.91607	-2.97815
10	0.20179	0.29821	0.75000	m_x-m_y,-m_y,m_z	-5.52118	1.39489	-2.97815
11	0.90358	0.20179	0.25000	m_x,m_x-m_y,m_z	-6.91607	-5.52118	-2.97815
12	0.70179	0.90358	0.75000	m_y,m_x,m_z	-1.39489	-6.91607	-2.97815

Set of atoms in the unit cell related by symmetry with the magnetic atom Gd7:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.04821	0.45179	0.25000	m_x,m_y,m_z	-5.39665	-1.68623	5.11203
2	0.59642	0.04821	0.75000	m_x-m_y,m_x,m_z	-3.71042	-5.39665	5.11203
3	0.54821	0.59642	0.25000	-m_y,m_x-m_y,m_z	1.68623	-3.71042	5.11203
4	0.95179	0.54821	0.75000	-m_x,-m_y,m_z	5.39665	1.68623	5.11203
5	0.40358	0.95179	0.25000	-m_x+m_y,-m_x,m_z	3.71042	5.39665	5.11203
6	0.45179	0.40358	0.75000	m_y,-m_x+m_y,m_z	-1.68623	3.71042	5.11203
7	0.59642	0.54821	0.75000	-m_x+m_y,m_y,m_z	3.71042	-1.68623	5.11203
8	0.04821	0.59642	0.25000	-m_x,-m_x+m_y,m_z	5.39665	3.71042	5.11203
9	0.45179	0.04821	0.75000	-m_y,-m_x,m_z	1.68623	5.39665	5.11203
10	0.40358	0.45179	0.25000	m_x-m_y,-m_y,m_z	-3.71042	1.68623	5.11203
11	0.95179	0.40358	0.75000	m_x,m_x-m_y,m_z	-5.39665	-3.71042	5.11203
12	0.54821	0.95179	0.25000	m_y,m_x,m_z	-1.68623	-5.39665	5.11203

Set of atoms in the unit cell related by symmetry with the magnetic atom Gd8:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.20179	0.65358	0.75000	m_x,m_y,m_z	2.68554	3.36482	6.28508
2	0.54821	0.20179	0.25000	m_x-m_y,m_x,m_z	-0.67928	2.68554	6.28508
3	0.34642	0.54821	0.75000	-m_y,m_x-m_y,m_z	-3.36482	-0.67928	6.28508
4	0.79821	0.34642	0.25000	-m_x,-m_y,m_z	-2.68554	-3.36482	6.28508
5	0.45179	0.79821	0.75000	-m_x+m_y,-m_x,m_z	0.67928	-2.68554	6.28508
6	0.65358	0.45179	0.25000	m_y,-m_x+m_y,m_z	3.36482	0.67928	6.28508
7	0.54821	0.34642	0.25000	-m_x+m_y,m_y,m_z	0.67928	3.36482	6.28508
8	0.20179	0.54821	0.75000	-m_x,-m_x+m_y,m_z	-2.68554	0.67928	6.28508
9	0.65358	0.20179	0.25000	-m_y,-m_x,m_z	-3.36482	-2.68554	6.28508
10	0.45179	0.65358	0.75000	m_x-m_y,-m_y,m_z	-0.67928	-3.36482	6.28508
11	0.79821	0.45179	0.25000	m_x,m_x-m_y,m_z	2.68554	-0.67928	6.28508
12	0.34642	0.79821	0.75000	m_y,m_x,m_z	3.36482	2.68554	6.28508

Set of atoms in the unit cell related by symmetry with the magnetic atom Gd9:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.54821	0.09642	0.25000	m_x,0,m_z	-1.69436	0.00000	6.79184
2	0.45179	0.54821	0.75000	m_x,m_x,m_z	-1.69436	-1.69436	6.79184
3	0.90358	0.45179	0.25000	0,m_x,m_z	0.00000	-1.69436	6.79184
4	0.45179	0.90358	0.75000	-m_x,0,m_z	1.69436	0.00000	6.79184
5	0.54821	0.45179	0.25000	-m_x,-m_x,m_z	1.69436	1.69436	6.79184
6	0.09642	0.54821	0.75000	0,-m_x,m_z	0.00000	1.69436	6.79184

Set of atoms in the unit cell related by symmetry with the magnetic atom Gd10:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.29821	0.59642	0.25000	m_x,0,m_z	-1.83337	0.00000	6.75565
2	0.70179	0.29821	0.75000	m_x,m_x,m_z	-1.83337	-1.83337	6.75565
3	0.40358	0.70179	0.25000	0,m_x,m_z	0.00000	-1.83337	6.75565
4	0.70179	0.40358	0.75000	-m_x,0,m_z	1.83337	0.00000	6.75565
5	0.29821	0.70179	0.25000	-m_x,-m_x,m_z	1.83337	1.83337	6.75565
6	0.59642	0.29821	0.75000	0,-m_x,m_z	0.00000	1.83337	6.75565

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom Ru1:

Atom	x	y	z
1	0.12500	0.00000	0.00000
2	0.12500	0.12500	0.50000
3	0.00000	0.12500	0.00000
4	0.87500	0.00000	0.50000
5	0.87500	0.87500	0.00000
6	0.00000	0.87500	0.50000

Set of atoms in the unit cell related by symmetry with the atom Ru2:

Atom	x	y	z
1	0.87500	0.00000	0.00000
2	0.87500	0.87500	0.50000
3	0.00000	0.87500	0.00000
4	0.12500	0.00000	0.50000
5	0.12500	0.12500	0.00000
6	0.00000	0.12500	0.50000

Set of atoms in the unit cell related by symmetry with the atom Ru3:

Atom	x	y	z
1	0.00000	0.00000	0.00000
2	0.00000	0.00000	0.50000

Set of atoms in the unit cell related by symmetry with the atom Ru4:

Atom	x	y	z
1	0.12500	0.25000	0.00000
2	0.87500	0.12500	0.50000
3	0.75000	0.87500	0.00000
4	0.87500	0.75000	0.50000
5	0.12500	0.87500	0.00000
6	0.25000	0.12500	0.50000
7	0.87500	0.75000	0.00000
8	0.12500	0.87500	0.50000
9	0.25000	0.12500	0.00000
10	0.12500	0.25000	0.50000
11	0.87500	0.12500	0.00000
12	0.75000	0.87500	0.50000

Set of atoms in the unit cell related by symmetry with the atom Ru5:

Atom	x	y	z
1	0.37500	0.00000	0.00000
2	0.37500	0.37500	0.50000
3	0.00000	0.37500	0.00000
4	0.62500	0.00000	0.50000
5	0.62500	0.62500	0.00000
6	0.00000	0.62500	0.50000

Set of atoms in the unit cell related by symmetry with the atom Ru6:

Atom	x	y	z
1	0.12500	0.37500	0.00000
2	0.75000	0.12500	0.50000
3	0.62500	0.75000	0.00000
4	0.87500	0.62500	0.50000
5	0.25000	0.87500	0.00000
6	0.37500	0.25000	0.50000
7	0.75000	0.62500	0.00000
8	0.12500	0.75000	0.50000
9	0.37500	0.12500	0.00000
10	0.25000	0.37500	0.50000
11	0.87500	0.25000	0.00000
12	0.62500	0.87500	0.50000

Set of atoms in the unit cell related by symmetry with the atom Ru7:

Atom	x	y	z
1	0.62500	0.00000	0.00000
2	0.62500	0.62500	0.50000
3	0.00000	0.62500	0.00000
4	0.37500	0.00000	0.50000
5	0.37500	0.37500	0.00000
6	0.00000	0.37500	0.50000

Set of atoms in the unit cell related by symmetry with the atom Ru8:

Atom	x	y	z
1	0.12500	0.37500	0.50000
2	0.75000	0.12500	0.00000
3	0.62500	0.75000	0.50000
4	0.87500	0.62500	0.00000
5	0.25000	0.87500	0.50000
6	0.37500	0.25000	0.00000
7	0.75000	0.62500	0.50000
8	0.12500	0.75000	0.00000
9	0.37500	0.12500	0.50000
10	0.25000	0.37500	0.00000
11	0.87500	0.25000	0.50000
12	0.62500	0.87500	0.00000

Set of atoms in the unit cell related by symmetry with the atom Ru9:

Atom	x	y	z
1	0.25000	0.00000	0.00000
2	0.25000	0.25000	0.50000
3	0.00000	0.25000	0.00000
4	0.75000	0.00000	0.50000
5	0.75000	0.75000	0.00000
6	0.00000	0.75000	0.50000

Set of atoms in the unit cell related by symmetry with the atom Ru10:

Atom	x	y	z
1	0.75000	0.00000	0.00000
2	0.75000	0.75000	0.50000
3	0.00000	0.75000	0.00000
4	0.25000	0.00000	0.50000
5	0.25000	0.25000	0.00000
6	0.00000	0.25000	0.50000

Set of atoms in the unit cell related by symmetry with the atom Ru11:

Atom	x	y	z
1	0.12500	0.50000	0.00000
2	0.62500	0.12500	0.50000
3	0.50000	0.62500	0.00000
4	0.87500	0.50000	0.50000
5	0.37500	0.87500	0.00000
6	0.50000	0.37500	0.50000
7	0.62500	0.50000	0.00000
8	0.12500	0.62500	0.50000
9	0.50000	0.12500	0.00000
10	0.37500	0.50000	0.50000
11	0.87500	0.37500	0.00000
12	0.50000	0.87500	0.50000

Set of atoms in the unit cell related by symmetry with the atom Ru12:

Atom	x	y	z
1	0.12500	0.62500	0.00000
2	0.50000	0.12500	0.50000
3	0.37500	0.50000	0.00000
4	0.87500	0.37500	0.50000
5	0.50000	0.87500	0.00000
6	0.62500	0.50000	0.50000
7	0.50000	0.37500	0.00000
8	0.12500	0.50000	0.50000
9	0.62500	0.12500	0.00000
10	0.50000	0.62500	0.50000
11	0.87500	0.50000	0.00000
12	0.37500	0.87500	0.50000

Set of atoms in the unit cell related by symmetry with the atom Ru13:

Atom	x	y	z
1	0.50000	0.00000	0.00000
2	0.50000	0.50000	0.50000
3	0.00000	0.50000	0.00000
4	0.50000	0.00000	0.50000
5	0.50000	0.50000	0.00000
6	0.00000	0.50000	0.50000

Set of atoms in the unit cell related by symmetry with the atom Ru14:

Atom	x	y	z
1	0.25000	0.62500	0.00000
2	0.62500	0.25000	0.50000
3	0.37500	0.62500	0.00000
4	0.75000	0.37500	0.50000
5	0.37500	0.75000	0.00000
6	0.62500	0.37500	0.50000
7	0.62500	0.37500	0.00000
8	0.25000	0.62500	0.50000
9	0.62500	0.25000	0.00000
10	0.37500	0.62500	0.50000
11	0.75000	0.37500	0.00000
12	0.37500	0.75000	0.50000

Set of atoms in the unit cell related by symmetry with the atom Ru15:

Atom	x	y	z
1	0.25000	0.50000	0.00000
2	0.75000	0.25000	0.50000
3	0.50000	0.75000	0.00000
4	0.75000	0.50000	0.50000
5	0.25000	0.75000	0.00000
6	0.50000	0.25000	0.50000
7	0.75000	0.50000	0.00000
8	0.25000	0.75000	0.50000
9	0.50000	0.25000	0.00000
10	0.25000	0.50000	0.50000
11	0.75000	0.25000	0.00000
12	0.50000	0.75000	0.50000

Set of atoms in the unit cell related by symmetry with the atom Al1_1:

Atom	x	y	z
1	0.04055	0.08110	0.57620
2	0.95945	0.04055	0.07620
3	0.91890	0.95945	0.57620
4	0.95945	0.91890	0.07620
5	0.04055	0.95945	0.57620
6	0.08110	0.04055	0.07620
7	0.95945	0.91890	0.42380
8	0.04055	0.95945	0.92380
9	0.08110	0.04055	0.42380
10	0.04055	0.08110	0.92380
11	0.95945	0.04055	0.42380
12	0.91890	0.95945	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al1_2:

Atom	x	y	z
1	0.29055	0.08110	0.57620
2	0.20945	0.29055	0.07620
3	0.91890	0.20945	0.57620
4	0.70945	0.91890	0.07620
5	0.79055	0.70945	0.57620
6	0.08110	0.79055	0.07620
7	0.20945	0.91890	0.42380
8	0.29055	0.20945	0.92380
9	0.08110	0.29055	0.42380
10	0.79055	0.08110	0.92380
11	0.70945	0.79055	0.42380
12	0.91890	0.70945	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al1_3:

Atom	x	y	z
1	0.54055	0.08110	0.57620
2	0.45945	0.54055	0.07620
3	0.91890	0.45945	0.57620
4	0.45945	0.91890	0.07620
5	0.54055	0.45945	0.57620
6	0.08110	0.54055	0.07620
7	0.45945	0.91890	0.42380
8	0.54055	0.45945	0.92380
9	0.08110	0.54055	0.42380
10	0.54055	0.08110	0.92380
11	0.45945	0.54055	0.42380
12	0.91890	0.45945	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al1_4:

Atom	x	y	z
1	0.79055	0.08110	0.57620
2	0.70945	0.79055	0.07620
3	0.91890	0.70945	0.57620
4	0.20945	0.91890	0.07620
5	0.29055	0.20945	0.57620
6	0.08110	0.29055	0.07620
7	0.70945	0.91890	0.42380
8	0.79055	0.70945	0.92380
9	0.08110	0.79055	0.42380
10	0.29055	0.08110	0.92380
11	0.20945	0.29055	0.42380
12	0.91890	0.20945	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al1_5:

Atom	x	y	z
1	0.04055	0.33110	0.57620
2	0.70945	0.04055	0.07620
3	0.66890	0.70945	0.57620
4	0.95945	0.66890	0.07620
5	0.29055	0.95945	0.57620
6	0.33110	0.29055	0.07620
7	0.70945	0.66890	0.42380
8	0.04055	0.70945	0.92380
9	0.33110	0.04055	0.42380
10	0.29055	0.33110	0.92380
11	0.95945	0.29055	0.42380
12	0.66890	0.95945	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al1_6:

Atom	x	y	z
1	0.04055	0.58110	0.57620
2	0.45945	0.04055	0.07620
3	0.41890	0.45945	0.57620
4	0.95945	0.41890	0.07620
5	0.54055	0.95945	0.57620
6	0.58110	0.54055	0.07620
7	0.45945	0.41890	0.42380
8	0.04055	0.45945	0.92380
9	0.58110	0.04055	0.42380
10	0.54055	0.58110	0.92380
11	0.95945	0.54055	0.42380
12	0.41890	0.95945	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al1_7:

Atom	x	y	z
1	0.04055	0.83110	0.57620
2	0.20945	0.04055	0.07620
3	0.16890	0.20945	0.57620
4	0.95945	0.16890	0.07620
5	0.79055	0.95945	0.57620
6	0.83110	0.79055	0.07620
7	0.20945	0.16890	0.42380
8	0.04055	0.20945	0.92380
9	0.83110	0.04055	0.42380
10	0.79055	0.83110	0.92380
11	0.95945	0.79055	0.42380
12	0.16890	0.95945	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al1_8:

Atom	x	y	z
1	0.16890	0.95945	0.57620
2	0.20945	0.16890	0.07620
3	0.04055	0.20945	0.57620
4	0.83110	0.04055	0.07620
5	0.79055	0.83110	0.57620
6	0.95945	0.79055	0.07620
7	0.20945	0.04055	0.42380
8	0.16890	0.20945	0.92380
9	0.95945	0.16890	0.42380
10	0.79055	0.95945	0.92380
11	0.83110	0.79055	0.42380
12	0.04055	0.83110	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al1_9:

Atom	x	y	z
1	0.33110	0.04055	0.07620
2	0.29055	0.33110	0.57620
3	0.95945	0.29055	0.07620
4	0.66890	0.95945	0.57620
5	0.70945	0.66890	0.07620
6	0.04055	0.70945	0.57620
7	0.29055	0.95945	0.92380
8	0.33110	0.29055	0.42380
9	0.04055	0.33110	0.92380
10	0.70945	0.04055	0.42380
11	0.66890	0.70945	0.92380
12	0.95945	0.66890	0.42380

Set of atoms in the unit cell related by symmetry with the atom Al1_10:

Atom	x	y	z
1	0.29055	0.58110	0.57620
2	0.70945	0.29055	0.07620
3	0.41890	0.70945	0.57620
4	0.70945	0.41890	0.07620
5	0.29055	0.70945	0.57620
6	0.58110	0.29055	0.07620
7	0.70945	0.41890	0.42380
8	0.29055	0.70945	0.92380
9	0.58110	0.29055	0.42380
10	0.29055	0.58110	0.92380
11	0.70945	0.29055	0.42380
12	0.41890	0.70945	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al1_11:

Atom	x	y	z
1	0.29055	0.83110	0.57620
2	0.45945	0.29055	0.07620
3	0.16890	0.45945	0.57620
4	0.70945	0.16890	0.07620
5	0.54055	0.70945	0.57620
6	0.83110	0.54055	0.07620
7	0.45945	0.16890	0.42380
8	0.29055	0.45945	0.92380
9	0.83110	0.29055	0.42380
10	0.54055	0.83110	0.92380
11	0.70945	0.54055	0.42380
12	0.16890	0.70945	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al1_12:

Atom	x	y	z
1	0.41890	0.95945	0.57620
2	0.45945	0.41890	0.07620
3	0.04055	0.45945	0.57620
4	0.58110	0.04055	0.07620
5	0.54055	0.58110	0.57620
6	0.95945	0.54055	0.07620
7	0.45945	0.04055	0.42380
8	0.41890	0.45945	0.92380
9	0.95945	0.41890	0.42380
10	0.54055	0.95945	0.92380
11	0.58110	0.54055	0.42380
12	0.04055	0.58110	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al1_13:

Atom	x	y	z
1	0.54055	0.33110	0.57620
2	0.20945	0.54055	0.07620
3	0.66890	0.20945	0.57620
4	0.45945	0.66890	0.07620
5	0.79055	0.45945	0.57620
6	0.33110	0.79055	0.07620
7	0.20945	0.66890	0.42380
8	0.54055	0.20945	0.92380
9	0.33110	0.54055	0.42380
10	0.79055	0.33110	0.92380
11	0.45945	0.79055	0.42380
12	0.66890	0.45945	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al1_14:

Atom	x	y	z
1	0.54055	0.83110	0.57620
2	0.70945	0.54055	0.07620
3	0.16890	0.70945	0.57620
4	0.45945	0.16890	0.07620
5	0.29055	0.45945	0.57620
6	0.83110	0.29055	0.07620
7	0.70945	0.16890	0.42380
8	0.54055	0.70945	0.92380
9	0.83110	0.54055	0.42380
10	0.29055	0.83110	0.92380
11	0.45945	0.29055	0.42380
12	0.16890	0.45945	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al1_15:

Atom	x	y	z
1	0.79055	0.33110	0.57620
2	0.45945	0.79055	0.07620
3	0.66890	0.45945	0.57620
4	0.20945	0.66890	0.07620
5	0.54055	0.20945	0.57620
6	0.33110	0.54055	0.07620
7	0.45945	0.66890	0.42380
8	0.79055	0.45945	0.92380
9	0.33110	0.79055	0.42380
10	0.54055	0.33110	0.92380
11	0.20945	0.54055	0.42380
12	0.66890	0.20945	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al1_16:

Atom	x	y	z
1	0.79055	0.58110	0.57620
2	0.20945	0.79055	0.07620
3	0.41890	0.20945	0.57620
4	0.20945	0.41890	0.07620
5	0.79055	0.20945	0.57620
6	0.58110	0.79055	0.07620
7	0.20945	0.41890	0.42380
8	0.79055	0.20945	0.92380
9	0.58110	0.79055	0.42380
10	0.79055	0.58110	0.92380
11	0.20945	0.79055	0.42380
12	0.41890	0.20945	0.92380

Set of atoms in the unit cell related by symmetry with the atom Al2_1:

Atom	x	y	z
1	0.14092	0.03185	0.25000
2	0.10907	0.14092	0.75000
3	0.96815	0.10907	0.25000
4	0.85908	0.96815	0.75000
5	0.89093	0.85908	0.25000
6	0.03185	0.89093	0.75000
7	0.10907	0.96815	0.75000
8	0.14092	0.10907	0.25000
9	0.03185	0.14092	0.75000
10	0.89093	0.03185	0.25000
11	0.85908	0.89093	0.75000
12	0.96815	0.85908	0.25000

Set of atoms in the unit cell related by symmetry with the atom Al2_2:

Atom	x	y	z
1	0.39093	0.03185	0.25000
2	0.35908	0.39093	0.75000
3	0.96815	0.35908	0.25000
4	0.60907	0.96815	0.75000
5	0.64092	0.60907	0.25000
6	0.03185	0.64092	0.75000
7	0.35908	0.96815	0.75000
8	0.39093	0.35908	0.25000
9	0.03185	0.39093	0.75000
10	0.64092	0.03185	0.25000
11	0.60907	0.64092	0.75000
12	0.96815	0.60907	0.25000

Set of atoms in the unit cell related by symmetry with the atom Al2_3:

Atom	x	y	z
1	0.14092	0.28185	0.25000
2	0.85907	0.14092	0.75000
3	0.71815	0.85907	0.25000
4	0.85908	0.71815	0.75000
5	0.14093	0.85908	0.25000
6	0.28185	0.14093	0.75000

Set of atoms in the unit cell related by symmetry with the atom Al2_4:

Atom	x	y	z
1	0.14092	0.53185	0.25000
2	0.60907	0.14092	0.75000
3	0.46815	0.60907	0.25000
4	0.85908	0.46815	0.75000
5	0.39093	0.85908	0.25000
6	0.53185	0.39093	0.75000
7	0.60907	0.46815	0.75000
8	0.14092	0.60907	0.25000
9	0.53185	0.14092	0.75000
10	0.39093	0.53185	0.25000
11	0.85908	0.39093	0.75000
12	0.46815	0.85908	0.25000

Set of atoms in the unit cell related by symmetry with the atom Al2_5:

Atom	x	y	z
1	0.14092	0.78185	0.25000
2	0.35907	0.14092	0.75000
3	0.21815	0.35907	0.25000
4	0.85908	0.21815	0.75000
5	0.64093	0.85908	0.25000
6	0.78185	0.64093	0.75000
7	0.35907	0.21815	0.75000
8	0.14092	0.35907	0.25000
9	0.78185	0.14092	0.75000
10	0.64093	0.78185	0.25000
11	0.85908	0.64093	0.75000
12	0.21815	0.85908	0.25000

Set of atoms in the unit cell related by symmetry with the atom Al2_6:

Atom	x	y	z
1	0.21815	0.10908	0.25000
2	0.10907	0.21815	0.75000
3	0.89092	0.10907	0.25000
4	0.78185	0.89092	0.75000
5	0.89093	0.78185	0.25000
6	0.10908	0.89093	0.75000

Set of atoms in the unit cell related by symmetry with the atom Al2_7:

Atom	x	y	z
1	0.28185	0.89092	0.75000
2	0.39093	0.28185	0.25000
3	0.10908	0.39093	0.75000
4	0.71815	0.10908	0.25000
5	0.60907	0.71815	0.75000
6	0.89092	0.60907	0.25000
7	0.39093	0.10908	0.25000
8	0.28185	0.39093	0.75000
9	0.89092	0.28185	0.25000
10	0.60907	0.89092	0.75000
11	0.71815	0.60907	0.25000
12	0.10908	0.71815	0.75000

Set of atoms in the unit cell related by symmetry with the atom Al2_8:

Atom	x	y	z
1	0.39093	0.78185	0.25000
2	0.60908	0.39093	0.75000
3	0.21815	0.60908	0.25000
4	0.60907	0.21815	0.75000
5	0.39092	0.60907	0.25000
6	0.78185	0.39092	0.75000

Set of atoms in the unit cell related by symmetry with the atom Al2_9:

Atom	x	y	z
1	0.46815	0.10908	0.25000
2	0.35907	0.46815	0.75000
3	0.89092	0.35907	0.25000
4	0.53185	0.89092	0.75000
5	0.64093	0.53185	0.25000
6	0.10908	0.64093	0.75000
7	0.35907	0.89092	0.75000
8	0.46815	0.35907	0.25000
9	0.10908	0.46815	0.75000
10	0.64093	0.10908	0.25000
11	0.53185	0.64093	0.75000
12	0.89092	0.53185	0.25000

Set of atoms in the unit cell related by symmetry with the atom Al2_10:

Atom	x	y	z
1	0.64092	0.28185	0.25000
2	0.35907	0.64092	0.75000
3	0.71815	0.35907	0.25000
4	0.35908	0.71815	0.75000
5	0.64093	0.35908	0.25000
6	0.28185	0.64093	0.75000

Set of atoms in the unit cell related by symmetry with the atom Al3_1:

Atom	x	y	z
1	0.08333	0.16667	0.01160
2	0.91666	0.08333	0.51160
3	0.83333	0.91666	0.01160
4	0.91667	0.83333	0.51160
5	0.08334	0.91667	0.01160
6	0.16667	0.08334	0.51160
7	0.91666	0.83333	0.98840
8	0.08333	0.91666	0.48840
9	0.16667	0.08333	0.98840
10	0.08334	0.16667	0.48840
11	0.91667	0.08334	0.98840
12	0.83333	0.91667	0.48840

Set of atoms in the unit cell related by symmetry with the atom Al3_2:

Atom	x	y	z
1	0.33333	0.16667	0.01160
2	0.16666	0.33333	0.51160
3	0.83333	0.16666	0.01160
4	0.66667	0.83333	0.51160
5	0.83334	0.66667	0.01160
6	0.16667	0.83334	0.51160
7	0.16666	0.83333	0.98840
8	0.33333	0.16666	0.48840
9	0.16667	0.33333	0.98840
10	0.83334	0.16667	0.48840
11	0.66667	0.83334	0.98840
12	0.83333	0.66667	0.48840

Set of atoms in the unit cell related by symmetry with the atom Al3_3:

Atom	x	y	z
1	0.58333	0.16667	0.01160
2	0.41666	0.58333	0.51160
3	0.83333	0.41666	0.01160
4	0.41667	0.83333	0.51160
5	0.58334	0.41667	0.01160
6	0.16667	0.58334	0.51160
7	0.41666	0.83333	0.98840
8	0.58333	0.41666	0.48840
9	0.16667	0.58333	0.98840
10	0.58334	0.16667	0.48840
11	0.41667	0.58334	0.98840
12	0.83333	0.41667	0.48840

Set of atoms in the unit cell related by symmetry with the atom Al3_4:

Atom	x	y	z
1	0.08333	0.41667	0.01160
2	0.66666	0.08333	0.51160
3	0.58333	0.66666	0.01160
4	0.91667	0.58333	0.51160
5	0.33334	0.91667	0.01160
6	0.41667	0.33334	0.51160
7	0.66666	0.58333	0.98840
8	0.08333	0.66666	0.48840
9	0.41667	0.08333	0.98840
10	0.33334	0.41667	0.48840
11	0.91667	0.33334	0.98840
12	0.58333	0.91667	0.48840

Set of atoms in the unit cell related by symmetry with the atom Al3_5:

Atom	x	y	z
1	0.08333	0.66666	0.01160
2	0.41667	0.08333	0.51160
3	0.33334	0.41667	0.01160
4	0.91667	0.33334	0.51160
5	0.58333	0.91667	0.01160
6	0.66666	0.58333	0.51160
7	0.41667	0.33334	0.98840
8	0.08333	0.41667	0.48840
9	0.66666	0.08333	0.98840
10	0.58333	0.66666	0.48840
11	0.91667	0.58333	0.98840
12	0.33334	0.91667	0.48840

Set of atoms in the unit cell related by symmetry with the atom Al3_6:

Atom	x	y	z
1	0.33333	0.66666	0.01160
2	0.66667	0.33333	0.51160
3	0.66667	0.33334	0.98840
4	0.33333	0.66667	0.48840

Set of atoms in the unit cell related by symmetry with the atom Al4_1:

Atom	x	y	z
1	0.00000	0.00000	0.25000
2	0.00000	0.00000	0.75000

Set of atoms in the unit cell related by symmetry with the atom Al4_2:

Atom	x	y	z
1	0.25000	0.00000	0.25000
2	0.25000	0.25000	0.75000
3	0.00000	0.25000	0.25000
4	0.75000	0.00000	0.75000
5	0.75000	0.75000	0.25000
6	0.00000	0.75000	0.75000
7	0.25000	0.00000	0.75000
8	0.25000	0.25000	0.25000
9	0.00000	0.25000	0.75000
10	0.75000	0.00000	0.25000
11	0.75000	0.75000	0.75000
12	0.00000	0.75000	0.25000

Set of atoms in the unit cell related by symmetry with the atom Al4_3:

Atom	x	y	z
1	0.50000	0.00000	0.25000
2	0.50000	0.50000	0.75000
3	0.00000	0.50000	0.25000
4	0.50000	0.00000	0.75000
5	0.50000	0.50000	0.25000
6	0.00000	0.50000	0.75000

Set of atoms in the unit cell related by symmetry with the atom Al4_4:

Atom	x	y	z
1	0.25000	0.50000	0.25000
2	0.75000	0.25000	0.75000
3	0.50000	0.75000	0.25000
4	0.75000	0.50000	0.75000
5	0.25000	0.75000	0.25000
6	0.50000	0.25000	0.75000

Set of atoms in the unit cell related by symmetry with the atom Al4_5:

Atom	x	y	z
1	0.50000	0.25000	0.25000
2	0.25000	0.50000	0.75000
3	0.75000	0.25000	0.25000
4	0.50000	0.75000	0.75000
5	0.75000	0.50000	0.25000
6	0.25000	0.75000	0.75000

[Hide]

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Gd1	Gd	0.048210	0.096420	0.250000	6	M_x,0,M_z	-2.11988	0.0	-6.67129	7.00
Gd2	Gd	0.201790	0.153580	0.750000	12	M_x,M_y,M_z	-1.51949	3.63496	-5.28724	7.00
Gd3	Gd	0.048210	0.346430	0.250000	12	M_x,M_y,M_z	-7.9801	-2.9475	-0.38941	7.00
Gd4	Gd	0.798210	0.596420	0.250000	6	M_x,0,M_z	6.92468	0.0	1.0241	7.00
Gd5	Gd	0.153570	0.451790	0.250000	12	M_x,M_y,M_z	-6.38226	-0.6748	3.48111	7.00
Gd6	Gd	0.096420	0.298210	0.750000	12	M_x,M_y,M_z	-6.91607	-1.39489	-2.97815	7.00
Gd7	Gd	0.048210	0.451790	0.250000	12	M_x,M_y,M_z	-5.39665	-1.68623	5.11203	7.00
Gd8	Gd	0.201790	0.653580	0.750000	12	M_x,M_y,M_z	2.68554	3.36482	6.28508	7.00
Gd9	Gd	0.548210	0.096420	0.250000	6	M_x,0,M_z	-1.69436	0.0	6.79184	7.00
Gd10	Gd	0.298210	0.596420	0.250000	6	M_x,0,M_z	-1.83337	0.0	6.75565	7.00

[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: