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,z,+1	{ 4⁺₀₀₁ \| 0 }
3	y,-x,z,+1	{ 4^-₀₀₁ \| 0 }
4	-y,-x,-z,+1	{ 2_1-10 \| 0 }
5	y,x,-z,+1	{ 2₁₁₀ \| 0 }
6	-x,-y,z,+1	{ 2₀₀₁ \| 0 }
7	x,-y,-z,+1	{ 2₁₀₀ \| 0 }
8	-x,y,-z,+1	{ 2₀₁₀ \| 0 }
9	-x,-y,-z+1/2,+1	{ -1 \| 0 0 1/2 }
10	y,-x,-z+1/2,+1	{ -4⁺₀₀₁ \| 0 0 1/2 }
11	-y,x,-z+1/2,+1	{ -4^-₀₀₁ \| 0 0 1/2 }
12	y,x,z+1/2,+1	{ m_1-10 \| 0 0 1/2 }
13	-y,-x,z+1/2,+1	{ m₁₁₀ \| 0 0 1/2 }
14	x,y,-z+1/2,+1	{ m₀₀₁ \| 0 0 1/2 }
15	-x,y,z+1/2,+1	{ m₁₀₀ \| 0 0 1/2 }
16	x,-y,z+1/2,+1	{ m₀₁₀ \| 0 0 1/2 }
(0,1/2,1/2) + set click here to show and hide
17	x,y+1/2,z+1/2,+1	{ 1 \| 0 1/2 1/2 }
18	-y,x+1/2,z+1/2,+1	{ 4⁺₀₀₁ \| 0 1/2 1/2 }
19	y,-x+1/2,z+1/2,+1	{ 4^-₀₀₁ \| 0 1/2 1/2 }
20	-y,-x+1/2,-z+1/2,+1	{ 2_1-10 \| 0 1/2 1/2 }
21	y,x+1/2,-z+1/2,+1	{ 2₁₁₀ \| 0 1/2 1/2 }
22	-x,-y+1/2,z+1/2,+1	{ 2₀₀₁ \| 0 1/2 1/2 }
23	x,-y+1/2,-z+1/2,+1	{ 2₁₀₀ \| 0 1/2 1/2 }
24	-x,y+1/2,-z+1/2,+1	{ 2₀₁₀ \| 0 1/2 1/2 }
25	-x,-y+1/2,-z,+1	{ -1 \| 0 1/2 0 }
26	y,-x+1/2,-z,+1	{ -4⁺₀₀₁ \| 0 1/2 0 }
27	-y,x+1/2,-z,+1	{ -4^-₀₀₁ \| 0 1/2 0 }
28	y,x+1/2,z,+1	{ m_1-10 \| 0 1/2 0 }
29	-y,-x+1/2,z,+1	{ m₁₁₀ \| 0 1/2 0 }
30	x,y+1/2,-z,+1	{ m₀₀₁ \| 0 1/2 0 }
31	-x,y+1/2,z,+1	{ m₁₀₀ \| 0 1/2 0 }
32	x,-y+1/2,z,+1	{ m₀₁₀ \| 0 1/2 0 }
(1/2,0,1/2) + set click here to show and hide
33	x+1/2,y,z+1/2,+1	{ 1 \| 1/2 0 1/2 }
34	-y+1/2,x,z+1/2,+1	{ 4⁺₀₀₁ \| 1/2 0 1/2 }
35	y+1/2,-x,z+1/2,+1	{ 4^-₀₀₁ \| 1/2 0 1/2 }
36	-y+1/2,-x,-z+1/2,+1	{ 2_1-10 \| 1/2 0 1/2 }
37	y+1/2,x,-z+1/2,+1	{ 2₁₁₀ \| 1/2 0 1/2 }
38	-x+1/2,-y,z+1/2,+1	{ 2₀₀₁ \| 1/2 0 1/2 }
39	x+1/2,-y,-z+1/2,+1	{ 2₁₀₀ \| 1/2 0 1/2 }
40	-x+1/2,y,-z+1/2,+1	{ 2₀₁₀ \| 1/2 0 1/2 }
41	-x+1/2,-y,-z,+1	{ -1 \| 1/2 0 0 }
42	y+1/2,-x,-z,+1	{ -4⁺₀₀₁ \| 1/2 0 0 }
43	-y+1/2,x,-z,+1	{ -4^-₀₀₁ \| 1/2 0 0 }
44	y+1/2,x,z,+1	{ m_1-10 \| 1/2 0 0 }
45	-y+1/2,-x,z,+1	{ m₁₁₀ \| 1/2 0 0 }
46	x+1/2,y,-z,+1	{ m₀₀₁ \| 1/2 0 0 }
47	-x+1/2,y,z,+1	{ m₁₀₀ \| 1/2 0 0 }
48	x+1/2,-y,z,+1	{ m₀₁₀ \| 1/2 0 0 }
(1/2,1/2,0) + set click here to show and hide
49	x+1/2,y+1/2,z,+1	{ 1 \| 1/2 1/2 0 }
50	-y+1/2,x+1/2,z,+1	{ 4⁺₀₀₁ \| 1/2 1/2 0 }
51	y+1/2,-x+1/2,z,+1	{ 4^-₀₀₁ \| 1/2 1/2 0 }
52	-y+1/2,-x+1/2,-z,+1	{ 2_1-10 \| 1/2 1/2 0 }
53	y+1/2,x+1/2,-z,+1	{ 2₁₁₀ \| 1/2 1/2 0 }
54	-x+1/2,-y+1/2,z,+1	{ 2₀₀₁ \| 1/2 1/2 0 }
55	x+1/2,-y+1/2,-z,+1	{ 2₁₀₀ \| 1/2 1/2 0 }
56	-x+1/2,y+1/2,-z,+1	{ 2₀₁₀ \| 1/2 1/2 0 }
57	-x+1/2,-y+1/2,-z+1/2,+1	{ -1 \| 1/2 1/2 1/2 }
58	y+1/2,-x+1/2,-z+1/2,+1	{ -4⁺₀₀₁ \| 1/2 1/2 1/2 }
59	-y+1/2,x+1/2,-z+1/2,+1	{ -4^-₀₀₁ \| 1/2 1/2 1/2 }
60	y+1/2,x+1/2,z+1/2,+1	{ m_1-10 \| 1/2 1/2 1/2 }
61	-y+1/2,-x+1/2,z+1/2,+1	{ m₁₁₀ \| 1/2 1/2 1/2 }
62	x+1/2,y+1/2,-z+1/2,+1	{ m₀₀₁ \| 1/2 1/2 1/2 }
63	-x+1/2,y+1/2,z+1/2,+1	{ m₁₀₀ \| 1/2 1/2 1/2 }
64	x+1/2,-y+1/2,z+1/2,+1	{ m₀₁₀ \| 1/2 1/2 1/2 }
(0,0,1/2)' + set click here to show and hide
65	x,y,z+1/2,-1	{ 1' \| 0 0 1/2 }
66	-y,x,z+1/2,-1	{ 4'⁺₀₀₁ \| 0 0 1/2 }
67	y,-x,z+1/2,-1	{ 4'^-₀₀₁ \| 0 0 1/2 }
68	-y,-x,-z+1/2,-1	{ 2'_1-10 \| 0 0 1/2 }
69	y,x,-z+1/2,-1	{ 2'₁₁₀ \| 0 0 1/2 }
70	-x,-y,z+1/2,-1	{ 2'₀₀₁ \| 0 0 1/2 }
71	x,-y,-z+1/2,-1	{ 2'₁₀₀ \| 0 0 1/2 }
72	-x,y,-z+1/2,-1	{ 2'₀₁₀ \| 0 0 1/2 }
73	-x,-y,-z,-1	{ -1' \| 0 }
74	y,-x,-z,-1	{ -4'⁺₀₀₁ \| 0 }
75	-y,x,-z,-1	{ -4'^-₀₀₁ \| 0 }
76	y,x,z,-1	{ m'_1-10 \| 0 }
77	-y,-x,z,-1	{ m'₁₁₀ \| 0 }
78	x,y,-z,-1	{ m'₀₀₁ \| 0 }
79	-x,y,z,-1	{ m'₁₀₀ \| 0 }
80	x,-y,z,-1	{ m'₀₁₀ \| 0 }
(0,1/2,0)' + set click here to show and hide
81	x,y+1/2,z,-1	{ 1' \| 0 1/2 0 }
82	-y,x+1/2,z,-1	{ 4'⁺₀₀₁ \| 0 1/2 0 }
83	y,-x+1/2,z,-1	{ 4'^-₀₀₁ \| 0 1/2 0 }
84	-y,-x+1/2,-z,-1	{ 2'_1-10 \| 0 1/2 0 }
85	y,x+1/2,-z,-1	{ 2'₁₁₀ \| 0 1/2 0 }
86	-x,-y+1/2,z,-1	{ 2'₀₀₁ \| 0 1/2 0 }
87	x,-y+1/2,-z,-1	{ 2'₁₀₀ \| 0 1/2 0 }
88	-x,y+1/2,-z,-1	{ 2'₀₁₀ \| 0 1/2 0 }
89	-x,-y+1/2,-z+1/2,-1	{ -1' \| 0 1/2 1/2 }
90	y,-x+1/2,-z+1/2,-1	{ -4'⁺₀₀₁ \| 0 1/2 1/2 }
91	-y,x+1/2,-z+1/2,-1	{ -4'^-₀₀₁ \| 0 1/2 1/2 }
92	y,x+1/2,z+1/2,-1	{ m'_1-10 \| 0 1/2 1/2 }
93	-y,-x+1/2,z+1/2,-1	{ m'₁₁₀ \| 0 1/2 1/2 }
94	x,y+1/2,-z+1/2,-1	{ m'₀₀₁ \| 0 1/2 1/2 }
95	-x,y+1/2,z+1/2,-1	{ m'₁₀₀ \| 0 1/2 1/2 }
96	x,-y+1/2,z+1/2,-1	{ m'₀₁₀ \| 0 1/2 1/2 }
(1/2,0,0)' + set click here to show and hide
97	x+1/2,y,z,-1	{ 1' \| 1/2 0 0 }
98	-y+1/2,x,z,-1	{ 4'⁺₀₀₁ \| 1/2 0 0 }
99	y+1/2,-x,z,-1	{ 4'^-₀₀₁ \| 1/2 0 0 }
100	-y+1/2,-x,-z,-1	{ 2'_1-10 \| 1/2 0 0 }
101	y+1/2,x,-z,-1	{ 2'₁₁₀ \| 1/2 0 0 }
102	-x+1/2,-y,z,-1	{ 2'₀₀₁ \| 1/2 0 0 }
103	x+1/2,-y,-z,-1	{ 2'₁₀₀ \| 1/2 0 0 }
104	-x+1/2,y,-z,-1	{ 2'₀₁₀ \| 1/2 0 0 }
105	-x+1/2,-y,-z+1/2,-1	{ -1' \| 1/2 0 1/2 }
106	y+1/2,-x,-z+1/2,-1	{ -4'⁺₀₀₁ \| 1/2 0 1/2 }
107	-y+1/2,x,-z+1/2,-1	{ -4'^-₀₀₁ \| 1/2 0 1/2 }
108	y+1/2,x,z+1/2,-1	{ m'_1-10 \| 1/2 0 1/2 }
109	-y+1/2,-x,z+1/2,-1	{ m'₁₁₀ \| 1/2 0 1/2 }
110	x+1/2,y,-z+1/2,-1	{ m'₀₀₁ \| 1/2 0 1/2 }
111	-x+1/2,y,z+1/2,-1	{ m'₁₀₀ \| 1/2 0 1/2 }
112	x+1/2,-y,z+1/2,-1	{ m'₀₁₀ \| 1/2 0 1/2 }
(1/2,1/2,1/2)' + set click here to show and hide
113	x+1/2,y+1/2,z+1/2,-1	{ 1' \| 1/2 1/2 1/2 }
114	-y+1/2,x+1/2,z+1/2,-1	{ 4'⁺₀₀₁ \| 1/2 1/2 1/2 }
115	y+1/2,-x+1/2,z+1/2,-1	{ 4'^-₀₀₁ \| 1/2 1/2 1/2 }
116	-y+1/2,-x+1/2,-z+1/2,-1	{ 2'_1-10 \| 1/2 1/2 1/2 }
117	y+1/2,x+1/2,-z+1/2,-1	{ 2'₁₁₀ \| 1/2 1/2 1/2 }
118	-x+1/2,-y+1/2,z+1/2,-1	{ 2'₀₀₁ \| 1/2 1/2 1/2 }
119	x+1/2,-y+1/2,-z+1/2,-1	{ 2'₁₀₀ \| 1/2 1/2 1/2 }
120	-x+1/2,y+1/2,-z+1/2,-1	{ 2'₀₁₀ \| 1/2 1/2 1/2 }
121	-x+1/2,-y+1/2,-z,-1	{ -1' \| 1/2 1/2 0 }
122	y+1/2,-x+1/2,-z,-1	{ -4'⁺₀₀₁ \| 1/2 1/2 0 }
123	-y+1/2,x+1/2,-z,-1	{ -4'^-₀₀₁ \| 1/2 1/2 0 }
124	y+1/2,x+1/2,z,-1	{ m'_1-10 \| 1/2 1/2 0 }
125	-y+1/2,-x+1/2,z,-1	{ m'₁₁₀ \| 1/2 1/2 0 }
126	x+1/2,y+1/2,-z,-1	{ m'₀₀₁ \| 1/2 1/2 0 }
127	-x+1/2,y+1/2,z,-1	{ m'₁₀₀ \| 1/2 1/2 0 }
128	x+1/2,-y+1/2,z,-1	{ m'₀₁₀ \| 1/2 1/2 0 }

[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,z,+1	4⁺₀₀₁
3	y,-x,z,+1	4^-₀₀₁
4	-y,-x,-z,+1	2_1-10
5	y,x,-z,+1	2₁₁₀
6	-x,-y,z,+1	2₀₀₁
7	x,-y,-z,+1	2₁₀₀
8	-x,y,-z,+1	2₀₁₀
9	-x,-y,-z,+1	-1
10	y,-x,-z,+1	-4⁺₀₀₁
11	-y,x,-z,+1	-4^-₀₀₁
12	y,x,z,+1	m_1-10
13	-y,-x,z,+1	m₁₁₀
14	x,y,-z,+1	m₀₀₁
15	-x,y,z,+1	m₁₀₀
16	x,-y,z,+1	m₀₁₀
1' + set click here to show and hide
17	x,y,z,-1	1'
18	-y,x,z,-1	4'⁺₀₀₁
19	y,-x,z,-1	4'^-₀₀₁
20	-y,-x,-z,-1	2'_1-10
21	y,x,-z,-1	2'₁₁₀
22	-x,-y,z,-1	2'₀₀₁
23	x,-y,-z,-1	2'₁₀₀
24	-x,y,-z,-1	2'₀₁₀
25	-x,-y,-z,-1	-1'
26	y,-x,-z,-1	-4'⁺₀₀₁
27	-y,x,-z,-1	-4'^-₀₀₁
28	y,x,z,-1	m'_1-10
29	-y,-x,z,-1	m'₁₁₀
30	x,y,-z,-1	m'₀₀₁
31	-x,y,z,-1	m'₁₀₀
32	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\|
Tb1	Tb	0.00000	0.00000	0.15450	16	0,0,m_z	0.0	0.0	9.6(5)	9.60

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Co1	Co	0.00000	0.00000	0.00000	8
Ga1	Ga	0.00000	0.25000	0.05950	32
Ga2	Ga	0.00000	0.25000	0.25000	16
Ga3	Ga	0.25000	0.25000	0.14650	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 Tb1:

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.15450	0,0,m_z	0.00000	0.00000	9.60000
2	0.00000	0.00000	0.84550	0,0,-m_z	0.00000	0.00000	-9.60000
(0,1/2,1/2) + set click here to show and hide
3	0.00000	0.50000	0.65450	0,0,m_z	0.00000	0.00000	9.60000
4	0.00000	0.50000	0.34550	0,0,-m_z	0.00000	0.00000	-9.60000
(1/2,0,1/2) + set click here to show and hide
5	0.50000	0.00000	0.65450	0,0,m_z	0.00000	0.00000	9.60000
6	0.50000	0.00000	0.34550	0,0,-m_z	0.00000	0.00000	-9.60000
(1/2,1/2,0) + set click here to show and hide
7	0.50000	0.50000	0.15450	0,0,m_z	0.00000	0.00000	9.60000
8	0.50000	0.50000	0.84550	0,0,-m_z	0.00000	0.00000	-9.60000
(0,0,1/2)' + set click here to show and hide
9	0.00000	0.00000	0.65450	0,0,-m_z	0.00000	0.00000	-9.60000
10	0.00000	0.00000	0.34550	0,0,m_z	0.00000	0.00000	9.60000
(0,1/2,0)' + set click here to show and hide
11	0.00000	0.50000	0.15450	0,0,-m_z	0.00000	0.00000	-9.60000
12	0.00000	0.50000	0.84550	0,0,m_z	0.00000	0.00000	9.60000
(1/2,0,0)' + set click here to show and hide
13	0.50000	0.00000	0.15450	0,0,-m_z	0.00000	0.00000	-9.60000
14	0.50000	0.00000	0.84550	0,0,m_z	0.00000	0.00000	9.60000
(1/2,1/2,1/2)' + set click here to show and hide
15	0.50000	0.50000	0.65450	0,0,-m_z	0.00000	0.00000	-9.60000
16	0.50000	0.50000	0.34550	0,0,m_z	0.00000	0.00000	9.60000

Non-magnetic atoms:

Set of atoms in the unit cell related by symmetry with the atom Co1:

Atom	x	y	z
1	0.00000	0.00000	0.00000
(0,1/2,1/2) + set click here to show and hide
2	0.00000	0.50000	0.50000
(1/2,0,1/2) + set click here to show and hide
3	0.50000	0.00000	0.50000
(1/2,1/2,0) + set click here to show and hide
4	0.50000	0.50000	0.00000
(0,0,1/2)' + set click here to show and hide
5	0.00000	0.00000	0.50000
(0,1/2,0)' + set click here to show and hide
6	0.00000	0.50000	0.00000
(1/2,0,0)' + set click here to show and hide
7	0.50000	0.00000	0.00000
(1/2,1/2,1/2)' + set click here to show and hide
8	0.50000	0.50000	0.50000

Set of atoms in the unit cell related by symmetry with the atom Ga1:

Atom	x	y	z
1	0.00000	0.25000	0.05950
2	0.75000	0.00000	0.05950
3	0.75000	0.00000	0.94050
4	0.00000	0.75000	0.94050
(0,1/2,1/2) + set click here to show and hide
5	0.00000	0.75000	0.55950
6	0.75000	0.50000	0.55950
7	0.75000	0.50000	0.44050
8	0.00000	0.25000	0.44050
(1/2,0,1/2) + set click here to show and hide
9	0.50000	0.25000	0.55950
10	0.25000	0.00000	0.55950
11	0.25000	0.00000	0.44050
12	0.50000	0.75000	0.44050
(1/2,1/2,0) + set click here to show and hide
13	0.50000	0.75000	0.05950
14	0.25000	0.50000	0.05950
15	0.25000	0.50000	0.94050
16	0.50000	0.25000	0.94050
(0,0,1/2)' + set click here to show and hide
17	0.00000	0.25000	0.55950
18	0.75000	0.00000	0.55950
19	0.75000	0.00000	0.44050
20	0.00000	0.75000	0.44050
(0,1/2,0)' + set click here to show and hide
21	0.00000	0.75000	0.05950
22	0.75000	0.50000	0.05950
23	0.75000	0.50000	0.94050
24	0.00000	0.25000	0.94050
(1/2,0,0)' + set click here to show and hide
25	0.50000	0.25000	0.05950
26	0.25000	0.00000	0.05950
27	0.25000	0.00000	0.94050
28	0.50000	0.75000	0.94050
(1/2,1/2,1/2)' + set click here to show and hide
29	0.50000	0.75000	0.55950
30	0.25000	0.50000	0.55950
31	0.25000	0.50000	0.44050
32	0.50000	0.25000	0.44050

Set of atoms in the unit cell related by symmetry with the atom Ga2:

Atom	x	y	z
1	0.00000	0.25000	0.25000
2	0.75000	0.00000	0.25000
(0,1/2,1/2) + set click here to show and hide
3	0.00000	0.75000	0.75000
4	0.75000	0.50000	0.75000
(1/2,0,1/2) + set click here to show and hide
5	0.50000	0.25000	0.75000
6	0.25000	0.00000	0.75000
(1/2,1/2,0) + set click here to show and hide
7	0.50000	0.75000	0.25000
8	0.25000	0.50000	0.25000
(0,0,1/2)' + set click here to show and hide
9	0.00000	0.25000	0.75000
10	0.75000	0.00000	0.75000
(0,1/2,0)' + set click here to show and hide
11	0.00000	0.75000	0.25000
12	0.75000	0.50000	0.25000
(1/2,0,0)' + set click here to show and hide
13	0.50000	0.25000	0.25000
14	0.25000	0.00000	0.25000
(1/2,1/2,1/2)' + set click here to show and hide
15	0.50000	0.75000	0.75000
16	0.25000	0.50000	0.75000

Set of atoms in the unit cell related by symmetry with the atom Ga3:

Atom	x	y	z
1	0.25000	0.25000	0.14650
2	0.75000	0.75000	0.85350
(0,1/2,1/2) + set click here to show and hide
3	0.25000	0.75000	0.64650
4	0.75000	0.25000	0.35350
(1/2,0,1/2) + set click here to show and hide
5	0.75000	0.25000	0.64650
6	0.25000	0.75000	0.35350
(1/2,1/2,0) + set click here to show and hide
7	0.75000	0.75000	0.14650
8	0.25000	0.25000	0.85350
(0,0,1/2)' + set click here to show and hide
9	0.25000	0.25000	0.64650
10	0.75000	0.75000	0.35350
(0,1/2,0)' + set click here to show and hide
11	0.25000	0.75000	0.14650
12	0.75000	0.25000	0.85350
(1/2,0,0)' + set click here to show and hide
13	0.75000	0.25000	0.14650
14	0.25000	0.75000	0.85350
(1/2,1/2,1/2)' + set click here to show and hide
15	0.75000	0.75000	0.64650
16	0.25000	0.25000	0.35350

[Hide]

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Tb1	Tb	0.00000	0.00000	0.15450	16	0,0,m_z	0.0	0.0	9.6(5)	9.60

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

label	dim. small irrep	dim. full irrep	action
mA3-	1	1	primary

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

Tb₂CoGa₈ (#1.87)

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

Tb2CoGa8 (#1.87)

Tb₂CoGa₈ (#1.87)