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	x,-y+1/2,-z+1/2,+1	{ 2₁₀₀ \| 0 1/2 1/2 }
3	-x+1/2,y,-z+1/2,+1	{ 2₀₁₀ \| 1/2 0 1/2 }
4	-x+1/2,-y+1/2,z,+1	{ 2₀₀₁ \| 1/2 1/2 0 }
5	y,z,x,+1	{ 3^-₁₁₁ \| 0 }
6	y,-z+1/2,-x+1/2,+1	{ 3^-_-1-11 \| 0 1/2 1/2 }
7	-y+1/2,z,-x+1/2,+1	{ 3^-_1-1-1 \| 1/2 0 1/2 }
8	-y+1/2,-z+1/2,x,+1	{ 3^-_-11-1 \| 1/2 1/2 0 }
9	z,x,y,+1	{ 3⁺₁₁₁ \| 0 }
10	z,-x+1/2,-y+1/2,+1	{ 3⁺_-11-1 \| 0 1/2 1/2 }
11	-z+1/2,x,-y+1/2,+1	{ 3⁺_-1-11 \| 1/2 0 1/2 }
12	-z+1/2,-x+1/2,y,+1	{ 3⁺_1-1-1 \| 1/2 1/2 0 }
13	-y+1/2,-x+1/2,-z+1/2,+1	{ 2_1-10 \| 1/2 1/2 1/2 }
14	-y+1/2,x,z,+1	{ 4⁺₀₀₁ \| 1/2 0 0 }
15	y,-x+1/2,z,+1	{ 4^-₀₀₁ \| 0 1/2 0 }
16	y,x,-z+1/2,+1	{ 2₁₁₀ \| 0 0 1/2 }
17	-x+1/2,-z+1/2,-y+1/2,+1	{ 2_01-1 \| 1/2 1/2 1/2 }
18	-x+1/2,z,y,+1	{ 2₀₁₁ \| 1/2 0 0 }
19	x,-z+1/2,y,+1	{ 4⁺₁₀₀ \| 0 1/2 0 }
20	x,z,-y+1/2,+1	{ 4^-₁₀₀ \| 0 0 1/2 }
21	-z+1/2,-y+1/2,-x+1/2,+1	{ 2_-101 \| 1/2 1/2 1/2 }
22	-z+1/2,y,x,+1	{ 4^-₀₁₀ \| 1/2 0 0 }
23	z,-y+1/2,x,+1	{ 2₁₀₁ \| 0 1/2 0 }
24	z,y,-x+1/2,+1	{ 4⁺₀₁₀ \| 0 0 1/2 }
25	-x,-y,-z,+1	{ -1 \| 0 }
26	-x,y+1/2,z+1/2,+1	{ m₁₀₀ \| 0 1/2 1/2 }
27	x+1/2,-y,z+1/2,+1	{ m₀₁₀ \| 1/2 0 1/2 }
28	x+1/2,y+1/2,-z,+1	{ m₀₀₁ \| 1/2 1/2 0 }
29	-y,-z,-x,+1	{ -3^-₁₁₁ \| 0 }
30	-y,z+1/2,x+1/2,+1	{ -3^-_-1-11 \| 0 1/2 1/2 }
31	y+1/2,-z,x+1/2,+1	{ -3^-_1-1-1 \| 1/2 0 1/2 }
32	y+1/2,z+1/2,-x,+1	{ -3^-_-11-1 \| 1/2 1/2 0 }
33	-z,-x,-y,+1	{ -3⁺₁₁₁ \| 0 }
34	-z,x+1/2,y+1/2,+1	{ -3⁺_-11-1 \| 0 1/2 1/2 }
35	z+1/2,-x,y+1/2,+1	{ -3⁺_-1-11 \| 1/2 0 1/2 }
36	z+1/2,x+1/2,-y,+1	{ -3⁺_1-1-1 \| 1/2 1/2 0 }
37	y+1/2,x+1/2,z+1/2,+1	{ m_1-10 \| 1/2 1/2 1/2 }
38	y+1/2,-x,-z,+1	{ -4⁺₀₀₁ \| 1/2 0 0 }
39	-y,x+1/2,-z,+1	{ -4^-₀₀₁ \| 0 1/2 0 }
40	-y,-x,z+1/2,+1	{ m₁₁₀ \| 0 0 1/2 }
41	x+1/2,z+1/2,y+1/2,+1	{ m_01-1 \| 1/2 1/2 1/2 }
42	x+1/2,-z,-y,+1	{ m₀₁₁ \| 1/2 0 0 }
43	-x,z+1/2,-y,+1	{ -4⁺₁₀₀ \| 0 1/2 0 }
44	-x,-z,y+1/2,+1	{ -4^-₁₀₀ \| 0 0 1/2 }
45	z+1/2,y+1/2,x+1/2,+1	{ m_-101 \| 1/2 1/2 1/2 }
46	z+1/2,-y,-x,+1	{ -4^-₀₁₀ \| 1/2 0 0 }
47	-z,y+1/2,-x,+1	{ m₁₀₁ \| 0 1/2 0 }
48	-z,-y,x+1/2,+1	{ -4⁺₀₁₀ \| 0 0 1/2 }
49	x+1/2,y+1/2,z+1/2,-1	{ 1' \| 1/2 1/2 1/2 }
50	x+1/2,-y,-z,-1	{ 2'₁₀₀ \| 1/2 0 0 }
51	-x,y+1/2,-z,-1	{ 2'₀₁₀ \| 0 1/2 0 }
52	-x,-y,z+1/2,-1	{ 2'₀₀₁ \| 0 0 1/2 }
53	y+1/2,z+1/2,x+1/2,-1	{ 3'^-₁₁₁ \| 1/2 1/2 1/2 }
54	y+1/2,-z,-x,-1	{ 3'^-_-1-11 \| 1/2 0 0 }
55	-y,z+1/2,-x,-1	{ 3'^-_1-1-1 \| 0 1/2 0 }
56	-y,-z,x+1/2,-1	{ 3'^-_-11-1 \| 0 0 1/2 }
57	z+1/2,x+1/2,y+1/2,-1	{ 3'⁺₁₁₁ \| 1/2 1/2 1/2 }
58	z+1/2,-x,-y,-1	{ 3'⁺_-11-1 \| 1/2 0 0 }
59	-z,x+1/2,-y,-1	{ 3'⁺_-1-11 \| 0 1/2 0 }
60	-z,-x,y+1/2,-1	{ 3'⁺_1-1-1 \| 0 0 1/2 }
61	-y,-x,-z,-1	{ 2'_1-10 \| 0 }
62	-y,x+1/2,z+1/2,-1	{ 4'⁺₀₀₁ \| 0 1/2 1/2 }
63	y+1/2,-x,z+1/2,-1	{ 4'^-₀₀₁ \| 1/2 0 1/2 }
64	y+1/2,x+1/2,-z,-1	{ 2'₁₁₀ \| 1/2 1/2 0 }
65	-x,-z,-y,-1	{ 2'_01-1 \| 0 }
66	-x,z+1/2,y+1/2,-1	{ 2'₀₁₁ \| 0 1/2 1/2 }
67	x+1/2,-z,y+1/2,-1	{ 4'⁺₁₀₀ \| 1/2 0 1/2 }
68	x+1/2,z+1/2,-y,-1	{ 4'^-₁₀₀ \| 1/2 1/2 0 }
69	-z,-y,-x,-1	{ 2'_-101 \| 0 }
70	-z,y+1/2,x+1/2,-1	{ 4'^-₀₁₀ \| 0 1/2 1/2 }
71	z+1/2,-y,x+1/2,-1	{ 2'₁₀₁ \| 1/2 0 1/2 }
72	z+1/2,y+1/2,-x,-1	{ 4'⁺₀₁₀ \| 1/2 1/2 0 }
73	-x+1/2,-y+1/2,-z+1/2,-1	{ -1' \| 1/2 1/2 1/2 }
74	-x+1/2,y,z,-1	{ m'₁₀₀ \| 1/2 0 0 }
75	x,-y+1/2,z,-1	{ m'₀₁₀ \| 0 1/2 0 }
76	x,y,-z+1/2,-1	{ m'₀₀₁ \| 0 0 1/2 }
77	-y+1/2,-z+1/2,-x+1/2,-1	{ -3'^-₁₁₁ \| 1/2 1/2 1/2 }
78	-y+1/2,z,x,-1	{ -3'^-_-1-11 \| 1/2 0 0 }
79	y,-z+1/2,x,-1	{ -3'^-_1-1-1 \| 0 1/2 0 }
80	y,z,-x+1/2,-1	{ -3'^-_-11-1 \| 0 0 1/2 }
81	-z+1/2,-x+1/2,-y+1/2,-1	{ -3'⁺₁₁₁ \| 1/2 1/2 1/2 }
82	-z+1/2,x,y,-1	{ -3'⁺_-11-1 \| 1/2 0 0 }
83	z,-x+1/2,y,-1	{ -3'⁺_-1-11 \| 0 1/2 0 }
84	z,x,-y+1/2,-1	{ -3'⁺_1-1-1 \| 0 0 1/2 }
85	y,x,z,-1	{ m'_1-10 \| 0 }
86	y,-x+1/2,-z+1/2,-1	{ -4'⁺₀₀₁ \| 0 1/2 1/2 }
87	-y+1/2,x,-z+1/2,-1	{ -4'^-₀₀₁ \| 1/2 0 1/2 }
88	-y+1/2,-x+1/2,z,-1	{ m'₁₁₀ \| 1/2 1/2 0 }
89	x,z,y,-1	{ m'_01-1 \| 0 }
90	x,-z+1/2,-y+1/2,-1	{ m'₀₁₁ \| 0 1/2 1/2 }
91	-x+1/2,z,-y+1/2,-1	{ -4'⁺₁₀₀ \| 1/2 0 1/2 }
92	-x+1/2,-z+1/2,y,-1	{ -4'^-₁₀₀ \| 1/2 1/2 0 }
93	z,y,x,-1	{ m'_-101 \| 0 }
94	z,-y+1/2,-x+1/2,-1	{ -4'^-₀₁₀ \| 0 1/2 1/2 }
95	-z+1/2,y,-x+1/2,-1	{ m'₁₀₁ \| 1/2 0 1/2 }
96	-z+1/2,-y+1/2,x,-1	{ -4'⁺₀₁₀ \| 1/2 1/2 0 }

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

N	(x,y,z)	Seitz notation
1	x,y,z,+1	1
2	x,-y,-z,+1	2₁₀₀
3	-x,y,-z,+1	2₀₁₀
4	-x,-y,z,+1	2₀₀₁
5	y,z,x,+1	3^-₁₁₁
6	y,-z,-x,+1	3^-_-1-11
7	-y,z,-x,+1	3^-_1-1-1
8	-y,-z,x,+1	3^-_-11-1
9	z,x,y,+1	3⁺₁₁₁
10	z,-x,-y,+1	3⁺_-11-1
11	-z,x,-y,+1	3⁺_-1-11
12	-z,-x,y,+1	3⁺_1-1-1
13	-y,-x,-z,+1	2_1-10
14	-y,x,z,+1	4⁺₀₀₁
15	y,-x,z,+1	4^-₀₀₁
16	y,x,-z,+1	2₁₁₀
17	-x,-z,-y,+1	2_01-1
18	-x,z,y,+1	2₀₁₁
19	x,-z,y,+1	4⁺₁₀₀
20	x,z,-y,+1	4^-₁₀₀
21	-z,-y,-x,+1	2_-101
22	-z,y,x,+1	4^-₀₁₀
23	z,-y,x,+1	2₁₀₁
24	z,y,-x,+1	4⁺₀₁₀
25	-x,-y,-z,+1	-1
26	-x,y,z,+1	m₁₀₀
27	x,-y,z,+1	m₀₁₀
28	x,y,-z,+1	m₀₀₁
29	-y,-z,-x,+1	-3^-₁₁₁
30	-y,z,x,+1	-3^-_-1-11
31	y,-z,x,+1	-3^-_1-1-1
32	y,z,-x,+1	-3^-_-11-1
33	-z,-x,-y,+1	-3⁺₁₁₁
34	-z,x,y,+1	-3⁺_-11-1
35	z,-x,y,+1	-3⁺_-1-11
36	z,x,-y,+1	-3⁺_1-1-1
37	y,x,z,+1	m_1-10
38	y,-x,-z,+1	-4⁺₀₀₁
39	-y,x,-z,+1	-4^-₀₀₁
40	-y,-x,z,+1	m₁₁₀
41	x,z,y,+1	m_01-1
42	x,-z,-y,+1	m₀₁₁
43	-x,z,-y,+1	-4⁺₁₀₀
44	-x,-z,y,+1	-4^-₁₀₀
45	z,y,x,+1	m_-101
46	z,-y,-x,+1	-4^-₀₁₀
47	-z,y,-x,+1	m₁₀₁
48	-z,-y,x,+1	-4⁺₀₁₀
1' + set click here to show and hide
49	x,y,z,-1	1'
50	x,-y,-z,-1	2'₁₀₀
51	-x,y,-z,-1	2'₀₁₀
52	-x,-y,z,-1	2'₀₀₁
53	y,z,x,-1	3'^-₁₁₁
54	y,-z,-x,-1	3'^-_-1-11
55	-y,z,-x,-1	3'^-_1-1-1
56	-y,-z,x,-1	3'^-_-11-1
57	z,x,y,-1	3'⁺₁₁₁
58	z,-x,-y,-1	3'⁺_-11-1
59	-z,x,-y,-1	3'⁺_-1-11
60	-z,-x,y,-1	3'⁺_1-1-1
61	-y,-x,-z,-1	2'_1-10
62	-y,x,z,-1	4'⁺₀₀₁
63	y,-x,z,-1	4'^-₀₀₁
64	y,x,-z,-1	2'₁₁₀
65	-x,-z,-y,-1	2'_01-1
66	-x,z,y,-1	2'₀₁₁
67	x,-z,y,-1	4'⁺₁₀₀
68	x,z,-y,-1	4'^-₁₀₀
69	-z,-y,-x,-1	2'_-101
70	-z,y,x,-1	4'^-₀₁₀
71	z,-y,x,-1	2'₁₀₁
72	z,y,-x,-1	4'⁺₀₁₀
73	-x,-y,-z,-1	-1'
74	-x,y,z,-1	m'₁₀₀
75	x,-y,z,-1	m'₀₁₀
76	x,y,-z,-1	m'₀₀₁
77	-y,-z,-x,-1	-3'^-₁₁₁
78	-y,z,x,-1	-3'^-_-1-11
79	y,-z,x,-1	-3'^-_1-1-1
80	y,z,-x,-1	-3'^-_-11-1
81	-z,-x,-y,-1	-3'⁺₁₁₁
82	-z,x,y,-1	-3'⁺_-11-1
83	z,-x,y,-1	-3'⁺_-1-11
84	z,x,-y,-1	-3'⁺_1-1-1
85	y,x,z,-1	m'_1-10
86	y,-x,-z,-1	-4'⁺₀₀₁
87	-y,x,-z,-1	-4'^-₀₀₁
88	-y,-x,z,-1	m'₁₁₀
89	x,z,y,-1	m'_01-1
90	x,-z,-y,-1	m'₀₁₁
91	-x,z,-y,-1	-4'⁺₁₀₀
92	-x,-z,y,-1	-4'^-₁₀₀
93	z,y,x,-1	m'_-101
94	z,-y,-x,-1	-4'^-₀₁₀
95	-z,y,-x,-1	m'₁₀₁
96	-z,-y,x,-1	-4'⁺₀₁₀

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Magnetic atoms:

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Nd1	Nd	0.00000	0.00000	0.00000	8	m_x,m_x,m_x	1.45	1.45	1.45	2.51

Non-magnetic atoms:

Label	Atom type	x	y	z	Multiplicity
Zn1_1	Zn	0.75000	0.25000	0.25000	6
Zn1_2	Zn	0.75000	0.75000	0.75000	2

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.00000	m_x,m_x,m_x	1.45000	1.45000	1.45000
2	0.00000	0.50000	0.50000	m_x,-m_x,-m_x	1.45000	-1.45000	-1.45000
3	0.50000	0.00000	0.50000	-m_x,m_x,-m_x	-1.45000	1.45000	-1.45000
4	0.50000	0.50000	0.00000	-m_x,-m_x,m_x	-1.45000	-1.45000	1.45000
5	0.50000	0.50000	0.50000	-m_x,-m_x,-m_x	-1.45000	-1.45000	-1.45000
6	0.50000	0.00000	0.00000	-m_x,m_x,m_x	-1.45000	1.45000	1.45000
7	0.00000	0.50000	0.00000	m_x,-m_x,m_x	1.45000	-1.45000	1.45000
8	0.00000	0.00000	0.50000	m_x,m_x,-m_x	1.45000	1.45000	-1.45000

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

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

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

Label	Atom type	x	y	z	Multiplicity	Symmetry constraints on M	M_x	M_y	M_z	\|M\|
Nd1	Nd	0.00000	0.00000	0.00000	8	m_x,m_x,m_x	1.45	1.45	1.45	2.51

Atom	x	y	z	Symmetry constraints on M	M_x	M_y	M_z
1	0.00000	0.00000	0.00000	m_x,m_x,m_x	1.45000	1.45000	1.45000
2	0.00000	0.50000	0.50000	m_x,-m_x,-m_x	1.45000	-1.45000	-1.45000
3	0.50000	0.00000	0.50000	-m_x,m_x,-m_x	-1.45000	1.45000	-1.45000
4	0.50000	0.50000	0.00000	-m_x,-m_x,m_x	-1.45000	-1.45000	1.45000
5	0.50000	0.50000	0.50000	-m_x,-m_x,-m_x	-1.45000	-1.45000	-1.45000
6	0.50000	0.00000	0.00000	-m_x,m_x,m_x	-1.45000	1.45000	1.45000
7	0.00000	0.50000	0.00000	m_x,-m_x,m_x	1.45000	-1.45000	1.45000
8	0.00000	0.00000	0.50000	m_x,m_x,-m_x	1.45000	1.45000	-1.45000

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

label	dim. full irrep	dim. small irrep	direction	action	number of modes
mX3+	3	1	special-2	primary	1

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

NdZn (#3.8)