MAGNDATA - Collection of Magnetic Structures

Magnetic structure with only magnetic atoms

N	(x,y,z)	Seitz notation
1	x1,x2,x3,x4,+1	{ 1 \| 0 }
2	-x1,-x2,x3,x4+1/2,+1	{ 2₀₀₁ \| 0 0 0 1/2 }
3	-x2,x1,x3,x4+1/4,+1	{ 4⁺₀₀₁ \| 0 0 0 1/4 }
4	x2,-x1,x3,x4+3/4,+1	{ 4^-₀₀₁ \| 0 0 0 3/4 }
5	-x1,x2,-x3,-x4+1/2,+1	{ 2₀₁₀ \| 0 0 0 1/2 }
6	x1,-x2,-x3,-x4,+1	{ 2₁₀₀ \| 0 }
7	x2,x1,-x3,-x4+1/4,+1	{ 2₁₁₀ \| 0 0 0 1/4 }
8	-x2,-x1,-x3,-x4+3/4,+1	{ 2_1-10 \| 0 0 0 3/4 }
9	x1,x2,x3,x4+1/2,-1	{ 1' \| 0 0 0 1/2 }
10	-x1,-x2,x3,x4,-1	{ 2'₀₀₁ \| 0 }
11	-x2,x1,x3,x4+3/4,-1	{ 4'⁺₀₀₁ \| 0 0 0 3/4 }
12	x2,-x1,x3,x4+1/4,-1	{ 4'^-₀₀₁ \| 0 0 0 1/4 }
13	-x1,x2,-x3,-x4,-1	{ 2'₀₁₀ \| 0 }
14	x1,-x2,-x3,-x4+1/2,-1	{ 2'₁₀₀ \| 0 0 0 1/2 }
15	x2,x1,-x3,-x4+3/4,-1	{ 2'₁₁₀ \| 0 0 0 3/4 }
16	-x2,-x1,-x3,-x4+1/4,-1	{ 2'_1-10 \| 0 0 0 1/4 }
17	x1+1/2,x2+1/2,x3+1/2,x4,+1	{ 1 \| 1/2 1/2 1/2 0 }
18	-x1+1/2,-x2+1/2,x3+1/2,x4+1/2,+1	{ 2₀₀₁ \| 1/2 1/2 1/2 1/2 }
19	-x2+1/2,x1+1/2,x3+1/2,x4+1/4,+1	{ 4⁺₀₀₁ \| 1/2 1/2 1/2 1/4 }
20	x2+1/2,-x1+1/2,x3+1/2,x4+3/4,+1	{ 4^-₀₀₁ \| 1/2 1/2 1/2 3/4 }
21	-x1+1/2,x2+1/2,-x3+1/2,-x4+1/2,+1	{ 2₀₁₀ \| 1/2 1/2 1/2 1/2 }
22	x1+1/2,-x2+1/2,-x3+1/2,-x4,+1	{ 2₁₀₀ \| 1/2 1/2 1/2 0 }
23	x2+1/2,x1+1/2,-x3+1/2,-x4+1/4,+1	{ 2₁₁₀ \| 1/2 1/2 1/2 1/4 }
24	-x2+1/2,-x1+1/2,-x3+1/2,-x4+3/4,+1	{ 2_1-10 \| 1/2 1/2 1/2 3/4 }
25	x1+1/2,x2+1/2,x3+1/2,x4+1/2,-1	{ 1' \| 1/2 1/2 1/2 1/2 }
26	-x1+1/2,-x2+1/2,x3+1/2,x4,-1	{ 2'₀₀₁ \| 1/2 1/2 1/2 0 }
27	-x2+1/2,x1+1/2,x3+1/2,x4+3/4,-1	{ 4'⁺₀₀₁ \| 1/2 1/2 1/2 3/4 }
28	x2+1/2,-x1+1/2,x3+1/2,x4+1/4,-1	{ 4'^-₀₀₁ \| 1/2 1/2 1/2 1/4 }
29	-x1+1/2,x2+1/2,-x3+1/2,-x4,-1	{ 2'₀₁₀ \| 1/2 1/2 1/2 0 }
30	x1+1/2,-x2+1/2,-x3+1/2,-x4+1/2,-1	{ 2'₁₀₀ \| 1/2 1/2 1/2 1/2 }
31	x2+1/2,x1+1/2,-x3+1/2,-x4+3/4,-1	{ 2'₁₁₀ \| 1/2 1/2 1/2 3/4 }
32	-x2+1/2,-x1+1/2,-x3+1/2,-x4+1/4,-1	{ 2'_1-10 \| 1/2 1/2 1/2 1/4 }
(0,0,0,1/2)' + set click here to show and hide
33	x1,x2,x3,x4+1/2,-1	{ 1' \| 0 0 0 1/2 }
34	-x1,-x2,x3,x4,-1	{ 2'₀₀₁ \| 0 }
35	-x2,x1,x3,x4+3/4,-1	{ 4'⁺₀₀₁ \| 0 0 0 3/4 }
36	x2,-x1,x3,x4+1/4,-1	{ 4'^-₀₀₁ \| 0 0 0 1/4 }
37	-x1,x2,-x3,-x4,-1	{ 2'₀₁₀ \| 0 }
38	x1,-x2,-x3,-x4+1/2,-1	{ 2'₁₀₀ \| 0 0 0 1/2 }
39	x2,x1,-x3,-x4+3/4,-1	{ 2'₁₁₀ \| 0 0 0 3/4 }
40	-x2,-x1,-x3,-x4+1/4,-1	{ 2'_1-10 \| 0 0 0 1/4 }
41	x1,x2,x3,x4,+1	{ 1 \| 0 }
42	-x1,-x2,x3,x4+1/2,+1	{ 2₀₀₁ \| 0 0 0 1/2 }
43	-x2,x1,x3,x4+1/4,+1	{ 4⁺₀₀₁ \| 0 0 0 1/4 }
44	x2,-x1,x3,x4+3/4,+1	{ 4^-₀₀₁ \| 0 0 0 3/4 }
45	-x1,x2,-x3,-x4+1/2,+1	{ 2₀₁₀ \| 0 0 0 1/2 }
46	x1,-x2,-x3,-x4,+1	{ 2₁₀₀ \| 0 }
47	x2,x1,-x3,-x4+1/4,+1	{ 2₁₁₀ \| 0 0 0 1/4 }
48	-x2,-x1,-x3,-x4+3/4,+1	{ 2_1-10 \| 0 0 0 3/4 }
49	x1+1/2,x2+1/2,x3+1/2,x4+1/2,-1	{ 1' \| 1/2 1/2 1/2 1/2 }
50	-x1+1/2,-x2+1/2,x3+1/2,x4,-1	{ 2'₀₀₁ \| 1/2 1/2 1/2 0 }
51	-x2+1/2,x1+1/2,x3+1/2,x4+3/4,-1	{ 4'⁺₀₀₁ \| 1/2 1/2 1/2 3/4 }
52	x2+1/2,-x1+1/2,x3+1/2,x4+1/4,-1	{ 4'^-₀₀₁ \| 1/2 1/2 1/2 1/4 }
53	-x1+1/2,x2+1/2,-x3+1/2,-x4,-1	{ 2'₀₁₀ \| 1/2 1/2 1/2 0 }
54	x1+1/2,-x2+1/2,-x3+1/2,-x4+1/2,-1	{ 2'₁₀₀ \| 1/2 1/2 1/2 1/2 }
55	x2+1/2,x1+1/2,-x3+1/2,-x4+3/4,-1	{ 2'₁₁₀ \| 1/2 1/2 1/2 3/4 }
56	-x2+1/2,-x1+1/2,-x3+1/2,-x4+1/4,-1	{ 2'_1-10 \| 1/2 1/2 1/2 1/4 }
57	x1+1/2,x2+1/2,x3+1/2,x4,+1	{ 1 \| 1/2 1/2 1/2 0 }
58	-x1+1/2,-x2+1/2,x3+1/2,x4+1/2,+1	{ 2₀₀₁ \| 1/2 1/2 1/2 1/2 }
59	-x2+1/2,x1+1/2,x3+1/2,x4+1/4,+1	{ 4⁺₀₀₁ \| 1/2 1/2 1/2 1/4 }
60	x2+1/2,-x1+1/2,x3+1/2,x4+3/4,+1	{ 4^-₀₀₁ \| 1/2 1/2 1/2 3/4 }
61	-x1+1/2,x2+1/2,-x3+1/2,-x4+1/2,+1	{ 2₀₁₀ \| 1/2 1/2 1/2 1/2 }
62	x1+1/2,-x2+1/2,-x3+1/2,-x4,+1	{ 2₁₀₀ \| 1/2 1/2 1/2 0 }
63	x2+1/2,x1+1/2,-x3+1/2,-x4+1/4,+1	{ 2₁₁₀ \| 1/2 1/2 1/2 1/4 }
64	-x2+1/2,-x1+1/2,-x3+1/2,-x4+3/4,+1	{ 2_1-10 \| 1/2 1/2 1/2 3/4 }

N	(x,y,z)	Seitz notation
1	x,y,z,+1	1
2	-x,-y,z,+1	2₀₀₁
3	-y,x,z,+1	4⁺₀₀₁
4	y,-x,z,+1	4^-₀₀₁
5	-x,y,-z,+1	2₀₁₀
6	x,-y,-z,+1	2₁₀₀
7	y,x,-z,+1	2₁₁₀
8	-y,-x,-z,+1	2_1-10
1' + set click here to show and hide
9	x,y,z,-1	1'
10	-x,-y,z,-1	2'₀₀₁
11	-y,x,z,-1	4'⁺₀₀₁
12	y,-x,z,-1	4'^-₀₀₁
13	-x,y,-z,-1	2'₀₁₀
14	x,-y,-z,-1	2'₁₀₀
15	y,x,-z,-1	2'₁₁₀
16	-y,-x,-z,-1	2'_1-10

Label	Atom type	x	y	z	Multiplicity
Co1	Co	0	0.5	0.25	4
P1	P	0	0	0.3751(8)	4

Atom	Magnetic moment Fourier Cos coeffs	Magnetic moment Fourier Sin coeffs
Symmetry constraints	Numerical values	Symmetry constraints	Numerical values
x	y	z	x	y	z	x	y	z	x	y	z
Eu1	M_xcos1	0	0	6.9(1)	0.0	0.0	0	M_ysin1	0	0.0	6.9	0.0

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

Atom	Magnetic moment Fourier Cos coeffs	Magnetic moment Fourier Sin coeffs
Symmetry constraints	Numerical values	Symmetry constraints	Numerical values
x	y	z	x	y	z	x	y	z	x	y	z
1	M_xcos1	0	0	6.90000	0.0	0.0	0	M_ysin1	0	0.0	6.90000	0.0
2	M_xcos1	0	0	6.90000	0.0	0.0	0	M_ysin1	0	0.0	6.90000	0.0

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

Atom	x	y	z
1	0.00000	0.00000	0.37510
2	0.00000	0.00000	0.62490
3	0.50000	0.50000	0.87510
4	0.50000	0.50000	0.12490

Reference: M. Reehuis, W. Jeitschko, M. Moller and P. Brown, Journal of Physics and Chemistry of Solids (1992) 53 687-690.
DOI: 10.1016/0022-3697(92)90208-u
Atomic positions from: ICSD #55938

Parent space group (paramagnetic phase): I4/mmm (#139)
Propagation vector: k1 (0.000000, 0.000000, 0.850000)

Transition Temperature: 66.5 K
Experiment Temperature: 15 K

Lattice parameters of the basic unit cell:
3.770(10) 3.770(10) 11.39(4) 90 90 90
Transformation from parent structure: (a,b,c;0,0,0)
    [View matrix form]

Magnetic Superspace Group: I4221'(00g)q00s
    [View symmetry operations]

Magnetic Point Group: 4221' (12.2.41)
    [View symmetry operations]
Symmetry-adapted form of material tensors via

Average positions, magnetic moments and magnetic modulations of symmetry independent atoms:
From now on, magnetic atoms are in boldface and colored in red. Magnetic moments are expressed in units of μB

     [Show only magnetic atoms]
     [Show all the atoms]

Average atomic positions of symmetry independent atoms

Label	Atom type	x	y	z	Multiplicity
Eu1	Eu	0	0	0	2

Magnetic moment modulation parameters of symmetry independent atoms

Wave vector 1

Atom	Magnetic moment Fourier Cos coeffs						Magnetic moment Fourier Sin coeffs
	Symmetry constraints			Numerical values			Symmetry constraints			Numerical values
	x	y	z	x	y	z	x	y	z	x	y	z
Eu1	M_xcos1	0	0	6.9(1)	0.0	0.0	0	M_ysin1	0	0.0	6.9	0.0

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

Atom	Magnetic moment Fourier Cos coeffs	Magnetic moment Fourier Sin coeffs
Symmetry constraints	Numerical values	Symmetry constraints	Numerical values
x	y	z	x	y	z	x	y	z	x	y	z
1	M_xcos1	0	0	6.90000	0.0	0.0	0	M_ysin1	0	0.0	6.90000	0.0
2	M_xcos1	0	0	6.90000	0.0	0.0	0	M_ysin1	0	0.0	6.90000	0.0

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

Active Irreps:

label	dim. small irrep	dim. full irrep	action	number of modes
mLD5	2	4	primary	1

Comments:

Comments (symmetry):

1k magnetic incommensurate structure
k-maximal magnetic symmetry

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

EuCo₂P₂ (#1.1.81)

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

EuCo2P2 (#1.1.81)

EuCo₂P₂ (#1.1.81)