Crystal Lab › Prototype structures › Orthorhombic
La₄₃Ni₁₇Mg₅
Orthorhombic · space group Cmcm (No. 63) · Pearson oC260
Symmetry elements and Wyckoff positions (interactive)
La₄₃Ni₁₇Mg₅ in Cmcm
SettingUnit cell
- Lattice constants
- a = 10.119 Å, b = 17.604 Å, c = 42.170 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 7512.0 ų
- Atoms in the conventional cell
- 260 (La 172, Mg 20, Ni 68)
- Formula units Z
- 4
- Pearson symbol
- oC260 — orthorhombic, base-centred lattice, 260 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| La1 | La | 4c | 4 | 0.0000 | 0.3900 | 0.2500 |
| Mg17 | Mg | 4c | 4 | 0.0000 | 0.0432 | 0.2500 |
| Ni20 | Ni | 4c | 4 | 0.0000 | 0.5987 | 0.2500 |
| Ni21 | Ni | 8e | 8 | 0.1275 | 0.0000 | 0.0000 |
| La2 | La | 8f | 8 | 0.0000 | 0.1399 | 0.1741 |
| La3 | La | 8f | 8 | 0.0000 | 0.7278 | 0.2065 |
| La4 | La | 8f | 8 | 0.0000 | 0.1972 | 0.6263 |
| La5 | La | 8f | 8 | 0.0000 | 0.1388 | 0.0288 |
| La6 | La | 8f | 8 | 0.0000 | 0.3906 | 0.0988 |
| La7 | La | 8f | 8 | 0.0000 | 0.0679 | 0.5557 |
| La8 | La | 8f | 8 | 0.0000 | 0.5988 | 0.1328 |
| La9 | La | 8f | 8 | 0.0000 | 0.2808 | 0.5476 |
| Mg18 | Mg | 8f | 8 | 0.0000 | 0.0678 | 0.6912 |
| Ni22 | Ni | 8f | 8 | 0.0000 | 0.0780 | 0.0922 |
| Ni23 | Ni | 8f | 8 | 0.0000 | 0.4534 | 0.1675 |
| Ni24 | Ni | 8f | 8 | 0.0000 | 0.4315 | 0.0091 |
| La10 | La | 8g | 8 | 0.6861 | 0.7042 | 0.2500 |
| Mg19 | Mg | 8g | 8 | 0.8338 | 0.8774 | 0.2500 |
| La11 | La | 16h | 16 | 0.6883 | 0.8290 | 0.1740 |
| La12 | La | 16h | 16 | 0.6934 | 0.7014 | 0.1012 |
| La13 | La | 16h | 16 | 0.8073 | 0.5350 | 0.2066 |
| La14 | La | 16h | 16 | 0.8050 | 0.9960 | 0.1268 |
| La15 | La | 16h | 16 | 0.6958 | 0.8302 | 0.0260 |
| La16 | La | 16h | 16 | 0.8170 | 0.5348 | 0.0452 |
| Ni25 | Ni | 16h | 16 | 0.7812 | 0.6721 | 0.1683 |
| Ni26 | Ni | 16h | 16 | 0.7807 | 0.8594 | 0.0907 |
The multiplicity and the Wyckoff letter say how many copies of the site the group makes in one cell and on which kind of symmetry element the site sits; the 260 atoms drawn above are these sites multiplied by all 16 operations. Press Wyckoff under Colour to see the sites, and tick a symmetry element on the left to see which atoms lie on it.
How to read the label
A43B5C17_oC260_63_c8fg6h_cfg_ce3f2h-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC260, then the space-group number 63, then the Wyckoff letters occupied by each element in turn (La: 4c; Mg: 4c; Ni: 4c; Ni: 8e; La: 8f; La: 8f; La: 8f; La: 8f; La: 8f; La: 8f; La: 8f; La: 8f; Mg: 8f; Ni: 8f; Ni: 8f; Ni: 8f; La: 8g; Mg: 8g; La: 16h; La: 16h; La: 16h; La: 16h; La: 16h; La: 16h; Ni: 16h; Ni: 16h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A43B5C17_oC260_63_c8fg6h_cfg_ce3f2h-001 (M. J. Mehl et al., Comput. Mater. Sci. 136, S1 (2017); D. Hicks et al., ibid. 161, S1 (2019) and 199, 110450 (2021); S. Eckert et al., ibid. 240, 112988 (2024)). Symmetry elements, Wyckoff assignment and the diagram are computed on this page from the group operations.
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