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Crystal Lab › Prototype structures › Orthorhombic

La₄₃Ni₁₇Mg₅

Orthorhombic · space group Cmcm (No. 63) · Pearson oC260

Symmetry elements and Wyckoff positions (interactive)

La₄₃Ni₁₇Mg₅ in Cmcm

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
La1La4c40.00000.39000.2500
Mg17Mg4c40.00000.04320.2500
Ni20Ni4c40.00000.59870.2500
Ni21Ni8e80.12750.00000.0000
La2La8f80.00000.13990.1741
La3La8f80.00000.72780.2065
La4La8f80.00000.19720.6263
La5La8f80.00000.13880.0288
La6La8f80.00000.39060.0988
La7La8f80.00000.06790.5557
La8La8f80.00000.59880.1328
La9La8f80.00000.28080.5476
Mg18Mg8f80.00000.06780.6912
Ni22Ni8f80.00000.07800.0922
Ni23Ni8f80.00000.45340.1675
Ni24Ni8f80.00000.43150.0091
La10La8g80.68610.70420.2500
Mg19Mg8g80.83380.87740.2500
La11La16h160.68830.82900.1740
La12La16h160.69340.70140.1012
La13La16h160.80730.53500.2066
La14La16h160.80500.99600.1268
La15La16h160.69580.83020.0260
La16La16h160.81700.53480.0452
Ni25Ni16h160.78120.67210.1683
Ni26Ni16h160.78070.85940.0907

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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