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Trigonal (h') Al₅Mo

Trigonal · space group P3 (No. 143) · Pearson hP60

Symmetry elements and Wyckoff positions (interactive)

Trigonal (h') Al₅Mo in P3

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

Unit cell

Lattice constants
a = 4.933 Å, b = 4.933 Å, c = 43.980 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
926.8 ų
Atoms in the conventional cell
60 (Al 50, Mo 10)
Formula units Z
10
Pearson symbol
hP60 — hexagonal / trigonal, primitive lattice, 60 atoms per conventional cell
Symmetry operations
3 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al1a10.00000.00000.0100
Al2Al1a10.00000.00000.1000
Al3Al1a10.00000.00000.2000
Al4Al1a10.00000.00000.3000
Al5Al1a10.00000.00000.5000
Al6Al1a10.00000.00000.7000
Al7Al1a10.00000.00000.8000
Mo31Mo1a10.00000.00000.4000
Mo32Mo1a10.00000.00000.6000
Mo33Mo1a10.00000.00000.9000
Al10Al1b10.33330.66670.4000
Al11Al1b10.33330.66670.5000
Al12Al1b10.33330.66670.6000
Al13Al1b10.33330.66670.7000
Al14Al1b10.33330.66670.9000
Al8Al1b10.33330.66670.0000
Al9Al1b10.33330.66670.2000
Mo34Mo1b10.33330.66670.1000
Mo35Mo1b10.33330.66670.3000
Mo36Mo1b10.33330.66670.8000
Al15Al1c10.66670.33330.1000
Al16Al1c10.66670.33330.3000
Al17Al1c10.66670.33330.4000
Al18Al1c10.66670.33330.6000
Al19Al1c10.66670.33330.8000
Al20Al1c10.66670.33330.9000
Mo37Mo1c10.66670.33330.0000
Mo38Mo1c10.66670.33330.2000
Mo39Mo1c10.66670.33330.5000
Mo40Mo1c10.66670.33330.7000
Al21Al3d30.66670.66670.0500
Al22Al3d30.33330.33330.1500
Al23Al3d30.66670.66670.2500
Al24Al3d30.33330.33330.3500
Al25Al3d30.66670.66670.4500
Al26Al3d30.33330.33330.5500
Al27Al3d30.66670.66670.6500
Al28Al3d30.33330.33330.7500
Al29Al3d30.66670.66670.8500
Al30Al3d30.33330.33330.9500

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 60 atoms drawn above are these sites multiplied by all 3 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

A5B_hP60_143_7a7b6c10d_3a3b4c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP60, then the space-group number 143, then the Wyckoff letters occupied by each element in turn (Al: 1a; Al: 1a; Al: 1a; Al: 1a; Al: 1a; Al: 1a; Al: 1a; Mo: 1a; Mo: 1a; Mo: 1a; Al: 1b; Al: 1b; Al: 1b; Al: 1b; Al: 1b; Al: 1b; Al: 1b; Mo: 1b; Mo: 1b; Mo: 1b; Al: 1c; Al: 1c; Al: 1c; Al: 1c; Al: 1c; Al: 1c; Mo: 1c; Mo: 1c; Mo: 1c; Mo: 1c; Al: 3d; Al: 3d; Al: 3d; Al: 3d; Al: 3d; Al: 3d; Al: 3d; Al: 3d; Al: 3d; Al: 3d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Trigonal (h').

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B_hP60_143_7a7b6c10d_3a3b4c-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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