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Crystal Lab › Prototype structures › Trigonal

PtAl₄

Trigonal · space group P3c1 (No. 158) · Pearson hP102

Symmetry elements and Wyckoff positions (interactive)

PtAl₄ in P3c1

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

Unit cell

Lattice constants
a = 13.077 Å, b = 13.077 Å, c = 9.634 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
1426.8 ų
Atoms in the conventional cell
102 (Al 84, Pt 18)
Formula units Z
6
Pearson symbol
hP102 — hexagonal / trigonal, primitive lattice, 102 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al2a20.00000.00000.9991
Al2Al2b20.33330.66670.0366
Al3Al2c20.66670.33330.4953
Al10Al6d60.14860.10490.2508
Al11Al6d60.28740.51640.2591
Al12Al6d60.32620.33720.1197
Al13Al6d60.33880.32600.3956
Al14Al6d60.38520.10900.3519
Al15Al6d60.43300.19210.0979
Al16Al6d60.62390.18530.2650
Al4Al6d60.04900.45300.1688
Al5Al6d60.05930.26280.1575
Al6Al6d60.08710.23310.0929
Al7Al6d60.09850.23920.4129
Al8Al6d60.08500.27270.3552
Al9Al6d60.10460.52280.4241
Pt17Pt6d60.20690.44220.0147
Pt18Pt6d60.22580.11650.0036
Pt19Pt6d60.56390.10880.0130

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 102 atoms drawn above are these sites multiplied by all 6 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

A14B3_hP102_158_abc13d_3d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP102, then the space-group number 158, then the Wyckoff letters occupied by each element in turn (Al: 2a; Al: 2b; Al: 2c; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Al: 6d; Pt: 6d; Pt: 6d; Pt: 6d). 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 A14B3_hP102_158_abc13d_3d-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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