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Crystal Lab › Prototype structures › Trigonal

Pd₇P₃

Trigonal · space group R3 (No. 146) · Pearson hR20

Symmetry elements and Wyckoff positions (interactive)

Pd₇P₃ in R3

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

Unit cell

Lattice constants
a = 11.976 Å, b = 11.976 Å, c = 7.055 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
876.3 ų
Atoms in the conventional cell
60 (Pd 42, P 18)
Formula units Z
6
Pearson symbol
hR20 — hexagonal / trigonal, rhombohedral lattice, 20 atoms per conventional cell
Symmetry operations
9 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Pd3Pd3a30.00000.00000.2890
Pd4Pd3a30.00000.00000.8740
P1P9b90.20600.19500.3210
P2P9b90.17500.98700.7400
Pd5Pd9b90.42630.49970.6667
Pd6Pd9b90.26200.09900.0260
Pd7Pd9b90.20900.96800.3890
Pd8Pd9b90.23400.20600.6360

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 9 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

A3B7_hR20_146_2b_2a4b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR20, then the space-group number 146, then the Wyckoff letters occupied by each element in turn (Pd: 3a; Pd: 3a; P: 9b; P: 9b; Pd: 9b; Pd: 9b; Pd: 9b; Pd: 9b). 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 A3B7_hR20_146_2b_2a4b-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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