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Crystal Lab › Prototype structures › Tetragonal

PdGa₅

Tetragonal · space group I4/mcm (No. 140) · Pearson tI24

Symmetry elements and Wyckoff positions (interactive)

PdGa₅ in I4/mcm

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

Unit cell

Lattice constants
a = 6.436 Å, b = 6.436 Å, c = 9.990 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
413.8 ų
Atoms in the conventional cell
24 (Pd 4, Ga 20)
Formula units Z
4
Pearson symbol
tI24 — tetragonal, body-centred lattice, 24 atoms per conventional cell
Symmetry operations
32 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Pd3Pd4a40.00000.00000.2500
Ga1Ga4c40.00000.00000.0000
Ga2Ga16l160.64670.14670.6395

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 24 atoms drawn above are these sites multiplied by all 32 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_tI24_140_cl_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI24, then the space-group number 140, then the Wyckoff letters occupied by each element in turn (Pd: 4a; Ga: 4c; Ga: 16l). 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 A5B_tI24_140_cl_a-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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