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Th₃P₄ (D7₃)

Cubic · space group I-43d (No. 220) · Pearson cI28 · Strukturbericht D73

Symmetry elements and Wyckoff positions (interactive)

Th₃P₄ (D7₃) in I-43d

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

Unit cell

Lattice constants
a = 8.600 Å, b = 8.600 Å, c = 8.600 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
636.1 ų
Atoms in the conventional cell
28 (Th 12, P 16)
Formula units Z
4
Pearson symbol
cI28 — cubic, body-centred lattice, 28 atoms per conventional cell
Symmetry operations
48 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Th2Th12a120.37500.00000.2500
P1P16c160.08330.08330.0833

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 28 atoms drawn above are these sites multiplied by all 48 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

A4B3_cI28_220_c_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI28, then the space-group number 220, then the Wyckoff letters occupied by each element in turn (Th: 12a; P: 16c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Bi₃Yb₄, Ce₃S₄, Ce₃Se₄, Ce₃Te₄, Eu₃S₄, La₃S₄, La₃Se₄, La₃Te₄, N₃P₄, Nd₃S₄, Nd₃Se₄, Nd₃Te₄, Pa₃As₄, Pa₃P₄, Pa₃Sb₄, Pr₃S₄, Pr₃Se₄, Pr₃Te₄, Sm₃S₄, Sm₃Se₄, Sm₃Te₄, Th₃As₄, Th₃As₄, Th₃Bi₄, Th₃P₄, Th₃Sb₄, U₃As₄, U₃Bi₄, U₃P₄, U₃Sb₄, U₃Te₄, BaCe₂S₄, BaCe₂Se₄, BaLa₂S₄, BaLa₂Se₄, BaNd₂S₄, BaNd₂Se₄, BaPr₂S₄, BaPr₂Se₄, CaCe₂S₄, CaDy₂S₄, CaGd₂S₄, CaLa₂S₄, CaNd₂S₄, CaPr₂S₄, CaSm₂S₄, CaTb₂S₄, SrCe₂S₄, SrCe₂Se₄, SrGd₂S₄, SrGd₂Se₄, SrLa₂S₄, SrLa₂Se₄, SrNd₂S₄, SrNd₂Se₄, SrPr₂S₄, SrPr₂Se₄, SrSm₂S₄, SrSm₂Se₄, Ac₂S₃, Am₂S₃, Ce₂S₃, Ce₂Te₃, Gd₂S₃, La₂S₃, La₂Te₃, Nd₂S₃, Nd₂Te₃, Pr₂S₃, Pr₂Te₃, Sm₂S₃, Sm₂Te₃, Tb₂S₃ <!--

Note: D7₃.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B3_cI28_220_c_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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