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Crystal Lab › Prototype structures › Hexagonal

Fe₁₂Zr₂P₇

Hexagonal · space group P-6 (No. 174) · Pearson hP21

Symmetry elements and Wyckoff positions (interactive)

Fe₁₂Zr₂P₇ in P-6

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

Unit cell

Lattice constants
a = 9.000 Å, b = 9.000 Å, c = 3.592 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
252.0 ų
Atoms in the conventional cell
21 (P 7, Zr 2, Fe 12)
Formula units Z
1
Pearson symbol
hP21 — hexagonal / trigonal, primitive lattice, 21 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
P5P1a10.00001.00000.0000
Zr8Zr1c10.33330.66670.0000
Zr9Zr1f10.66670.33330.5000
Fe1Fe3j30.43090.37190.0000
Fe2Fe3j30.11890.27720.0000
P6P3j30.41630.12040.0000
Fe3Fe3k30.04950.43590.5000
Fe4Fe3k30.22320.12400.5000
P7P3k30.28890.40960.5000

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 21 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

A12B7C2_hP21_174_2j2k_ajk_cf-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP21, then the space-group number 174, then the Wyckoff letters occupied by each element in turn (P: 1a; Zr: 1c; Zr: 1f; Fe: 3j; Fe: 3j; P: 3j; Fe: 3k; Fe: 3k; P: 3k). 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 A12B7C2_hP21_174_2j2k_ajk_cf-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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