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HfFe₆Ge₆

Hexagonal · space group P6/mmm (No. 191) · Pearson hP13

Symmetry elements and Wyckoff positions (interactive)

HfFe₆Ge₆ in P6/mmm

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

Unit cell

Lattice constants
a = 5.045 Å, b = 5.045 Å, c = 8.032 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
177.0 ų
Atoms in the conventional cell
13 (Hf 1, Ge 6, Fe 6)
Formula units Z
1
Pearson symbol
hP13 — hexagonal / trigonal, primitive lattice, 13 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Hf5Hf1a10.00000.00000.0000
Ge2Ge2c20.33330.66670.0000
Ge3Ge2d20.33330.66670.5000
Ge4Ge2e20.00000.00000.3470
Fe1Fe6i60.50000.00000.2480

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 13 atoms drawn above are these sites multiplied by all 24 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

A6B6C_hP13_191_i_cde_a-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP13, then the space-group number 191, then the Wyckoff letters occupied by each element in turn (Hf: 1a; Ge: 2c; Ge: 2d; Ge: 2e; Fe: 6i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

DyCr₆Ge₆, DyCo₆Ge₆, DyFe₆Ge₆, DyMn₆Ge₆, DyV₆Sn₆, ErCo₆Ge₆, ErCr₆Ge₆, ErFe₆Ge₆, ErMn₆Ge₆, ErV₆Sn₆, GdCo₆Ge₆, GdCr₆Ge₆, GdFe₆Ge₆, GdMn₆Ge₆, GdV₆Sn₆, HfCo₆Ge₆, HfFe₆Ge₆, HfMn₆Ge₆, HfMn₆Sn₆, HoCo₆Ge₆, HoCr₆Ge₆, HoFe₆Ge₆, HoMn₆Ge₆, HoMn₆Sn₆, HoV₆Sn₆, LiCo₆Ge₆, LuCo₆Ge₆, LuFe₆Ge₆, LuFe₆Sn₆, LuMn₆Ge₆, LuV₆Sn₆, MgCo₆Ge₆, MgNi₆Ge₆, MgNi₆Si₆, MgFe₆Ge₆, NbFe₆Ge₆, NdMn₆Ge₆, ScCo₆Ge₆, ScCr₆Ge₆, ScFe₆Ge₆, ScMn₆Ge₆, ScMn₆Sn₆, SmMn₆Ge₆, TbCo₆Ge₆, TbCr₆Ge₆, TbFe₆Ge₆, TbMn₆Ge₆, TbMn₆Sn₆, TbNb₆Sn₆, TiCo₆Ge₆, TiFe₆Ge₆, TmCo₆Ge₆, TmFe₆Ge₆, TmFe₆Sn₆, TmMn₆Ge₆, TmMn₆Sn₆, TmV₆Sn₆, UCo₆Ge₆, YCr₆Ge₆, YFe₆Ge₆, YMn₆Ge₆,

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A6B6C_hP13_191_i_cde_a-002 (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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