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Crystal Lab › Prototype structures › Hexagonal

Zr₆CoAs₂: A2BC6_hP9_189_c_b_fg-002 As₂CoZr₃

Hexagonal · space group P-62m (No. 189) · Pearson hP9

Symmetry elements and Wyckoff positions (interactive)

Zr₆CoAs₂: A2BC6_hP9_189_c_b_fg-002 in P-62m

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

Unit cell

Lattice constants
a = 7.461 Å, b = 7.461 Å, c = 3.634 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
175.2 ų
Atoms in the conventional cell
9 (Co 1, As 2, Zr 6)
Formula units Z
1
Pearson symbol
hP9 — hexagonal / trigonal, primitive lattice, 9 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Co2Co1b10.00000.00000.5000
As1As2c20.33330.66670.0000
Zr3Zr3f30.24730.00000.0000
Zr4Zr3g30.58630.00000.5000

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 9 atoms drawn above are these sites multiplied by all 12 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

A2BC6_hP9_189_c_b_fg-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP9, then the space-group number 189, then the Wyckoff letters occupied by each element in turn (Co: 1b; As: 2c; Zr: 3f; Zr: 3g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Dy₆FeSb₂, Dy₆RuTe₂, Er₆CoSb₂, Er₆MnBi₂, Gd₆FeBi₂, Hf₆GeSb₂, Ho₆FeBi₂, Ho₆FeSb₂, Ho₆MnTe₂, Ho₆RhBi₂, Lu₆FeSb₂, Sc₆CoTe₂, Sc₆FeSb₂, Sc₆FeTe₂, Sc₆MnTe₂, Sc₆NiTe₂, Sc₆OsTe₂, Sc₆RhTe₂, Tb₆FeBi₂, Tb₆FeSb₂, Ti₆BSi₂, Tm₆FeSb₂, Y₆FeSb₂, Zr₆CoAl₂, Zr₆CuBi₂, Zr₆GeSb₂ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC6_hP9_189_c_b_fg-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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