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Crystal Lab › Prototype structures › Trigonal

γ-AgZn (B_{b})

Trigonal · space group P-3 (No. 147) · Pearson hP9 · Strukturbericht Bb

Symmetry elements and Wyckoff positions (interactive)

γ-AgZn (B_{b}) in P-3

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

Unit cell

Lattice constants
a = 7.636 Å, b = 7.636 Å, c = 2.820 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
142.4 ų
Atoms in the conventional cell
9 (Zn 3, Ag 6)
Formula units Z
3
Pearson symbol
hP9 — hexagonal / trigonal, primitive lattice, 9 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Zn2Zn1a10.00000.00000.0000
Zn3Zn2d20.33330.66670.2500
Ag1Ag6g60.33330.00000.2500

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 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

A2B_hP9_147_g_ad-001: 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 147, then the Wyckoff letters occupied by each element in turn (Zn: 1a; Zn: 2d; Ag: 6g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ag₁₀CdZn₉, Ag₅₀MgZn₄₉ <!--beginning with an

Note: B_{b}, \gamma-AgZn.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_hP9_147_g_ad-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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