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Ag₅₁Gd₁₄

Hexagonal · space group P6/m (No. 175) · Pearson hP68

Symmetry elements and Wyckoff positions (interactive)

Ag₅₁Gd₁₄ in P6/m

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

Unit cell

Lattice constants
a = 12.670 Å, b = 12.670 Å, c = 9.330 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
1297.1 ų
Atoms in the conventional cell
68 (Ag 54, Gd 14)
Formula units Z
2
Pearson symbol
hP68 — hexagonal / trigonal, primitive lattice, 68 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ag1Ag2c20.33330.66670.0000
Gd8Gd2e20.00000.00000.3060
Ag2Ag4h40.33330.66670.2987
Ag3Ag6j60.11310.13240.0000
Gd9Gd6j60.38980.11380.0000
Ag4Ag6k60.23830.05890.5000
Gd10Gd6k60.13940.46800.5000
Ag5Ag12l120.26620.19180.2370
Ag6Ag12l120.11550.49440.1526
Ag7Ag12l120.43900.10490.3305

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 68 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

A27B7_hP68_175_chjk3l_ejk-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP68, then the space-group number 175, then the Wyckoff letters occupied by each element in turn (Ag: 2c; Gd: 2e; Ag: 4h; Ag: 6j; Gd: 6j; Ag: 6k; Gd: 6k; Ag: 12l; Ag: 12l; Ag: 12l). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ag₅₁Ce₁₄, Ag₅₁Dy₁₄, Ag₅₁Er₁₄, Ag₅₁Ho₁₄, Ag₅₁La₁₄, Ag₅₁Nd₁₄, Ag₅₁Pr₁₄, Ag₅₁Pu₁₄, Ag₅₁Sm₁₄, Ag₅₁Tb₁₄, Ag₅₁Th₁₄, Ag₅₁Y₁₄, Au₅₁Ce₁₄, Au₅₁Dy₁₄, Au₅₁Gd₁₄, Au₅₁Ho₁₄, Au₅₁La₁₄, Au₅₁Pd₁₄, Au₅₁Pr₁₄, Au₅₁Sm₁₄, Au₅₁Tb₁₄, Au₅₁Th₁₄, Au₅₁U₁₄, Au₅₁Y₁₄, Cd₅₁Cu₁₄, Cd₅₁Eu₁₄, Cd₅₁Hg₁₄, Cd₅₁Th₁₄, Cd₅₁Yb₁₄, Cu₅₁Hf₁₄, Cu₅₁Th₁₄, Cu₅₁Zr₁₄, Hg₅₁Eu₁₄, Hg₅₁Sr₁₄, Hg₅₁Yb₁₄, Ag₉Au₄₂U₁₄, Au₄₂Cu₉U₁₄, Au₅₁Th₇U₇, Cu₉Au₄₂U₁₄, Cu₃₈Ga₁₃Lu₁₄, Cu₄₆Ga₅U₁₄, Cu₄₀Ga₁₁Er₁₄ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A27B7_hP68_175_chjk3l_ejk-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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