Crystal Lab › Prototype structures › Hexagonal
Ag₅₁Gd₁₄
Hexagonal · space group P6/m (No. 175) · Pearson hP68
Symmetry elements and Wyckoff positions (interactive)
Ag₅₁Gd₁₄ in P6/m
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ag1 | Ag | 2c | 2 | 0.3333 | 0.6667 | 0.0000 |
| Gd8 | Gd | 2e | 2 | 0.0000 | 0.0000 | 0.3060 |
| Ag2 | Ag | 4h | 4 | 0.3333 | 0.6667 | 0.2987 |
| Ag3 | Ag | 6j | 6 | 0.1131 | 0.1324 | 0.0000 |
| Gd9 | Gd | 6j | 6 | 0.3898 | 0.1138 | 0.0000 |
| Ag4 | Ag | 6k | 6 | 0.2383 | 0.0589 | 0.5000 |
| Gd10 | Gd | 6k | 6 | 0.1394 | 0.4680 | 0.5000 |
| Ag5 | Ag | 12l | 12 | 0.2662 | 0.1918 | 0.2370 |
| Ag6 | Ag | 12l | 12 | 0.1155 | 0.4944 | 0.1526 |
| Ag7 | Ag | 12l | 12 | 0.4390 | 0.1049 | 0.3305 |
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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