Skip to content

Crystal Lab › Prototype structures › Hexagonal

α-Sm₃Ge₅ (High-temperature)

Hexagonal · space group P-62c (No. 190) · Pearson hP16

Symmetry elements and Wyckoff positions (interactive)

α-Sm₃Ge₅ (High-temperature) in P-62c

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

Unit cell

Lattice constants
a = 6.924 Å, b = 6.924 Å, c = 8.491 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
352.5 ų
Atoms in the conventional cell
16 (Ge 10, Sm 6)
Formula units Z
2
Pearson symbol
hP16 — hexagonal / trigonal, primitive lattice, 16 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ge1Ge2b20.00000.00000.2500
Ge2Ge2c20.33330.66670.2500
Sm4Sm6g60.33130.00000.0000
Ge3Ge6h60.66820.06280.2500

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 16 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

A5B3_hP16_190_bch_g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP16, then the space-group number 190, then the Wyckoff letters occupied by each element in turn (Ge: 2b; Ge: 2c; Sm: 6g; Ge: 6h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: α-Sm₃Ge₅.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B3_hP16_190_bch_g-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.

← Li₂Sb  ·  Space group P-62c (6 prototypes)  ·  All prototypes  ·  CsSO₃ (K1₂) →