β-B (R-105)

Unit cell

Lattice constants

a = 10.960 Å, b = 10.960 Å, c = 23.890 Å; α = 90.00°, β = 90.00°, γ = 120.00°

Cell volume

2485.2 ų

Atoms in the conventional cell

315 (B 315)

Formula units Z

315

Pearson symbol

hR105 — hexagonal / trigonal, rhombohedral lattice, 105 atoms per conventional cell

Symmetry operations

36 per cell

Crystallographic sites

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 315 atoms drawn above are these sites multiplied by all 36 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

A_hR105_166_ac9h4i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR105, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (B: 3a; B: 6c; B: 18h; B: 18h; B: 18h; B: 18h; B: 18h; B: 18h; B: 18h; B: 18h; B: 18h; B: 36i; B: 36i; B: 36i; B: 36i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: R-105 \beta-Boron.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A_hR105_166_ac9h4i-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.