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NaAlB₁₄

Orthorhombic · space group Imma (No. 74) · Pearson oI64

Symmetry elements and Wyckoff positions (interactive)

NaAlB₁₄ in Imma

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

Unit cell

Lattice constants
a = 5.844 Å, b = 10.465 Å, c = 8.231 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
503.4 ų
Atoms in the conventional cell
64 (Al 4, Na 4, B 56)
Formula units Z
4
Pearson symbol
oI64 — orthorhombic, body-centred lattice, 64 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al4c40.25000.25000.2500
Na7Na4e40.00000.25000.8482
B2B8h80.00000.91450.6678
B3B8h80.00000.85280.8747
B4B8h80.00000.83390.4676
B5B16j160.24950.42060.0442
B6B16j160.33940.56050.1630

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 64 atoms drawn above are these sites multiplied by all 16 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

AB14C_oI64_74_c_3h2j_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oI64, then the space-group number 74, then the Wyckoff letters occupied by each element in turn (Al: 4c; Na: 4e; B: 8h; B: 8h; B: 8h; B: 16j; B: 16j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB14C_oI64_74_c_3h2j_e-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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