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Crystal Lab › Prototype structures › Hexagonal

NaO

Hexagonal · space group P-62m (No. 189) · Pearson hP12

Symmetry elements and Wyckoff positions (interactive)

NaO in P-62m

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

Unit cell

Lattice constants
a = 6.208 Å, b = 6.208 Å, c = 4.469 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
149.2 ų
Atoms in the conventional cell
12 (O 6, Na 6)
Formula units Z
6
Pearson symbol
hP12 — hexagonal / trigonal, primitive lattice, 12 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O3O2e20.00000.00000.3320
Na1Na3f30.29500.00000.0000
Na2Na3g30.63200.00000.5000
O4O4h40.33330.66670.1680

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 12 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

AB_hP12_189_fg_eh-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP12, then the space-group number 189, then the Wyckoff letters occupied by each element in turn (O: 2e; Na: 3f; Na: 3g; O: 4h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

CaAs, CaP, EuAs, KS, KSe, α-KTe, α-NaS, β-RbS, RbSe, RbTc, SrAs, SrP <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_hP12_189_fg_eh-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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