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NaZn₁₃ (D2₃)
Cubic · space group Fm-3c (No. 226) · Pearson cF112 · Strukturbericht D23
Symmetry elements and Wyckoff positions (interactive)
NaZn₁₃ (D2₃) in Fm-3c
SettingUnit cell
- Lattice constants
- a = 12.284 Å, b = 12.284 Å, c = 12.284 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1853.4 ų
- Atoms in the conventional cell
- 112 (Na 8, Zn 104)
- Formula units Z
- 8
- Pearson symbol
- cF112 — cubic, face-centred lattice, 112 atoms per conventional cell
- Symmetry operations
- 192 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Na1 | Na | 8a | 8 | 0.2500 | 0.2500 | 0.2500 |
| Zn2 | Zn | 8b | 8 | 0.0000 | 0.0000 | 0.0000 |
| Zn3 | Zn | 96i | 96 | 0.0000 | 0.1806 | 0.1192 |
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 112 atoms drawn above are these sites multiplied by all 192 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
AB13_cF112_226_a_bi-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF112, then the space-group number 226, then the Wyckoff letters occupied by each element in turn (Na: 8a; Zn: 8b; Zn: 96i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
AmBe₁₃, BaCu₁₃, BaZn₁₃, CaBe₁₃, CaZn₁₃, CdZn₁₃, CeBe₁₃, CsCd₁₃, DyBe₁₃, ErBe₁₃, EuBe₁₃, HfBe₁₃, KCd₁₃, KZn₁₃, LaBe₁₃, LuBe₁₃, MgBe₁₃, NbBe₁₃, NdBe₁₃, PtBe₁₃, PuBe₁₃, RbCd₁₃, ScBe₁₃, SmBe₁₃, SrBe₁₃, SrZn₁₃, TbBe₁₃, ThBe₁₃, TmBe₁₃, UBe₁₃, VBe₁₃, YBe₁₃, YbBe₁₃, ZrBe₁₃, CeNi_{8.5}Si_{4.5}, LaFe_{13-x-y}Co_{y}Al_{x}, LaFe_{13-x-y}Co_{y}Si_{x}, NdFe_{13-x-y}Co_{y}Si_{x} <!--beginning with an
Note: D2₃.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB13_cF112_226_a_bi-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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