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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Na1Na8a80.25000.25000.2500
Zn2Zn8b80.00000.00000.0000
Zn3Zn96i960.00000.18060.1192

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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