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KGe

Cubic · space group P-43n (No. 218) · Pearson cP64

Symmetry elements and Wyckoff positions (interactive)

KGe in P-43n

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

Unit cell

Lattice constants
a = 12.780 Å, b = 12.780 Å, c = 12.780 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
2087.3 ų
Atoms in the conventional cell
64 (Ge 32, K 32)
Formula units Z
32
Pearson symbol
cP64 — cubic, primitive lattice, 64 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ge1Ge8e80.07100.07100.0710
K3K8e80.33200.33200.3320
Ge2Ge24i240.06400.32000.4220
K4K24i240.33600.14200.0640

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 24 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_cP64_218_ei_ei-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP64, then the space-group number 218, then the Wyckoff letters occupied by each element in turn (Ge: 8e; K: 8e; Ge: 24i; K: 24i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

CsGe, CsSi, KSi, RbGe, RbSi <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_cP64_218_ei_ei-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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