Skip to content

Crystal Lab › Prototype structures › Tetragonal

Co₅Ge₇

Tetragonal · space group I4mm (No. 107) · Pearson tI24

Symmetry elements and Wyckoff positions (interactive)

Co₅Ge₇ in I4mm

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

Unit cell

Lattice constants
a = 7.640 Å, b = 7.640 Å, c = 5.810 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
339.1 ų
Atoms in the conventional cell
24 (Co 10, Ge 14)
Formula units Z
2
Pearson symbol
tI24 — tetragonal, body-centred lattice, 24 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Co1Co2a20.00000.00000.0000
Ge3Ge2a20.00000.00000.4400
Ge4Ge4b40.00000.50000.4600
Co2Co8c80.28000.28000.5000
Ge5Ge8d80.24000.00000.7100

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 24 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

A5B7_tI24_107_ac_abd-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI24, then the space-group number 107, then the Wyckoff letters occupied by each element in turn (Co: 2a; Ge: 2a; Ge: 4b; Co: 8c; Ge: 8d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ir₅Ge₇ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B7_tI24_107_ac_abd-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.

← Low Temperature UP₂ — P₂U  ·  Space group I4mm (4 prototypes)  ·  All prototypes  ·  BaNiSn₃ →