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Crystal Lab › Prototype structures › Monoclinic

Pr₅Co₂Ge₄

Monoclinic · space group C12/m1 (No. 12) · Pearson mC40

Symmetry elements and Wyckoff positions (interactive)

Pr₅Co₂Ge₄ in C12/m1

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

Unit cell

Lattice constants
a = 17.999 Å, b = 4.260 Å, c = 13.012 Å; α = 90.00°, β = 104.15°, γ = 90.00°
Cell volume
967.4 ų
Atoms in the conventional cell
40 (Co 8, Ge 12, Pr 20)
Formula units Z
4
Pearson symbol
mC40 — monoclinic, base-centred lattice, 40 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Co1Co4i40.93240.00000.4787
Co2Co4i40.43340.00000.9755
Ge3Ge4i40.86740.00000.2860
Ge4Ge4i40.86640.00000.6264
Ge5Ge4i40.85220.00000.9502
Pr10Pr4i40.37170.00000.7705
Pr6Pr4i40.99860.00000.8633
Pr7Pr4i40.68230.00000.5605
Pr8Pr4i40.67670.00000.8912
Pr9Pr4i40.49970.00000.6386

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 40 atoms drawn above are these sites multiplied by all 8 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

A2B3C5_mC40_12_2i_3i_5i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC40, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (Co: 4i; Co: 4i; Ge: 4i; Ge: 4i; Ge: 4i; Pr: 4i; Pr: 4i; Pr: 4i; Pr: 4i; Pr: 4i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ce₅Co₂Ge₄, La₅Co₂Ge₄, Nd₅Co₂Ge₄, Pm₅Co₂Ge₄, Sm₅Co₂Ge₄ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B3C5_mC40_12_2i_3i_5i-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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