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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Co1 | Co | 4i | 4 | 0.9324 | 0.0000 | 0.4787 |
| Co2 | Co | 4i | 4 | 0.4334 | 0.0000 | 0.9755 |
| Ge3 | Ge | 4i | 4 | 0.8674 | 0.0000 | 0.2860 |
| Ge4 | Ge | 4i | 4 | 0.8664 | 0.0000 | 0.6264 |
| Ge5 | Ge | 4i | 4 | 0.8522 | 0.0000 | 0.9502 |
| Pr10 | Pr | 4i | 4 | 0.3717 | 0.0000 | 0.7705 |
| Pr6 | Pr | 4i | 4 | 0.9986 | 0.0000 | 0.8633 |
| Pr7 | Pr | 4i | 4 | 0.6823 | 0.0000 | 0.5605 |
| Pr8 | Pr | 4i | 4 | 0.6767 | 0.0000 | 0.8912 |
| Pr9 | Pr | 4i | 4 | 0.4997 | 0.0000 | 0.6386 |
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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