Symmetry elements and Wyckoff positions (interactive)
Li₇MnN₄ in P-43n
SettingUnit cell
- Lattice constants
- a = 9.555 Å, b = 9.555 Å, c = 9.555 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 872.3 ų
- Atoms in the conventional cell
- 96 (Mn 8, Li 56, N 32)
- Formula units Z
- 8
- Pearson symbol
- cP96 — cubic, primitive lattice, 96 atoms per conventional cell
- Symmetry operations
- 24 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Mn6 | Mn | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Li1 | Li | 6b | 6 | 0.0000 | 0.5000 | 0.5000 |
| Li2 | Li | 6c | 6 | 0.2500 | 0.5000 | 0.0000 |
| Mn7 | Mn | 6d | 6 | 0.2500 | 0.0000 | 0.5000 |
| Li3 | Li | 8e | 8 | 0.2330 | 0.2330 | 0.2330 |
| N8 | N | 8e | 8 | 0.1095 | 0.1095 | 0.1095 |
| Li4 | Li | 12f | 12 | 0.2570 | 0.0000 | 0.0000 |
| Li5 | Li | 24i | 24 | 0.2520 | 0.2360 | 0.9860 |
| N9 | N | 24i | 24 | 0.3582 | 0.3811 | 0.1085 |
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 96 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
A7BC4_cP96_218_bcefi_ad_ei-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP96, then the space-group number 218, then the Wyckoff letters occupied by each element in turn (Mn: 2a; Li: 6b; Li: 6c; Mn: 6d; Li: 8e; N: 8e; Li: 12f; Li: 24i; N: 24i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Li₇PN₄, Li₇VN₄ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A7BC4_cP96_218_bcefi_ad_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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