Crystal Lab › Prototype structures › Tetragonal
Li₂CN₂
Tetragonal · space group I4/mmm (No. 139) · Pearson tI10
Symmetry elements and Wyckoff positions (interactive)
Li₂CN₂ in I4/mmm
SettingUnit cell
- Lattice constants
- a = 3.687 Å, b = 3.687 Å, c = 8.668 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 117.8 ų
- Atoms in the conventional cell
- 10 (C 2, Li 4, N 4)
- Formula units Z
- 2
- Pearson symbol
- tI10 — tetragonal, body-centred lattice, 10 atoms per conventional cell
- Symmetry operations
- 32 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| C1 | C | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Li2 | Li | 4d | 4 | 0.0000 | 0.5000 | 0.2500 |
| N3 | N | 4e | 4 | 0.0000 | 0.0000 | 0.1419 |
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 10 atoms drawn above are these sites multiplied by all 32 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
AB2C2_tI10_139_a_d_e-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI10, then the space-group number 139, then the Wyckoff letters occupied by each element in turn (C: 2a; Li: 4d; N: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2C2_tI10_139_a_d_e-002 (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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