Crystal Lab › Prototype structures › Tetragonal
Tetragonal La₂NiO₄
Tetragonal · space group P42/ncm (No. 138) · Pearson tP28
Symmetry elements and Wyckoff positions (interactive)
Tetragonal La₂NiO₄ in P42/ncm
SettingUnit cell
- Lattice constants
- a = 5.502 Å, b = 5.502 Å, c = 12.504 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 378.5 ų
- Atoms in the conventional cell
- 28 (O 16, Ni 4, La 8)
- Formula units Z
- 4
- Pearson symbol
- tP28 — tetragonal, primitive lattice, 28 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O3 | O | 4a | 4 | 0.7500 | 0.2500 | 0.0000 |
| Ni2 | Ni | 4c | 4 | 0.0000 | 0.0000 | 0.5000 |
| O4 | O | 4e | 4 | 0.2500 | 0.2500 | 0.4858 |
| La1 | La | 8i | 8 | 0.9924 | 0.9924 | 0.8641 |
| O5 | O | 8i | 8 | 0.0296 | 0.0296 | 0.6769 |
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 28 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
A2BC4_tP28_138_i_c_aei-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP28, then the space-group number 138, then the Wyckoff letters occupied by each element in turn (O: 4a; Ni: 4c; O: 4e; La: 8i; O: 8i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
La₂CuO₄, (La_{1.9}Ba_{0.1}NiO₄, Sr₂SnO₄ <!--beginning with an
Note: Tetragonal Phase.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC4_tP28_138_i_c_aei-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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