Crystal Lab › Prototype structures › Tetragonal
Gwihabaite (NH₄NO₃ V)
Tetragonal · space group P42 (No. 77) · Pearson tP72 · mineral: gwihabaite
Symmetry elements and Wyckoff positions (interactive)
Gwihabaite (NH₄NO₃ V) in P42
SettingUnit cell
- Lattice constants
- a = 7.980 Å, b = 7.980 Å, c = 9.780 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 622.8 ų
- Atoms in the conventional cell
- 72 (N 16, H 32, O 24)
- Formula units Z
- 8
- Pearson symbol
- tP72 — tetragonal, primitive lattice, 72 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| N9 | N | 2a | 2 | 0.0000 | 0.0000 | 0.2500 |
| N10 | N | 2b | 2 | 0.5000 | 0.5000 | 0.2500 |
| N11 | N | 2c | 2 | 0.0000 | 0.5000 | 0.7500 |
| N12 | N | 2c | 2 | 0.0000 | 0.5000 | 0.2500 |
| H1 | H | 4d | 4 | 0.0760 | 0.0760 | 0.1900 |
| H2 | H | 4d | 4 | 0.0760 | 0.9240 | 0.3100 |
| H3 | H | 4d | 4 | 0.5760 | 0.0760 | 0.1900 |
| H4 | H | 4d | 4 | 0.4240 | 0.0760 | 0.3100 |
| H5 | H | 4d | 4 | 0.4240 | 0.4240 | 0.3100 |
| H6 | H | 4d | 4 | 0.4240 | 0.5760 | 0.1900 |
| H7 | H | 4d | 4 | 0.9240 | 0.4240 | 0.3100 |
| H8 | H | 4d | 4 | 0.9240 | 0.5760 | 0.1900 |
| N13 | N | 4d | 4 | 0.2500 | 0.2500 | 0.5180 |
| N14 | N | 4d | 4 | 0.2500 | 0.2500 | 0.0180 |
| O15 | O | 4d | 4 | 0.1200 | 0.2700 | 0.4560 |
| O16 | O | 4d | 4 | 0.3300 | 0.2300 | 0.4560 |
| O17 | O | 4d | 4 | 0.2500 | 0.2500 | 0.6420 |
| O18 | O | 4d | 4 | 0.1200 | 0.2300 | 0.9560 |
| O19 | O | 4d | 4 | 0.3800 | 0.2700 | 0.9560 |
| O20 | O | 4d | 4 | 0.2500 | 0.2500 | 0.1420 |
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 72 atoms drawn above are these sites multiplied by all 4 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
A4B2C3_tP72_77_8d_ab2c2d_6d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP72, then the space-group number 77, then the Wyckoff letters occupied by each element in turn (N: 2a; N: 2b; N: 2c; N: 2c; H: 4d; H: 4d; H: 4d; H: 4d; H: 4d; H: 4d; H: 4d; H: 4d; N: 4d; N: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Gwihabaite, NH₄NO₃ V.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B2C3_tP72_77_8d_ab2c2d_6d-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.