Crystal Lab › Prototype structures › Orthorhombic
α-Potassium Nitrate (KNO₃) Structure II: ABC3_oC80_36_2ab_2ab_2a5b-001
Orthorhombic · space group Cmc21 (No. 36) · Pearson oC80
Symmetry elements and Wyckoff positions (interactive)
α-Potassium Nitrate (KNO₃) Structure II: ABC3_oC80_36_2ab_2ab_2a5b-001 in Cmc21
SettingUnit cell
- Lattice constants
- a = 10.825 Å, b = 18.351 Å, c = 6.435 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1278.3 ų
- Atoms in the conventional cell
- 80 (K 16, N 16, O 48)
- Formula units Z
- 16
- Pearson symbol
- oC80 — orthorhombic, base-centred lattice, 80 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| K1 | K | 4a | 4 | 0.0000 | 0.4170 | 0.2604 |
| K2 | K | 4a | 4 | 0.0000 | 0.9168 | 0.2614 |
| N4 | N | 4a | 4 | 0.0000 | 0.2483 | 0.4215 |
| N5 | N | 4a | 4 | 0.0000 | 0.7469 | 0.4208 |
| O7 | O | 4a | 4 | 0.0000 | 0.1807 | 0.4140 |
| O8 | O | 4a | 4 | 0.0000 | 0.6788 | 0.4138 |
| K3 | K | 8b | 8 | 0.2498 | 0.1667 | 0.2510 |
| N6 | N | 8b | 8 | 0.7497 | 0.9979 | 0.0911 |
| O10 | O | 8b | 8 | 0.3987 | 0.2809 | 0.4248 |
| O11 | O | 8b | 8 | 0.6506 | 0.0313 | 0.0984 |
| O12 | O | 8b | 8 | 0.8479 | 0.0321 | 0.0896 |
| O13 | O | 8b | 8 | 0.7478 | 0.9296 | 0.0937 |
| O9 | O | 8b | 8 | 0.5999 | 0.7830 | 0.4206 |
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 80 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
ABC3_oC80_36_2ab_2ab_2a5b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC80, then the space-group number 36, then the Wyckoff letters occupied by each element in turn (K: 4a; K: 4a; N: 4a; N: 4a; O: 4a; O: 4a; K: 8b; N: 8b; O: 8b; O: 8b; O: 8b; O: 8b; O: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: α-KNO₃ Structure II.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC3_oC80_36_2ab_2ab_2a5b-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.
← BaZnF₄ · Space group Cmc21 (17 prototypes) · All prototypes · β-BiPd →