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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
K1K4a40.00000.41700.2604
K2K4a40.00000.91680.2614
N4N4a40.00000.24830.4215
N5N4a40.00000.74690.4208
O7O4a40.00000.18070.4140
O8O4a40.00000.67880.4138
K3K8b80.24980.16670.2510
N6N8b80.74970.99790.0911
O10O8b80.39870.28090.4248
O11O8b80.65060.03130.0984
O12O8b80.84790.03210.0896
O13O8b80.74780.92960.0937
O9O8b80.59990.78300.4206

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.

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