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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
N9N2a20.00000.00000.2500
N10N2b20.50000.50000.2500
N11N2c20.00000.50000.7500
N12N2c20.00000.50000.2500
H1H4d40.07600.07600.1900
H2H4d40.07600.92400.3100
H3H4d40.57600.07600.1900
H4H4d40.42400.07600.3100
H5H4d40.42400.42400.3100
H6H4d40.42400.57600.1900
H7H4d40.92400.42400.3100
H8H4d40.92400.57600.1900
N13N4d40.25000.25000.5180
N14N4d40.25000.25000.0180
O15O4d40.12000.27000.4560
O16O4d40.33000.23000.4560
O17O4d40.25000.25000.6420
O18O4d40.12000.23000.9560
O19O4d40.38000.27000.9560
O20O4d40.25000.25000.1420

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.

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