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Crystal Lab › Prototype structures › Hexagonal

(AlPO₄)₆cdotNC₉ (AlPO₄-5 Framework)

Hexagonal · space group P6cc (No. 184) · Pearson hP110

Symmetry elements and Wyckoff positions (interactive)

(AlPO₄)₆cdotNC₉ (AlPO₄-5 Framework) in P6cc

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

Unit cell

Lattice constants
a = 13.725 Å, b = 13.725 Å, c = 8.473 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
1382.3 ų
Atoms in the conventional cell
110 (N 2, Al 12, C 36, O 48, P 12)
Formula units Z
2
Pearson symbol
hP110 — hexagonal / trigonal, primitive lattice, 110 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
N1N2a20.00000.00000.1931
Al2Al12d120.33850.45740.0010
C3C12d120.07140.10750.1376
C4C12d120.07170.15240.3015
C5C12d120.13370.28060.3028
O6O12d120.20670.41930.0690
O7O12d120.00990.36570.0690
O8O12d120.12760.45170.3100
O9O12d120.15680.56790.0680
P10P12d120.12460.45230.1290

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 110 atoms drawn above are these sites multiplied by all 12 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

A6B18CD24E6_hP110_184_d_3d_a_4d_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP110, then the space-group number 184, then the Wyckoff letters occupied by each element in turn (N: 2a; Al: 12d; C: 12d; C: 12d; C: 12d; O: 12d; O: 12d; O: 12d; O: 12d; P: 12d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: AlPO₄-5 framework.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A6B18CD24E6_hP110_184_d_3d_a_4d_d-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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