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Crystal Lab › Prototype structures › Orthorhombic

Orthorhombic AlPO₄-5 AlO₄P

Orthorhombic · space group Pcc2 (No. 27) · Pearson oP144

Symmetry elements and Wyckoff positions (interactive)

Orthorhombic AlPO₄-5 in Pcc2

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

Unit cell

Lattice constants
a = 13.794 Å, b = 23.900 Å, c = 8.417 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
2774.8 ų
Atoms in the conventional cell
144 (Al 24, O 96, P 24)
Formula units Z
24
Pearson symbol
oP144 — orthorhombic, primitive lattice, 144 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al4e40.29200.16900.4970
Al2Al4e40.61100.06100.5170
Al3Al4e40.11100.77400.5000
Al4Al4e40.78800.66700.5030
Al5Al4e40.10400.56100.4840
Al6Al4e40.60800.27400.5120
O7O4e40.31500.10800.1020
O8O4e40.31300.17700.2970
O9O4e40.19100.18100.0750
O10O4e40.36300.20600.0500
O11O4e40.68100.10300.0560
O12O4e40.62800.06900.3160
O13O4e40.63500.00300.0900
O14O4e40.50800.07800.0700
O15O4e40.00300.78900.0740
O16O4e40.12100.78300.2970
O17O4e40.17400.81600.0400
O18O4e40.12900.71600.0540
O19O4e40.81100.60800.0490
O20O4e40.81000.66000.3040
O21O4e40.68400.68200.1090
O22O4e40.85300.70800.0500
O23O4e40.18200.60400.0910
O24O4e40.09800.55900.2830
O25O4e40.13600.50400.0440
O26O4e40.01200.57800.0340
O27O4e40.50400.28800.0830
O28O4e40.62200.28800.3120
O29O4e40.67500.31400.0690
O30O4e40.63300.21400.1000
P31P4e40.29400.16900.1300
P32P4e40.61100.06300.1360
P33P4e40.10700.77400.1220
P34P4e40.78900.66500.1300
P35P4e40.10700.56000.1120
P36P4e40.60500.27300.1410

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 144 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

AB4C_oP144_27_6e_24e_6e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP144, then the space-group number 27, then the Wyckoff letters occupied by each element in turn (Al: 4e; Al: 4e; Al: 4e; Al: 4e; Al: 4e; Al: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; P: 4e; P: 4e; P: 4e; P: 4e; P: 4e; P: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: AlPO₄-5.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_oP144_27_6e_24e_6e-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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