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Crystal Lab › Prototype structures › Monoclinic

AlPO₄-41 AlO₄P

Monoclinic · space group P1211 (No. 4) · Pearson mP60

Symmetry elements and Wyckoff positions (interactive)

AlPO₄-41 in P1211

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

Unit cell

Lattice constants
a = 13.791 Å, b = 8.359 Å, c = 9.718 Å; α = 90.00°, β = 110.60°, γ = 90.00°
Cell volume
1048.7 ų
Atoms in the conventional cell
60 (Al 10, O 40, P 10)
Formula units Z
10
Pearson symbol
mP60 — monoclinic, primitive lattice, 60 atoms per conventional cell
Symmetry operations
2 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al2a20.12200.63800.5620
Al2Al2a20.27800.12400.8520
Al3Al2a20.44300.62700.7250
Al4Al2a20.66600.14200.8260
Al5Al2a20.74300.67200.5800
O6O2a20.13800.14600.4490
O7O2a20.12700.83900.5430
O8O2a20.15600.04200.7080
O9O2a20.97600.04800.5180
O10O2a20.38500.54800.8350
O11O2a20.29400.5590-0.0060
O12O2a20.15800.54900.7430
O13O2a20.25800.31300.8550
O14O2a20.39300.05700.8250
O15O2a20.55100.11000.7520
O16O2a20.34200.01900.5450
O17O2a20.44800.82700.7510
O18O2a20.74500.62000.7540
O19O2a20.55400.57200.7750
O20O2a20.68300.32700.8010
O21O2a20.73000.5550-0.0220
O22O2a20.74200.06100.7440
O23O2a20.67900.83400.5340
O24O2a20.80600.08900.5460
O25O2a20.60500.08900.4640
P26P2a20.09600.02200.5480
P27P2a20.28400.49900.8590
P28P2a20.44000.00800.7130
P29P2a20.67100.51800.8280
P30P2a20.71600.01600.5610

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 60 atoms drawn above are these sites multiplied by all 2 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_mP60_4_5a_20a_5a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP60, then the space-group number 4, then the Wyckoff letters occupied by each element in turn (Al: 2a; Al: 2a; Al: 2a; Al: 2a; Al: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; O: 2a; P: 2a; P: 2a; P: 2a; P: 2a; P: 2a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_mP60_4_5a_20a_5a-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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