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Monoclinic tridymite (473K) AlPO₄

Monoclinic · space group P1211 (No. 4) · Pearson mP12

Symmetry elements and Wyckoff positions (interactive)

Monoclinic tridymite (473K) AlPO₄ in P1211

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

Unit cell

Lattice constants
a = 5.075 Å, b = 8.301 Å, c = 5.080 Å; α = 90.00°, β = 119.63°, γ = 90.00°
Cell volume
186.0 ų
Atoms in the conventional cell
12 (Al 2, O 8, P 2)
Formula units Z
2
Pearson symbol
mP12 — monoclinic, primitive lattice, 12 atoms per conventional cell
Symmetry operations
2 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al2a20.36390.06250.6461
O2O2a20.33270.26210.6654
O3O2a20.02200.97740.4550
O4O2a20.54900.98370.9930
O5O2a20.55900.02470.4650
P6P2a20.30180.43710.6863

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 12 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_mP12_4_a_4a_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP12, then the space-group number 4, then the Wyckoff letters occupied by each element in turn (Al: 2a; O: 2a; O: 2a; O: 2a; O: 2a; P: 2a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Tridymite 473K.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C_mP12_4_a_4a_a-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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