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Crystal Lab › Prototype structures › Monoclinic

(AlPO₄)₃OHcdot1.33N₂C₇H₂₁ [AlPO₄-21 Framework]

Monoclinic · space group P121/c1 (No. 14) · Pearson mP100

Symmetry elements and Wyckoff positions (interactive)

(AlPO₄)₃OHcdot1.33N₂C₇H₂₁ [AlPO₄-21 Framework] in P121/c1

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

Unit cell

Lattice constants
a = 9.132 Å, b = 17.524 Å, c = 14.512 Å; α = 90.00°, β = 145.61°, γ = 90.00°
Cell volume
1311.7 ų
Atoms in the conventional cell
100 (Al 12, C 16, H 4, N 4, O 52, P 12)
Formula units Z
4
Pearson symbol
mP100 — monoclinic, primitive lattice, 100 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al4e40.70280.17140.0110
Al2Al4e40.29950.38920.6367
Al3Al4e40.35930.20370.5650
C4C4e40.81760.48570.1481
C5C4e40.03030.43580.1171
C6C4e40.00800.48280.1850
C7C4e40.22700.46390.3520
H8H4e40.09200.28600.4730
N9N4e40.85420.48980.0697
O10O4e40.37690.48850.7144
O11O4e40.71450.09120.9476
O12O4e40.41600.21880.8370
O13O4e40.34290.19470.4333
O14O4e40.68070.25230.7291
O15O4e40.69310.14110.1185
O16O4e40.97400.41530.4376
O17O4e40.50580.12030.6877
O18O4e40.22050.29050.5426
O19O4e40.04060.15250.4165
O20O4e40.60000.38980.7316
O21O4e40.97770.22240.1366
O22O4e40.33750.35750.7728
P23P4e40.70680.07080.8403
P24P4e40.26970.21120.2966
P25P4e40.75280.16460.2495

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 100 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

A3B4CDE13F3_mP100_14_3e_4e_e_e_13e_3e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP100, then the space-group number 14, then the Wyckoff letters occupied by each element in turn (Al: 4e; Al: 4e; Al: 4e; C: 4e; C: 4e; C: 4e; C: 4e; H: 4e; N: 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). 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 A3B4CDE13F3_mP100_14_3e_4e_e_e_13e_3e-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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