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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 4e | 4 | 0.2920 | 0.1690 | 0.4970 |
| Al2 | Al | 4e | 4 | 0.6110 | 0.0610 | 0.5170 |
| Al3 | Al | 4e | 4 | 0.1110 | 0.7740 | 0.5000 |
| Al4 | Al | 4e | 4 | 0.7880 | 0.6670 | 0.5030 |
| Al5 | Al | 4e | 4 | 0.1040 | 0.5610 | 0.4840 |
| Al6 | Al | 4e | 4 | 0.6080 | 0.2740 | 0.5120 |
| O7 | O | 4e | 4 | 0.3150 | 0.1080 | 0.1020 |
| O8 | O | 4e | 4 | 0.3130 | 0.1770 | 0.2970 |
| O9 | O | 4e | 4 | 0.1910 | 0.1810 | 0.0750 |
| O10 | O | 4e | 4 | 0.3630 | 0.2060 | 0.0500 |
| O11 | O | 4e | 4 | 0.6810 | 0.1030 | 0.0560 |
| O12 | O | 4e | 4 | 0.6280 | 0.0690 | 0.3160 |
| O13 | O | 4e | 4 | 0.6350 | 0.0030 | 0.0900 |
| O14 | O | 4e | 4 | 0.5080 | 0.0780 | 0.0700 |
| O15 | O | 4e | 4 | 0.0030 | 0.7890 | 0.0740 |
| O16 | O | 4e | 4 | 0.1210 | 0.7830 | 0.2970 |
| O17 | O | 4e | 4 | 0.1740 | 0.8160 | 0.0400 |
| O18 | O | 4e | 4 | 0.1290 | 0.7160 | 0.0540 |
| O19 | O | 4e | 4 | 0.8110 | 0.6080 | 0.0490 |
| O20 | O | 4e | 4 | 0.8100 | 0.6600 | 0.3040 |
| O21 | O | 4e | 4 | 0.6840 | 0.6820 | 0.1090 |
| O22 | O | 4e | 4 | 0.8530 | 0.7080 | 0.0500 |
| O23 | O | 4e | 4 | 0.1820 | 0.6040 | 0.0910 |
| O24 | O | 4e | 4 | 0.0980 | 0.5590 | 0.2830 |
| O25 | O | 4e | 4 | 0.1360 | 0.5040 | 0.0440 |
| O26 | O | 4e | 4 | 0.0120 | 0.5780 | 0.0340 |
| O27 | O | 4e | 4 | 0.5040 | 0.2880 | 0.0830 |
| O28 | O | 4e | 4 | 0.6220 | 0.2880 | 0.3120 |
| O29 | O | 4e | 4 | 0.6750 | 0.3140 | 0.0690 |
| O30 | O | 4e | 4 | 0.6330 | 0.2140 | 0.1000 |
| P31 | P | 4e | 4 | 0.2940 | 0.1690 | 0.1300 |
| P32 | P | 4e | 4 | 0.6110 | 0.0630 | 0.1360 |
| P33 | P | 4e | 4 | 0.1070 | 0.7740 | 0.1220 |
| P34 | P | 4e | 4 | 0.7890 | 0.6650 | 0.1300 |
| P35 | P | 4e | 4 | 0.1070 | 0.5600 | 0.1120 |
| P36 | P | 4e | 4 | 0.6050 | 0.2730 | 0.1410 |
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.
← Ca₄Al₆O₁₆S · Space group Pcc2 (2 prototypes) · All prototypes