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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 4e | 4 | 0.7028 | 0.1714 | 0.0110 |
| Al2 | Al | 4e | 4 | 0.2995 | 0.3892 | 0.6367 |
| Al3 | Al | 4e | 4 | 0.3593 | 0.2037 | 0.5650 |
| C4 | C | 4e | 4 | 0.8176 | 0.4857 | 0.1481 |
| C5 | C | 4e | 4 | 0.0303 | 0.4358 | 0.1171 |
| C6 | C | 4e | 4 | 0.0080 | 0.4828 | 0.1850 |
| C7 | C | 4e | 4 | 0.2270 | 0.4639 | 0.3520 |
| H8 | H | 4e | 4 | 0.0920 | 0.2860 | 0.4730 |
| N9 | N | 4e | 4 | 0.8542 | 0.4898 | 0.0697 |
| O10 | O | 4e | 4 | 0.3769 | 0.4885 | 0.7144 |
| O11 | O | 4e | 4 | 0.7145 | 0.0912 | 0.9476 |
| O12 | O | 4e | 4 | 0.4160 | 0.2188 | 0.8370 |
| O13 | O | 4e | 4 | 0.3429 | 0.1947 | 0.4333 |
| O14 | O | 4e | 4 | 0.6807 | 0.2523 | 0.7291 |
| O15 | O | 4e | 4 | 0.6931 | 0.1411 | 0.1185 |
| O16 | O | 4e | 4 | 0.9740 | 0.4153 | 0.4376 |
| O17 | O | 4e | 4 | 0.5058 | 0.1203 | 0.6877 |
| O18 | O | 4e | 4 | 0.2205 | 0.2905 | 0.5426 |
| O19 | O | 4e | 4 | 0.0406 | 0.1525 | 0.4165 |
| O20 | O | 4e | 4 | 0.6000 | 0.3898 | 0.7316 |
| O21 | O | 4e | 4 | 0.9777 | 0.2224 | 0.1366 |
| O22 | O | 4e | 4 | 0.3375 | 0.3575 | 0.7728 |
| P23 | P | 4e | 4 | 0.7068 | 0.0708 | 0.8403 |
| P24 | P | 4e | 4 | 0.2697 | 0.2112 | 0.2966 |
| P25 | P | 4e | 4 | 0.7528 | 0.1646 | 0.2495 |
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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