Crystal Lab › Prototype structures › Monoclinic
High temperature Bi₂MoO₆
Monoclinic · space group P121/c1 (No. 14) · Pearson mP144
Symmetry elements and Wyckoff positions (interactive)
High temperature Bi₂MoO₆ in P121/c1
SettingUnit cell
- Lattice constants
- a = 18.190 Å, b = 22.430 Å, c = 5.585 Å; α = 90.00°, β = 108.38°, γ = 90.00°
- Cell volume
- 2162.4 ų
- Atoms in the conventional cell
- 144 (Bi 32, Mo 16, O 96)
- Formula units Z
- 16
- Pearson symbol
- mP144 — monoclinic, primitive lattice, 144 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Bi1 | Bi | 4e | 4 | 0.9050 | 0.1934 | 0.9020 |
| Bi2 | Bi | 4e | 4 | 0.7419 | 0.0713 | 0.7239 |
| Bi3 | Bi | 4e | 4 | 0.7434 | 0.1877 | 0.3194 |
| Bi4 | Bi | 4e | 4 | 0.5916 | 0.0676 | 0.0876 |
| Bi5 | Bi | 4e | 4 | 0.5911 | 0.1891 | 0.6571 |
| Bi6 | Bi | 4e | 4 | 0.4299 | 0.1927 | 0.9099 |
| Bi7 | Bi | 4e | 4 | 0.2577 | 0.1956 | 0.2607 |
| Bi8 | Bi | 4e | 4 | 0.0906 | 0.0643 | 0.0726 |
| Mo10 | Mo | 4e | 4 | 0.4112 | 0.0708 | 0.4002 |
| Mo11 | Mo | 4e | 4 | 0.2296 | 0.0611 | 0.7316 |
| Mo12 | Mo | 4e | 4 | 0.0815 | 0.1818 | 0.5705 |
| Mo9 | Mo | 4e | 4 | 0.9169 | 0.0580 | 0.4219 |
| O13 | O | 4e | 4 | 0.9735 | 0.1009 | 0.6645 |
| O14 | O | 4e | 4 | 0.9689 | 0.0252 | 0.2359 |
| O15 | O | 4e | 4 | 0.8484 | 0.2463 | 0.0974 |
| O16 | O | 4e | 4 | 0.6724 | 0.1152 | 0.9184 |
| O17 | O | 4e | 4 | 0.6691 | 0.2501 | 0.9151 |
| O18 | O | 4e | 4 | 0.3646 | 0.0066 | 0.2396 |
| O19 | O | 4e | 4 | 0.4919 | 0.0959 | 0.2929 |
| O20 | O | 4e | 4 | 0.4867 | 0.2508 | 0.7177 |
| O21 | O | 4e | 4 | 0.4569 | 0.0442 | 0.7179 |
| O22 | O | 4e | 4 | 0.3628 | 0.1360 | 0.4458 |
| O23 | O | 4e | 4 | 0.3236 | 0.2482 | 0.0816 |
| O24 | O | 4e | 4 | 0.2963 | 0.0066 | 0.6723 |
| O25 | O | 4e | 4 | 0.1774 | 0.0227 | 0.9074 |
| O26 | O | 4e | 4 | 0.1841 | 0.0984 | 0.4191 |
| O27 | O | 4e | 4 | 0.1568 | 0.2285 | 0.5408 |
| O28 | O | 4e | 4 | 0.1290 | 0.1380 | 0.8430 |
| O29 | O | 4e | 4 | 0.8637 | 0.0104 | 0.5837 |
| O30 | O | 4e | 4 | 0.8013 | 0.1520 | 0.6993 |
| O31 | O | 4e | 4 | 0.8474 | 0.1026 | 0.2224 |
| O32 | O | 4e | 4 | 0.6651 | 0.1148 | 0.4071 |
| O33 | O | 4e | 4 | 0.5390 | 0.1518 | 0.9390 |
| O34 | O | 4e | 4 | 0.2924 | 0.1158 | 0.9224 |
| O35 | O | 4e | 4 | 0.0099 | 0.2273 | 0.6199 |
| O36 | O | 4e | 4 | 0.0438 | 0.1440 | 0.2688 |
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
A2BC6_mP144_14_8e_4e_24e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP144, then the space-group number 14, then the Wyckoff letters occupied by each element in turn (Bi: 4e; Bi: 4e; Bi: 4e; Bi: 4e; Bi: 4e; Bi: 4e; Bi: 4e; Bi: 4e; Mo: 4e; Mo: 4e; Mo: 4e; Mo: 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). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: HT.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC6_mP144_14_8e_4e_24e-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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