Crystal Lab › Prototype structures › Monoclinic
α-Bi₄V₂O₁₁ Bi₄O₁₁V₂
Monoclinic · space group C121 (No. 5) · Pearson mC112
Symmetry elements and Wyckoff positions (interactive)
α-Bi₄V₂O₁₁ in C121
SettingUnit cell
- Lattice constants
- a = 5.611 Å, b = 15.271 Å, c = 16.595 Å; α = 90.00°, β = 90.26°, γ = 90.00°
- Cell volume
- 1421.8 ų
- Atoms in the conventional cell
- 112 (O 72, Bi 24, V 16)
- Formula units Z
- 8
- Pearson symbol
- mC112 — monoclinic, base-centred lattice, 112 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O7 | O | 2a | 2 | 0.0000 | 0.2500 | 0.0000 |
| O8 | O | 2a | 2 | 0.0000 | 0.7340 | 0.0000 |
| O10 | O | 2b | 2 | 0.0000 | 0.7410 | 0.5000 |
| O9 | O | 2b | 2 | 0.0000 | 0.2610 | 0.5000 |
| Bi1 | Bi | 4c | 4 | 0.2865 | 0.6620 | 0.9142 |
| Bi2 | Bi | 4c | 4 | 0.7794 | 0.8220 | 0.9154 |
| Bi3 | Bi | 4c | 4 | 0.7261 | 0.6680 | 0.7471 |
| Bi4 | Bi | 4c | 4 | 0.2215 | 0.8310 | 0.7558 |
| Bi5 | Bi | 4c | 4 | 0.2411 | 0.6710 | 0.5880 |
| Bi6 | Bi | 4c | 4 | 0.7131 | 0.8340 | 0.5827 |
| O11 | O | 4c | 4 | 0.5330 | 0.7430 | 0.8380 |
| O12 | O | 4c | 4 | 0.5230 | 0.7490 | 0.6740 |
| O13 | O | 4c | 4 | 0.9920 | 0.7540 | 0.6660 |
| O14 | O | 4c | 4 | 0.0060 | 0.7450 | 0.1600 |
| O15 | O | 4c | 4 | 0.3200 | 0.5900 | 0.7750 |
| O16 | O | 4c | 4 | 0.6890 | 0.5900 | 0.9290 |
| O17 | O | 4c | 4 | 0.7410 | 0.6050 | 0.5770 |
| O18 | O | 4c | 4 | 0.1710 | 0.9020 | 0.9270 |
| O19 | O | 4c | 4 | 0.8660 | 0.9090 | 0.7770 |
| O20 | O | 4c | 4 | 0.5520 | 0.5260 | 0.6560 |
| O21 | O | 4c | 4 | 0.6540 | 0.9900 | 0.9506 |
| O22 | O | 4c | 4 | 0.0680 | 0.5280 | 0.6600 |
| O23 | O | 4c | 4 | 0.9220 | 0.5010 | 0.8114 |
| O24 | O | 4c | 4 | 0.3330 | 0.8900 | 0.6200 |
| O25 | O | 4c | 4 | 0.8860 | 0.9390 | 0.4860 |
| O26 | O | 4c | 4 | 0.5850 | 0.9820 | 0.4960 |
| V27 | V | 4c | 4 | 0.6800 | 0.9930 | 0.7562 |
| V28 | V | 4c | 4 | 0.3030 | 0.9990 | 0.9327 |
| V29 | V | 4c | 4 | 0.1670 | 0.9950 | 0.5620 |
| V30 | V | 4c | 4 | 0.2820 | 0.9920 | 0.5750 |
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 112 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
A3B9C2_mC112_5_6c_2a2b16c_4c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC112, then the space-group number 5, then the Wyckoff letters occupied by each element in turn (O: 2a; O: 2a; O: 2b; O: 2b; Bi: 4c; Bi: 4c; Bi: 4c; Bi: 4c; Bi: 4c; Bi: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; V: 4c; V: 4c; V: 4c; V: 4c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: α-Bi₄V₂O₁₁.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B9C2_mC112_5_6c_2a2b16c_4c-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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