Crystal Lab › Prototype structures › Monoclinic
α-BaPbO₃ Perovskite BaO₃Pb
Monoclinic · space group C12/m1 (No. 12) · Pearson mC20
Symmetry elements and Wyckoff positions (interactive)
α-BaPbO₃ Perovskite in C12/m1
SettingUnit cell
- Lattice constants
- a = 8.555 Å, b = 8.481 Å, c = 6.012 Å; α = 90.00°, β = 134.81°, γ = 90.00°
- Cell volume
- 309.5 ų
- Atoms in the conventional cell
- 20 (Pb 4, O 12, Ba 4)
- Formula units Z
- 4
- Pearson symbol
- mC20 — monoclinic, base-centred lattice, 20 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Pb5 | Pb | 4e | 4 | 0.2500 | 0.2500 | 0.0000 |
| O2 | O | 4g | 4 | 0.0000 | 0.7235 | 0.0000 |
| O3 | O | 4h | 4 | 0.0000 | 0.2850 | 0.5000 |
| Ba1 | Ba | 4i | 4 | 0.2532 | 0.0000 | 0.5022 |
| O4 | O | 4i | 4 | 0.1926 | 0.0000 | -0.0624 |
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 20 atoms drawn above are these sites multiplied by all 8 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
AB3C_mC20_12_i_ghi_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC20, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (Pb: 4e; O: 4g; O: 4h; Ba: 4i; O: 4i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Al(Pr_{1-x}La_{x})O₃, Ba(Ce_{1-x}Nd_{x})O₃, Ba(Ce_{1-x}Y_{x})O₃, Ba(Pb_{1-x}Bi_{x})O₃, LaTa(O, N)₃, SrTa(O, N)₃ <!--beginning with an
Note: α-BaPbO₃.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C_mC20_12_i_ghi_e-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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