Crystal Lab › Prototype structures › Trigonal
Paralstonite (BaCa(CO₃)₂)
Trigonal · space group P321 (No. 150) · Pearson hP30 · mineral: paralstonite
Symmetry elements and Wyckoff positions (interactive)
Paralstonite (BaCa(CO₃)₂) in P321
SettingUnit cell
- Lattice constants
- a = 8.692 Å, b = 8.692 Å, c = 6.148 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 402.3 ų
- Atoms in the conventional cell
- 30 (C 6, Ba 3, Ca 3, O 18)
- Formula units Z
- 3
- Pearson symbol
- hP30 — hexagonal / trigonal, primitive lattice, 30 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| C2 | C | 2c | 2 | 0.0000 | 0.0000 | 0.2670 |
| C3 | C | 2d | 2 | 0.3333 | 0.6667 | 0.3560 |
| C4 | C | 2d | 2 | 0.3333 | 0.6667 | 0.8170 |
| Ba1 | Ba | 3e | 3 | 0.6870 | 0.0000 | 0.0000 |
| Ca5 | Ca | 3f | 3 | 0.3586 | 0.0000 | 0.5000 |
| O6 | O | 6g | 6 | 0.1910 | 0.6770 | 0.3550 |
| O7 | O | 6g | 6 | 0.1730 | 0.5170 | 0.8220 |
| O8 | O | 6g | 6 | 0.1500 | 0.0010 | 0.2550 |
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 30 atoms drawn above are these sites multiplied by all 6 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
AB2CD6_hP30_150_e_c2d_f_3g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP30, then the space-group number 150, then the Wyckoff letters occupied by each element in turn (C: 2c; C: 2d; C: 2d; Ba: 3e; Ca: 3f; O: 6g; O: 6g; O: 6g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Paralstonite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2CD6_hP30_150_e_c2d_f_3g-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.
← β-Na₂ThF₆ — F₆Na₂Th · Space group P321 (8 prototypes) · All prototypes · KSO₃ (K1₁) →