Crystal Lab › Prototype structures › Trigonal
Trigonal Na₂BaMn(VO₄)₂
Trigonal · space group P-3m1 (No. 164) · Pearson hP14
Symmetry elements and Wyckoff positions (interactive)
Trigonal Na₂BaMn(VO₄)₂ in P-3m1
SettingUnit cell
- Lattice constants
- a = 5.593 Å, b = 5.593 Å, c = 7.154 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 193.8 ų
- Atoms in the conventional cell
- 14 (Ba 1, Mn 1, Na 2, O 8, V 2)
- Formula units Z
- 1
- Pearson symbol
- hP14 — hexagonal / trigonal, primitive lattice, 14 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Mn2 | Mn | 1b | 1 | 0.0000 | 0.0000 | 0.5000 |
| Na3 | Na | 2d | 2 | 0.3333 | 0.6667 | 0.6681 |
| O4 | O | 2d | 2 | 0.3333 | 0.6667 | 0.9979 |
| V5 | V | 2d | 2 | 0.3333 | 0.6667 | 0.2329 |
| O6 | O | 6i | 6 | 0.8292 | 0.1708 | 0.6850 |
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 14 atoms drawn above are these sites multiplied by all 12 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
ABC2D8E2_hP14_164_a_b_d_di_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP14, then the space-group number 164, then the Wyckoff letters occupied by each element in turn (Ba: 1a; Mn: 1b; Na: 2d; O: 2d; V: 2d; O: 6i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
K₂BaCa(PO₄)₂, K₂BaMn(VO₄)₂, K₂RbGd(VO₄)₂, K₂RbTb(VO₄)₂, Na₂BaCo(PO₄)₂, Na₂BaCo(VO₄)₂, Na₂BaFe(VO₄)₂, Na₂BaMg(PO₄)₂, Na₂BaMn(PO₄)₂, Na₂BaMn(VO₄)₂, Na₂BaNi(PO₄)₂, Sr₂BaMg(SiO₄)₂ <!--beginning with an
Note: Trigonal.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2D8E2_hP14_164_a_b_d_di_d-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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