Crystal Lab › Prototype structures › Tetragonal
K₂BaPO₄F: ABC2D4E_tI36_140_a_c_h_l_b-001 BaFK₂O₄P
Tetragonal · space group I4/mcm (No. 140) · Pearson tI36
Symmetry elements and Wyckoff positions (interactive)
K₂BaPO₄F: ABC2D4E_tI36_140_a_c_h_l_b-001 in I4/mcm
SettingUnit cell
- Lattice constants
- a = 7.026 Å, b = 7.026 Å, c = 11.279 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 556.8 ų
- Atoms in the conventional cell
- 36 (Ba 4, P 4, F 4, K 8, O 16)
- Formula units Z
- 4
- Pearson symbol
- tI36 — tetragonal, body-centred lattice, 36 atoms per conventional cell
- Symmetry operations
- 32 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 4a | 4 | 0.0000 | 0.0000 | 0.2500 |
| P5 | P | 4b | 4 | 0.0000 | 0.5000 | 0.2500 |
| F2 | F | 4c | 4 | 0.0000 | 0.0000 | 0.0000 |
| K3 | K | 8h | 8 | 0.1766 | 0.6766 | 0.0000 |
| O4 | O | 16l | 16 | 0.3740 | 0.8740 | 0.8293 |
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 36 atoms drawn above are these sites multiplied by all 32 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
ABC2D4E_tI36_140_a_c_h_l_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI36, then the space-group number 140, then the Wyckoff letters occupied by each element in turn (Ba: 4a; P: 4b; F: 4c; K: 8h; O: 16l). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
(Ba, Sr)₂BaGaO₄F, (Ca, Sr)₂BaGaO₄F, Ba₂CsSnS₄Cl, Ba₂KSnS₄Cl, Ba₂NaSnS₄Cl, Ba₃InS₄Cl, Ba₃InSe₄Cl, Ho₃PN₄O, K₃SO₄F, K₃SeO₄F, Sr₃AlO₄F, Sr₃GaO₄F <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2D4E_tI36_140_a_c_h_l_b-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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