Crystal Lab › Prototype structures › Tetragonal
Rutile (TiO₂, C4)
Tetragonal · space group P42/mnm (No. 136) · Pearson tP6 · Strukturbericht C4 · mineral: rutile
Symmetry elements and Wyckoff positions (interactive)
Rutile (TiO₂, C4) in P42/mnm
SettingUnit cell
- Lattice constants
- a = 4.592 Å, b = 4.592 Å, c = 2.957 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 62.4 ų
- Atoms in the conventional cell
- 6 (Ti 2, O 4)
- Formula units Z
- 2
- Pearson symbol
- tP6 — tetragonal, primitive lattice, 6 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ti2 | Ti | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| O1 | O | 4f | 4 | 0.3050 | 0.3050 | 0.0000 |
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 6 atoms drawn above are these sites multiplied by all 16 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
A2B_tP6_136_f_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP6, then the space-group number 136, then the Wyckoff letters occupied by each element in turn (Ti: 2a; O: 4f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
CoF₂, CrO₂, GeO₂, IrO₂, MgF₂, MnF₂, MoO₂, NTi₂, NbO₂, NiF₂, OsO₂, PbO₂, RuO₂, SiO₂ (stishovite), SnO₂ (cassiterite), TaO₂, TeO₂, VO₂ (HT), WO₂, ZnF₂ <!--beginning with an
Note: C4, Rutile.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_tP6_136_f_a-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.
← SrTb₂Fe₂O₇ · Space group P42/mnm (18 prototypes) · All prototypes · Na₃V₂(PO₄)₂F₃ (NVPF-F) →