Crystal Lab › Prototype structures › Tetragonal
Hg₂Cu₃(Te₃O₈)₂
Tetragonal · space group P4212 (No. 90) · Pearson tP54
Symmetry elements and Wyckoff positions (interactive)
Hg₂Cu₃(Te₃O₈)₂ in P4212
SettingUnit cell
- Lattice constants
- a = 8.707 Å, b = 8.707 Å, c = 11.293 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 856.2 ų
- Atoms in the conventional cell
- 54 (Cu 6, Te 12, Hg 4, O 32)
- Formula units Z
- 2
- Pearson symbol
- tP54 — tetragonal, primitive lattice, 54 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cu1 | Cu | 2c | 2 | 0.0000 | 0.5000 | 0.6766 |
| Cu2 | Cu | 2c | 2 | 0.0000 | 0.5000 | 0.3952 |
| Cu3 | Cu | 2c | 2 | 0.0000 | 0.5000 | 0.9466 |
| Te4 | Te | 4e | 4 | 0.1746 | 0.1746 | 0.0000 |
| Hg5 | Hg | 4f | 4 | 0.1040 | 0.1040 | 0.5000 |
| O6 | O | 8g | 8 | 0.3002 | 0.0949 | 0.3218 |
| O7 | O | 8g | 8 | 0.1128 | 0.2606 | 0.1687 |
| O8 | O | 8g | 8 | 0.1510 | 0.3399 | 0.3996 |
| O9 | O | 8g | 8 | 0.3759 | 0.1821 | 0.0625 |
| Te10 | Te | 8g | 8 | 0.2820 | 0.2973 | 0.2697 |
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 54 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
A3B2C16D6_tP54_90_3c_f_4g_eg-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP54, then the space-group number 90, then the Wyckoff letters occupied by each element in turn (Cu: 2c; Cu: 2c; Cu: 2c; Te: 4e; Hg: 4f; O: 8g; O: 8g; O: 8g; O: 8g; Te: 8g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B2C16D6_tP54_90_3c_f_4g_eg-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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