Crystal Lab › Prototype structures › Tetragonal
Akermanite (Ca₂MgSi₂O₇, S5₃)
Tetragonal · space group P-421m (No. 113) · Pearson tP24 · Strukturbericht S53 · mineral: akermanite
Symmetry elements and Wyckoff positions (interactive)
Akermanite (Ca₂MgSi₂O₇, S5₃) in P-421m
SettingUnit cell
- Lattice constants
- a = 7.834 Å, b = 7.834 Å, c = 5.008 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 307.3 ų
- Atoms in the conventional cell
- 24 (Mg 2, O 14, Ca 4, Si 4)
- Formula units Z
- 2
- Pearson symbol
- tP24 — tetragonal, primitive lattice, 24 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Mg1 | Mg | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| O2 | O | 2c | 2 | 0.0000 | 0.5000 | 0.8201 |
| Ca3 | Ca | 4e | 4 | 0.8324 | 0.3324 | 0.4935 |
| O5 | O | 4e | 4 | 0.6407 | 0.1407 | 0.7471 |
| Si4 | Si | 4e | 4 | 0.6396 | 0.1396 | 0.0642 |
| O6 | O | 8f | 8 | 0.0798 | 0.1862 | 0.7856 |
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 24 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
A2BC7D2_tP24_113_e_a_cef_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP24, then the space-group number 113, then the Wyckoff letters occupied by each element in turn (Mg: 2a; O: 2c; Ca: 4e; O: 4e; Si: 4e; O: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Ba₂CdSi₂O₇, Ba₂CoGe₂O₇, Ba₂CoSi₂O₇, Ba₂CuGe₂O₇, Ba₂CuSi₂O₇, Ba₂FeGe₂O₇, Ba₂MgGe₂O₇, Ba₂MgSi₂O₇, Ba₂MnGe₂O₇, Ba₂MnSi₂O₇, Ba₂ZnGe₂O₇, Ca₂BeSi₂O₇ (gugiaite), Ca₂CoSi₂O₇, Ca₂GeGa₂O₇, Ca₂MgSi₂O₇, Ca₂SiAl₂O₇ (gehlenite), Ca₂SiB₂O₇ (okayamalite), Ca₂SiGa₂O₇, Ca₂ZnGe₂O₇, Ca₂ZnSi₂O₇ (hardystonite), Dy₂GeBe₂O₇, Er₂GeBe₂O₇, Eu₂GeGa₂S₇, Eu₂MgSi₂O₇, Eu₂MnSi₂O₇, Gd₂GeBe₂O₇, Ho₂GeBe₂O₇, Ho₂SiBe₂O₇, K₂CoV₂O₇, K₂CuP₂O₇, K₂FeP₂O₇, K₂MnV₂O₇, La₂GeBe₂O₇, Na₂LiBe₂F₇, Na₂ZnV₂O₇, Nd₂GeBe₂O₇, Pr₂GeBe₂O₇, Sm₂GeBe₂O₇, Sr₂CoGe₂O₇, Sr₂CoSi₂O₇, Sr₂CuGe₂O₇, Sr₂CuSi₂O₇, Sr₂GeFe₂O₇, Sr₂MgGe₂O₇, Sr₂MgSi₂O₇, Sr₂MnGe₂O₇, Sr₂MnS
Note: S5₃ Akermanite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC7D2_tP24_113_e_a_cef_e-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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