Crystal Lab › Prototype structures › Orthorhombic
Forsterite (Mg₂SiO₄, S1₂)
Orthorhombic · space group Pnma (No. 62) · Pearson oP28 · Strukturbericht S12 · mineral: forsterite
Symmetry elements and Wyckoff positions (interactive)
Forsterite (Mg₂SiO₄, S1₂) in Pnma
SettingUnit cell
- Lattice constants
- a = 10.193 Å, b = 5.977 Å, c = 4.752 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 289.5 ų
- Atoms in the conventional cell
- 28 (Mg 8, O 16, Si 4)
- Formula units Z
- 4
- Pearson symbol
- oP28 — orthorhombic, primitive lattice, 28 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Mg1 | Mg | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| Mg2 | Mg | 4c | 4 | 0.2774 | 0.2500 | 0.9915 |
| O3 | O | 4c | 4 | 0.0913 | 0.2500 | 0.7657 |
| O4 | O | 4c | 4 | 0.4474 | 0.2500 | 0.2215 |
| Si6 | Si | 4c | 4 | 0.0940 | 0.2500 | 0.4262 |
| O5 | O | 8d | 8 | 0.1628 | 0.0331 | 0.2777 |
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 28 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
A2B4C_oP28_62_ac_2cd_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP28, then the space-group number 62, then the Wyckoff letters occupied by each element in turn (Mg: 4a; Mg: 4c; O: 4c; O: 4c; Si: 4c; O: 8d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Al₂BeO₄, Fe₂SiO₄ (fayalite), Fe₂SiS₄, Mg₂GeO₄, Mg₂GeS₄, Mg₂GeS₄, Mn₂GeS₄, Tm₂ZnS₄ <!--beginning with an
Note: S1₂, Forsterite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B4C_oP28_62_ac_2cd_c-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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