In minerology, the spinels are any of a class of minerals of general formulation AB2X4 which crystallise in the cubic (isometric) crystal system, with the X anions (typically chalcogens, like oxygen and sulfur) arranged in a close-packed cubic lattice and the cations A and B occupying some or all of the octahedral and tetrahedral sites in the lattice. Although the charges of A and B in the prototypical spinel structure are +2 and +3, respectively (A2+B3+2X2−4), other combinations incorporating divalent, trivalent, or tetravalent cations, including magnesium, zinc, iron, manganese, aluminium, chromium, titanium, and silicon, are also possible. The anion is normally oxygen; when other chalcogenides constitute the anion sublattice the structure is referred to as a thiospinel. A and B can also be the same metal with different valences, as is the case with magnetite, Fe3O4 (as Fe2+Fe3+2O2−4), which is the most abundant member of the spinel group. It is even possible for them to be alloys, as seen for example in LiNi0.5Mn1.5O4, a material used in some high energy density lithium ion batteries. Spinels are grouped in series by the B cation. The group is named for spinel (MgAl2O4), which was once known as "spinel ruby". (Today the term ruby is used only for corundum.)
Spinel group members Members of the spinel group include:
Aluminium spinels: Spinel: MgAl2O4, after which this class of minerals is named Gahnite: ZnAl2O4 Hercynite: FeAl2O4 Galaxite: MnAl2O4 Pleonaste: (Mg,Fe)Al2O4 Iron spinels: Cuprospinel: CuFe2O4 Franklinite: (Fe,Mn,Zn)(Fe,Mn)2O4 Jacobsite: MnFe2O4 Magnesioferrite: MgFe2O4 Magnetite: FeFe2O4, where one Fe is +2 and two Fe's are +3, respectively. Trevorite: NiFe2O4 Ulvöspinel: TiFe2O4 Zinc ferrite: (Zn,Fe)Fe2O4 Chromium spinels: Chromite: FeCr2O4 Magnesiochromite: MgCr2O4 Zincochromite: ZnCr2O4 Cobalt spinels: Manganesecobaltite: Mn1.5Co1.5O4 Vanadium spinels: Coulsonite: FeV2O4 Magnesiocoulsonite: MgV2O4 Others with the spinel structure: Ringwoodite: (Mg,Fe)2SiO4, an abundant olivine polymorph within the Earth's mantle from about 520 to 660 km depth, and a rare mineral in meteorites Musgravite: Be(Mg,Fe,Zn)2Al6O12 a type of "multi-spinel". There are many more compounds with a spinel structure, e.g. the thiospinels and selenospinels, that can be synthesized in the lab or in some cases occur as minerals. The heterogeneity of spinel group members varies based on composition with ferrous and magnesium based members varying greatly as in solid solution, which requires similarly sized cations. However, ferric and aluminium based spinels are almost entirely homogeneous due to their large size difference.
The spinel structure
The space group for a spinel group mineral may be Fd3m (the same as for diamond), but in some cases (such as spinel itself, MgAl2O4, beyond 452.6 K) it is actually the tetrahedral F43m.
Normal spinel structures have oxygen ions closely approximating a cubic close-packed latice with eight tetrahedral and four octahedral sites per formula unit (but eight times as many per unit cell). The tetrahedral spaces are smaller than the octahedral spaces. B ions occupy half the octahedral holes, while A ions occupy one-eighth of the tetrahedral holes. The mineral spinel MgAl2O4 has a normal spinel structure. In a normal spinel structure, the ions are in the following positions, where i, j, and k are arbitrary integers and δ, ε, and ζ are small real numbers (note that the unit cell can be chosen differently, giving different coordinates):
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