The perovskite structure refers to a specific crystal structure type with the general chemical formula $ABX_3$. Compounds exhibiting this structure are crucial in various fields, including materials science and chemistry.
We need to identify which of the given compounds fit the $ABX_3$ general formula and are known to possess the perovskite structure in the solid state.
This compound has the formula $ABX_3$, where A = Ca, B = Ti, and X = O. Calcium titanate is a well-known example exhibiting the perovskite crystal structure.
This compound follows the $AB_2O_4$ formula, characteristic of the spinel structure, not the perovskite structure.
Magnetite can be represented as $Fe^{2+}Fe_2^{3+}O_4$, which also fits the $AB_2O_4$ spinel structure, not the perovskite ($ABX_3$) structure.
This compound fits the $ABX_3$ formula, where A = Cs, B = Pb, and X = I. Halide compounds like $CsPbI_3$ are known to adopt the perovskite structure.
Based on the analysis, compounds fitting the $ABX_3$ formula and known to possess the perovskite structure are:
Therefore, the compounds exhibiting the perovskite structure are $CaTiO_3$ and $CsPbI_3$.
The band structure given below represents a
