In the framework of $\mathbf{k}.\mathbf{p}$ theory, we have calculated the expressions for $g$ factors for electrons and holes taking into account up to 16-band contributions for materials with tetragonal symmetry with $D_{4h}$ as the point group. Because the recent experimental results for Landé factors do not evidence their anisotropy in the plane perpendicular to the tetragonal crystal c axis, we use these experimental results and the present $\mathbf{k}.\mathbf{p}$ calculations to determine the Kane energies perpendicular to and along the c axis, as well as the Luttinger parameters ${\kappa }_1$ and ${\kappa }_2$ for ${\mathrm{MAPbI}}_3$ and ${\mathrm{CsPbBr}}_3$.

• Received 8 July 2022
• Revised 13 September 2022
• Accepted 14 September 2022

DOI:https://doi.org/10.1103/PhysRevB.106.165201