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The tunability of the optical properties of lead halide perovskitenanocrystals makes them highly appealing for applications. Both, halide anionexchange and quantum confinement pave the way for tailoring their band gapenergy. For spintronics applications, the Land\'e g-factors of electrons andhole are of great importance. By means of the empirical tight-binding and$\textbf{k}\cdot\textbf{p}$ methods, we calculate them for nanocrystals of theclass of all-inorganic lead halide perovskites CsPb$X_3$ ($X =\text{I},\,\text{Br},\,\text{Cl}$). The hole g-factor as function of the bandgap follows the universal dependence found for bulk perovskites, while for theelectrons a considerable modification is predicted. Based on the$\textbf{k}\cdot\textbf{p}$ analysis we conclude that this difference arisesfrom the interaction of the bottom conduction band with the spin-orbit splitelectron states. The model predictions are confirmed by experimental data forthe electron and hole g-factors in CsPbI3 nanocrystals placed in a glassmatrix, measured by time-resolved Faraday ellipticity in a magnetic field atcryogenic temperatures.

Tailoring the electron and hole Land\'e factors in lead halide perovskite nanocrystals by quantum confinement and halide exchange