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With the intention to reveal the effect of the substitution, Ti-doped InSballoy, we accomplished a first-principles prediction within the FPLAPW+lomethod. We used GGA-PBEsol scheme attached with the improved TB-mBJ approach topredict structural, electronic, and magnetic properties of In$_{1-x}$Ti$_{x}$Sbwith concentration $x = 0$, $0.125$, $0.25$, $0.50$, $0.75$, $0.875$, and $1$.Our lattice parameters are found in favorable agreement with the availabletheoretical and experimental data. The calculation shows that all structuresare energetically stable. The substitutional doping transforms the ioniccharacter of the InSb compound in half-metallic ferromagnetic comportment forconcentration $x = 0$, $0.125$, $0.25$, and $0.50$, with a spin polarization of$100$% at the Fermi level, and metallic nature for In$_{0.25}$Ti$_{0.75}$Sb andIn$_{0.125}$Ti$_{0.875}$Sb. The total magnetic moments are also estimated atabout 1 $\mu_{\text{B}}$. In$_{0.875}$Ti$_{0.125}$Sb, In$_{0.75}$Ti$_{0.25}$Sb,and In$_{0.50}$Ti$_{0.50}$Sb have half-metallic ferromagnets comportment andthey can be upcoming applicants for spintronics applications.

DFT based investigation of the structural, magnetic, electronic, and half-metallic properties of solid In$_{1-x}$Ti$_{x}$Sb solutions