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The half metallic properties of Ti\raisebox{-.2ex}{\scriptsize 2}CoSnfull-Heusler compound is studied within the framework of the density functionaltheory with the Perdew Burke Ernzerhof generalized gradient approximation(GGA). Structural optimization was performed and the calculated equilibriumlattice constant is 6.340 A. The spin up band of compound has metalliccharacter and spin down band is semiconducting with an indirect gap of 0.598 eVat equilibrium lattice constant. For the lattice parameter, ranging from 6.193to 6.884 A the compound presents 100% spin polarization and a total magneticmoment of 3$\mu_{B}$.

Half metallic state and magnetic properties versus the lattice constant in Ti\raisebox{-.2ex}{\scriptsize 2}CoSn Heusler compound: an ab initio study