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First principles density functional theory based calculations have beencarried out to predict the effects of Mn replacement by Fe and Cr on electronicas well as magnetic properties of Pt$_{2}$MnGa as well as Ni$_{2}$MnGa. All thematerials studied here are predicted to have conventional Heusler alloystructure in their ground state and they are found to be electronically stableon the basis of their respective formation energy. The replacement of Mn by Feleads to a ferromagnetic ground state whereas in case of Mn replacement by Cran {\it intra-sublattice} anti-ferromagnetic configuration has been observed tohave lower energy. We study the magnetic exchange interaction between the atomsfor the materials with ferromagnetic and anti-ferromagnetic configurations toshow the effects of Fe and Cr substitution at Mn site on the magneticinteractions of these systems. Detailed analysis of electronic structure interms of density of states has been carried out to study the effect ofsubstitution.

Magnetic Interactions and Electronic Structure of Pt$_{2}$Mn$_{1-x}$Y$_{x}$Ga (Y = Cr and Fe) system : An ab-initio calculation