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Effect of the temperature and magnetic field induced martensitictransformation (MT) on the electronic structure and some physical properties ofbulk Fe$_{45.2}$Mn$_{25.9}$Ga$_{28.9}$ Heusler alloy has been investigated.{According to the experimental results of DSC, magnetic and transportmeasurements direct and reverse martensitic transformation without externalmagnetic field takes place within 194 $\leq T \leq$ 328 K temperature rangewith a hysteresis up to $\Delta T \approx$ 100 K defined as $\Delta T$ =$A_{f,s}$ - $M_{s,f}$, where $A_{f,s}$ and $M_{s,f}$ are the criticaltemperatures of direct and reverse martensitic transformation. Externalmagnetic field of $\mu_{0}H$ = 5 T causes a high-temperature shift of MTtemperatures.} MT from parent austenite L2$_{1}$ phase to martensitictetragonally distorted L2$_{1}$ one (i. e. to L1$_{0}$) causes significantchanges in the electronic structure of alloy, a drastic increase in alloymagnetization, a decrease in the alloy resistivity, and a reversal of the signof the temperature coefficient of resistivity from negative to positive. At thesame time experimentally determined optical properties ofFe$_{45.6}$Mn$_{25.9}$Ga$_{28.9}$ Heusler alloy in austenitic and martensiticstates look visually rather similar being noticeable different in microscopicnature as can be concluded from first-principle calculations. Experimentallyobserved changes in the physical properties of the alloy are discussed in termsof the electronic structures of an austenite and martensite phases.

Effect of the temperature and magnetic field induced martensitic  transformation in bulk Fe$_{45}$Mn$_{26}$Ga$_{29}$ alloy on its electronic  structure and physical properties