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First principles calculation supports the occurence of a phonon anomaly along[211] in Ni$_2$FeGa that was observed experimentally for the first time asstructural modulations along [211] direction. Fermi surface scans have beenperformed in both austenite and martensite phase to observe the possible Ferminesting features in the system. The magnitude of observed Fermi surface nestingvectors in (211) plane exactly match the phonon anomaly wavevectors along [211]direction. Electron-phonon calculations in the austenite phase shows that thereis significant electron-phonon coupling in the system which may arise out ofthe lattice coupling between lower acoustic phonon modes and higher opticalphonon modes and also because of strong Fermi surface nesting features observedin the system.

First principles correspondence of a second type of phonon anomaly along  [211] to the Fermi nesting features and associated electron-phonon  interactions in Ni$_2$FeGa