The　interaction　induced　by　lattice　vibration　to　the　carriers　transport　in　solid　materials　is　analyzed，the　long　acoustic　wave　scattering　interaction　is　focused.Using　the　Boltzmann　transport　theory　to　describe the　carrier　transport，this　paper　gives　the　elaborate　analyses　and　calculation　formula　of　carriers　mobility originating　from　the　deformation　potential　scattering　and　the　piezoelectric　scattering　interactions.