Abstract
The polaron in polyatomic crystals, where several longitudinal optical modes of the lattice vibrations are present, is discussed. The effective mass mH*, obtained in the Haga-type approximation is given by mH*/m=(1+ Sigma i alpha i/12)/(1= Sigma i alpha i/12), where m is the bare mass and alpha i is the Frolich type coupling constant between the electron and the ith mode of the longitudinal optical phonon. Therefore, the effective mass correction is not generally expressed as a simple sum of the mass correction due to the individual modes of the longitudinal optical phonon.

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