A Harris functional approach is used to investigate the electron-phono
n interaction in silicon, within the rigid ion approximation. The nece
ssary lattice dynamics are solved via the valence shell model. The ele
ctron-phonon matrix elements for transitions between selected electron
ic states are calculated, and equivalent deformation potentials are pr
esented and compared with results of other models. The resulting defor
mation potentials exhibit significant dispersion throughout much of th
e Brillouin zone, though remain nearly constant for intervalley transi
tions between states close to the conduction band minima. The overall
value of the deformation potentials is somewhat higher than found in p
revious models and thus in better agreement with experiment.