We extend the deformation potential model developed previously for InG
aAs/InP quantum wells to include strained quaternary wells, under comp
ressive or tensile strain, and lattice-matched (or also strained) quat
ernary barriers. This requires interpolation of the needed quaternary
materials parameters in a plane bound by the four binary parent compou
nds. The calculated energies of heavy and light hole transitions are c
ompared to measured values obtained on a set of compressively strained
multi-quantum-well quaternary structures grown on (100) InP with the
lattice mismatch strain Delta a/a as large as 0.75%. Our experimental
results are in good agreement with the extended model.