We have investigated the effect of hydrostatic pressure on coupled lon
gitudinal optical (LO)-phonon-plasmon modes and Fermi energies in heav
ily doped n-GaAs and n-InP using Raman scattering and photoluminescenc
e (PL) spectroscopy at T = 6 K. The combined Raman and PL data allow u
s to determine both the free carrier density and electron effective ma
ss of the Gamma conduction band minimum as a function of pressure. Nea
r the pressure-induced Gamma-X conduction band crossover both material
s exhibit striking changes in the coupled mode frequencies, which are
caused by the transfer of electrons from Gamma to X minima. The onset
pressure of the electron transfer in n-InP is used to determine the Ga
mma-X crossover pressure P-c = 11.1 +/- 0.4 GPa, in undoped InP.