A characterization of the Si impurity in GaN is performed by Raman spe
ctroscopy. Applying hydrostatic pressure up to 25 GPa we study the beh
avior of the LO phonon-plasmon mode in a series of high mobility Si do
ped GaN films. In contrast to earlier results on unintentionally doped
bulk GaN crystals no freeze out of the free carriers could be observe
d in Si doped samples. We find that Si is a shallow hydrogenic donor t
hroughout the pressure range studied. This result positively excludes
Si incorporation as a dominant source of free electrons in previously
studied bulk GaN samples.