Fourier transform infrared absorption spectroscopy has been performed
on a GaN epitaxial film grown by the hydride vapor phase epitaxy on sa
pphire substrate. We observe a transition at 215 cm(-1) with a half wi
dth of 2 cm(-1), which we attribute to an electronic transition on the
basis of temperature dependent measurements. We assign to the 1s-2p t
ransition of the residual shallow donors. Using effective mass theory
neglecting anisotropies in the effective mass and dielectric constant
the binding energy of the shallow donors is calculated to be (35.5 +/-
0.5) meV. The electron effective mass is (0.236 +/- 0.005) m(0),. Bas
ed on this knowledge, the energy separation between the donor-acceptor
and the band-acceptor transitions as seen in photoluminescence at 45
K can be used to evaluate the donor concentration in the epitaxial fil
ms.