Photoelectrons in the conduction band of GaAs have energy, momentum an
d spin distributions determined by the anisotropic valence band struct
ure and the optical matrix elements. In p-type GaAs, a small fraction
recombine with acceptor states, producing a Hot Electron Luminescence
(HEL) spectrum with a series of peaks due to discrete energy losses th
rough LO-phonon emission. The highest peak has an energy structure due
to warping of the initial heavy hole (HH) band. We report measurement
s of its lineshape and polarisation, identifying emission from electro
ns along particular k-directions. An electric field of 1 kV cm(-1) dis
torts the momentum distribution, and this is reflected in the polarisa
tion profiles. The lineshapes and profiles are modelled using a k.p ba
nd structure and optical matrix elements, the effect of the field bein
g included using a k-broadening model.