  We consider radiative \beta--decay of the neutron in heavy baryon chiral
perturbation theory, with an extension including explicit \Delta degrees of
freedom. We compute the photon energy spectrum as well as the photon
polarization; both observables are dominated by the electron bremsstrahlung
contribution. Nucleon-structure effects not encoded in the weak coupling
constants g_A and g_V are determined at next-to-leading order in the chiral
expansion, and enter at the {\cal O}(0.5%)-level, making a sensitive test of
the Dirac structure of the weak currents possible.
