We discuss a model for transport properties in a donor-acceptor system conn
ected by a dimerized chain. The system is assumed to be subject to site-dia
gonal disorder. The average spectral properties of the system are discussed
by using the random matrix Wegner model (Anderson's type tight-binding Ham
iltonian (TBH)) for the electronic part of the problem. In our analysis we
use the "Blue's function" (functional inverse of the resolvent) formalism.
For a simple one-dimensional tight-binding picture, we show that the diagon
al disorder destroys the energy gap emerging as a Peierls effect in a nonpe
rturbed system without disorder, rederiving thus the results obtained earli
er using different models of site randomness.