  We study the energy structure and the transfer of an extra electron or hole
along periodic polymers made of $N$ monomers, with a repetition unit made of
$P$ monomers, using a Tight-Binding wire model, where a site is a monomer
(e.g., in DNA, a base pair), for $P$ even, and deal with two categories of such
polymers: made of the same monomer (GC..., GGCC..., etc) and made of different
monomers (GA..., GGAA..., etc). We calculate the HOMO and LUMO eigenspectra,
density of states and HOMO-LUMO gap and find some limiting properties these
categories possess, as $P$ increases. We further examine the properties of the
mean over time probability to find the carrier at each monomer. We introduce
the weighted mean frequency of each monomer and the total weighted mean
frequency of the whole polymer, as a measure of the overall transfer frequency
content. We study the pure mean transfer rates. These rates can be increased by
many orders of magnitude with appropriate sequence choice. Generally,
homopolymers display the most efficient charge transfer. Finally, we compare
the pure mean transfer rates with experimental transfer rates obtained by
time-resolved spectroscopy.
