From a technological point of view one of the promising aspects of the
conjugated polymers is their large nonlinear optical responses. It ha
s been shown experimentally that the nonlinear polarizability per unit
cell of conjugated oligomers as a function of chain length first reac
hes the saturation for oligomers containing a large number of monomers
. Thus, in order to study the properties of polymers theoretically, it
is useful to consider infinite chains. In the present work, we report
results of parameter-free, first-principles, density-functional studi
es of the polarizability, the hyperpolarizability, and other electroni
c properties of isolated trans polyacetylene and polycarbonitrile for
DC fields perpendicular to the chain axis. The influence of a heteroat
om (nitrogen) on these properties is thereby exemplified.