We review a density-functional method for calculating the electronic p
roperties of infinite, periodic, helical, isolated polymer chains. It
is based on expanding the eigenfunctions to tile Kohn-Sham equations i
n a basis of LMTOs, but is a full-potential method. As examples of app
lications we study C-C bond lengths for linear carbon chains and trans
polyacetylene, and C-N bond lengths for polycarbonitrile. Furthermore
, we study the dimerization as a function of charge, as well as the wa
y the electronic properties of a conjugated polymer change in the pres
ence of metal atoms and/or an applied DC field.