The force constants and elastic properties of some polymers are calculated
with a full-electron, crystal-orbital density functional method. Calculatio
ns are carried out on single helical chains of polyethylene, polytetrafluor
oethylene (teflon), polyglycine (nylon-2), and nylon-3. The longitudinal el
astic moduli are obtained both from the Hessian and by direct elongation re
laxations. The different degrees of freedom of the polymers are ranked acco
rding to their contributions to the elastic response. It is shown, that a p
roper choice of the internal coordinates makes it possible to keep some of
them frozen during the process without a considerable loss of elasticity.