By an ab initio calculation based on the local density approximation o
f density-functional theory, the force constants up to the third neare
st-neighbour carbon-hydrogen unit are determined to obtain the phonon
spectrum of trans-polyacetylene for the first time. The calculated pho
non frequencies at the Gamma point coincide well with those of the obs
erved infrared and Raman spectra of trans-polyacetylene. The motion of
hydrogen atoms is shown to be important in determining the phonon spe
ctrum of polyacetylene due to the contribution of the bending between
the CH and CC bonds.