By an ab initio calculation based on the local-density approximation o
f density-functional theory, the possible geometries of cis-polyacetyl
ene are determined. While the stable cis-transoid structure is confirm
ed, the ''metastable'' trans-cisoid phase is not found in our first-pr
inciples calculation. Further calculations indicate that the electroni
c band gap in cis-polyacetylene is contributed almost equally by the P
eierls dimerization and the nonequivalence of its two kinds of bonds.
This fact is shown to account for the nonexistence of the trans-cisoid
phase in cis-polyacetylene.