Based on the local-density approximation of density-functional theory, we p
erform an ab initio calculation to determine possible geometries of cis-pol
yacetylene. While the topological stable cis-transoid structure is confirme
d, the so-called "metastable" trans-cisoid phase is not found in this first
-principles calculation. It is shown that it is the large band gap due to t
he two kinds of nonequivalent bonds that causes the nonexistence of the tra
ns-cisoid structure.