Abstract

By an ab initio calculation based on the local-density approximation of density-functional theory, the possible geometries of cis-polyacetylene are determined. While the stable cis-transoid structure is confirmed, the ``metastable'' trans-cisoid phase is not found in our first-principles calculation. Further calculations indicate that the electronic band gap in cis-polyacetylene is contributed almost equally by the Peierls 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.

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