Chain length dependence of localized vibrational modes around a soliton in trans-polyacetylene |
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| Affiliation: | 1. Department of Chemistry, Aligarh Muslim University, Aligarh 202002, Utter Pradesh, India;2. Department of Chemistry, University of Aden, Aden, Yemen;3. Department of Plant protection, Aligarh Muslim University, Aligarh 202002, Utter Pradesh, India |
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| Abstract: | ![]()
Vibrational frequencies of finite polyacetylene with a charged soliton are calculated using the molecular orbital method. It is found that the frequency of the translational mode has a remarkable length effect and is inversely proportional to the square of chain length. The dependence is explained by regarding the soliton as a quantum particle in a one dimensional box. |
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