Develop an expression for the fundamental vibrational frequency of a one-dimensional random coil that has been slightly stretched and then released. Evaluate this frequency for a sample of polyethene of molar mass 65 kg mol−1 at 20 °C. Account physically for the dependence of frequency on temperature and molar mass.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter14: Rotational And Vibrational Spectroscopy
Section: Chapter Questions
Problem 14.61E
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Develop an expression for the fundamental vibrational frequency of a one-dimensional random coil that has been slightly stretched and then released. Evaluate this frequency for a sample of polyethene of molar mass 65 kg mol−1 at 20 °C. Account physically for the dependence of frequency on temperature and molar mass.

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