Relations force-longueur a temperature ambiante determinees pour une serie de polyethylenes d'une large gamme de masse moleculaire et contribution moleculaire

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Determination of the distribution of straight‐chain segment lengths in crystalline polyethylene from the Raman LAM‐1 band

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A simple treatment based on continuum mechanics shows that weak interlamellar forces in crystalline n-alkanes should result in a characteristic upward shift of the frequencies of the longitudinal acoustical (LA) modes, which is independent of the chain length and decreases inversely with the mode order. A raman spectroscopic determination of the LA mode frequencies of a series of different n-alkanes confirms the theoretical conclusion and permits a derivation of a force constant characteristic of the interlamellar forces. The discussion results in a new formula valid for the LA mode frequencies of the orthorhombic n-alkanes in the acoustical limit and yields a new determination of the limiting elastic modulus Ec of crystalline polyethylene. The value obtained, Ec = 2.9 × 1012 dyne/cm2, is markedly smaller than the value derived by Schaufele and Shimanouchi neglecting the influence of the interlamellar forces on the LA mode frequencies.

A raman spectroscopic determination of the interlamellar forces in crystalline n‐alkanes and of the limiting elastic modulus Ec of polyethylene

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A raman spectroscopic determination of the interlamellar forces in crystalline n‐alkanes and of the limiting elastic modulus Ec of polyethylene