TY - JOUR
T1 - Thermodynamics of isotopic polymer mixtures
T2 - Significance of local structural symmetry
AU - Bates, F. S.
AU - Muthukumar, M.
AU - Wignall, G. D.
AU - Fetters, L. J.
PY - 1988
Y1 - 1988
N2 - The dependence on composition (Φ) and degree of polymerization (N) of the effective segment-segment interaction parameter, X̃ = 1/2∂2Γ/∂Φ2 has been determined for mixtures of perdeuterated and normal (protonated) poly(vinylethylene) and poly(ethylethylene) by small angle neutron scattering (SANS), where Γ represents the excess free energy of mixing. Owing to the small reduction in length and polarizability of carbon-hydrogen bonds with deuterium substitution, isotopic polymer mixtures are characterized by small positive X̃ parameters. However, deuterium substitution does not significantly influence the local structural symmetry (i.e., the liquid structure or reduced thermodynamic properties) of polymer isotopes, consistent with the assumptions of Flory-Huggins (FH) lattice theory. Nevertheless, we find that X̃ depends significantly on both Φ and N, contrary to the predictions of FH theory. A general theory, which corrects FH theory for monomer concentration fluctuations, is shown to closely account for these experimental results. In understanding the previous experimental investigations of X̃ for mixing chemically different species, the monomer concentration fluctuations discussed here must be addressed in addition to the effects due to local structural asymmetry.
AB - The dependence on composition (Φ) and degree of polymerization (N) of the effective segment-segment interaction parameter, X̃ = 1/2∂2Γ/∂Φ2 has been determined for mixtures of perdeuterated and normal (protonated) poly(vinylethylene) and poly(ethylethylene) by small angle neutron scattering (SANS), where Γ represents the excess free energy of mixing. Owing to the small reduction in length and polarizability of carbon-hydrogen bonds with deuterium substitution, isotopic polymer mixtures are characterized by small positive X̃ parameters. However, deuterium substitution does not significantly influence the local structural symmetry (i.e., the liquid structure or reduced thermodynamic properties) of polymer isotopes, consistent with the assumptions of Flory-Huggins (FH) lattice theory. Nevertheless, we find that X̃ depends significantly on both Φ and N, contrary to the predictions of FH theory. A general theory, which corrects FH theory for monomer concentration fluctuations, is shown to closely account for these experimental results. In understanding the previous experimental investigations of X̃ for mixing chemically different species, the monomer concentration fluctuations discussed here must be addressed in addition to the effects due to local structural asymmetry.
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U2 - 10.1063/1.455442
DO - 10.1063/1.455442
M3 - Article
AN - SCOPUS:36549103114
SN - 0021-9606
VL - 89
SP - 535
EP - 544
JO - The Journal of chemical physics
JF - The Journal of chemical physics
IS - 1
ER -