Slow polymer dynamics in poly(3-hexylthiophene) probed by muon spin relaxation

TL;DR

This study uses muon spin relaxation to investigate the slow molecular dynamics of poly(3-hexylthiophene), revealing detailed fluctuation behaviors consistent with NMR findings and demonstrating a new methodological approach for complex polymer systems.

Contribution

It introduces a novel application of muon spin relaxation analysis incorporating Havriliak-Negami functions to study polymer dynamics across multiple time scales.

Findings

Muon spin relaxation spectra indicate localized radicals and diamagnetic states.

Fluctuation rates derived match NMR observations of polymer chain motions.

Methodology enables detailed analysis of complex molecular dynamics in polymers.

Abstract

The molecular dynamics of regioregulated poly(3-hexylthiophene) P3HT is investigated using muon spin relaxation ($\mu$SR). The response of the $\mu$SR spectra to a longitudinal magnetic field ($B_{\rm LF}$, parallel to the initial muon spin direction) indicates that the implanted muons form both muonated radicals localized on the thiophene ring and diamagnetic states with comparable yields. Moreover, the unpaired electron in the radical undergoes hyperfine interactions with muon bound to thiophene and with neighboring protons, whose fluctuations can serve as a measure for the molecular dynamics. The $B_{\rm LF}$ dependence of the longitudinal muon spin relaxation rate ($1/T_{1\mu}$) measured in detail at several temperatures is found to be well reproduced by the spectral density function $J(\omega)$ derived from the local susceptibility that incorporates the Havriliak-Negami (H-N) function used in the analysis of dielectric relaxation, $\chi(\omega)\propto1/[1-i(\omega/\tilde{\nu})^\delta]^\gamma$ (where $\tilde{\nu}$ is the mean fluctuation rate, and $0<\gamma, \delta\le1$). The magnitude of $\tilde{\nu}$ and its temperature dependence deduced from the analysis of $1/T_{1\mu}$ are found to be consistent with the motion of hexyl chains and thiophene rings suggested by $^{13}$C-NMR. The present result marks a methodological milestone in the application of $\mu$SR to the dynamics of complex systems with coexisting fluctuations over a wide range of time scales, such as polymers.