{"title":"Scaling Behavior of Entanglement Dynamics in Polyelectrolyte Solutions: Insights from High-Frequency Rheometry","authors":"Yahya Rharbi","doi":"10.1021/acsmacrolett.4c00722","DOIUrl":null,"url":null,"abstract":"Entanglement dynamics in polyelectrolyte solutions remain a challenging topic, particularly in capturing the entire dynamic spectrum, from single entanglement relaxation (τ<sub>e</sub>) to reptation time (τ<sub>rep</sub>), and aligning these observations with scaling predictions in the semidilute entangled (SE) and fully entangled (FE) neutral regimes. Using piezo compressional and classic rotational rheometry, we investigate the scaling behaviors of key viscoelastic properties over several decades of time scales in ten million Mw cationic polyacrylamide solutions. Specific viscosity (η<sub>sp</sub>) and τ<sub>rep</sub> scale as predicted within Fuoss, SE, and FE regimes, defining crossover concentrations between these regimes (<i>C</i><sub>e</sub> and <i>C</i><sub>D</sub>). More importantly, τ<sub>e</sub>, the rubbery plateau width (τ<sub>rep</sub>/τ<sub>e</sub>), and the high-frequency modulus (<i>G</i><sub>e</sub>) scale as <i>C</i><sup>–1.14±0.02</sup>, <i>C</i><sup>1.25±0.07</sup>, and <i>C</i><sup>1.32±0.05</sup>, aligning with SE prediction in the early SE regime before transitioning to neutral scaling of <i>C</i><sup>–2.7±0.14</sup>, <i>C</i><sup>3.1±0.15</sup>, and <i>C</i><sup>2.35±0.07</sup> at an intermediate concentration between <i>C</i><sub>e</sub> and <i>C</i><sub>D</sub> labeled <i>C</i><sub>D</sub><sup>e</sup>. These results indicate that electrostatic interactions affect single entanglements and reptation differently, leading to a transition to neutral behavior at <i>C</i><sub><i>D</i></sub><sup>e</sup> for the former and at <i>C</i><sub>D</sub> for the latter.","PeriodicalId":18,"journal":{"name":"ACS Macro Letters","volume":"59 1","pages":""},"PeriodicalIF":5.1000,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Macro Letters","FirstCategoryId":"92","ListUrlMain":"https://doi.org/10.1021/acsmacrolett.4c00722","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"POLYMER SCIENCE","Score":null,"Total":0}
引用次数: 0
Abstract
Entanglement dynamics in polyelectrolyte solutions remain a challenging topic, particularly in capturing the entire dynamic spectrum, from single entanglement relaxation (τe) to reptation time (τrep), and aligning these observations with scaling predictions in the semidilute entangled (SE) and fully entangled (FE) neutral regimes. Using piezo compressional and classic rotational rheometry, we investigate the scaling behaviors of key viscoelastic properties over several decades of time scales in ten million Mw cationic polyacrylamide solutions. Specific viscosity (ηsp) and τrep scale as predicted within Fuoss, SE, and FE regimes, defining crossover concentrations between these regimes (Ce and CD). More importantly, τe, the rubbery plateau width (τrep/τe), and the high-frequency modulus (Ge) scale as C–1.14±0.02, C1.25±0.07, and C1.32±0.05, aligning with SE prediction in the early SE regime before transitioning to neutral scaling of C–2.7±0.14, C3.1±0.15, and C2.35±0.07 at an intermediate concentration between Ce and CD labeled CDe. These results indicate that electrostatic interactions affect single entanglements and reptation differently, leading to a transition to neutral behavior at CDe for the former and at CD for the latter.
期刊介绍:
ACS Macro Letters publishes research in all areas of contemporary soft matter science in which macromolecules play a key role, including nanotechnology, self-assembly, supramolecular chemistry, biomaterials, energy generation and storage, and renewable/sustainable materials. Submissions to ACS Macro Letters should justify clearly the rapid disclosure of the key elements of the study. The scope of the journal includes high-impact research of broad interest in all areas of polymer science and engineering, including cross-disciplinary research that interfaces with polymer science.
With the launch of ACS Macro Letters, all Communications that were formerly published in Macromolecules and Biomacromolecules will be published as Letters in ACS Macro Letters.