Determination of the free volume of thermosetting polymers

IF 4.5 2区 化学 Q2 POLYMER SCIENCE Polymer Pub Date : 2025-04-10 Epub Date: 2025-02-22 DOI:10.1016/j.polymer.2025.128187
Boyuan An , Zhimin Xie , Bin'an Jiang , Dongjie Zhang , Yuyan Liu , Hanyu Ma
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Abstract

Free volume is a crucial concept for discussing the mobility of chain segments and the glass transition temperature (Tg) of polymers. Despite the necessity for a convenient approach to determine the free volume of thermosetting polymers, particularly epoxy resins, a suitable method is currently absent. The classical locally correlated lattice (LCL) theory is a significant method for calculating the hardcore volume and free volume of polymers. Based on this theory, the LCL equation of state (EOS) has been employed to calculate the free volume of several thermoplastic polymers via pressure-volume-temperature (PVT) data. For thermosetting polymers, such confined sites as cross-linked points constrain the mobility of the segment, the nonbonding interactions parameter q in the EOS will influence the hardcore volume Vhc (EOS). However, the EOS rarely involves such a constraint effect, resulting in an excessive Vhc (EOS) compared with the hardcore volume Vhc (PVT) obtained via the PVT. In view of the impact of confined sites on the nonbonding interactions, herein we propose a modified EOS (M-EOS) within the framework of LCL theory and determine the molecular parameters and hardcore volume Vhc (M-EOS) of thermosetting polymers. Vhc (M-EOS) is calculated closer to Vhc (PVT) than Vhc (EOS). Since the linear polymers have no cross-linked points, Vhc (M-EOS) is underestimated by the M-EOS in comparison with Vhc (PVT) of linear polymers. Consequently, the M-EOS and EOS are suitable for calculating the hardcore volume and free volume of thermosetting polymers and linear polymers, respectively. In this sense, the present work extends the scope of the application of the LCL theory to thermosetting polymers.

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热固性聚合物自由体积的测定
自由体积是讨论聚合物链段迁移率和玻璃化转变温度(Tg)的关键概念。尽管需要一种方便的方法来确定热固性聚合物,特别是环氧树脂的自由体积,但目前还没有合适的方法。经典的局部相关晶格(LCL)理论是计算聚合物核体积和自由体积的重要方法。基于这一理论,利用LCL状态方程(EOS),通过压力-体积-温度(PVT)数据计算了几种热塑性聚合物的自由体积。对于热固性聚合物,交联点等受限位点限制了段的迁移性,EOS中的非键相互作用参数q将影响核核体积Vhc(EOS)。然而,EOS很少涉及这种约束效应,导致与通过PVT获得的核核体积Vhc(PVT)相比,Vhc(EOS)过高。鉴于限制位点对非键相互作用的影响,本文在LCL理论框架内提出了改进的EOS (M-EOS),并确定了热固性聚合物的分子参数和核核体积Vhc(M-EOS)。Vhc(M-EOS)的计算结果比Vhc(EOS)更接近Vhc(PVT)。由于线性聚合物没有交联点,与线性聚合物的Vhc(PVT)相比,M-EOS低估了Vhc(M-EOS)。因此,M-EOS和EOS分别适用于计算热固性聚合物和线性聚合物的硬核体积和自由体积。从这个意义上说,本工作扩展了LCL理论在热固性聚合物中的应用范围。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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阿拉丁
dicumyl peroxide (DCP)
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ethylene vinyl acetate copolymer (EVA)
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polyether amine
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Diglycidyl ether of bisphenol A
来源期刊
Polymer
Polymer 化学-高分子科学
CiteScore
7.90
自引率
8.70%
发文量
959
审稿时长
32 days
期刊介绍: Polymer is an interdisciplinary journal dedicated to publishing innovative and significant advances in Polymer Physics, Chemistry and Technology. We welcome submissions on polymer hybrids, nanocomposites, characterisation and self-assembly. Polymer also publishes work on the technological application of polymers in energy and optoelectronics. The main scope is covered but not limited to the following core areas: Polymer Materials Nanocomposites and hybrid nanomaterials Polymer blends, films, fibres, networks and porous materials Physical Characterization Characterisation, modelling and simulation* of molecular and materials properties in bulk, solution, and thin films Polymer Engineering Advanced multiscale processing methods Polymer Synthesis, Modification and Self-assembly Including designer polymer architectures, mechanisms and kinetics, and supramolecular polymerization Technological Applications Polymers for energy generation and storage Polymer membranes for separation technology Polymers for opto- and microelectronics.
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