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Macrophase versus Microphase Separation in Solutions of Block Copolymers: Lifshitz Line in the Energetic Parameter's Space
Macromolecular Theory and Simulations ( IF 1.4 ) Pub Date : 2020-09-02 , DOI: 10.1002/mats.202000044
Yury Kriksin 1 , Igor Erukhimovich 2
Affiliation  

The aim of this work is an in‐depth study of the stability of solutions of block copolymers with respect to both micro‐ and macrophase separation. For this purpose the correlation functions of block copolymers of various architectures are calculated as well as the critical values ​​of the wave number and Flory Huggins parameter at which a certain type of separation are estimated. As the result, the Lifshitz lines are built. Unlike some preceding papers dealing with the Lifshitz lines in the space of some thermodynamic parameters like polymer volume fraction, temperature, and composition, this consideration here concerns the space of some energetic (molecular) parameters related to the Flory–Huggins interaction parameters. In other words, this study answers a non‐trivial problem in which repeated units are to be chosen to synthesize such a block copolymer of a given architecture that its phase separation in a prescribed (micro‐ or macro) way would be guaranteed. A method is proposed for calculating the Lifshitz lines delimiting the regions of macro‐ and microphase separation in solutions of both diblock copolymers and copolymers of a more complex architecture.

中文翻译:

嵌段共聚物溶液中的宏观相与微观相分离:能量参数空间中的Lifshitz线

这项工作的目的是深入研究嵌段共聚物溶液在微相和宏观相分离方面的稳定性。为此目的,计算了各种结构的嵌段共聚物的相关函数,以及波数和Flory Huggins参数的临界值,在该临界值处估计了某种类型的分离。结果,建立了Lifshitz生产线。与之前的某些涉及Lifshitz线的论文不同的是,它们涉及一些热力学参数,例如聚合物的体积分数,温度和组成,而此处的考虑涉及与Flory-Huggins相互作用参数有关的一些高能(分子)参数的空间。换一种说法,这项研究回答了一个非同寻常的问题,在该问题中,应选择重复单元来合成给定结构的嵌段共聚物,以确保按规定的(微观或宏观)方式进行相分离。提出了一种计算Lifshitz线的方法,该线限定了二嵌段共聚物和结构更复杂的共聚物溶液中宏观和微观相分离的区域。
更新日期:2020-09-02
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