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Self-Consistent Field Analysis of Molecular Bottle-Brushes with Primary and Secondary Side Chains: Induced Persistence Length and Lateral Thickness
Polymer Science, Series C ( IF 1.6 ) Pub Date : 2018-11-29 , DOI: 10.1134/s1811238218020169
I. V. Mikhailov , A. A. Darinskii , E. B. Zhulina , O. V. Borisov , F. A. M. Leermakers

Macromolecules may feature liquid crystalline behavior when the chain aspect ratio, that is the ratio between the chain persistence length and the cross-sectional thickness of its segments, is large. Scaling theory suggests that for molecular bottle-brushes under good solvent condition the induced persistence length does not depend on the chain architecture but only on the amount of segments in the side chains per unit length of the backbone. Numerical self-consistent field results are presented for macromolecular bottle-brushes with side chains of variable architecture attached at regular intervals along the backbone chain. We consider side chains (flexible “flagstaffs”), which feature one branch-point onto which secondary side chains (the “flag”) emanate. We varied the distance of this branch-point from the main chain as our tuning parameter, resembling the “raising of the flag.” For a given height of the flags, that is when the mass-distribution along a side chain is architecturally fixed, the induced persistence length is a function of the branching parameter (ratio between the length of the longest path and the total number of segments in the graft). We found that the induced persistence length and hence the chain aspect ratio, vary non-monotonically with the height of the flags. The lowest aspect ratio is found when the flag is raised to about a quarter of the full height of the flagstaff. The induced persistence length is independent of this height when upon bending the translocation of the side chains from compressed to expanded regions is artificially suppressed, which leads us to speculate that the non-monotonic behavior of aspect ratio is related to the efficiency of side chains to partly translocate themselves upon bending.



中文翻译:

具有主侧链和副侧链的分子瓶刷的自洽场分析:诱导的持久性长度和横向厚度

当链长宽比(即链条持久长度与其链段横截面厚度之间的比率)较大时,大分子可能具有液晶行为。标度理论表明,对于在良好溶剂条件下的分子瓶刷,其诱导的持久性长度并不取决于链的结构,而仅取决于每单位骨架长度的侧链中链段的数量。给出了具有可变结构的侧链的高分子瓶刷的数值自洽场结果,该结构沿主链按规则间隔连接。我们考虑侧链(灵活的“旗杆”),其特征在于一个分支点,次级侧链(“旗”)发出于该分支点。我们将分支点到主链的距离作为调整参数,类似于“升旗”。对于给定的标志高度,也就是说,当沿侧链的质量分布在结构上固定时,诱导的持久长度是分支参数的函数(最长路径的长度与段中段总数的比率)嫁接)。我们发现,诱导的持久性长度以及因此的链长宽比随标志的高度非单调变化。当旗帜升到旗杆全高的大约四分之一时,找到最低的纵横比。当弯曲时人为抑制侧链从压缩区域扩展到扩展区域时,诱导的持久长度与该高度无关。

更新日期:2018-11-29
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