Dimensions of Network Polymers: Universal Relationship for the Ratio between Mean‐Square Radius of Gyration and Graph Diameter
Dimensions of Network Polymers: Universal Relationship for the Ratio between Mean‐Square Radius of Gyration and Graph Diameter
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网络聚合物的尺寸：均方回转半径与图形直径之比的普遍关系
DOI：
10.1002/mats.202300012
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发表时间：
2023
影响因子：
1.4
通讯作者：
Tobita Hidetaka
中科院分区：
文献类型：
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作者：
S. Zhang;S. Inagaki;Y. Kubota;西村京輔，志村泰充，稲垣怜史，窪田好浩;張 聖翔，稲垣怜史，窪田好浩;黒沢実穂乃，原孝佳，一國伸之;日下裕太，西本俊介，亀島欣一;Tobita Hidetaka
研究了网络聚合物的均方回转半径Rg2和图直径D，它们描述了聚合物的尺寸。对于周期秩为r的随机和非随机统计网络，线性关系Rg 2 = arD适用。无环结构0与无环结构0的比值是无环结构0与无环结构0的比值，无环结构0与无环结构0的比值是无环结构0与无环结构0的比值。对于具有给定数量的r的聚合物部分，交联的非无规性质倾向于使Rg2和D与相应的无规网络相比更大，除了具有小的r值的有限情况。
Mean‐square radius of gyrationRg2and the graph diameterD, which describe the dimensions of polymers, are investigated for the network polymers. Both for the random and nonrandom statistical networks whose cycle rank isr, a linear relationshipRg2=arDapplies. The ratioϕofaragainst the corresponding ring‐free architecturea0,ϕr=ar/a0has a universal relationship applicable both for the random and nonrandom networks withϕr∝r−0.25for larger’s, and an empirical relationship,ϕr= [(1 +r)−2/3+r/2]−0.25is proposed. For the polymer fraction having a given number ofr, the nonrandom nature of crosslinking tends to make bothRg2andDlarger compared with the corresponding random networks, except for the limited cases with small values ofr’s.