末端間矢量是從聚合物的一個末端指向另一個末端的矢量,定義為 R → = R N → − R O → = ∑ i = 1 N r i → {\displaystyle {\vec {R}}={\vec {R_{N}}}-{\vec {R_{O}}}=\sum _{i=1}^{N}{\vec {r_{i}}}} R → {\displaystyle {\vec {R}}} 是聚合物的末端間矢量 均方末端間矢量(均方末端距)定義為 ⟨ R 2 ⟩ = ⟨ ∑ i r i → ⋅ ∑ j r j → ⟩ = ∑ i ∑ j ⟨ r i → ⋅ r j → ⟩ = ∑ i ⟨ r i → ⋅ r i → ⟩ + 2 ∑ ∑ i < j ⟨ r i → ⋅ r j → ⟩ {\displaystyle {\begin{aligned}\langle R^{2}\rangle &=\langle \sum _{i}{\vec {r_{i}}}\cdot \sum _{j}{\vec {r_{j}}}\rangle \\&=\sum _{i}\sum _{j}\langle {\vec {r_{i}}}\cdot {\vec {r_{j}}}\rangle \\&=\sum _{i}\langle {\vec {r_{i}}}\cdot {\vec {r_{i}}}\rangle +2\sum \sum _{i<j}\langle {\vec {r_{i}}}\cdot {\vec {r_{j}}}\rangle \\\end{aligned}}} Remove ads參考文獻 The mean square end-to-end vector (頁面存檔備份,存於網際網路檔案館) - W.J. Briels 參見 聚合物 自由連接鏈 蠕蟲狀鏈 Loading related searches...Wikiwand - on Seamless Wikipedia browsing. On steroids.Remove ads