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Intrinsic symmetry of the A A B b ‐type distribution
Author(s) -
Xiao Xingcai,
Li Zesheng,
Sun Chiachung,
Tang Auchin
Publication year - 1994
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/mats.1994.040030307
Subject(s) - type (biology) , symmetry (geometry) , invariant (physics) , distribution (mathematics) , polymerization , polymer , radius , physics , chemistry , thermodynamics , mathematical physics , mathematics , mathematical analysis , geometry , nuclear magnetic resonance , ecology , computer security , computer science , biology
By taking an A a B b ‐type polymerisation as an example Each unit has a functional groups of type A and b of type B. , an intrinsic symmetry of the equilibrium number fraction distribution of species is revealed. The symmetry shows that the distribution is invariant under transformation between the variables which describe the total system and the variables which describe the sol. It results that, when the polymer quantities for the pre‐gel regime are given, the corresponding quantities for the post‐gel regime can easily be obtained. As an illustration, the k th radius of an A a B b ‐type polymerisation is discussed.