Making use of the invariant property of the equilibrium size distribution of the hydrogen bonding clus- ters formed in hydrogen bonding system of AaDd type,the analytical expressions of the free energy in pregel and p...Making use of the invariant property of the equilibrium size distribution of the hydrogen bonding clus- ters formed in hydrogen bonding system of AaDd type,the analytical expressions of the free energy in pregel and postgel regimes are obtained.Then the gel free energy and the scaling behavior of the number of hydrogen bonds in gel phase near the critical point are investigated to give the corre- sponding scaling exponents and scaling law.Meanwhile,some properties of intermolecular and in- tramolecular hydrogen bonds in the system,sol and gel phases are discussed.As a result,the explicit relationship between the number of intramolecular hydrogen bonds and hydrogen bonding degree is obtained.展开更多
The number of the hyperbranched polymers in the system is investigated for the polymerization process to give the asymptotic form of the concentration of the n-mer. The polydispersity exponent is calculated, which coi...The number of the hyperbranched polymers in the system is investigated for the polymerization process to give the asymptotic form of the concentration of the n-mer. The polydispersity exponent is calculated, which coincides with that of the classical result. Finally, the asymptotic forms of the number, the weight and the z-average degrees of the polymerization were evaluated analytically to obtain polydispersity index, which is close to 1 as the reaction is quantitatively completed.展开更多
基金the National Natural Science Foundation of China(Grant Nos.20303006 and 20574016)the Natural Science Foundation of Hebei Province(GrantNos.B2006000959 and B2004000093)the Natural Science Foundation of Edu-cation Committee of Hebei Province(Grant No.2003101)
文摘Making use of the invariant property of the equilibrium size distribution of the hydrogen bonding clus- ters formed in hydrogen bonding system of AaDd type,the analytical expressions of the free energy in pregel and postgel regimes are obtained.Then the gel free energy and the scaling behavior of the number of hydrogen bonds in gel phase near the critical point are investigated to give the corre- sponding scaling exponents and scaling law.Meanwhile,some properties of intermolecular and in- tramolecular hydrogen bonds in the system,sol and gel phases are discussed.As a result,the explicit relationship between the number of intramolecular hydrogen bonds and hydrogen bonding degree is obtained.
基金This work was supported by the National Natural Science Foundation of China(Grant Nos.20574016 and 20303006)the Natural Science Foundation of Hebei Province(Grant Nos.201072 and B2004000093).
文摘The number of the hyperbranched polymers in the system is investigated for the polymerization process to give the asymptotic form of the concentration of the n-mer. The polydispersity exponent is calculated, which coincides with that of the classical result. Finally, the asymptotic forms of the number, the weight and the z-average degrees of the polymerization were evaluated analytically to obtain polydispersity index, which is close to 1 as the reaction is quantitatively completed.
