Polymer Physics

the integrated total 1/N 2 !. 1/2 is the symmetric factor for the double estimation starting from either one of two chain ends. ...

This parameter has been called Flory-Huggins interaction parameter. Therefore, DUm¼kTwN 1 f 2 (8.21) With the assumption of inco ...

This equation is also called Flory-Huggins-Scott equation. If bothr 1 andr 2 are very large, the common mixing driving forces, i ...

whereWis the weight of the network chains,ris the dry polymer density, andMcis the average molecular weight of the network chain ...

wherefis the charge fraction of monomers on the polymer chain. This equation is known as Flory-Rehner-Donnan equation. With the ...

One can see that whenr¼1, this equation can be reduced to the Flory-Huggins- Scott equation for binary polymer blends. The latti ...

AssumingN 2 /V¼cNa/M, wherecis the mass concentration of polymers, then P c ¼RTð 1 M þ Nau 2 M^2 cÞ (8.41) One can see that the ...

DHm¼RT^2 lN 1 ’ 2 (8.46) DSm¼R½X 0 þðwTlÞN 1 ’ 2 Š (8.47) whereX 0 ¼N 1 ln’ 1 þN 2 ln’ 2 þðN 1 þN 2 ÞlnVV^0 þN 2 lnee 0 , and ...

thus they are not geometrically identical in the lattice space. In 1991, Dudowicz and Freed proposed a cluster of interconnected ...

gauche-conformation with energyEcraised, the partition function for each step of walks is thus defined as zc 1 þðq 2 Þexp½Ec= ...

References Bawendi MG, Freed KF (1988) Systematic corrections to Flory-Huggins theory: polymer-solvent- void systems and binary ...

Scott RL (1949) The thermodynamics of high polymer solutions. V. Phase equilibria in the ternary system: polymer 1—polymer 2—sol ...

Chapter 9 Polymer Phase Separation 9.1 Thermodynamics of Phase Separation Phase separation is a spontaneous process for polymer ...

When the phase separation occurs, the curve ofDfmversusf 2 exhibits a common tangent line at two points of A and B, as illustrat ...

wc¼ 1 2 ð 1 ffiffiffiffi r 1 p þ 1 ffiffiffiffi r 2 p Þ (^2) (9.9) For a symmetric polymer blend, two components share the same ...

called theupper critical solution temperature(UCST). Nevertheless, some polymer solutions exhibit the critical point for phase s ...

polymer motion caused by the difference in the coefficients of thermal expansion between the polymer and the solvent. This mecha ...

If the curvature of the free energy curve opens to the upside, for instance, the metastable regions between A and C points and b ...

which implies that at interfaces the two components spontaneously diffuse towards the directions of lower concentrations (downhi ...

which is called RPA equation.SD(h,r)is the Debye function that describes the structure factor of each ideal chain, as given by S ...