Polymer Physics

2.6.1 Chemical Irregularities This kind of sequence defect occurs in the statistical copolymers, where the species of monomers c ...

to-head and head-to-tail connections, which are calledthe sequence isomerism. The small amount of head-to-head connections can b ...

sequences include isotactic polystyrene (iPS), isotactic polypropylene (iPP), iso- tactic poly(methyl methacrylate) (iPMMA), and ...

Chapter 3 Conformation Statistics and Entropic Elasticity 3.1 Gaussian Distribution of End-to-End Distances of Polymer Coils If ...

Wðx;y;zÞ¼WðxÞWðyÞWðzÞ¼ð b^2 p Þ^32 =eb (^2) ðx (^2) þy (^2) þz (^2) Þ (3.3) As illustrated in Fig.3.2, the radial distribution ...

The mean end-to-end distance is thus ¼ ð^1 0 RWðRÞdR¼ 2 ffiffiffi p p b (3.8) Similarly, one can derive the mean-square end-to-e ...

dU¼dQþdW (3.11) When the total volume is kept constant,dV¼0, we have dW¼PdVþfdl¼fdl (3.12) According to the second law of th ...

3.2.3 Entropic Elasticity of a Deformed Polymer Coil From the viewpoint of chemistry, rubbers are formed by the cross-linked pol ...

Each polymer coil connecting two neighboring cross-links follows the Gaussian distribution regarding its end-to-end distances; ...

If the number density of the network chains, N 0 ¼ N V ¼ N A 0 l 0 (3.26) we have s¼CN 0 kT eþ 1  1 ðeþ 1 Þ^2 " (3.27) When a s ...

as discussed in the Sperling’s book (Sperling 2006 ). Recent development about the rubber elasticity theory has been well introd ...

References Flory PJ (1944) Network structure and the elastic properties of vulcanized rubber. Chem Rev 35:51–75 Flory PJ (1961) ...

Chapter 4 Scaling Analysis of Real-Chain Conformations 4.1 What Is the Scaling Analysis? We have discussed the ideal-chain model ...

The exponent of two originates from the dimensionality of the geometries, which has been defined as log 10 (S)/log 10 (L). Such ...

One may imagine that, when the concentration of the polymers is extremely low, polymer coils disperse in an ocean of solvent mol ...

still maintain reasonable mechanical properties. If the polymer chains are slightly cross-linked, they will only swell without d ...

whereI 1 andI 2 are the ionization energies,Ris the distance,a 1 anda 2 are the polarizabilities. Normally,I 1 andI 2 are close ...

as thecohesive energy density(CED), with the unit of cal/cm^3 or J/cm^3. Further- more, Hildebrand defined thesolubility paramet ...

SinceB 12 ,B 11 andB 22 are all negative values for nonpolar molecules, according to (4.7),B>0 implies that the absolute ener ...

challenge due to a path memory to avoid any self-intersection. Performing com- puter simulations on powerful facilities, scienti ...