Gaussian polymer blocks, ideal

Gaussian coils are characterized by a gaussian probability distribution [2] for the monomers and describe adequately flexible polymer blocks. Ideal chains follow random walk statistics, i.e.,... 

Polymer chain structures include the chemical structures (known as primary structures) and conformation structures (known as secondary structures and further assembly stmctures). We first introduce the characterizatiOTi of chemical structures of polymer chains, followed in the next chapters by the Gaussian treatment of their ideal-chain conformations and by the scaling analysis of their non-ideal-chain conformations, respectively. The conformations of self-assembled block copolymers as well as the conformations of crystalline polymers will be introduced in Chaps. 9 and 10, respectively. 

Finally, A Sconformation arises from the constraints that the blocks of the copolymer are restricted to domains. Because chains in the polymer melt behave as if they were ideal, i.e. as if there were no excluded volume effects, then it is frequently argued that Gaussian statistics should be applied to these domains of pure A and B and provided the inequality < L Nk holds good... 

Dynamic light scattering from dilute solutions provides the value of the diffusion coefficient, which can be converted to hydrodynamic radius J h,star of the star polymer. The ratio Rh/(Rg) characterizes the compactness of the macromolecule for the uniform hard sphere impenettable for the flow, it is Rb/Rg= (5/3) 1.29, whereas for the Gaussian coil, Rh/(Rg) = 3a- / /8 0.66. For ideal stars (without excluded-volume interactions), the ratio Rh/(Rg) can be derived within the Kirkwood-Riseman approximation, which gives the value of Rh/(Rg) 0.93. Reported experimental values of the Rh/(Rg) ratio for star polymers and starlike block copolymer micelles are usually found close... 

---