Polymer chain structure conformation

The transition state was shown to have a four-centered nonplanar structure and the product showed a strong jS-agostic interaction.59 Molecular-mechanics (MM) calculations based on the structure of the transition state indicated that the regioselectivity is in good agreement with the steric energy of the transition state rather than the stability of the 7r-complex. The MM study also indicated that the substituents on the Cp rings determine the conformation of the polymer chain end, and the fixed polymer chain end conformation in turn determines the stereochemistry of olefin insertion at the transition state.59... 

When dendritic fragments are attached to polymer chains, the conformation of the polymer chain is strongly affected by the size and chemical structure of the dendritic wedges attached. Dense attachment of dendritic side chain converts a linear polymer into a cylindrically shaped, rigid and nanoscopic dimension. Frechet and Flawker [70] were one of the first to recognize these hybrid architectures . 

Yet even more evidently heterogeneity of the structure of polymer chain s conformational volume becomes apparent at flie analysis of volume density p, that is, the numbers of links in the unit of conformational volume for the given chain section. Let us be limited to considering only the first chain section n in lengtii, for which... 

B-2) Distribution of a polymer chain structures with regard to intra-chain conformation and inter-chain distances... 

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. 

Neutron scattering is used to study the structure of polymers including polymer chain dimensions, conformations, miscibility of blends structures of block copolymers, semicrystalline polymers and biomacromolecules. The unique property of neutrality makes a neutron an excellent probing tool for... 

Chain conformation and configuration Conformation and configuration are used to describe the geometric structure of a polymer chain, with conformation referring to order that arises from the rotation of molecules around the single bonds, while configuration concerns the order that is determined by the various chemical bonds in a polymer chain. 

Representation of the polymer chain in an extended zigzag conformation as shown m Figure 7 16 reveals several distinct structural possibilities differing with respect to the relative configurations of the carbons that bear the methyl groups... 

As a consequence of these various possible conformations, the polymer chains exist as coils with spherical symmetry. Our eventual goal is to describe these three-dimensional structures, although some preliminary considerations must be taken up first. Accordingly, we begin by discussing a statistical exercise called a one-dimensional random walk. 

The struetural element of a eoumarone-indene resin is relatively similar to that for aromatie hydroearbon resins, as they differ only in the proportion of indene-type struetures which are present in higher eoneentration in the eoumarone-indene resins. The main monomers in the aromatie resins are styrene and indene. Styrene produces the atactic conformation of the resins, whereas indene introduees rigidity into the polymer chain. A typical structural element of an aromatie resin is given in Fig. 11. 

Finally, we want to describe two examples of those isolated polymer chains in a sea of solvent molecules. Polymer chains relax considerably faster in a low-molecular-weight solvent than in melts or glasses. Yet it is still almost impossible to study the conformational relaxation of a polymer chain in solvent using atomistic simulations. However, in many cases it is not the polymer dynamics that is of interest but the structure and dynamics of the solvent around the chain. Often, the first and maybe second solvation shells dominate the solvation. Two recent examples of aqueous and non-aqueous polymer solutions should illustrate this poly(ethylene oxide) (PEO) [31]... 

In principle, polymers equivalent to those obtained from vinyl and divinyl monomers may be synthesized by this method. The product in the above example possesses the same chain structure as polyethylene. The polymerization process, notwithstanding the likelihood of a metal alkyl intermediate, should conform satisfactorily to stepwise condensation. However, the product, and those obtained by Friedel-Crafts condensation as well, lack the recurrent functional groups which generally characterize condensation polymers. 

For the investigation of polymer systems under spatial confinement, fluorescence microscopy is a powerful method providing valuable information with high sensitivity. A fluorescence microscopy technique with nanometric spatial resolution and nanosecond temporal resolution has been developed, and was used to study the structure and dynamics of polymer chains under spatial confinement a polymer chain in an ultra-thin film and a chain grafted on a solid substrate. Studies on the conformation of the single polymer chain in a thin film and the local segmental motion of the graft polymer chain are described herein. 

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