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The density of chain atoms in the volume element dV centered on atom i has been obtained for short and long freely jointed (FJ) chains. The Gaussian distribution function is used for long chains, and Treloar's corrections to this distribution are imposed for short chains. For long FJ chains, the density of chain atoms is a maximum when atom i is located midway along the contour of the chain, and it...
By poly(A-B) we denote a chain with repeating sequence –A-B–, such as polyoxymethylene. Here A and B stand for a single atom, e.g., –O–, or a group of atoms, e.g., –CH 2 –. All n bond vectors are of the same length, l, as are all bond dipole moment vectors, m. The manner in which the characteristic ratio of the dipole moment, D n ≡〈μ 2 〉 0 /nm 2 approaches its...
End effects in unperturbed chains with a specified number of bonds, n, have previously been characterized using the conformations at individual bonds and the mean square unperturbed dimensions of subchains situated at various positions along the chain. Both criteria have found that the end effects are extremely weak in typical flexible chains, such as unperturbed polyethylene. Of course, these criteria...
A rotational isomeric state model has been developed for the poly(silylenemethylenes) with repeating sequence [Si(CH 3 )R-CH 2 ] x , R=-O(CH 2 ) N OC 6 H 4 C 6 H 5 . The model incorporates all first- and second-order interactions, as well as higher order interactions that are mandatory in some of the conformations. Chains with...
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