Application of paracrystalline lattice theory to the analysis of differential radial distribution function of amorphotized polyethylene

Structural Analysis of Molecular Materials Using the Pair Distribution Function

“…Further work, typically with low real-space resolution, largely focused on identifying short-range ordering length-scales in various disordered, synthetic polymers (e.g., milled, molten, slow-cooled, or quenched disordered states), − structure deterioration due to radiation-induced cross-linking, − and copolymerization. , Efforts to model structures based on the paracrystal theory of Rolf Hosemann were also developed, ,,, but while many of these studies yielded useful insights into processing effects on relative ordering states, many appear to have overinterpreted the medium-range ordering as a result of particular chain-packing orientations (e.g., short-range ordered parallel packing of linear segments), as shown by Mitchell, Lovell, and Windle, and confirming the earlier sentiment by Simard and Warren (see section ). Studies using higher quality experimental data have further aided in accessing more accurate pictures of conformational states in the very local structures of noncrystalline polymers and polymer melts. − These efforts have also benefitted from methods developed for fitting or comparing total scattering data in reciprocal space. − A recent review further discusses the use of scattering for characterizing noncrystalline polymers …”