The molecular structure of macromolecules determines to a very large extent the macroscopic properties of the polymers they make up, and delimits what variations in properties can potentially be effected by processing. It is, therefore, important to understand and to be able to reliably predict the relevant properties of polymers and the limits of these properties upon treatment from the knowledge of the molecular structure of the constituent chains. For many properties of amorphous polymeric glasses correlations have been introduced in the last decades; some of them have been very useful [1–3], but they lack basic understanding of the processes and mechanisms operative in the generation of the properties in question. Their application is, by definition, limited to interpolation in that part of “chemical structure space” used as basis for the correlation. Prediction implies the power of extrapolation and, consequently, some use of first-principle methods. Remarkably little such work [1, 4–6] has been done to date on amorphous polymeric glasses. We have recently begun to investigate the atomistic-level modeling of structure and properties of amorphous, “fully relaxed” polymeric glasses [7–9].