After a brief discussion on our earlier electron microscopyrresults of amorphous polymers and the results obtained by others in recent years from small angle neutron scattering and optical anisotropy measurements, it is concluded that there appears to be general agreement concerning the presence of local order and the overall statistical behaviour of macromolecules. The remainder of the discussion is on the most recent DRDR studies of a wide variety of amorphous polymers including monocrystallizable aPS, crystallizable PET and its liquid crystalline copolymer 40 PET/60 PHB, PC, NR melt, PE melt and amorphotized PE. It is shown that DRDFs, when analyzed properly and in detail, e.g. by means of application of the paracrystalline lattice theory, can provide information about (1) the origin of the DRDF peaks, (2) the extent of local order, and (3) the effects of additional ordering by annealing, chain stiffening and intermolecular crosslinking.