Multidimensional DECODER NMR experiments are applied to several industrial samples of poly(ethy1ene terephthalate) (PET) thin films and fibers, exploiting natural-abundance 13C resonances from different carbon sites to quantify orientational order in these materials. In two-dimensional (2D) DECODER NMR, the sample is flipped through a discrete angle during the mixing time of a 2D exchange NMR experiment. This allows frequencies at two spatial orientations to be correlated to elucidate molecular order in the sample. The theoretical background needed to analyze the corresponding 2D pattern in terms of angular distributions is outlined, and reconstruction of relevant one-dimensional slices through the orientation distribution is demonstrated. In PET fibers, direct reconstruction produces an orientation distribution that is at least bimodal; 60% of the chains are highly oriented, with a full-width-at-half-maximum (fwhm) of 20". The angle between the phenylene para axis and the fiber axis is determined to be 18 * 4". For biaxially drawn films, the direct reconstruction of slices through the orientation distribution shows that in a highly oriented fraction (ca. 80%) of the sample, the chain axes are confined to the film plane (fwhm of 15"), while the in-plane distribution of chain axes is much broader (fwhm of ca. SO"); the phenylene rings and carboxyl group planes are oriented preferentially parallel to the plane of the film (fwhm of 55"). Film samples collected at different points across an industrial sheet of PET are shown to exhibit sizable variations in ordering. For the center of the sheet, a slight preferential orientation along the transverse direction is clearly detected. Increased alignment of the PET chains (fwhm of 557, with the preferred orientation rotated toward the machine direction, is observed near the sheet edge. In uniaxial films, the fwhm of the orientation distribution is measured to be 85". A 3D DECODER experiment is implemented to separate frequency patterns that overlap in two dimensions.