The application of a Geiger counter spectrometer to the quantitative study of the scattering from amorphous and crystalline polymers has been investigated, and this technique has been shown to be very well suited to this purpose. The experimental technique used is described.The following polymers have been studied, in order to gain some insight into the structure and order characterizing the amorphous and crystalline regions : hexadecane, polyisobutylene, natural rubber, polystyrene (oriented and unoriented), polymethyl methacrylate, polytrifluorochloroethylene, octacosane, polyethylene, polytetrafluoroethylene, and various natural keratins. The scattering patterns are analyzed for their structural implications. * This article is based upon a thesis submitted by Samuel Krimm in partial fulfillment of the requirements for the degree of Doctor of Philosophy at