This work describes the application of a model of the electroluminescent process to the photon emission and power consumption of insulated electroluminescent phosphors as a function of voltage and frequency. The model represents an extension of one described earlier. The model leads to a convenient summary of such data and an increased understanding of their significance. An upper limit to the efficiency of impact electroluminescence in insulated particles is proposed on the basis of the implications of the model.One of the difficulties encountered in correlating data for electroluminescence in ZnS phosphors is that there does not exist an adequate model of the process. The lack of such a model makes impossible a convenient summary of the variation of brightness and power dissipation with voltage, frequency, and temperature. Comparisons of the properties of the electroluminescence of different phosphors are difficult to describe in meaningful terms and even more difficult to relate to differences in the fundamental properties of the phosphors. The purpose of this work is to present as complete an approach to an adequate model based on the collision excitation mechanism as is possible at present.This model, to be described in the following section, is consistent with the relevant experimental data reported in the literature (1-6) although not in entire agreement with their interpretation [cf. (2, 3)]. The major premise is that of delayed recombination, which, despite alternative suggestions (7) remains unambiguously demonstrated (1, 2, 6). Further, the model is a straightforward extension of work by the present writer (1) with some changes suggested by consideration of efficiency. It is similar in concept but more detailed and more accurate than one described by Lehmann (5). Finally, the model yields a phenomenological approach toward estimating maximum efficiencies that can be achieved with electroluminescence produced by impact ionization. The primary consideration is the relation between the way in which light emission and power consumption increase with voltage in insulated particles.
A Model of the Electroluminescence ProcessThe principal features of this model have been described previously (1); the same notation will be retained. The electrons participating in the electroluminescence process in a given particle are divided into two populations: no "mobile" electrons, which emerge from and return to a "high-field region" in each voltage cycle and N~ "trapped" electrons in the particle bulk which do not succeed in returning to 1Present address: Research Laboratory, International Business Machines Corp., Poughkeepsie, N. Y. this region. The origin of the high-field region in which carrier acceleration and impact ionization occur is discussed in a following section. It is assumed that all of the participating electrons have been ionized from the lattice and that the resultant holes are localized in the high-field region at N § recombination centers, so that
ne + N~ = N § [i]Of the ne mobile electrons a fraction...