The Bardeen, Cooper, and Schrieffer (BcS) theory of superconductivity has provided an understanding of virtually all phenomena associated with the superconducting state. In recent years, great progress has been made in extending some aspects of this understanding to other types of ordered states, particularly in quasi-one-dimensional systems. This growth of understanding allows one to reexamine the question whether or not higher temperature superconductivity of the excitonic variety might be realized in these or other systems. We show first what the general conditions are for superconductivity in these systems, and then propose a specific type of polymeric structure, in which sufficiently strong excitonic interactions can be expected to lead to interesting behavior.In this article we will discuss some of the factors which determine the maximum temperature at which superconductivity can occur; and what progress has been made towards designing so called excitonic systems of organic or metallo-organic polymeric compounds, which should superconduct at relatively high temperatures, at or near room temperature.During the past two decades great interest has focused on the practical uses of superconductivity. First, in large-scale applications in magnets, power lines, motors, and generators and, second, in more subtle applications as magnetometers, microwave detectors, mixers, comparators, current sensors, and Josephson logic devices. All these devices require for their operation a costly low temperature environment-hence, the incentive to find superconducting materials with higher transition temperatures. The search for such materials and the problems which determine the direction one should go in the search require an understanding of many subtle features of solid state physics and chemistry.If one cools a metal, its electrical resistivity falls until one reaches a temperature of 20-30 K, where the resistivity reaches a value determined by the purity of the metal and crystalline perfection. For some metals, upon further cooling, a precipitous drop occurs in the resistivity at a well defined temperature, the transition temperature T,, which marks the transition to the superconducting state. This phenomenon is remarkably common, occurring in 26 elements at ambient pressure and another 10 at higher pressures [l]. In addition, some 10,000 alloys are known which superconduct-many of which involve or are composed of nonsuperconducting elements [2]. The transition temperatures of these alloys range from temperatures in the millikelvin range to 23.2 K for Nb3Ge. Most lie in the range 0-6 K. Substantial progress has been made during the past 25 years in pushing the maximum T, higher and higher. The questions International Journal of Quantum Chemistry: Quantum Chemistry Symposium 15,545-554 (1981) 0