The present review discusses some current issues related to the principles and analytical aspects of electrochemical studies (typically done at room temperature) of solid, rigid or semirigid (nonfluid) systems in the absence of a liquid solution phase. Representative examples include redox and conducting organic polymers, melts and solid solutions of redox centers in solid ionic conductors, mixed-valence polynuclear inorganic materials, transition metal salts, oxides, and zeolites. The emphasis is on the elements of dynamics for the efficient delivery of charge and on reactivity of the 'redox conducting' materials. The effective (apparent) diffusional mechanism is critical to the success of most analytical measurements in solidstate. Also described are typical electrochemical cells and experimental tactics to overcome the relatively slow dynamics of transport in solid (nonfluid) systems. Application of microdimensional electrodes leads to an improvement in the quality of solid-state electrochemical data and provides new diagnostic and analytical possibilities. Results of mechanistic studies, which are relevant to the development of novel analytical methods, together with trends towards possible future applications also are discussed.