Establishing Photocatalytic Kinetic Rate Equations: Basic Principles and Parameters -- Novel Photocatalytic Reactors for Water and Air Treatment -- Photocatalysts, Radiation Sources and Auxiliary Equipment for Photocatalysis -- The Irradiation Field in Photocatalytic Reactors -- Kinetic Modeling of the Photocatalytic Reaction Network: The Parallel-Series Approximation -- The Energy Efficiency Factors in Photocatalytic Processes -- Water Decontamination of Organic Species: Modeling Reaction and Adsorption Processes -- Photocatalytic Degradation of Air Borne Pollutants -- Advances and Perspectives for Photocatalysis