The authors discuss the physicochemical basis for mechanisms of action of toxic chemicals and theoretical methods that can be used to understand the relation to the structure of these chemicals. Molecular properties that determine the chemical reactivity of the compounds are proposed as parameters in the analysis of such structure-activity relationships and as criteria for predicting potential toxicity. The theoretical approaches include quantiative methods for structural superposition of molecules and for superposition of their reactivity characteristics. Applications to polychlorinated hydrocarbons are used to illustrate both rigid superposition methods, and methods that take advantage of structural flexibility. These approaches and their results are discussed and compared with methods that afford quantitative structural comparisons without direct superposition, with special emphasis on the need for efficient automated methods suitable for rapid scans of large structural data bases. Quantum mechanical methods for the calculation of molecular properties that can serve as reactivity criteria are presented and illustrated. Special attention is given to the electrostatic properties of the molecules such as the molecular electrostatic potential, the electric fields, and the polarizability terms calculated from perturbation expansions.