In determining the kinetics of thermally stimulated solid-state transformations by non-isothermal techniques, there is, as yet, one unsurmountable barrier to establishing separate values of E, A, and f(alpha). By employing logarithmic plots of various expressions; reaction rate at one heating rate, beta, i.e. Arrhenius analysis, isoconversional reaction rates at several heating rates, i.e. Friedman analysis, one easily obtains the value of E, from the plot slope. However,the plot intercept is the logarithm of the product of A and f(alpha), and over the entire extent of a singular reaction should mirror the behavior of the f(alpha) parameter defining the mechanism. In examining experimental non-isothermal data, either DSC or TG, obtained by either procedure, this behavioral pattern should assist in identifying the probable reaction mechanism. Rate and extent of reaction data for singular model systems, generated over a wide range of E-in, A(in), and beta for seven f(alpha) mechanisms, have been employed as vehicles for isoconversional Friedman analysis in an attempt to verify the several model-dependent paradigms in the E-F-ln(A(F))-f(alpha) relationships over the 0.01 less than or equal to alpha less than or equal to 0.99 range. Isoconversational data resulting from analyses of simulated single solid-state reactions have also been employed to test the utility of proposed 'Kissinger-type' relationships for so-called 'model-free' kinetics. The isoconversional procedure has also been employed to investigate the behavioral patterns observed in the analyses of the three steps in a thermogravimetric study of the degradation of calcium oxalate monohydrate.