The clearest and most practicable ideas how to reduce the complicated problem of mechanics and statistical mechanics of a reaction complex were developed by Henry Eyring [I, 21. His theory of absolute reaction rates, the theoretical basis of untold numbers of experimental investigations, was an ingenious way of calculating approximate ensemble averages of reactive fluxes. The Eyring approach to reactive processes, as it developed from Pelzer and Wigner's phase space arguments [3] for the 3-atom case, may be characterized by the following 3 points.( I ) Neglect of Coriolis forces (for practical purposes also centrifugal forces, though these could be handled within the framework of Eyring's theory).(2) Invoking equilibrium assumptions for various degrees of freedom, e.g. the vibrations perpendicular to the reaction path.( 3 ) Simplifying the mechanical trajectories which represent reactive processes, resp. the scattering events of ingoing reactant waves, e.g. by postulating that all trajectories can cross a certain surface perpendicular to the reaction path just once or assuming that adiabatic waves (adiabatic in the sense of a Born-Oppenheimer type separation between motion along and perpendicular to the reaction path) are not scattered (See Bibliography [4]).Criticism of the activated complex model comes from the side of theory, rather than experiment. Even though it is difficult to detect rate processes which do not fit into the framework of this simple model under the disguise of thermal averages, as prevalent in most experiments, one should like to understand the implications of assumptions ( I ) to (3) on the basis of a more elaborate and functional model.There it turns out that removing Eyring's simplifications requires a great deal more of formal apparatus than one anticipated.A crude quantum mechanical derivation of transition state formulas, based on the adiabatic hypothesis stated under ( 3 ) , was given in Eyring, Walter and Kimball's book [4]. This led the way to more sophisticated theories of adiabatic reaction processes [5-8], all of which converged in rate expressions similar to Eyring's. Ross and Mazur [9], as well as Pyun and Ross [lo], wrote the reactive flux in terms of reactive cross sections showing that the rate of a bimolecular reaction can be obtained as an Eyring term plus nonadiabatic and non-equilibrium corrections. A similar result can be derived from Yamamoto's paper [l 11. An 33