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Specific rate function statistical limit

In order to take account of the fact that the solvent is made up of discrete molecules, one must abandon the simple hydrodynamically-based model and treat the solvent as a many-body system. The simplest theoretical approach is to focus on the encounters of a specific pair of molecules. Their interactions may be handled by calculating the radial distribution function, whose variations with time and distance describe the behaviour of a pair of molecules which are initially separated but eventually collide. Such a treatment leads (as has long been known) to the same limiting equations for the rate constant as the hydro-dynamically based treatments, including the term fco through which an activation requirement can be expressed, and the time-dependent term in (Equation (2.13)) [17]. The procedure can be developed, but the mathematics is somewhat complex. Non-equilibrium statistical thermodynamics provides an alternative approach [16]. The kinetic theory of liquids provides another model that readily permits the inclusion of a variety of interactions the mathematics is again fairly complex [37,a]. In the computer age, however, mathematical complexity is no bar to progress. Refinement of the model is considered further below (Section (2.6)). [Pg.33]


See other pages where Specific rate function statistical limit is mentioned: [Pg.297]    [Pg.144]    [Pg.674]    [Pg.775]    [Pg.589]    [Pg.224]    [Pg.351]    [Pg.23]    [Pg.19]    [Pg.1]    [Pg.139]    [Pg.104]    [Pg.136]   
See also in sourсe #XX -- [ Pg.85 , Pg.96 ]




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Functional specific

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Specific Functionalities

Specific rate

Specific rate function

Specificity function

Statistical limitations

Statistics specificity

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