Kinetic equation, general

Polymerization of lactams in reactive processing proceeds with the involvement of a catalyst and direct or indirect activators. A mathematical model of the process must be a kinetic equation relating the rate of conversion of a monomer to a polymer to the reagent concentrations and temperature. The general form of the model is [Pg.24]

The second limitation imposed on the function f(P) means that the reaction rate decreases to zero at completion, when all reactive groups (at p = 1) are exhausted. Since the structure of the kinetic function f(p) depends on the type of monomer, it is reasonable to discuss the kinetics of polymerization of the main lactams separately. [Pg.24]

T. Burkhardt, H. Muller-Krumbhaar, D. Kroll. A generalized kinetic equation of crystal growth. J Cryst Growth 5S 13, 1973. [Pg.918]

In the present section the general kinetic equation (3.26) will be solved within the Keilson-Storer model for an arbitrary angular momentum correlation [163], We consider here the case of spherical molecules (for linear molecules see Appendix 5). The corresponding initial condition is the equilibrium distribution... [Pg.118]

Keilson-Storer kernel 17-19 Fourier transform 18 Gaussian distribution 18 impact theory 102. /-diffusion model 199 non-adiabatic relaxation 19-23 parameter T 22, 48 Q-branch band shape 116-22 Keilson-Storer model definition of kernel 201 general kinetic equation 118 one-dimensional 15 weak collision limit 108 kinetic equations 128 appendix 273-4 Markovian simplification 96 Kubo, spectral narrowing 152... [Pg.297]

It is natural that a general kinetic equation for every case is different ... [Pg.197]

The first part of the equation is the general kinetic equation, from which it is... [Pg.392]

When the laws of the partial reactions are preserved throughout the entire range of potentials (Butler, 1924), a general kinetic equation that is valid for both the anodic and cathodic currents can be written... [Pg.85]

P is a partition coefficient for radicals between two parts of the system - template and surrounding medium. The kinetic scheme of template polymerization is more complicated than that for simple radical polymerization. For many systems (monomer-template-solvent) general kinetic equation was applied ... [Pg.94]

It can be seen from Table II that unless experimental conditions are carefully chosen, the contribution from emission to the over-all decay of X(np5 2Py2) can usually be neglected as more rapid kinetic processes result in the removal of the excited atoms. Further, as the mean radiative lifetime is long, it is possible to detect these atoms by absorption spectroscopy. (See Section VII.B, general kinetic equation for the removal of 2Pyt atoms.)... [Pg.6]

Let us write down the general kinetic equation obtained for the steady-state rate of the step in the form... [Pg.205]

The adsorption kinetics was examined according to the change of adsorption density in the time for the equilibrium concentration < CMC. The validity of the proposed adsorption mechanism was verified by using the general kinetic equation ... [Pg.124]

Therefore, using the general kinetic Equation 6-126 gives... [Pg.531]

Summation of the right-hand parts of equations (1.7) and (1.23) yields the general kinetic equation describing the rate of growth of the ApBq layer between initial substances A and B due to the simultaneous occurrence of partial chemical reactions (1.1) and (1.2) ... [Pg.25]

Summation of the right-hand parts of equations (4.12) and (4.14) yields a general kinetic equation describing the growth rate of the ArBs layer between the ApBq and B phases in the case where both components are diffusing in its bulk... [Pg.187]

Therefore, the generalized kinetic equations for exchange (transport) processes and chemical reactions are of similar structure. [Pg.395]

Beginning with the general kinetic equation, Eq. (116), integration over the label range yields... [Pg.43]

The rate of rehydration of the hemihydrate [84] in liquid water passes through a maximum, the position of which depends on the rate of reactant dissolution and of product precipitation. A general kinetic equation was derived which also described previously published data. [Pg.234]

Establishment of the General Kinetic Equation under Continuous Irradiation... [Pg.175]

Almost simultaneously, Erdey-Gruz and Volmer and Butler wrote a generalized kinetic equation for a one-electron transfer process corresponding to the form of Eq. (2), namely... [Pg.108]

The conversion takes place by a chain free radical mechanism which obeys the following general kinetic equation ... [Pg.114]

By replacing the value of the complex alcohol - alcoholate (4.8) in the general kinetic equation (4.7), one obtains ... [Pg.82]

The general kinetic equation of the uncatalysed polyesterification is a third-order kinetic equation ... [Pg.271]

The general kinetic equations will now be developed, and solutions given for the most simple cases. They include all types of initiation and termination cited above for short [(1/7°) jc0 ] and long [(I/70) > jc0] zip length in the case of either uniform or random molecular weight distribution. Only the kinetic scheme and final equations will be given. For the complete mathematical development the reader is referred to the work of Boyd [19] and the other references cited. Similar kinetic equations have been suggested by Jellinek [20] and by Reich and Stivala [21]. [Pg.12]

An adequate treatment of liquid transport on the basis of the general kinetic equation and of (3) seems, however, to be suggested by Rahman s computer experiments, which have shown that in a liquid the momentum... [Pg.476]

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