Specific relation between

In the profiling technique, the dependence of D on C may be obtained using either the Boltzmann method, or fitting the concentration profile with numerically calculated profile by assuming a specific relation between D and C, similar to the diffusion-couple method. For the Boltzmann method, the equation can be found by following steps in Section 3.2.B.2 and is as follows (Equation 3-58e) ... 

And the free energy of the critical cluster is still Equation 4-4. If the cluster is not spherical (e.g., the cluster could be a cube, or some specific crystalline shape), then the specific relations between i and cluster volume and surface area are necessary to derive the critical cluster size. 

Calcs rate of flame propagation for a specific relation between diffusion and heat conductance) 2) Ya.B. Zel dovich, Natl-AdvisoryComm Aeronaut, Tech Mem No 1282,... 

This points to two separate factors in the specificity of the activating mechanism. The structure of the active patch must first be one which will adsorb the particular substance to be activated, and second, it must activate the substance, once adsorbed. Emil Fischer s comparison of the action of an enzyme on its substrate, to the highly specific relation between a lock and key, now seems capable of being analysed further the key must not only be capable of entering the keyhole (adsorption), but it must be capable, once inserted, of operating the mechanism inside (activation). 

Last but not least come the environmental feedbacks that link atmospheric chemistry, the biosphere and climate change. Isoprene is a major biogenic trace component of the atmosphere. It was more than 40 years ago when Went (1960) discussed a specific relation between plant emissions and a blue haze observed above the countryside vegetation on sunny... 

Adsorption involves specific relations between the properties of the individual carbon and those of the solute consequently, the quantitative effects of temperature are not the same with all carbons. Adsorbable Solutes... 

As mentioned above, there is a specific relation between the mechanism of a polyreaction and the resulting molecular weight distribution of the formed polymer. In order to apply this measuring instrument, a sequence of oligomer distributions was produced in dependence on the reaction time, ratio Al/Ti (i.e., the concentration of active species), chain length of the starting Ti-component, monomer concentration, and temperature (see Figs. 12 and 13). 

The merit of Hammett s approach was that he did attempt to discriminate among the various components of what we call growth in evaluating the role of SH. In contemporary terms, however, a specific relation between SH and increase in cell number is not very specific. 

The definition of the system also specifies a list of the independent reactions taken into account, including inter-phase reactions. It is not necessary for those reactions to actually take place, because we are dealing here with equilibrium calculations. Yet it must be borne in mind that such equilibria impose specific relations between the molar Gibbs energies of their components. Certain automated computation methods, which are specialized for certain t5q3es of systems, reveal only those equilibria. 

The parameter R3 Is applied for adaption to specific relations between structural weight and possible costs of repair In special design situations. The number of predefined damage states Is Introduced In eq.(6) by the parameter N. For the presently used damage model defines the maximum number of plastic hinges. The actual type of damage state Is Indicated by 1 which Is at maximum N -l for the selected damage model. 

There is no specific relation between the crystal growth rate and the level of supersaturation. 

Lattice symmetry dictates that there are at most four independent eigenvalues of the kinetic modes (see Table 1) jia (modes 10-12), yn, (modes 13-15), 74, (mode 16), and 74, (modes 17-18). In a number of implementations of the MRT model [99,100,106,115] the kinetic eigenvalues are set to zero, so that these modes are projected out by the collision operator, although they reoccur at the next time step. Recently, it has been shown that the kinetic eigenvalues can be tuned to improve the accuracy of the boundary conditions at solid surfaces [113]. A useful simplification is to use only two independent relaxation rates, with y, = Js = yia = y b = Je and yia = yib = 7o-The optimal boundary conditions are obtained with specific relations between ye and 7, [113,114]. 

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