Analysis of the dependence

Analysis of the dependence of absorption and reflection coefficients on the frequency shows that the emission spectra of thick layers of melts are similar to their molecular scattering and are actually quite close to their absorption spectra. This analysis enables the assessment of the emission spectra of similar compounds with no need for any additional calculations [294,344]. 

Kinetic methods based on the analysis of the dependencies between the polymerization rate and polymerization degree and the time and reaction parameters. 

The solvent in a bulk copolymerization comprises the monomers. The nature of the solvent will necessarily change with conversion from monomers to a mixture of monomers and polymers, and, in most cases, the ratio of monomers in the feed will also vary with conversion. For S-AN copolymerization, since the reactivity ratios are different in toluene and in acetonitrile, we should anticipate that the reactivity ratios are different in bulk copolymerizations when the monomer mix is either mostly AN or mostly S. This calls into question the usual method of measuring reactivity ratios by examining the copolymer composition for various monomer feed compositions at very low monomer conversion. We can note that reactivity ratios can be estimated for a single monomer feed composition by analyzing the monomer sequence distribution. Analysis of the dependence of reactivity ratios determined in this manner of monomer feed ratio should therefore provide evidence for solvent effects. These considerations should not be ignored in solution polymerization either. 

The hypothesis on the earlier transition from laminar to turbulent flow in micro-tubes is based on analysis of the dependence of pressure gradient on Reynolds number. As shown by the experimental data by Mala and Li (1999), this dependence may be approximated by three power functions AP Re (Re < 600),... 

Further development of the basic model and the detailed analysis of the dependence of the symmetry factor on the potential and the temperature54 have shown that there are additional factors which can affect the elementary act of this reaction. These investigations led to the formulation of the charge variation model (CVM)55 which will be discussed in the next section. 

Analysis of the dependence of the behaviour of alloy systems on the properties of the component elements. In an examination of the binary structure types containing more than five representatives, Villars and Girgis (1982) observed that 85% exhibited the following regularities ... 

Nonlinear regression analysis of the dependence of c2(r) upon (r), a transform of the radial distance i leads to evaluation of the reference thermodynamic activity, Mzzz(rf), and the osmotic second virial coefficient, Au/Mi, expressed on a weight basis (litre/g) rather than a molar basis (litre/mol). Furthermore, the values of Miy v/ and ps can be obtained by curve-fitting the sedimentation equilibrium distribution for low biopolymer concentrations (M fr) cf for all r) to the equations (5.36) and (5.37) in order to deduce the quantity [Mj( 1 - v/ps)] from the coefficient of the exponent (Winzor et al., 2001 Deszczynski et al., 2006). 

Theoretical and experimental analysis of the dependence of optical anisotropy on the side chain length, performed by Tsvetkov et al.177) permitted to establish the... 

The general analysis of the dependences D(6) without lateral interactions on the inhomogeneous surfaces has been performed [259]. As 6 grows, the random walk of the adspecies in the external field on a lattice with the chaotic sites distribution first causes their increasing and then (on further 6 growth) decreasing active displacement. If the external field is absent or the number of traps is small, this effect is not observed. The dependence D(6) has been computed for different fractions of the casually blocked regions and the variously distributed traps [259]. 

Analysis of the dependence of the structural thermodynamics of globular proteins on apolar surface area provides an estimation of the role of various contributions to protein stability. However, as mentioned above, proteins also show convergence temperatures that can yield similar information, given certain assumptions. 

Figure 10.8 The density of network junctions as a function of the volume fraction of paraffinic oil in EPDM/oil vulcanisates [74], The solid line represents the result of a linear regression analysis of the dependence (intercept = 453 5 mmol/kg slope = -6.2 0.0.3 mmol/kg the correlation coefficient = 0.996). Maximum torque in the rheometer curve for the vulcanisates is shown on the right ordinate...

The further analysis of the dependence of a on p0l for BaTi03 is mainly based on work by Smyth [4]. It is assumed that the conductive behaviour is controlled by the equilibrium between po2, Vq, n, p and cation vacancies, most probably Vj" rather than V i. All the vacancies are assumed to be fully ionized at high temperatures. Under these assumptions, a schematic diagram of the dependence of [Vo], [V t"], n and p on p0l at constant T can be deduced (Fig. 2.13(a)). The various p0l regions are now considered separately for the 1000 °C isotherm of acceptor-doped (ie nominally pure) BaTi03. 

Analogous uncertainties apply to the analysis of the dependence of rate constant on pressure. Golinkin et al. (1966) discuss the various equations used to describe this dependence in the context of the hydrolysis of benzyl chloride in aqueous mixtures. 

Although kinetic data must be precise before these quantities can be realistically calculated, agreement between, for example, the two separately calculated sides of (6) provides reassurance concerning the analysis of the dependence of k on p and on T. Laidler (1956) discussed application of Maxwell s equations to a range of reaction types in water while Dickson and Hyne (1971) examined, from this... 

To illustrate, solution of problems of this kind in the percolation theory, Quemada [71] cites the analysis of the dependence of electrical conductivity on concentration for a mixture of conducting and nonconducting spherical particles carried out by Fitzpatrick [80] or Clerk [81]. According to Clerk, this dependence is described by an equation similar to Eq. (66) or other similar formulas ... 

Analysis of the dependence of viscosity on the concentration of disperse systems and on the free volume of condensed liquid systems shows that there is a considerable similarity between the concepts based on the description of the properties of these systems. This is evidently explained by the similarity of geometric models describing the behavior of these systems based on the description of the... 

The presence of N-N02 fragment in 1-nitropyrazole significantly facilitates the process of electrochemical reduction E m=-0.95, It" xn=-. 73 V (acetonitrile). The first wave corresponds to a one-electron irreversible transfer the second wave is approximately 3.5 times higher and shows sharp drop prior to background discharge (Scheme 3.36). Analysis of the dependence of 1-nitropyrazole reduction potentials on pH shows that the second wave corresponds to the reduction of the N02 anion (nitrite ion) formed [851],... 

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