Quantitative Interpretation of Data

The existence of only one type of bonds between the macromolecule and the luminescent group. The formation of comparable amounts of different bonds affecting the optical and dynamic properties of LM in different ways can make difficult or prevent a quantitative interpretation of data obtained by the PL method. 

The work of Gordano et al. [42] suggests that a number of factors might influence the adhesion of particles to membranes, including electrostatic interactions, van der Waals forces, short-range interactions, surface roughness, and membrane deforma-bility. For quantitative interpretation of data, the influence of each of the important factors must be considered. 

Which of the two models for the mode of ATP interaction with myosin do these data support Explain your answer by quantitative interpretation of the light-scattering data. 

Depth Profiling. The quantitative interpretation of AES data requires a knowledge of the distribution of the grain boundary segregants both laterally on the... 

Most early publications on bacterial polysaccharides were concerned with impure products and poorly-described organisms. Many more recent papers are of limited value also, due to low yields, lack of characterization of products and arbitrary interpretations of data. Low yields of methylated polysaccharides may be due to degradation of the bacterial polysaccharide during methylation, or to degradation of the hydrolytic products of the methylated polysaccharide (to form methyl levulinate, etc.46). The great importance of (a) complete methylation of polysaccharide products prior to structural determination by hydrolysis and (6) quantitative identification of the hydrolytic products, has been emphasized previously. Other difficulties in end group analysis have been discussed recently.7... 

Such enzymic determinations of fine structure are extremely valuable, but the experimental technique is difficult and a quantitative interpretation of the data has to be made with caution. 

The thermal decomposition of dimethyl mercury in the presence of radical scavengers has been thoroughly investigated61-65. The basic mechanism, the preexponential factor and the activation energy are all well established. There is still considerable doubt about the mechanism of the pyrolysis in the absence of chemically active additives. Consequently, the quantitative interpretation of rate data from such systems is of doubtful value. Systems using effective scavengers will be discussed first. The quantitative results from these systems will be used in assessing the data obtained in the absence of additives. 

So from electrical data, it is possible to get information on partial thermodynamic functions of the salt and then develop thermodynamic models for quantitative interpretation of the conductivity variation with composition. These models are not very different from those already developed for molten salt mixtures or metallic alloys. 

Quantitative interpretation of the charge-loss data to relate it to the level of radioactivity requires analysis of the ion motion in the quadrupole, for the... 

The large uncertainty in the quantitative interpretation of heterogeneous initiation phenomena results not only from the uncertainty of the kinetic parameters used (See section on Kinetic Data), but also from the large uncertainty of the temps of the initiation sites (hot spots)... 

L.133 Using two sets of backbone RDC data, collected in bacteriophage Pfl and bicelle media, they obtained order tensor parameters using a set of crystallographic coordinates for the structural model. This allowed the refinement of C -C bond orientations, which then provided the basis for their quantitative interpretation of C -H RDCs for 38 out of a possible 49 residues in the context of three different models. The three models were (A) a static xi rotameric state (B) gaussian fluctuations about a mean xi torsion and (C) the population of multiple rotameric states. They found that nearly 75% of xi torsions examined could be adequately accounted for by a static model. By contrast, the data for 11 residues were much better fit when jumps between rotamers were permitted (model C). The authors note that relatively small harmonic fluctuations (model B) about the mean rotameric state produces only small effects on measured RDCs. This is supported by their observation that, except for one case, the static model reproduced the data as well as the gaussian fluctuation model. 

FIG. 12.13 Net charge of egg albumin versus pH. The points were determined by electrophoresis, and the solid line by titration the broken line represents 60% of charge from titration. (Data from L. G. Longsworth, Ann. NY Acad. Sci., 41, 267 (1941). (Redrawn with permission from J. Th. G. Overbeek, Quantitative Interpretation of the Electrophoretic Velocity of Colloids. In Advances in Colloid Science, Vol. 3 (H. Mark and E. J. W. Verwey, Eds.), Wiley, New York 1950.)... 

Quantitative Interpretation of Intracrystalline Diffusional Effects. Since a qualitative effect of crystallite size upon selectivity was observed, the next step was to extract some quantitative values for the intracrystalline diffusional parameters. To do this, we must either know the intrinsic or diffusion-free kinetics or be able to make a simplifying assumption so that the diffusional parameters can be extracted from the available data. 

A more quantitative interpretation of methyl relaxation requires a knowledge of the motional anisotropy of the entire molecule. Thus the activation energy of methyl rotation can be estimated from 7] data if the rotational diffusion tensor of the molecule, mentioned in Section 3.3.3.3, is known [164]. 

Mossbauer spectroscopy can only be used to obtain rates of interconversion if the lifetimes are close to 10 7 second. As described in Section III,E a few examples satisfying this condition have been found. Some questions remain over the quantitative interpretation of the data. Nevertheless, spin-equilibrium relaxation lifetimes have been estimated from Mossbauer temperature-dependent linewidths for two salts of an iron(III) complex, [Fe(acpa)2]+. The lifetimes are of the order 10 5—10 7 second over temperature ranges from 100 to 300 K (109, 111). 

Electronegativity thus permits a quantitative interpretation of the bonding in SiO or any other compound for which appropriate data are known, The same principles allow a superior alternative to the ionic" model of non molecular solids, and offer high hope of eventually elucidating the thermochemistry of mineral substances in general. 

Above and to the right of line A, the contribution of edge diffusion will be less than 3 %. This is convenient when quantitative interpretation of the data is attempted, because the calculation of the effects of edge diffusion are somewhat more complicated than planar diffusion. Below and to the left of line B, the iR error will be less than 3 mV. Finally, it is desirable to work in the region to the left of line C where distortion of the shape of the voltammogram by the RC time constant of the cell is not significant. Figure 16.6 predicts that... 

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