Coincident indices

Figure 2 shows the predicted, normalized cumulative mass losses based on the behaviors of silicon and sodium for three different values of the leachant renewal frequency. The physical parameters used refer to the leaching of PNL 76 68 borosilicate glass in deionized water at 90°C, (4) and reference is made to the geometric surface area, SA, of the sample. In particular, the curves corresponding to silicon and sodium tend to have the same, constant slope with increasing flow rate. In particular, the curves corresponding to = 1 day 1 practically coincide, indicative of network dissolution control. 

More recently cyclic acetal-styrene systems were reinvestigated by the GPC technique 154,155). Using double detection (UV and RI), Yamashita et al. showed that products of copolymerization of styrene with tri- and tetraethylene glycol formals have a unimodal molecular weight distribution, and that the maxima of both RI and UV traces coincide indicating that the products are true copolymers. 

By factoring out solute volatility, the enhancement factor allows comparison of solvent and secondary solute effects. Empirically, there is a linear relationship between the log of the enhancement factor and solvent density. For nonpolar and polar solutes in supercritical carbon dioxide, plots of enhancement factor coincide, indicating that differences in solubility are primarily due to vapor-pressure differences. Nonlinear behavior is noted in the case of high solubilities. The enhancement m pure fluids is relatively independent of solute structure but is sensitive to solvent polarity and density. 

Define Cl = (w -w)/(w-l) as the coincidence indicator. When Cl equals to 0, pairwise comparison matrix A is completely consistent. When CR = CI/RI <0.1, the inconsistency can be accepted and it will not affect the sorted qualitative results. The value of RI is shown in the following table. 

A typical pattern of change in the time-dependent SSA-normalized distribution coefficient, K (t), as a function of t is shown in Figure 11 for a-Al203, silica gel-40 and -100. It is clear from this Figure that sorption is completed within a few minutes, regardless of that facts that i) the two gel samples have enormous internal surface areas and ii) the particles of these solids have diameters of 63-150 pm. Complete reversible sorption is shown in Figure 12 for silica gel-40, in which both sorption and desorption isotherms coincide, indicating no hysteresis. 

In an investigation of the influence of air humidity on adhesion, hysteresis phenomena have been observed [143]. In Fig. IV.IO we show the force of adhesion of spherical glass particles 50 2 /im in diameter as a function of the relative humidity of the air. The lower branch of the hysteresis loop shows the way in which adhesion increases as the air relative humidity is increased the lower branch shows the way in which adhesion drops off as the air humidity is reduced. The failure of the two branches of the adhesion-humidity curve to coincide indicates that the processes of capillary condensation and evaporation of mois-... 

For the three different viscosities investigated (0.8, 5.6, and 15.0 Pas), the curves of the two highest viscosities almost coincided, indicating a similarity in flow profiles. The curve of the lowest viscosity deviated considerably. This can be explained by the different behavior of this material, due to gravity, as explained in Section VII of Chapter 2. Low viscosities lead to shorter mean residence times, smaller reduced variances and an increased influence of changes in rotational speed. 

Figure 1.2 shows the experimental and theoretical EPR spectra of spin probes in dry and water-saturated of both isotropic and textured morphology. A comparison shows that the theoretieal spectra of both Tempo and Tempol spin probes qualitatively deseribe the main features observed in the corresponding experimental speetra. This coincidence indicates that the spectra actually represent a superposition of the EPR signals from radi-eal molecules with different rotation correlation times. 

III.14). The failure of the adhesive force/humidity curves to coincide indicates that the processes of the capillary condensation and evaporation of moisture in the gap between the contiguous surfaces possess certain peculiarities characteristic of thin layers of liquid. 

As shown by Coltrain et al. [57], the reduction in gel time resulting from acetic acid (HOAc) catalyst compared to HCI, HNOj, or H2SO4 is not due to a catalytic effect of the acetate ion but to a reduction in the acidity of HOAc when in alcohol. Figures 10a and b compare gel times versus pH of the water solution used for hydrolysis and pH of the reacting sol (pH ). When compared on the basis of pH, the curves coincide, indicating no catalytic effect of the counterions. 

Figure 14.6 shows the Tc suppression for ferromagnetic Ni, Co, and Fe304 nanosolids. For ultrathin films, the measured data are closer to the predicted curve for a spherical dot. This coincidence indicates that at the beginning of film growth, the films prefer island patterns that transform gradually into a continuous slab. For a ferroelectric system, we need to optimize the Kc value by in computation to match theoretical curves to the measured data. 

In this particular case, the first (1st) and second (2nd) ran isotherms are virtually coincident indicating that CO adsorption was entirely reversible upon evacuation of the CO equilibrium pressure. For the experimental and samples details vide infra Sect. 1.4. It is here only recalled that the 2nd ran isotherms were performed after the overnight outgassing of the reversible adsorbed phase. The isotherms experimental points were interpolated by the Langmuir model equation (vide infra). 

Values of [V/Me]s and [V/Me]v in the washed samples virtually coincide, indicating the presence of surface vanadia species and absence of the crystalline V2O5 phase. 

Curves for different inorganic cations are nearly coincident. Indicating almost complete absence of specific adsorption of the cations. More strongly adsorbable organic cations, however, depress the cathodic branch of the curye as is demonstrated by Fig. 17 The addition of non-ionic organic substances often results in a more or less symmetric truncation of the electrocapillary curve. See Fig, 18... 

Figure 21, DSC and chip-based calorimetry data coincide, indicating similar crystallization kinetics for the milligram-sized DSC and the nanogram-sized chip-based calorimetry samples. For PBT, this is not the case (see Figure 22).

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