Representative Experimental Results

We describe below some of the basic principles behind the physics of polymer capture. Our primary goal is to delineate different regimes for the 

---

Fig. 11. Variation of heat-transfer coefficient, where O represents experimental results at 100 kPa , 500 kPa 0, 1000 kPa and , 2000 kPa, of pressure (23) for (a) a 0.061-mm glass—CO2 system (Group A particles) and (b) a 0.475-mm glass—N2 system (Group B and D particles). To convert kPa to psi,...

Fig. 7. Isothermal cross section of the system H20-CH4-CsH8 on a water-free basis at —3° C. The points represent experimental results and the curves have been obtained from a theoretical analysis. The line AB represents the four-phase equilibrium HiHn ice G the gas G consists of almost pure methane, Hj contains only methane. Consequently, the composition of the latter two phases almost coincide in the figure, and the situation around point A has therefore been drawn separately on an enlarged scale.

It should be pointed out that Eq. (10) can correctly represent experimental results (cited papers recorded reasonable agreement between theory and experiment) only when diffusion of gas from bubble to bubble can be ignored. When the bubble is small, surface Laplace pressure PL P, and coalescence of bubbles occurs in such a way as to make the volume of the resul tant bubble greater than the sum of the original bubble volumes [27]. 

Equations (85) and (86) and the data shown in Figure 22 represent experimental results for flow in smooth straight tubes. Experimental data for complex porous systems sometimes differ slightly from the results given by Figure 22 in the region between the low pressure limit and a L 1. 

Equations 3.1-6 to -8 are all forms of the Arrhenius equation. The usefulness of this equation to represent experimental results for the dependence of kA on Tand the numerical determination of the Arrhenius parameters are explored in Chapter 4. The interpretations of A and EA are considered in Chapter 6 in connection with theories of reaction rates. 

Another form of the equation is even simpler, and is particularly useful in representing experimental results. If we take the logarithms on both sides, we obtain... 

The aim of this contribution is to use representative experimental results to exemplify a supramolecular approach to the functionalization of wide-band-gap semiconductors for the realization of photoelectrochemical and electrochromic devices. In this context, we consider it useful to present a brief overview of alternative electrochromic devices in order to give some perspective to our concept. 

The rate of oil drop aggregation/coalcscencc was measured independently from removal by the air bubbles by simply shutting off the air supply. For each experiment the steady-state inlet and outlet drop populations for each drop size were measured first with the air flowing into the cell then with no air flow. Table 3 presents representative experimental results. For each run, the net observed removal rate (Ra) and the removal rate due to drop aggregation/ coalescence (Pcp) were determined, thus enabling the calculation of the removal rate by air bubble flotation alone. The removal rate constants (K) for each oil drop size were computed for each run. 

Fig. 17.3 Molecular shapes predicted by simple VSEPR theory Bond angle values represent experimental results where known...

In the following, each of these regimes will be considered by discussing representative experimental results. We use the notation a = MAJMAc = /VAh//VAc for the ratio between molecular weights (or equivalently degrees of polymerization) of the homopolymer and the corresponding block in the copolymer. 

Its structure was characterized by small-angle X-ray scattering (SAXS) (Fig. 7a). In Fig. 7a, three SAXS profiles are presented. Two of them are calculated theoretically (lines 1,2) and the third profile (open circles) represents experimental results. Both lines 1 and 2 are obtained using the model of a kinked cylindrical helix as imaged in Fig. 7b. For fine 2, the partial aggregation of the helices is taken into account. The theoretical and experimental... 

Databases are electronic filing cabinets that serve as a convenient and efficient means of storing vast amounts of information. An important distinction exists between primary (archival) and secondary (curated) databases. The primary databases represent experimental results with some interpretation. Their record is the sequence as it was experimentally derived. The DNA, RNA, or protein sequences are the items to be computed on and worked with as the valuable components of the primary databases. The secondary databases contain the fruits of analyses of the sequences in the primary sources such as patterns, motifs, functional sites, and so on. Most biochemical and/or molecular biology databases in the public domains are flat-file databases. Each entry of a database is given a unique identifier (i.e., an entry name and/or accession number) so that it can be retrieved uniformly by the combination of the database name and the identifier. 

II 50/50 blends of MMA-BMA and SAN at 160 °C. The solid curve is calculated for a degree of polymerization of 1000 the dashed lines represent experimental results [63],... 

Fig. 8. Coke yield during MTO conversion catalyzed by SAPO-34 at pmoOh = kPa and T = 698 K. Symbols with lines represent experimental results at various values of WHSV g/(gcat h) 384 ( ), 253(x), 114( + ), 82(A), 57 (0). Solid lines OPE curves (iS).

Lately, improvements in neutron sources and (especially) in instrumentation have led to dramatic changes, and these have been reflected in more recent review articles. A description of current and future neutron instruments capable of studying macromolecules was discussed earlier in this article (end of Section 5) and described in Refs. 49 -52. In this section we will simply discuss a few representative experimental results. 

Figure 5.28. Adsorbed amount as a function of chain length on a semi-logarithmic scale. Solid curves are theoretical results [i.e., 0(JV). r.h.s. scale) obtained with SF theory, for (p = 10, and various values of and x (as Indicated). Points represent experimental results [i.e., r(M), l.h.s. scale) for the systems PS/cyclohexane(35°C)/S102 (filled circles) and PS/CCI4/SIO2 (open circles) at a concentration = 1 g/ra, taken from ref. L Redrawn from ref.. ...

Fig. 5.36 represents experimental results obtained by this polarization routine in the standard Ag(100)/AgNO3 system [5.9, 5.72]. A linear relation between the slope of the pyramids and the overpotential is found in accordance to eq. (5.25). Considering the growth pyramids as arising from single screw dislocations, a value of f = 1 X 10 J cm is estimated from the data in Fig. 5.36 in good agreement with results obtained in this system by other methods (cf. Section 5.1). 

Figure 2.9 Plot of the partial pressure of chloroform in the gas phase over an oleyl alcohol-chloroform mixture at 20°C as a function of the percentage of chloroform in the mixture solid circles represent experimental results full curve is the Raoult s law plot.

Figure 35, (a) Variation of the initial sticking coeiiicient with initial normal kinetic energy (circles represent experimental results from Hamza and Madix (1985) while triangles and squares represent classical GLE calculations at incident angles of 0° and 45°, respectively) (b) calculated number density of scattered Hj vs. final polar angle (c) calculated initial rotational state dependence of the dissociation probability. The plots are from Kara and DePristo (1989). 

Figure 13.5. Selection of subsets from the IC93 database using random picking (theoretical expectation and representative experimental result) and maximum dissimilarity selection based on UNITY 2D fingerprints. The percentage of biological classes sampled from the IC93 database is plotted versus the subset size.

Figure 29.20 Kinetic isotope effect in carbonic anhydrase II plotted as a function of the atomic fraction of deuterium in water. The dots represent experimental results taken from Ref. [70], the circles and squares are the results of quantum and classical calculations, respectively [18].

Figure 9. Effect of pH on the stability (gel time) of the colloidal silica-water system. Thick solid lines represent experimental results (3). Shaded areas and white area in between are approximate zones corresponding to behavior predicted by the DLVO theory (1, 26), some in contrast with experimental results minimum stability predicted at pH around 2-3, increasing stability predicted at pH between 3 and 6-8, and maximum stability predicted at pH higher than 8. (Reproduced with permission from reference 3. Copyright 1979 John Wiley ir Sons,...

In the samples used for the scattering experiments the shorter chains strongly overlap consequently, we shall assume that these chains are Brownian and that their form function is known. Hence, formula (15.5.4) contains only one unknown quantity H L(<7) and it can be used to represent experimental results even for rather high concentrations of long chains. 

Figure 9.28. Free energy gap dependence for the rate constant of the charge recombination reaction in contact ion pairs. Circles represent experimental results of Asahi and Mataga from [322a], solid line is a result of theoretical fitting with , = I.6eV and V = O.I95eV (details in the text). (Reproduced from [168] with permission. Copyright (2000) by the American Institute...

The most representative experimental results for the case of interfacial heat transfer between a fluid and the particles of a packed bed are shown in Fig. 3.2.b-I. 

The capture coefficient C as calculated from (6) for various cryosurface and gas temperatures is represented by the solid lines in Figs. 3,4, and 5. The points indicated on the figures represent experimental results. 

---