Distribution homogeneous

Herein Pa and Pb are the micelle - water partition coefficients of A and B, respectively, defined as ratios of the concentrations in the micellar and aqueous phase [S] is the concentration of surfactant V. ai,s is fhe molar volume of the micellised surfactant and k and k , are the second-order rate constants for the reaction in the micellar pseudophase and in the aqueous phase, respectively. The appearance of the molar volume of the surfactant in this equation is somewhat alarming. It is difficult to identify the volume of the micellar pseudophase that can be regarded as the potential reaction volume. Moreover, the reactants are often not homogeneously distributed throughout the micelle and... 

Homogeneous distribution can be attained by controlled coprecipitation of hydroxides which are then decomposed by calciaation yielding powders of fine particle si2es. Active siaterable powders are produced commercially, usually by hydrolysis of a mixture of ZrOCl2 and YCl to precipitate the mixed... 

How does principal component analysis work Consider, for example, the two-dimensional distribution of points shown in Figure 7a. This distribution clearly has a strong linear component and is closer to a one-dimensional distribution than to a full two-dimensional distribution. However, from the one-dimensional projections of this distribution on the two orthogonal axes X and Y you would not know that. In fact, you would probably conclude, based only on these projections, that the data points are homogeneously distributed in two dimensions. A simple axes rotation is all it takes to reveal that the data points... 

Point measurement, requires assumption of homogeneous distribution of particles neglects extinction from absorption, coarse particles (>3-10 fim must consider humidity effects at high relative humidity... 

The highest effectiveness can be achieved with the piston strategy. The contaminant concentration, temperature or humidity, and the local effectiveness are functions of the location and the power of the sources in relation to the supply and exhaust openings. With a homogeneous distribution... 

For the first case, Figure 11.22 shows the airflow field above the floor in a plane through the objects. It obviously is very different from the solution obtained with homogeneously distributed semiporous objects, which shows more or less an average velocity all over the plane. 

Mixing of fluids is necessary in many chemical processes. It may include mixing of liquid vith liquid, gas with liquid, or solids with liquid. Agitation of these fluid masses does not necessarily imply any significant amount of actual intimate and homogeneous distribution of the fluids or particles, and for this reason mixing requires a definition of degree and/or purpose to properly define the desired state of the system. 

Up to now it has been tacitly assumed that each molecular motion can be described by a single correlation time. On the other hand, it is well-known, e.g., from dielectric and mechanical relaxation studies as well as from photon correlation spectroscopy and NMR relaxation times that in polymers one often deals with a distribution of correlation times60 65), in particular in glassy systems. Although the phenomenon as such is well established, little is known about the nature of this distribution. In particular, most techniques employed in this area do not allow a distinction of a heterogeneous distribution, where spatially separed groups move with different time constants and a homogeneous distribution, where each monomer unit shows essentially the same non-exponential relaxation. Even worse, relaxation... 

H NMR 38,39,42, 50-55 Hole capacity constant 205 Homogeneous distribution of correlation times 37 Humic acids 17 Humidity of plastics 119 Humins 17 Hydrogen bond 200 Hydrophilic 191, 194, 206... 

Stimulus molecules approach the receptor area in a random distribution. Therefore, there cannot be a homogeneous distribution of chemical or enzymic processing capabilities over the area, as this would produce a chaotic mass of information. The capabilities of such precise chemoreceptory discrimination that we observe can only arise from an ordered system in such a way that specific reaction-types would be localized, or at least be concentrated in specific areas of the epithelium. ... 

However, there may be good reasons why a catalyst should not consist of particles that are too small, as we saw in the beginning of this chapter, e.g. to avoid pressure gradients in the reactor. Based on an analysis such as the above, one can decide whether it makes sense to use support particles that contain a homogeneous distribution of the catalytic phase. With expensive noble metals, one might perhaps decide to use an egg-shell type of arrangement, where the noble metal is only present on the outside of the particles. 

A yield point is necessary to guarantee a homogeneous distribution of fruits in the big containers were fruit preparations are transported. The shear thinning of the preparations is an important aspect for their pumping and mixing properties. 

For many years, research efforts in materials chemistry have focused on the development of new methods for materials synthesis. Traditional areas of interest have included the synthesis of catalytic, electronic, and refractory materials via aqueous methods (sol-gel and impregnation) and high-temperature reactions [1-3]. More recent strategies have focused on the synthesis of materials with tailored properties and structures, including well-defined pores, homogeneously distributed elements, isolated catalytic sites, comphcated stoichiometries, inorganic/organic hybrids, and nanoparticles [4-13]. A feature... 

---