Size difference

Few if any binary mixtures are exactly syimnetrical around v = 1/2, and phase diagrams like that sketched in figure A2.5.5(c) are typicd. In particular one can write for mixtures of molecules of different size (different molar volumes and F°g) the approxunate equation... 

A membrane filter which can uniformly remove all viral agents regardless of the size of the viral agent is not available. Part of the difficulty is that the efficient recovery of the biological product diminishes as the size difference between the vims and biological product lessens. Thus a balance needs to be met where vims removal and product recovery are optimized. 

Solid Soil Type and Size. Different soHd soils differ greatly in ease of removal and redeposition behavior. These differences can be traced to particle size and soil—substrate bonding. The effect of particle size variation on detergency has been studied with soil removal and redeposition techniques. 

As might be expected, large differences in the removabiUty of soHd particulate soil are due to differences in the chemical nature of the particle surface. Thus, kon oxides, lampblacks, and clays, all of the same particle size, differ greatly in thek redeposition behavior and the manner in which they are removed. 

Measurements of the rate of change in concentration of oxidizable chemicals in aerated vessels have questionable value for assessing rates with biological systems. Not only are flow patterns and bubble sizes different for biological systems, but surface active agents and... 

Size exclusion is basically employed for three different applications. One is the original one, i.e., desalting or separation of solutes differing more than a decade in molecular size. Another application is fractionation where the size differences are smaller, i.e., typically a factor of two to five. The third application is the determination of the molecular weight(s) of a sample. 

The resolution required in any analytical SEC procedure, e.g., to detect sample impurities, is primarily based on the nature of the sample components with respect to their shape, the relative size differences of species contained in the sample, and the minimal size difference to be resolved. These sample attributes, in addition to the range of sizes to be examined, determine the required selectivity. Earlier work has shown that the limit of resolvability in SEC of molecules [i.e., the ability to completely resolve solutes of different sizes as a function of (1) plate number, (2) different solute shapes, and (3) media pore volumes] ranges from close to 20% for the molecular mass difference required to resolve spherical solutes down to near a 10% difference in molecular mass required for the separation of rod-shaped molecules (Hagel, 1993). To approach these limits, a SEC medium and a system with appropriate selectivity and efficiency must be employed. 

The smallest size difference that can be resolved is related to the pore volume, the solute shape, and the efficiency of the column (see Fig. 2.6). However, this is at very low loadings. At higher loadings the sample volume will contribute to zone broadening and may, in some cases, be the dominating factor for resolution. Thus, for fractionation, an optimum exists with respect to column efficiency (represented by the flow rate as operational parameter) and sample volume for processing a particular volume of feed per unit time. As a rule of thumb this optimum can be found at a relative sample volume of 2-5% of the column volume (Hagel et al., 1989). 

Gel filtration is very suitable for the purity check of protein preparations, especially if these have been purified by adsorptive techniques. It can be expected that high-resolution gel filtration columns will easily separate dimeric forms from monomeric forms to reveal heterogeneities of the preparations. However, a size difference of less than 20% will not result in total resolution of the peaks (although the chromatogram may be used for a qualitative judgment of the... 

Proteins are separated on Zorbax GF columns based on their hydrodynamic size, which may be related to the proteins molecular weights (Fig. 3.10). Under ideal conditions, two proteins whose molecular sizes differ by a factor of 2 can be baseline separated. 

There is considerable compensation in these equations that tends to make the change in k less severe than noted. A molecule more mobile than most is probably smaller. It has a higher diffusion coefficient, but a smaller encounter probability. If one partner is especially small and mobile, the rate constant may exceed the typical values by a small factor. On the other hand, even when this size difference is allowed for, the rate constants for a few reactions are higher than one can account for in these terms. 

In severe neonatal nemaline myopathy virtually every muscle fiber shows multiple rods and all muscle fiber types are affected. However in juvenile cases, two different patterns of fiber type involvement are seen. In one there is a clear size difference between type 1 fibers, which are abnormally small (hypotrophic or atrophic) and which contain numerous nemaline rods, and type 2 fibers, which are either of normal diameter or hypertrophic and contain few, if any, nemaline rods. Other patients show a gross predominance of type 1 muscle fibers, again with rods virtually confined to this fiber type. These findings may be explicable in terms of the involvement of isoforms of a-actinin specific to slow and fast muscle fiber types. 

The enzymatic KR between racemic amines and nonactivated esters using a lipase as biocatalyst is shown in Scheme 7.15. In the same manner as in the transesterification of secondary alcohols, this process fits Kazlauskas rule [32], where normally if the large group (L) has larger priority than medium group (M), the (R)-amide is obtained. In general, major size differences between both groups result in better enantios-electivities ( ). 

Liposomes are members of a family of vesicular structures which can vary widely in their physicochemical properties. Basically, a liposome is built of one or more lipid bilayers surrounding an aqueous core. The backbone of the bilayer consists of phospholipids the major phospholipid is usually phosphatidylcholine (PC), a neutral lipid. Size, number of bilayers, bilayer charge, and bilayer rigidity are critical parameters controlling the fate of liposomes in vitro and in vivo. Dependent on the preparation procedure unilamellar or multilamellar vesicles can be produced. The diameter of these vesicles can range from 25 nm up to 50 ym—a 2000-fold size difference. 

C07-0085. Constract contour drawings for the orbitals graphed in Figure 7-20. appropriately scaled to illustrate the size differences among these orbitals. 

For a range of simple substitutional solid solutions to form, certain requirements must be met. First, the ions that replace each other must be isovalent. If this were not the case, other structural changes (e.g., vacancies or interstitials) would be required to maintain electroneutrality. Second, the ions that replace each other must be fairly similar in size. From a review of the experimental results on metal alloy formation, it has been suggested that 15% size difference can be tolerated for the formation of a substantial range of substitutional solid solutions. For solid solutions in nomnetal-lic systems, the limiting difference in size appears to be somewhat larger than 15%, although it is very difficult to quantify this. To a certain extent, this is because it is difficult to quantify the sizes of the ions themselves, but also because solid solution formation is very temperature dependent. 

---