Total fraction

The large number of matches assumed in Eq. (E.2) is not a complication in establishing the target. This is so because the additive property shows that the total fractional number of shells is independent of how many vertical sections are used to divide a given heat exchange profile. 

Equation (E.2) can be considered further by using the contribution of the total fractional number of shells from each stream. The shells contribution of each stream i per match is... 

The symbols f and f correspond to total fraction of and hybridi2ed carbon, respectively, f represents the fraction of carbon in aromatic rings f , the fraction in carbonyls, b > 165 ppm the aromatic fraction that is protonated the aromatic fraction that is nonprotonated f, the phenoHc or phenohc ether carbon, 6 = 150-165 ppm f, the alkylated aromatic carbon, 6 = 135-150 ppm , the aromatic bridgehead carbon f represents the fraction of CH or CH2 aUphatic carbon f, the CH or nonprotonated aUphatic carbon and f, the aUphatic carbon bound to oxygen, b — 50-90 ppm. 

What is that negative contribution We can follow the trajectories backward in time to find the well from which they originated. Of the number of trajectories initially moving from product to reactant, a fraction P is deactivated as reactant and a fraction 1 — f recross the TST due to inertial motion or frequent collisions. A fraction P( — P) will then be deactivated as product, and the remaining (1 — P)- will recross. And so on. The total fraction that is deactivated as product is... 

Figures 3,20, 3,21 and 3,22 show how the number of cyclic states (Nc), the average cycle length Crmave) and total fraction of states on cycles fc) changes as...

The portion boiling up to 5 5 °/10 mm., obtained after the second fractionation, was washed with concentrated sulfuric acid, then water, and finally dried and distilled. A certain amount of trimethylene chloride was sometimes obtained, boiling at 115-120° and amounting to about 30 per cent of the total fraction. 

FR = (AUCoff - AUCon) /AUCoff The total fraction (FR) eliminated must be distinguished from the specific fraction (FRfract) that is eliminated by the dialysis alone. 

We wish to know the total fraction of receptors in the active state ... 

The total fraction of C>2(v > 26) generated from the photodissociation of ozone at a particular wavelength is given by... 

FIGURE 11.3 Cobalt catalyst (for reaction conditions, see Figure 11.1) fraction distribution 1/distribution total fraction 13C incorporation. 

Previous attempts to distinguish between the different kinds of pairs by applying microscopic methods such as conventional Mossbauer spectroscopy were unsatisfactory, since the Mossbauer spectra corresponding to the HS state of the iron(II) atoms in the [HS-LS] and [HS-HS] spin pairs are indistinguishable. Zero-field Mossbauer spectroscopy applied to the bpym-bridged iron(II) dinuclear compounds only gives access to the total fraction... 

The technique of H NMR thermal analysis (25) yields data In the form of M2J pyrograms (typical examples are shown In Figures 1 and 2). The fusibility of a coal can be ranked by the minimum value of M2J (M2jmln) attained during the experiment. This parameter measures the Instantaneous maximum extent of fusion of the sample on a molecular level and not the total fraction of material that passes through a fused state during heating. 

The decrease in absorbancy of poly U upon irradiation is discussed by Swenson and Setlow.48 Their results are shown in Figure 27. In this figure is also shown the photoinduced dimer splitting. The amount of photorecovery of absorbance for any particular total dose was taken to be a measure of the amount of dimer content at that dose. The amounts of dimer so calculated are shown in Figure 28. The amount of hydrates formed were estimated by measuring the thermal recovery of absorbancy. The results of both thermal and radiation reversal are shown in Figure 29. The total recovery of absorbance for poly U irradiated at 265 nm was 87-90% (after certain corrections, it was estimated that 95% of the absorbance decrease could be accounted for by dimers and hydrates). Of this total reversal of 907o about 67% was effected by the thermal treatment, and presumably this number provides an estimate of the total fraction (0.75) of hydrates in the photoproducts. 

The 5-membered cycles are shown to be characteristic of the cyclic associates 33). In molecules of the model compounds II and V there also exist 8-membered cycles with OH. .. OH hydrogen bonds. However, the total fraction of cyclic associates in the polymer is not great (1-2%). A similar conclusion has been made earlier from kinetic studies 14 44). 

It was found that the total fraction of the free-volume in the system increases with increasing concentration of the polymeric filler. The temperature dependence of fg for the epoxy matrix was calculated on the supposition that free-volume is an additive value of the constituent components and using the temperature dependence of the fractional free-volume of polystyrene. It was found that with increasing filler concentration the fractional free-volume becomes greater than for pure epoxy resin. Since the fraction of the free-volume increases with increasing total surface area of the filler, it may be supposed that this effect is associated with the surface layers of polymer. It was found that the rate of free-volume expansion in a filled system is higher than in an unfilled one, which means that the expansivity of the free-volume... 

Then X(t) the total fraction of the original remaining would be... 

Hartman and Wold (212) have used a bifunctional imido ester, dimethyl adipimidate, as a cross-linking reagent for an enzyme sample containing phosphate ion to protect Lys 41. The monomeric component of the reaction mixture was apparently itself a mixture of species which was not further fractionated. The total fraction had slightly reduced RNA activity but the same Vm and a decreased Km for the activity... 

Because the retention times of the different TGs within a PN differ, it is important to collect the whole peak at fractionation. One total fractionation, with an elution time of ca. 1.5 h, will provide enough material for the subsequent separation procedure based on argentation-HPLC (utilizing silver ions in the mobile phase), in order to separate geometrical isomers. 

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