Formula deducing

This is even more so for noncontact starts, especially for slow diffusion (tpc —> 0). As was mentioned, CA leads to the finite value of the charge separation yield in the static limit when cpc = D = 0. In highly polar solvents this quantity, lim =0 dashed line 2b (drawn for 8 = 1) with ordinate (Fig. 3.25). Instead, the remote recombination theory provides the following formula, deduced in the quasistatic limit from the general Eq. (3.224) ... 

A formula deduced by Poisson for mixtures of two liquids was stated by him as follows If u and u denote two positive fractions, the sum of which, is unity, and two liquids are mixed in the ratio of u and u then if v is the value of the product hq (which is nearly identical with for the mixture ... 

A formula, deduced by Kirchholf from theoretical considerations, has also been employed with success, viz. 

In this way he showed that the variation of the transition temperature with pressure is in close agreement with the thermodynamical formula (deduced in Chapter VII. p. 221) for the dependence of the melting point and the transition point on... 

The Second Method is based on the lowering of the vapour pressure by the non-volatile solute The formula deduced is—... 

The average functionality of a polyether triol can be calculated with the following formula (deduced from the previous formula) [48] ... 

The point which is most important in connection with the question under treatment in this book is that we are able to show that there is fresh strong evidence for the logical force of our Heat Theorem. This evidence lies in the experimental proof that there is really a general significance in the formula, deduced from a somewhat questionable mechanical model of a solid body and from molecular theory, for the calculation of constants of integration not fixed by thermodynamics. 

During their studies on symbiotic filamentous eubacteria found in the interior tissue of Theonella swhinoei from Palau, Faulkner et al. isolated a bicyclic glycopeptide, theopalauamide (42) [33]. Its molecular formula, deduced by HR mass measurements, differs from that of theonegramide... 

The rules and formulae deduced up to the present are by no means inviolable. The reader must constantly bear in mind the fundamental assumptions upon which we are working. If these conditions are not fulfilled, the conclusions may not only be superfluous, but even erroneous. The necessary conditions are ... 

A porous medium is modeled as made up of uniformly distributed straight circular capillaries of the same diameter. The flow through each capillary is an inertia free Poiseuille flow. By comparing the Poiseuille pressure drop and the Darcy pressure drop formulas, deduce an expression for the permeability. Discuss the difference between the result obtained and the Kozeny-Carman permeability. 

The three pentanes, which are known, can be prepared by methods which indicate that they have the structures represented by the formulas deduced above. These hydrocarbons are not appreciably affected by acids, bases, or oxidizing agents. They react with chlorine and bromine, and burn in the air. Normal pentane boils at 36.3° isopentane, or dimethyl-ethyl-methane at 27.9°, and tetramethyl-methane at 9.5°. It has been observed as the result of the study of a number of hydrocarbons that isomers have different boiling points, and, in general, the isomer with the longer chain has the higher boiling point. In normal pentane there is a chain of five carbon atoms, in isopentane a chain of four, and in tetramethyl-methane a chain of three. 

The formula deduced for the A-factor was confirmed by a number of its transformations (fig. 1). A mixture of homologous, branched fatty acids was discovered as a result of alkaline hydrolysis of crude A-factor and its non-crystallized dlphenylcarbanllate that was a confirmation of the presence of homologues in parent preparations. A number of different products of the A-factor and its dlphenylcarbanllate degradation were obtained Their structures are in accordance with the formula, deduced for the bioregulator. 

Berthelot applied a formula deduced by Clausius for the mean velocity of gas molecules ... 

In a number of experimental work, the kinetic model, first proposed by Baba et al. (1971), has been applied to discussion of nonexponential decays. In spite of the fundamental inadequacy of the kinetic language for description of an isolated molecule, the formulas deduced in this way correspond to those obtained by the quantum-mechanical treatment in the limiting case of a totally random distribution of / levels and totally coherent excitation (Lahmani et al, 1974). As long as we are close to this limit, the kinetic description will be correct, but its extrapolations may be dangerous. 

I. Empirical resistance formula deduced from the l/7th power velocity distribution law... 

The experimental data were calculated following the theoretical formulas deduced by Danesi [16]. Assuming that the mass transfer process could be formally treated as a pseudo-first-order reversible reaction with respect to the metal cation. 

Based on the Tio.75(OH)i,5Fi 5 formula deduced from chemical analysis and this polyhedron sequence, two extreme formulations can be proposed ... 

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