Equality application

Figure A2.5.16. The coexistence curve, = KI(2R) versus mole fraction v for a simple mixture. Also shown as an abscissa is the order parameter s, which makes the diagram equally applicable to order-disorder phenomena in solids and to ferromagnetism. The dotted curve is the spinodal.

All the techniques described above can be used to calculate molecular structures and energies. Which other properties are important for chemoinformatics Most applications have used semi-empirical theory to calculate properties or descriptors, but ab-initio and DFT are equally applicable. In the following, we describe some typical properties and descriptors that have been used in quantitative structure-activity (QSAR) and structure-property (QSPR) relationships. 

We also found N-nitropyridinium salts such as C5HjN N02BF4 as convenient transfer nitrating reagents in selective, clean reaetions. Transfer nitrations are equally applicable to C- as well as to 0-nitra-tions, allowing, for example, safe, acid-free preparation of alkyl nitrates and polynitrates from alcohols (including nitroglycerine). 

The level of theory necessary for computing PES s depends on how those results are to be used. Molecular mechanics calculations are often used for examining possible conformers of a molecule. Semiempiricial calculations can give a qualitative picture of a reaction surface. Ah initio methods must often be used for quantitatively correct reaction surfaces. Note that size consistent methods must be used for the most accurate results. The specific recommendations given in Chapter 18 are equally applicable to PES calculations. 

This is as recommended in Section 25.6 and is equally applicable to LT and HT capacitor units. 

For the model of free point particles the Newtonian equations present by far the simplest and most efficient analytical fonnalism. In contrast, for chains of rigid bodies, there are several different, but equally applicable, analytical methods in mechanics, with their spe-... 

When just a trace of dark impurity is present, as in some of the commercial preparations, a completely pure product is easily obtained by vacuum distillation, but the ordinary crude reaction product is likely to decompose when treated in this manner. The ether method introduced in the present procedure has the advantage of being simple and efficient. It is equally applicable to the purification of the homologues of a-naphthoquinone. 

This chapter overviews the techniques for incorporating external events into a PSA. The discussion was primarily aimed at nuclear power plants but is equally applicable to chemical process plants. The types of external events discussed were earthquakes, fires and floods. Notably absent were severe winds and tornados. Tornados are analyzed as missiles impacting the structures and causing common-cause failures of systems (EPRINP-768). Missile propagation and the resulting damage is a specialized subject usually solved with computer codes. 

This reaction does not need any special handling and the reduction conditions commonly used witli lithium aluminum hydride (see chapter 2) are equally applicable with lithium aluminum deuteride. 

Isotope labeling by derivative formation with deuterated reagents is useful for the preparation of analogs such as dg-acetonides, da-acetates, da-methyl ethers, dg-methyl esters, etc. The required reagents are either commercially available or can be easily prepared. (The preparation of da-methyl iodide is described in section IX-F. Various procedures are reported in the literature for the preparation of dg-acetone, da-diazometh-ane57.i63.i73 and da-acetyl chloride. ) These reactions can be carried out under the usual conditions and they need no further discussion. A convenient procedure has been reported for the da-methylation of sterically hindered or hydrogen bonded phenolic hydroxyl functions by using da-methyl iodide and sodium hydroxide in dimethyl sulfoxide solution. This procedure should be equally applicable to the preparation of estradiol da-methyl ether derivatives. 

Note that the expressions for E., and v.,2 are the generally accepted rule-of-mixtures results. The Halpin-Tsai equations are equally applicable to fiber, ribbon, or particulate composites. For example, Halpin and... 

Note that if B g and 825 are zero, then and T23 are also zero, so Equation (5.92) reduces to the specially orthotropic plate solution. Equation (5.65). The character of Equation (5.92) is the same as that of Equation (5.81) for antisymmetric cross-ply laminated plates, so the remarks on finding the buckling load in Section 5.4.3 are equally applicable here. 

It is up to you to determine your company s style and your management s preferences, and to develop your presentation in the way that best meets their needs and expectations. However there are some fundamental techniques to presentation development and delivery that may be useful as you consider this task. These ideas are equally applicable regardless of what form of sponsorship you seek or what organization structure applies to your company. 

Read Chapter 2 of the CCPS publication Guidelines for Implementing Process Safety Management Systems, 1993, for guidance on obtaining buy-in. The principles described for obtaining support and commitment for PSM are equally applicable to integration of PSM and ESH. 

This sequence is equally applicable to keto esters. Thus, condensation of guanidine with ethyl acetoacetate gives the pyrimidone, 134. Elaboration as above gives the pyrimidine, IJ5 acylation with the sulfonyl chloride (88) followed by hydrolysis yields sulfamerazine (107). Reaction of guanidine with beta dicarbonyl compounds gives the pyrimidine directly. Condensation of the base with acetonyl acetone affords the starting amine for sulfadimidine (108). ... 

The majority of work on the electrified interface has been carried out using a mercury electrode, which has the advantage that it has a well-defined and reproducible surface and a highly polarisable interface when immersed in a solution. In the case of solid metals the concepts outlined are equally applicable, but modifications are necessary to allow for the following ... 

Corrosion Product metal reaction product resulting from a corrosion reaction although the term is normally applied to solid compounds it is equally applicable to gases and ions resulting from a corrosion reaction. 

Esters undergo the same kinds of reactions that we ve seen for other carboxylic acid derivatives, but they are less reactive toward nucleophiles than either acid chlorides or anhydrides. All their reactions are equally applicable to both acyclic and cyclic esters, called lactones. 

The present method is that described by Rinderknecht and Ma.3 4 It is equally applicable to a variety of other heterocyclic, aromatic, and aliphatic anhydrides.4,6 Nicotinic anhydride was first prepared by reaction of nicotinoyl chloride with sodium nicotinate,6,7 and more recently by reaction of potassium nico-tinate with oxalyl chloride in anhydrous benzene.2... 

Liquid-liquid extraction is a technique in which a solution (usually aqueous) is brought into contact with a second solvent (usually organic), essentially immiscible with the first, in order to bring about a transfer of one or more solutes into the second solvent. The separations that can be performed are simple, clean, rapid, and convenient. In many cases separation may be effected by shaking in a separatory funnel for a few minutes. The technique is equally applicable to trace level and large amounts of materials. 

Commercial forms of the electrode are available and in general are similar to the calomel electrode depicted in Fig. 15.1(h) with the replacement of the mercury by a silver electrode, and calomel by silver chloride. The remarks concerning clogging of the sintered disc, and the use of ion exchange membranes and double junctions to reduce this are equally applicable to the silver-silver chloride electrode. 

Among the chemical methods proposed for the objective measurement of maturity may be listed total solids, alcohol-insoluble solids, and starch, based upon the fact that these constituents increase in concentration with maturity. Each has its limitations and advantages, and all are equally applicable as long as the limitations are taken into account. These methods as they apply to frozen peas have been discussed by Nielsen and co-workers (31) and by Lee (22). 

Even though we have waited until this point to discuss optional pretreatments, they are equally applicable to CLS, ILS, PCR, and PLS. There are a number of possible ways to pretreat our data before we find the principal components and perform the regression. They fall into 3 main categories ... 

Note. This excellent method, which proceeds with the intermediacy of the trimethylsilyl carboxylates, is equally applicable to esterifications of acids with simple alcohols, which are then used as solvent. 

The general conclusions of the preceding paragraphs are equally applicable to the reactions of a number of oxides with Mo03 or W03. In such processes, the Mo03 or W03 is often the more mobile. Many solid-solid interactions of the type... 

The theory is equally applicable when bulk flow occurs. In gas absorption, for example where may be expressed the mass transfer rate in terms of the concentration gradient in the gas phase ... 

In the calculations presented here, the long-range effects present in a crystal were introduced explicitly for the SCF-MO treated cluster, by surrounding it with point-ions situated at the X-ray determined atomic positions of alpha-quartz. This method has been used for the more ionic systems of alpha-NaOH, and MgO with some success and the calculations described in this paper show that it is equally applicable for semi-covalent materials. 

In turning to the last-mentioned results, it is to be noted that the theory given above should, in principle, be equally applicable to a deformation for which atransverse directions to the extent The... 

Conventional use has been made of the radioisotope C, and details need hardly be given here. Illustrative examples include the elucidation of pathways for the anaerobic degradation of amino acids (Chapter 7, Part 1) and purines (Chapter 10, Part 1). Some applications have used C with high-resolution Fourier transform NMR in whole-cell suspensions, and this is equally applicable to molecules containing the natural or the synthetic P nuclei. As noted later, major advances in NMR have made it possible to use natural levels of C. 

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