Correspondence principal general

In Chapter 5, using Alfrey s correspondence principal for a generalized mechanical model it was found that the stress and strain could be related in Laplace transform space as... 

The synthetic procedure described is based on that reported earlier for the synthesis on a smaller scale of anthracene, benz[a]anthracene, chrysene, dibenz[a,c]anthracene, and phenanthrene in excellent yields from the corresponding quinones. Although reduction of quinones with HI and phosphorus was described in the older literature, relatively drastic conditions were employed and mixtures of polyhydrogenated derivatives were the principal products. The relatively milder experimental procedure employed herein appears generally applicable to the reduction of both ortho- and para-quinones directly to the fully aromatic polycyclic arenes. The method is apparently inapplicable to quinones having an olefinic bond, such as o-naphthoquinone, since an analogous reaction of the latter provides a product of undetermined structure (unpublished result). As shown previously, phenols and hydro-quinones, implicated as intermediates in the reduction of quinones by HI, can also be smoothly deoxygenated to fully aromatic polycyclic arenes under conditions similar to those described herein. 

Potassium compounds have many similarities to sodium compounds. The principal mineral sources of potassium are carnallite, KCl-MgCl2-6H20, and sylvite, KC1, which is incorporated directly into some fertilizers as a source of essential potassium. Potassium compounds are generally more expensive than the corresponding sodium compounds, but in some applications their advantages outweigh their... 

As described earlier, the C=N double bond of the azaquinone structures is readily hydrated to provide the corresponding hydroxy derivatives, a principal step involved in their dimerization. Generally the chemis-... 

Atomic units (me = 1, qe = 1, h = 1) are used throughout this chapter.] The coefficients T, T2, and To are assumed to be in general analytical functions of the bending coordinate p. The term Tz represent the operator describing the rotation of the molecule around the (principal) axis z corresponding to the smallest moment inertia—this axis coincides at the linear nuclear arrangement with the molecular axis. Now Tz can be written in the form... 

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