General conclusions

The ti eatment of the Jahn-Teller effect for more complicated cases is similar. The general conclusion is that the appearance of a linear term in the off-diagonal matrix elements H+- and H-+ leads always to an instability at the most symmetric configuration due to the fact that integrals of the type do not vanish there when the product < / > / has the same species as a nontotally symmetiic vibration (see Appendix E). If T is the species of the degenerate electronic wave functions, the species of will be that of T, ... 

Lithium bromide and iodide probably have some degree of covalenc> but this does not affect the general conclusion. 

Polarizabilities and hyperpolarizabilities have been calculated with semi-empirical, ah initio, and DFT methods. The general conclusion from these studies is that a high level of theory is necessary to correctly predict nonlinear optical properties. 

The general conclusion drawn from this work was that to a first... 

It is difficult to draw general conclusions from such a small number of values. Nevertheless, it can be noted that, like other five- or six-membered unsaturated rings (thiophene, pyridine) thiazole exhibits a certain aromatic behavior in its magnetic susceptibility. 

Although Noyce and Fike have recently found for the solvolysis of 2-thiazolyl-ethyl chlorides analogous modality of substituent electronic effect transmission from position 2 toward position 5 and from position 5 toward position 2(60). a more general conclusion indicates that the... 

General conclusions determination of specific surface from adsorption isotherms... 

A manual entitled Reporting Physisorption Data for Gas/Solid Systems with Special Reference to the Determination of Surface Area and Porosity has been prepared as a provisional publication by Commission 1.6 of the International Union of Pure and Applied Chemistry (lUPAC). The purpose of the manual is to draw attention to problems involved in reporting physisorption data and to provide guidance on the evaluation and interpretation of isotherm data. The general conclusions and recommendations are very similar to those contained in Chapter 6. 

The pioneering 10-MW Solar One plant in Barstow, California, produced the most successful central receiver tests. The plant was funded primarily by the U.S. Department of Energy (DOE) and operated by Southern California Edison Company in the early to mid-1980s. EPRI provided technical evaluations of the experiment. The general conclusion drawn from Solar One and other experiments was that further substantial engineering development was needed. 

In general conclusion, the HMO and SCF methods both appear able to make reasonably accurate predictions about the stabilization in conjugated moleeules. The stabilization is general for benzenoid compounds but quite restricted in nonbenzenoid systems. Because the HMO method of estimating stabiUty is based on the ideas of HMO theory, its general success vindicates the ability of this very simplified MO approach to provide insight into the structural nature of the aimulenes and other conjugated polyenes. More sophisticated MO methods, of course, are now accessible and should be applied for more detailed analysis of the structures of these molecules. 

The seemingly simple question of the relation the characteristics of a mechanically prepared metal surface and adhesion to that surface has sporadically occupied attention for many decades without any very general conclusion being reached [69]. In some recent work, Amada et al. [70,71] grit-blasted a steel substrate, varying the angle between the gun and the specimen surface, and measured the adhesion of a plasma-sprayed alumina coating. They examined profiles of the... 

As can be seen from Fig, 3.7, the pinch decomposes the synthesis problem into two regions a rich end and a lean end. The rich end comprises all streams or parts of streams richer than the pinch composition. Similarly, the lean end includes all the streams or parts of streams leaner than the pinch composition. Above the pinch, exchange between the rich and the lean process streams takes place. External MSAs are not required. Using an external MSA above the pinch will incur a penalty of eliminating an equivalent amount of process lean streams from service. On the other hand, below the pinch, both the process and the external lean streams should be used. Furthermore, Fig. 3.7 indicates that if any mass is transferred across the pinch, the composite lean stream will move upward and, consequently, external MSAs in excess of the minimum requirement will be used. Therefore, to minimize the cost of external MSAs, mass should not be transferred across the pinch. It is worth pointing out that these observations are valid only for the class of MEN problems covered in this chapter. When the assumptions employed in this chapter are relaxed, more general conclusions can be made. For instance, it will be shown later that the pinch analysis can still be undertaken even when there are no process MSAs in the plant. The pinch characteristics will be generalized in Chapters Five and Six. 

It is the interplay of universal and material-specific properties which causes the interesting macroscopic behavior of macromolecular materials. This introduction will not consider scales beyond the universal or scaling regime, such as finite element methods. First we will give a short discussion on which method can be used under which circumstances. Then a short account on microscopic methods will follow. The fourth section will contain some typical coarse-grained or mesoscopic simulations, followed by some short general conclusions. 

Even if no general conclusions can be drawn on the basis of existing material, it appears that further study of cyclization of these substances could elucidate the mechanism of cyclization of thiosemi-carbazones of a-keto acids which is of fundamental importance in the chemistry of dioxotriazines. 

More interesting are the substitution reactions on the triazole ring where a characteristically different course can be expected from that of analogous reactions in the purine series. These reactions were studied in more detail only in connection with the preparation of the glycosyl derivatives, and the experimental material does not permit the drawing of general conclusions. 

D. General Conclusions on the Factors Affecting Annular Tautomerism. 201... 

The present volume commences with an introductory chapter authored by Drs. J. Elguero (Madrid, Spain), A. R. Katritzky, and O. V. Denisko (both of the University of Florida, U.S.A.) and deals with the many advances in the methods of investigation of tautomeric equilibria and the general conclusions that can now be drawn regarding the subject. 

Relatively little is known about the complex tautomerism possible in substances of this type, and no general conclusions can yet be formulated. 

The general conclusions drawn by Charabot and Laloue as the result of these and a number of similar experiments are as follows — ... 

To date, most studies of ionic liquids have used a small set of ionic liquids and have been based on the idea that, if the response of a particular probe molecule or reaction is like that in some known molecular solvent, then it can be said that the polarities of the ionic liquid and the molecular solvent are the same. This may not necessarily be the case. Only systematic investigations will show whether this is tme, and only when a wide range of ionic liquids with a wide range of different solvent polarity probes have been studied will we be able to make any truly general statements about the polarity of ionic liquids. Indeed, in our attempts to understand the nature of solvent effects in ionic liquids, we will probably have to refine our notion of polarity itself However, it is possible to draw some tentative general conclusions. 

Each MWD company ran a full suite of MWD/LWD logs that were compared to benchmark wireline logs obtained by averaging the wireline logs with the least standard deviation errors. The data have been analyzed in the oil and service companies [128] and at Louisiana State University (LSU) where two master of science theses were completed utilizing this data [129,130]. The general conclusions of the LSU studies are as follows ... 

It is clear from the above comments that no general conclusions can be drawn concerning the effects on stress-corrosion cracking of various alloying elements added to the steels. Thus, specific data relating to the actual... 

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