Analog more complicated

For more complicated redox reactions, a general fonn of the Nemst equation may be derived by analogy with A2.4.113. If we consider a stoichiometric reaction of the following type ... 

Circular Tubes Numerous relationships have been proposed for predicting turbulent flow in tubes. For high-Prandtl-number fluids, relationships derived from the equations of motion and energy through the momentum-heat-transfer analogy are more complicated and no more accurate than many of the empirical relationships that have been developed. 

A more complicated, and more effective, mechanism operates in partially stabilised zirconia (PSZ), which has general application to other ceramics. Consider the analogy of a chocolate bar. Chocolate is a brittle solid and because of this it is notch-sensitive notches are moulded into chocolate to help you break it in a fair, controlled way. Some chocolate bars have raisins and nuts in them, and they are less brittle a crack, when it... 

Whereas only one dehydrobenzene, benzyne, has been detected, two pyridynes are possible. Thus, the scheme we can write ab initio for the action of a nucleophile on the isomeric monosubstituted derivatives of pyridine involving 2,3- (26) and/or 3,4-pyridyne (31) is more complicated than that for the analogous reaction of the corresponding benzene derivative. The validity of this scheme can be checked using data available in the hterature on reactions of halogenopyridines with potassium amide and hthium piperidide involving pyridynes. 

This analogy has been found to be very useful in investigating more complicated situations. For instance, in applications one often encounters the so-called phenomenon of a hard self-excitation. The... 

The more complicated silanes, such as SiH3 SiH2—SiH3, the analog of propane, decompose on standing. 

This proton transfer reaction is not fast, and it is suggested that this may be a more complicated reaction than was anticipated, perhaps occurring by initial addition of OH or OR to the metal followed by H2O or ROH expulsion. In support of this is the isolation of a complex Os(CO)-(CNC6H4CH3)(PPh3)2(H)OR from an analogous reaction sequence. (This is the only reference yet to any osmium carbonyl-isocyanide chemistry.)... 

In contrast to the substituted PPO s, It Is theoretically possible to obtain the same substituted PECH s by homopolymerization of the corresponding mesogenic oxirane, or by its copolymerization with epichlorohydrin. We have attempted these polymerizations in order to better interpret the thermal behavior of the more complicated copolymers that we have obtained by polymer analogous reactions. Homopolymerization would be instructive because the incorporation of nonmesogenic units into liquid crystalline homopolymers doesn t as a rule change the type of mesophase obtained (5). 

This is straightforward in case the A and S filters are identical (i.e., F =f and F% = Fd). With confocal FRET this is commonly the ease with CCD imaging, it requires matching the filters. Without this assumption, an analogous result can be obtained, although derivation is significantly more complicated. 

In analogy to the thiohydantoin synthesis, the PEG-bound diamines have also been treated with various alkyl and aryl isothiocyanates and, after applying traceless cyclative cleavage, the desired thioxotetrahydropyrimidinones were obtained in excellent yields. In contrast to the thiohydantoin synthesis, purification of the products was more complicated if the excess of isothiocyanate amounted to more than 2.2 equivalents [85],... 

An electron is a particle of such small dimensions that its mechanical behaviour can be correctly described only by medium of quantum mechanics. The aim of this discussion is therefore to introduce quantum mechanics and to investigate the mechanical behaviour of electrons in situations with implications for chemistry. Since quantum and classical mechanics yield the same results in the so-called classical limit, the more complicated quantum system can be developed by analogy with the simpler classical system. 

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