Successive transformations

In the previous sections the radioactive equilibrium between a mother nuclide and a daughter nuclide according to eq. (4.13) has been considered. This can be extended to a longer sequence of successive transformations  

For such a sequence, eq. (4.14) can be written in a more general form dA n 

By use of these equations the number of atoms in any series of successive transformations can be calculated. For the daughter nuclide 2, cq. (4.17) is obtained. 

If the half-life of the mother nuclide is much longer than those of the succeeding radionuclides (secular equilibrium), eq. (4.48) becomes much simpler, provided that radioactive equilibrium is established. As in this case At A2, A3... Aa, all terms are small compared with the first one, giving 

Furthermore, under these conditions the following relations are valid  

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In subsequent studies,22 Sheehan et al. demonstrated that the action of diisopropylcarbodiimide on penicilloate 24, prepared by protection of the free primary amino group in 23 with trityl chloride (see Scheme 6b), results in the formation of the desired -lactam 25 in a very respectable yield of 67 %. In this most successful transformation, the competing azlactonization reaction is prevented by the use of a trityl group (Ph3C) to protect the C-6 amino function. Hydrogenolysis of the benzyl ester function in 25, followed by removal of the trityl protecting group with dilute aqueous HC1, furnishes 6-aminopenicillanic acid (26), a versatile intermediate for the synthesis of natural and unnatural penicillins. 

Aziridine lactone 235 (Scheme 3.87) underwent ring-opening with allyl alcohol to give a 53% yield of a-amino lactone 236, which was successfully transformed to the unnatural enantiomer of polyoxamic acid (—)-237 [32],... 

The catalytic alcohol racemization with diruthenium catalyst 1 is based on the reversible transfer hydrogenation mechanism. Meanwhile, the problem of ketone formation in the DKR of secondary alcohols with 1 was identified due to the liberation of molecular hydrogen. Then, we envisioned a novel asymmetric reductive acetylation of ketones to circumvent the problem of ketone formation (Scheme 6). A key factor of this process was the selection of hydrogen donors compatible with the DKR conditions. 2,6-Dimethyl-4-heptanol, which cannot be acylated by lipases, was chosen as a proper hydrogen donor. Asymmetric reductive acetylation of ketones was also possible under 1 atm hydrogen in ethyl acetate, which acted as acyl donor and solvent. Ethanol formation from ethyl acetate did not cause critical problem, and various ketones were successfully transformed into the corresponding chiral acetates (Table 17). However, reaction time (96 h) was unsatisfactory. 

After succeeding in the asymmetric reductive acylation of ketones, we ventured to see if enol acetates can be used as acyl donors and precursors of ketones at the same time through deacylation and keto-enol tautomerization (Scheme 8). The overall reaction thus corresponds to the asymmetric reduction of enol acetate. For example, 1-phenylvinyl acetate was transformed to (f )-l-phenylethyl acetate by CALB and diruthenium complex 1 in the presence of 2,6-dimethyl-4-heptanol with 89% yield and 98% ee. Molecular hydrogen (1 atm) was almost equally effective for the transformation. A broad range of enol acetates were prepared from ketones and were successfully transformed into their corresponding (7 )-acetates under 1 atm H2 (Table 19). From unsymmetrical aliphatic ketones, enol acetates were obtained as the mixtures of regio- and geometrical isomers. Notably, however, the efficiency of the process was little affected by the isomeric composition of the enol acetates. 

Atrazine is successively transformed to 2,4,6-trihydroxy-l,3,5-triazine (Pelizzetti et al. 1990) by dealkylation of the alkylamine side chains and hydrolytic displacement of the ring chlorine and amino groups (Figure 1.3). A comparison has been made between direct photolysis and nitrate-mediated hydroxyl radical reactions (Torrents et al. 1997) the rates of the latter were much greater under the conditions of this experiment, and the major difference in the products was the absence of ring hydroxylation with loss of chloride. 

In some cases enzymes can increase the rate of reaction by up to lO times. Carnell and Roberts (1997) have briefly discussed the scope of biotransformations that are used to make pharmaceuticals like penicillins, cephalosporines, erythromycin, lovastatin, cyclosporin, etc., and for food additives like citric acid, L-glutamate, and L-lysine. A very successful transformation by Zeneca has been that of benzene reduction, with Pseudomonase Putida, to dihydrocatechol and catechol the dihydro derivative is used to produce (+/-) pinitol. Fluorobenzene has been converted to fluorodihydrocatechol, an intermediate for pharmaceuticals. The highly stereo selective Bayer-Villeger reaction has been carried out with genetically engineered S-cerevisvae. Hydrolases have allowed enantioselective, and in some cases regioselective, hydrolysis of racemic esters. 

Decay Product, Daughter Product, Progeny—A new nuclide formed as a result of radioactive decay. A nuclide resulting from the radioactive transformation of a radionuclide, formed either directly or as the result of successive transformations in a radioactive series. A decay product (daughter product or progeny) may be either radioactive or stable. 

The first successful transformation of protoberberines to benzo[c]-phenanthridines was reported by Onda et al. (122,123). Irradiation of the enamines 200 and 195, the Hofmann degradation products of the corresponding protoberberines, in benzene afforded the initial photoproducts 201, which immediately rearranged to the tetrahydrobenzo[c]phenanthridines 202 in 70% yield (Scheme 37). Dehydrogenation of 202 afforded dihydro-chelerythrine (203) and dihydrosanguinarine (204), which were further oxidized with dichlorodicyanobenzoquinone (DDQ) to yield chelerythrine (205) and sanguinarine (206), respectively. 

Figure 5.6 Successful transformation of Aeromonas hydrophila raw spectra A acquired on day 27 to new locations a (relationship indicated with a dotted arrow) near an A. hydrophila day 1 library spectrum C using another day 27 bacterium, E. coli 1090 D as reference compared to its own day 1 E. coli 1090 Library spectrum L (relationship indicated with a solid arrow).

The above compounds contain both cyclic and acyclic P—C—N—B fragments. Complexes formed at the first stage of the reaction undergo a series of successive transformations depending on the electronic and structural characteristics of the substituents and the presence of a mobile hydrogen at heteroatoms. 

I. reactions of BENA with C-nucleophiles Russian researchers performed comprehensive studies on C,C-coupling reactions of terminal BENAs A with anions of nitro compounds (516, 517). This process enables one to assemble 3-substituted oximes from two different AN ((441) and 442). It should be noted that compound (442) must have the methyl group at the a-C atom necessary for generation of terminal BENA. Both nitroalkanes should be prepared for C,C-coupling, that is, AN (441) is transformed into the anion C by the reaction with DBU, while AN (442) is successively transformed into BENA A and nitrosoalkene B. The C,C-coupling reaction B + C is shown in Scheme 3.238. 

It is noted that two successive symmetry transformations of a system leave that system invariant. The product of the two operations is therefore also a symmetry operation of the system. The set of symmetry transformations is therefore closed under the law of successive transformations. An identity transformation that leaves the system unchanged clearly belongs to the set. It is not difficult to see that any given symmetry transformation has an inverse that also belongs to the set. Since successive transformations of the set obey the associative law it finally follows that the set constitutes a group. 

The use of a less reactive triethylgermyl derivative with a Pd(0)-phosphite catalyst achieves high yield germa-stannation of alkynes (Equation (127)).295 296 With this system, a propargylic alcohol as well as phenylacetylene is successfully transformed to the corresponding 1,2-adducts in good yield. 

The electrochemistry of these tris(phenolato)iron(III) complexes (142) reveals that, provided that the ortho and para positions of the pendent phenol arms are protected by sterically demanding groups such as a terf-butyl or methoxy group, three fully reversible one-electron oxidations are accessible in the potential range +0.1 to 0.8 V vs Fc+/Fc. These correspond to the successive transformation of one, two, and initially, three phenolato groups to the corresponding phenoxyls, Eq. (12). 

Now the expectation (mean) value of any physical observable (A(t)) = Yv Ap(t) can be calculated using Eq. (22) for the auto-correlation case (/ = /). For instance, A can be one of the relaxation observables for a spin system. Thus, the relaxation rate can be written as a linear combination of irreducible spectral densities and the coefficients of expansion are obtained by evaluating the double commutators for a specific spin-lattice interaction X in the auto-correlation case. In working out Gm x) [e.g., Eq. (21)], one can use successive transformations from the PAS to the (X, Y, Z) frame, and the closure property of the rotation group to rewrite D2mG(Qp ) so as to include the effects of local segmental, molecular, and/or collective motions for molecules in LC. The calculated irreducible spectral densities contain, therefore, all the frequency and orientational information pertaining to the studied molecular system. 

A bromoallene was demonstrated to act as an allyl dication equivalent. When treated with Pd(0) in an alcoholic solvent, an ei-hydroxybromoallene provides a mediumsized heterocycle (Scheme 16.101) [106]. The oxidative addition of a bromoallene to Pd(0) generates an allenylpalladium species, which is successively transformed into a Jt-allylpalladium complex through the attack of the hydroxyl group on the sp carbon followed by the protonation of the resulting Pd-carbene complex. Finally, the products are provided as a mixture of regioisomers by the nucleophilic attack of the external methanol. 

Foster, R. Kaplan, S. 2001. Creative Destruction Why Companies that are Built to Last Underperform the Market - and How to Successfully Transform Them. New York Doubleday. 

Griesbeck et al. successfully transformed w-phthalimidoalkanoates via PET with concomitant decarboxylation and C,C combination leading to medium- and large-ring compounds with yields in the range 60-80%. Thereby, the solvent system acetone/water and K2CO3 employed for the deprotonation of the carboxylic acids were crucial (Scheme 45) [66]. 

Hence, when neutron irradiation ceases, the exotic and extravagant nuclei undergo a chain of P decays to re-enter the valley of stability, that is, the region of stable nuclei which traces out a parabola in the N, Z) plane, by successive transformation of neutrons into protons. 

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