Transition states rearrangement

The non-aldol aldol reaction of the isomeric epoxy silyl ethers has been reported to be controlled by the conformation of the transition states leading to an internal hydride shift. One isomer rearranges to the /1-silyloxy ketone whereas the other isomer gives a /I-elimination product. Substrates with substituents that favour formation of the chairlike transition state rearrange normally while those that do not undergo elimination (Scheme 59). 

The rate constant k for the second step of our hypothetical two-step process is relatively easy to express. Consider how a transition state rearranges to a set of product species Typically, one chemical bond of the transition state will lengthen as two parts of the transition state separate into the ultimate products. The lengthening of a chemical bond is part of a molecular motion known as a vibration, just like the vibrations considered for stable molecules in Chapters 12 and 14. Therefore, we assume that the transition state has some vibrational frequency v that connects the transition state and the ultimate products. (Like any polyatomic species, a transition state has other vibrations, but only one particular vibration represents the movement from the transition state to the products.) Understanding that a unimolecular rate constant like k has units of s (that is, seconds in the denominator), we submit that the rate constant k should be proportional to the transition state s vibrational frequency v (also units of s ) that promotes the formation of products. The variable k, called the transmission coefficient, is defined as the proportionality constant, yielding... 

A highly successful route to stereoisomers of substituted 3-cyclohexene-l-carboxylates runs via Ireland-Claisen rearrangements of silyl enolates of oj-vinyl lactones. The rearrangement proceeds stereospeaifically through the only possible boat-like transition state, in which the connecting carbon atoms come close enough (S. Danishefsky, 1980 see also section 4.8.3, M. Nakatsuka, 1990). 

Sigmatropic rearrangements are normally classified as concerted processes with relatively nonpolar transition states. However, the Fischer cyclization involves rearrangement of a charged intermediate and ring substituents have a significant effect on the rate of the rearrangement. The overall cyclization rate... 

Toth et al. have thoroughly studied the rearrangement their kinetic determinations suggest a general acid-catalyzed mechanism (Scheme 115) (1578). Some points remain unclear, however why is the intermediate (181) written as a transition state when it is known that a tetrahedral intermediate (181b or 181b ) could as well be postulated How does this... 

Dehydrohalogenation of alkyl halides (Sections 5 14-5 16) Strong bases cause a proton and a halide to be lost from adjacent carbons of an alkyl halide to yield an alkene Regioselectivity is in accord with the Zaitsev rule The order of halide reactivity is I > Br > Cl > F A concerted E2 reaction pathway is followed carbocations are not involved and rearrangements do not occur An anti coplanar arrangement of the proton being removed and the halide being lost characterizes the transition state... 

Step 2 The 7C complex rearranges to an organoborane Hydrogen migrates from boron to carbon carrying with it the two electrons m its bond to boron Development of the transition state for this process is shown m 2(a) and its transformation to the organoborane is shown m 2(b)... 

The transition state for the first step of the Claisen rearrangement bears much m common with the transition state for the Diels-Alder cycloaddition Both involve a con certed six electron reorganization... 

When fragmentation is accompanied by the formation of a new bond as well as by the breaking of an existing bond, a rearrangement process is involved. These will be even mass peaks when only C, H, and O are involved. The migrating atom is almost exclusively hydrogen six-membered cyclic transition states are most important. 

The advantage of starting with a ring of -1 members lies in the nature of the rearrangements, which proceed through cyclic transition states, so that the system never becomes open-chain — the carbon-carbon bond is broken only while the carbon-heteroatom bond is being made. 

Retardation by a factor of 1000 by use of benzene in place of ethanol in the rearrangement of (58) points to appreciable charge separation in the transition state. 

The basic chemical description of rare events can be written in terms of a set of phenomenological equations of motion for the time dependence of the populations of the reactant and product species [6-9]. Suppose that we are interested in the dynamics of a conformational rearrangement in a small peptide. The concentration of reactant states at time t is N-n(t), and the concentration of product states is N-pU). We assume that we can define the reactants and products as distinct macrostates that are separated by a transition state dividing surface. The transition state surface is typically the location of a significant energy barrier (see Fig. 1). 

These reactions will be discussed in more detail under the topic of 3,3-sigmatropic rearrangements in Chapter 11. For the present we simply want to focus on the fact that the reaction is stereospecific-, the -isomer gives one diastereomeric product whereas the related Z-isomer gives a different one. The stereochemical relationship between reactants and products can be explained if the reaction occurs through a chairlike transition state in... 

Although many overall rearrangements can be formulated as a series of 1,2-shifts, both isotopic tracer studies and con utational work have demonstrated foe involvement of other species. These are bridged ions in which hydride or alkyl groups are partially bound to two other carbons. Such structures can be transition states for hydride and alkyl-group shifts, but some evidence indicates that these structures can also be intermediates. 

These results indicate an energy profile for the 3-methyl-2-butyl cation to 2-methyl-2-butyl cation rearrangement in which the open secondary cations are transition states, rather than intermediates, with the secondary cations represented as methyl-bridged species (comer-protonated cyclopropanes) (Fig. 5.10). 

Fig. 5.11. Contrasting potential energy diagrams for stable and unstable bridged norbomyl cation. (A) Bridged ion is a transition state for rearrangement between classical structures. (B) Bridged ion is an intermediate in rearrangement of one classical structure to the other. (C) Bridged nonclassical ion is the only stable structure.

Even though the rearrangements suggest that discrete carbocation intermediates are involved, these reactions frequently show kinetics consistent with the presence of at least two hydrogen chloride molecules in the rate-determining transition state. A termolecular mechanism in which the second Itydrogen chloride molecule assists in the ionization of the electrophile has been suggested. ... 

The reaction of phenyllithium and alfyl chloride labeled with C reveals that allylic rearrangement occurs. About three-fourths of the product results from bond formation at C-3 rather than C-1. This can be accounted for by a cyclic transition state. ... 

The rearrangement of the simplest possible case, 1,5-hexadiene, has been studied using deuterium labeling. The activation enthalpy is 33.5kcal/mol, and the entropy of activation is — 13.8eu. The substantially negative entropy reflects the formation of the cyclic transition state. 

---