Accounting for Diradical Character through DFT. The Case of Vinyl Allene Oxide Rearrangement

On the rearrangements of biologically-relevant vinyl allene oxides to cis-cyclopentenones, ketols, and Favorskii-type carboxylic acids

In addition to stereodefined cis-cyclopentenones, the rearrangement of naturally-occurring vinyl allene oxides can provide ketols, cyclopropylcarbinols, and Favorskii-type bis-(Z)-but-2-en-1-yl acetic acids. These processes have been studied by DFT computations using (Z)-but-1-en-1-yl allene oxides as model systems. Prior studies on the stepwise cascade process starting from (Z)-but-1-en-1-yl allene oxides established as key steps the ring opening of the oxirane to give oxidopentadienyl biradicals, and their isomerization through formation of alkenylcyclopropanone intermediates prior to the conrotatory electrocyclic ring closure to cis-configured cyclopentenones. Under neutral or under acidic conditions, the corresponding ketols and cyclopropylcarbinols have been computationally characterized as resulting from SN2, SN1 and SN1'-type processes, showing that the rearrangement of vinyl allene oxides is pH-dependent. Moreover, stereoconvergent base-induced Favorskii-type rearrangements to provide bis-(Z)-but-1-en-1-yl substituted acetic acids have also been justified. Since the model system captures the structural features of the vinyl allene oxides of biological relevance, our computations provide the most comprehensive overview of the complex reactivity of these natural species.

Mechanism of Rhodium(III)-Catalyzed C-H Activation/Annulation of Aromatic Amide with α-Allenol: A Computational Study

With the help of DFT calculations, the reaction mechanisms of the rhodium(III)-catalyzed C-H activation/annulation between aromatic amide and α-allenol leading to the formation of isoindolinone have been theoretically investigated. Our calculated results show that the catalytic cycle consists of four stages: N-H deprotonation and C-H activation (Stage I), allene insertion, rearrangement and isomerization (Stage II), β-H elimination and enol-keto tautomerism (Stage III), and catalyst regeneration resulting in the five-membered ring product (Stage IV). For stage IV, besides the reaction paths proposed by the experimentalists, i.e., the insertion and reductive elimination (labeled as path a) and the reductive elimination and hydroamination (labeled as path b), an alternative path which involves C-N and C-H reductive eliminations (labeled as path c) was proposed and examined. The computational results show that the newly established path c is more energetically favorable than the reaction paths proposed by the experimentalists (paths a and b). The allene (non-terminal double bond) insertion step contributes to the rate-determining step with an overall activation free energy of 24.6 kcal/mol. Our study is beneficial for a better comprehension of the reaction mechanisms and provides a significant suggestion for further development of similar reactions.

Rearrangement of vinyl allene oxide geometric isomers to cyclopentenones. Further computational insights with biologically relevant model systems

Pathways for the rearrangement of the E and Z isomers of allyl- and methyl-substituted vinyl allene oxides to stereodefined cyclopentenones have been studied by DFT computations. Regardless of the reactant geometry, cis-configured cyclopentenones are found to be formed in a stepwise cascade comprising as key steps the ring opening of the oxirane to give an oxidopentadienyl diradical, its isomerization, and electrocyclization. An allyl substituent at the C_sp³ atom of the starting vinyl allene oxide induces opposite effects on the activation energies for ring opening: a decrease owing to assistance by homoconjugation for the out motion and an increase due to the stereoelectronic stabilization of the reactant. As a result, allyl- and methyl-substituted vinyl allene oxides exhibit comparable activation energies. Only model systems with crotyl substituents afford lower activation energies than the methyl counterparts due to the additional stabilization of the forming charge deficiency at a secondary carbon by homoconjugation. Moreover, upon homoconjugative interaction reactants of Z geometry are predicted to undergo cyclization more readily than the E isomers. The results with Z-crotyl substituent are congruent with the spontaneous rearrangement of natural vinyl allene oxide derived from α-linolenic acid to a racemic cis-cyclopentenone (12-oxo-PDA).

Cycloreversion of the CO2 trimer: a paradigmatic pseudopericyclic [2 + 2 + 2] cycloaddition reaction

Very recently, the CO₂ trimer has been experimentally synthesized, isolated and characterized. This process opens new ways for the withdrawal and storage of this greenhouse gas. The trimer is reported to be stable up to -40 °C, with a lifetime of about 40 min at this temperature. At these or under harsher thermal conditions it reverts to the three monomers. The mechanism of this reaction has been theoretically studied and the electronic character of the associated transition state has been analyzed from a variety of perspectives (energetic, magnetic, electron localization and delocalization functions) which indicate that it has paradigmatic pseudopericyclic character. To allow for a comparative study, the isoelectronic fragmentations of cyclohexane into three units of ethylene and of benzene into three units of acetylene have been included in this work. The study of a similar series of formally forbidden-four-centered [2 + 2] cycloreversions confirmed the pseudopericyclic nature of these reactions when the CO₂ dimer or trimer is involved.

Investigation into 9(S)-HPODE-derived allene oxide to cyclopentenone cyclization mechanism via diradical oxyallyl intermediates

The cyclopentane core is ubiquitous among a large number of biologically relevant natural products. Cyclopentenones have been shown to be versatile intermediates for the stereoselective preparation of highly substituted cyclopentane derivatives. Allene oxides are oxygenated fatty acids which are involved in the pathways of cyclopentenone biosynthesis in plants and marine invertebrates; however, their cyclization behavior is not well understood. Recent work by Brash and co-workers (J. Biol. Chem., 2013, 288, 20797) revealed an unusual cyclization property of the 9(S)-HPODE-derived allene oxides: the previously unreported 10Z-isomer cyclizes to a cis-dialkylcyclopentenone in hexane/isopropyl alcohol (100 : 3, v/v), but the known 10E-isomer does not yield cis-cyclopentenone under the same conditions. The mechanism for cyclization has been investigated for unsubstituted and methyl substituted vinyl allene oxide using a variety of methods including CASSCF, ωB97xD, and CCSD(T) and basis sets up to cc-pVTZ. The lowest energy pathway proceeds via homolytic cleavage of the epoxide ring, formation of an oxyallyl diradical, which closes readily to a cyclopropanone intermediate. The cyclopropanone opens to the requisite oxyallyl which closes to the experimentally observed product, cis-cyclopentenone. The calculations show that the open shell, diradical pathway is lower in energy than the closed shell reactions of allene oxide to cyclopropanone, and cyclopropanone to cyclopentenone.