No abstract

This review describes applications of quantum chemical calculations in the field of terpene biosynthesis, with a focus on insights into the mechanisms of terpene-forming carbocation rearrangements arising from theoretical studies.

Aquatolide has been reisolated from its natural source, and its structure has been revised on the basis of quantum-chemical NMR calculations, extensive experimental NMR analysis, and crystallography.

In this tutorial review, structures encountered in carbocation cascade polycyclization reactions leading to terpene natural products are surveyed. The nature of delocalization in these carbocations is discussed in detail. For select cases, the ability of functional groups in enzyme active sites to modulate this delocalization is discussed. In addition to carbocation intermediates, cationic transition state structures are also described.

Quantum chemical calculations on cyclization mechanisms for several sesquiterpene families proposed to be closely related to each other in a biogenic sense (the bisabolene, curcumene, acoradiene, zizaene (zizaene, isozizaene, epi-zizaene, and epi-isozizaene), cedrene (alpha/beta-cedrenes and 7-epi-alpha/beta-cedrenes), duprezianene, and sesquithuriferol families) are described. On the basis of the results of these calculations, we suggest that the conformation of the bisabolyl cation attainable in an enzyme active site is a primary determinant of the structure and relative stereochemistry of the sesquiterpenes formed. We also suggest that substantial conformational changes of initially formed conformers of the bisabolyl cation are necessary in order to form zizaene and epi-cedrene. Given that the productive conformation of the bisabolyl cation does not necessarily reflect the original orientation of farnesyl diphosphate bound in the corresponding enzyme active site, we conclude that folding of farnesyl diphosphate alone does not always dictate the structure and relative stereochemistry of cyclization products. In addition, the potential roles of dynamic matching in determining product distributions and enzyme-promoted formation of secondary carbocations are discussed.

In this article, we describe studies, using quantum chemical computations, on possible polycyclization pathways of the farnesyl cation leading to the complex sesquiterpene pentalenene. Two distinct pathways to pentalenene with similar activation barriers are described, each differing from previous mechanistic proposals, and each involving unusual and unexpected intermediates. Direct deprotonation of intermediates on these pathways leads to sesquiterpene byproducts, such as humulene, protoilludene, and asteriscadiene, supporting the notion that a key function of pentalenene synthase, the enzyme that produces pentalenene in Nature, is to regulate the timing and location of proton removal. The implications of the computational results for experimental studies on pentalenene synthase are discussed.

Selectivity in chemical reactions that form complex molecular architectures from simpler precursors is usually rationalized by comparing competing transition-state structures that lead to different possible products. Herein we describe a system for which a single transition-state structure leads to the formation of many isomeric products via pathways that feature multiple sequential bifurcations. The reaction network described connects the pimar-15-en-8-yl cation to miltiradiene, a tricyclic diterpene natural product, and isomers via cyclizations and/or rearrangements. The results suggest that the selectivity of the reaction is controlled by (post-transition-state) dynamic effects, that is, how the carbocation structure changes in response to the distribution of energy in its vibrational modes. The inherent dynamical effects revealed herein (characterized through quasiclassical direct dynamics calculations using density functional theory) have implications not only for the general principles of selectivity prediction in systems with complex potential energy surfaces, but also for the mechanisms of terpene synthase enzymes and their evolution. These findings redefine the challenges faced by nature in controlling the biosynthesis of complex natural products.

Terpenes comprise a class of natural products that includes molecules with thousands of distinct structurally and stereochemically complex molecular architectures. The core hydrocarbon frameworks of these molecules are constructed via carbocation rearrangements promoted by terpene synthase (cyclase) enzymes. Although many mechanistic details for such reactions have been uncovered, the factors that control which carbocation intermediates and transition-state structures form are not well understood. Here we show that rearrangement pathways that pass through particular transition-state structures can bifurcate after the transition state. The resulting pathways lead to terpenes with distinctly different skeletons from each other. Although these types of bifurcating pathways have been described previously for some small molecules, the possibility that they may have an important role in the production of complex molecules in nature has, to our knowledge, not previously been considered.