Dynamic Effects in Intramolecular Schmidt Reactions: Entropy, Electrostatic Drag, and Selectivity Prediction

Vibrationally Assisted Tunneling through the Bread of a Proton Sandwich─Connections to Dynamic Matching

Proton sandwiches are unusual nonclassical carbocations characterized by a five-center, four-electron bonding array which rapidly isomerize to lower energy isomers with three-center, two-electron bonding arrays via hydrogen migration transition states. These reactions are suspected to involve significant contributions from tunneling, even at relatively high temperatures, where tunneling effects are usually minimal. Machine-learning-accelerated ring-polymer, quasiclassical, and classical ab initio molecular dynamics simulations were used to investigate the effects of a flavor of dynamic matching that involves coupling of vibrational modes of the reactant to the transition structure mode with an imaginary frequency, and how quantum mechanical tunneling affects this coupling. These nonstatistical dynamic effects were quantified by analysis of momentum in the molecular dynamics simulations. We show the importance of momentum for reactivity with and without tunneling, how tunneling amplifies these benefits, and that vibrational modes can be leveraged to generate beneficial momentum.

Portable Models for Entropy Effects on Kinetic Selectivity

Differences in entropies of competing transition states can direct kinetic selectivity. Understanding and modeling such entropy differences at the molecular level is complicated by the fact that entropy is statistical in nature; i.e., it depends on multiple vibrational states of transition structures, the existence of multiple dynamically accessible pathways past these transition structures, and contributions from multiple transition structures differing in conformation/configuration. The difficulties associated with modeling each of these contributors are discussed here, along with possible solutions, all with an eye toward the development of portable qualitative models of use to experimentalists aiming to design reactions that make use of entropy to control kinetic selectivity.