The C−H activation reaction between Cp(PMe 3 ) 2 Re and ethylene results in kinetic selectivity for the Re-vinyl hydride I over the thermodynamically more stable Cp(PMe 3 ) 2 Re(η 2 -ethylene) πcomplex II. While transition-state and variational transition-state structures were located for individual pathways leading to I and II, DFT and CCSD(T) energies predict a large kinetic selectivity of 10 2 − 10 4 , which is incompatible with the experimental 10:1 ratio. DFT direct quasiclassical trajectories revealed that the transition states do not provide a qualitatively correct reaction mechanism or a quantitatively correct selectivity due to a nonstatistical σ-CH coordination intermediate that precedes the transition states for C−H activation and π coordination. Using metadynamics and quasiclassical direct dynamics, we show that trajectories for the reaction between Cp(PMe 3 ) 2 Re and ethylene result in direct formation of either the Revinyl hydride I or the π-complex II. Trajectories leading to the Re-vinyl hydride skip σ-coordination and do not require πcoordination. Consistent with experiments, trajectory selectivity provides a relatively small kinetic selectivity for the Re-vinyl hydride.
Key steps in the functionalization of an unactivated arene often involve its dihaptocoordination by a transition metal followed by insertion into the C-H bond. However, rarely are the η 2 -arene and aryl hydride species in measurable equilibrium. In this study, the benzene/phenyl hydride equilibrium is explored for the {WTp(NO)(PBu 3 )} (Bu = n-butyl; Tp = trispyrazoylborate) system as a function of temperature, solvent, ancillary ligand, and arene substituent. Both face-flip and ring-walk isomerizations are identified through spin-saturation exchange measurements, which
Recent experiments
have realized the Bose–Einstein condensation
of excitons, known as exciton condensation, in extended systems such
as bilayer graphene and van der Waals heterostructures. Here we computationally
demonstrate the beginnings of exciton condensation in multilayer,
molecular-scale van der Waals stacks composed of benzene subunits.
The populations of excitons, which are computed from the largest eigenvalue
of the particle-hole reduced density matrix (RDM) through advanced
variational RDM calculations, are shown to increase with the length
of the stack. The large eigenvalue indicates a nonclassical long-range
ordering of the excitons that can support the frictionless flow of
energy. Moreover, we use chemical substitutions and geometric modifications
to tune the extent of the condensation. Results suggest exciton condensation
in a potentially large family of molecular systems with applications
to energy-efficient transport.
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