Preface to the Third Edition XIII Preface to the Second Edition XV Preface to the First Edition XVII 1 Introduction 1 2 Electronic and Vibrational Molecular States 9 2.1 Introduction 9 2.2 Molecular Schrödinger Equation 11 2.3 Born-Oppenheimer Separation 13 2.3.1 Born-Oppenheimer Approximation 15 2.3.2 Some Estimates 17 2.4 Electronic Structure Methods 18 2.4.1 The Hartree-Fock Equations 21 2.4.2 Density Functional Theory 23 2.5 Condensed Phase Approaches 24 2.5,1 Dielectric Continuum Model 25 2.5.2 Explicit Quantum-Classical Solvent Model 31 2.6
Preface to the Third Edition XIII Preface to the Second Edition XV Preface to the First Edition XVII 1 Introduction 1 2 Electronic and Vibrational Molecular States 9 2.1 Introduction 9 2.2 Molecular Schrödinger Equation 11 2.3 Born-Oppenheimer Separation 13 2.3.1 Born-Oppenheimer Approximation 15 2.3.2 Some Estimates 17 2.4 Electronic Structure Methods 18 2.4.1 The Hartree-Fock Equations 21 2.4.2 Density Functional Theory 23 2.5 Condensed Phase Approaches 24 2.5,1 Dielectric Continuum Model 25 2.5.2 Explicit Quantum-Classical Solvent Model 31 2.6
Linear absorption spectra of dye-semiconductor systems (perylene attached to nanostructured TiO2) are studied theoretically and experimentally. The systems show ultrafast photoinduced heterogeneous electron transfer (HET). By applying a time-dependent formulation of the absorbance, the theoretical analysis of the measured data is carried out. The respective electron-vibrational wave packet propagation fully accounts for the electronic coupling to the conduction band continuum of TiO2 and is based on a single-reaction-coordinate model (corresponding to a perylene in-plane C-C stretching vibration with a quantum energy of 1370 cm(-1)). By the insertion of different bridge-anchor groups, the electronic coupling responsible for HET is varied. The dye absorbance in a solvent and the trends in the line broadening of the vibrational progression due to the coupling to the conduction band continuum are reproduced for all investigated types of bridge-anchor groups. HET rates deduced from the calculations on the absorbance displaying line broadenings follow the qualitative trend obtained from transient absorption spectra.
The influence of an electron-vibrational coupling on the laser control of electron transport through a molecular wire that is attached to several electronic leads is investigated. These molecular vibrational modes induce an effective electron-electron interaction. In the regime where the wire electrons couple weakly to both the external leads and the vibrational modes, we derive within a Hartree-Fock approximation a nonlinear set of quantum kinetic equations. The quantum kinetic theory is then used to evaluate the laser driven, time-averaged electron current through the wire-leads contacts. This formalism is applied to two archetypical situations in the presence of electron-vibrational effects, namely, (i) the generation of a ratchet or pump current in a symmetrical molecule by a harmonic mixing field and (ii) the laser switching of the current through the molecule.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.