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Theoretical Chemistry for Electronic Excited States

Theoretical Chemistry for Electronic Excited States

Michael A Robb

(2018)

Additional Information

Abstract

Over the past few decades, experimental excited state chemistry has moved into the femtochemistry era, where time resolution is short enough to resolve nuclear dynamics. Recently, the time resolution has moved into the attosecond domain, where electronic motion can be resolved as well. Theoretical chemistry is becoming an essential partner in such experimental investigations; not only for the interpretation of the results, but also to suggest new experiments.

This book provides an integrated approach. The three main facets of excited-state theoretical chemistry; namely, mechanism, which focuses on the shape of the potential surface along the reaction path, multi-state electronic structure methods, and non-adiabatic dynamics, have been brought together into one volume. Theoretical Chemistry for Electronic Excited States is aimed at both theorists and experimentalists, involved in theoretical chemistry, in electronic structure computations and in molecular dynamics. The book is intended to provide both with the knowledge and understanding to discover ways to work together more closely through its unified approach.


Table of Contents

Section Title Page Action Price
Cover Cover
Preface v
Contents xi
Chapter 1 Introduction and Motivation 1
1.1 The Chemical Nature of Electronic Excited States 2
1.2 Chemical Reactivity in Electronic Excited States 9
1.3 The Main Mechanism for Excited State Photochemical Transformations 22
1.4 The Essential Features of Excited State Computational Procedures 24
1.4.1 Electronic Structure Computations Within the Algebraic Approximation 24
1.4.2 Gradients, Second Derivatives, Molecular Structure and Dynamics 27
1.4.3 Perturbation Theory Within the Algebraic Approximation 28
References 30
Chapter 2 Conceptual Development Centred on the Shapes and Topological Features of Potential Surfaces 34
2.1 Excited States Are VB Isomers of Ground States 35
2.2 The Mechanism of Radiationless Decay 40
2.3 Theory of Conical Intersections 44
2.3.1 The ''Shape'' of Conical Intersections 44
2.3.2 Understanding Conical Intersections Using Valence Bond Theory 56
2.3.3 What Happens When One Does a Conical Intersection Circuit in the Branching Plane? 61
2.3.4 Conical Intersections in n – 1 Directions: For Example Singlet–Triplet Crossings 71
2.3.5 More Advanced Treatment of the Extended Seam of a Conical Intersection 78
2.4 Summary 84
References 86
Chapter 3 Electronic Structure Methods for the Computation of Electronic States 90
3.1 How Is an Electronic Excited State FormulatedWithin the Orbital-based Methods Used in the Ground State? 91
3.2 The Conceptual Aspects of Electron Correlation for Electronic Excited States 92
3.2.1 Multi-dimensional Perturbation Theory 93
3.2.2 Three Different Correlation Effects in Excited States 102
3.2.3 Effective Hamiltonians for Singly IonizedStates and for Single Excitations from a Closed Shell 103
3.2.4 Combining Force Field Methods with Electronic Structure Computations 106
3.3 Electronic Structure Methods for Excited State Computation 110
3.3.1 Methods with max nh = 1, max np = 1: Complete Active Space SCF Method 110
3.3.2 Methods with (max nh = 2, max np = 2): CASPT2 and RPA/TD-DFT 117
3.3.3 Methods Based on Space of Particle Hole Excitations 118
3.3.4 Nuclear Gradients and Hessians 119
3.3.5 Designing an Active Space 121
3.4 Non-stationary States and Electron Dynamics:Solving the Time-dependent SchrodingerEquation for Electronic Motion (Electron Dynamics) 127
3.5 Summary and Conclusions 131
References 132
Chapter 4 The Dynamics of Nuclear Motion 134
4.1 Theoretical and Conceptual Introduction 134
4.2 Quantum Dynamics with Moving Gaussians 139
4.3 Electron Dynamics Coupled to Nuclear Motion (the Ehrenfest Method and Beyond) 145
4.4 Semi-classical Dynamics with Surface Hopping 148
4.5 Summary 151
References 151
Chapter 5 Applications and Case Studies in Nonadiabatic Chemistry 153
5.1 Introductory Remarks 153
5.2 Photochromism, Photostabilizers and Photochemical Switches 157
5.2.1 Ultrafast Internal Conversion of Azulene 157
5.2.2 Dihydroazulene (DHA)/Vinylheptafulvene (VHF) Photochromism 159
5.2.3 Diarylethene Photochromism 162
5.2.4 Excited State Intramolecular Proton Transfer in o-hydroxyphenyl-(1,3,5)-triazine 167
5.2.5 Photostability of an Excited Cytosine–Guanine Base Pair in DNA 170
5.3 Cis–Trans Isomerization 174
5.3.1 Photo-activation of the Photoactive Yellow Protein 174
5.4 Vibrational Control of Photochemistry on an Extended Seam 179
5.4.1 Fulvene Dynamics on an Extended Seam 180
5.4.2 A Model Cyanine Dye 183
5.4.3 The Extended Seam Benzene Conical Intersection 187
5.5 Photochemistry Involving Lone Pairs (n–π* States) 189
5.5.1 Photochemistry of Formaldehyde 190
5.6 Energy Transfer (Charge Transfer vs. Charge Migration) 194
5.6.1 Charge Transfer in Bis(hydrazine) RadicalCations and in Bis(methylene) Adamantyl Radical Cation (BMA) 194
5.6.2 Electron Dynamics (Charge Migration) in BMA[5,5] 201
5.7 Mapping the ''Complete'' Conical Intersection Seams in Benzene 203
5.8 Summary 208
References 209
Chapter 6 Conclusion and Future Developments 215
References 220
Subject Index 221