Description

Book Synopsis

It has long been recognized that metal spin states play a central role in the reactivity of important biomolecules, in industrial catalysis and in spin crossover compounds. As the fields of inorganic chemistry and catalysis move towards the use of cheap, non-toxic first row transition metals, it is essential to understand the important role of spin states in influencing molecular structure, bonding and reactivity.

Spin States in Biochemistry and Inorganic Chemistry provides a complete picture on the importance of spin states for reactivity in biochemistry and inorganic chemistry, presenting both theoretical and experimental perspectives. The successes and pitfalls of theoretical methods such as DFT, ligand-field theory and coupled cluster theory are discussed, and these methods are applied in studies throughout the book. Important spectroscopic techniques to determine spin states in transition metal complexes and proteins are explained, and the use of NMR for the analy

Trade Review
"Spin States in Biochemistry and Inorganic Chemistry: Influence on Structure and Reactivity, edited by Marcel Swart and Miquel Costas is impressive testimony to the advances in theory, computations, and experiment, especially regarding transition metals in recent years, and a revealing look at how much remains to be developed....The authors provide detailed comparison of various computational methods with each other and with experimental data in many cases. Each chapter is an extensively referenced focused review article. Chapters 1-3 emphasize computational methods....No single monograph can encompass a topic as broad as the title of this book, which is almost the entire chemistry of the periodic table. However, for the selected topics, the volume provides a very valuable concise snapshot of the field.Computational chemistry for compounds of CHNO have advanced to the point that many experimentalists can routinely apply standard methods in Gaussian and other such programs with confidence, guided only by the state of the art described in other publications. This book shows that in spite of enormous effort related to transition metal energy states and spin states, even the expert computational chemists need to proceed with caution and compare many functionals"- (Gareth Eaton- December 2016)

Table of Contents

About the Editors xv

List of Contributors xvii

Foreword xxi

Acknowledgments xxiii

1 General Introduction to Spin States 1
Marcel Swart and Miquel Costas

1.1 Introduction 1

1.2 Experimental Chemistry: Reactivity, Synthesis and Spectroscopy 2

1.3 Computational Chemistry: Quantum Chemistry and Basis Sets 4

2 Application of Density Functional and Density Functional Based Ligand Field Theory to Spin States 7
Claude Daul, Matija Zlatar, Maja Gruden-Pavlovic and Marcel Swart

2.1 Introduction 7

2.2 What Is the Problem with Theory? 9

2.2.1 Density Functional Theory 9

2.2.2 LF Theory: Bridging the Gap Between Experimental and Computational Coordination Chemistry 11

2.3 Validation and Application Studies 15

2.3.1 Use of OPBE, SSB-D and S12g Density Functionals for Spin-State Splittings 17

2.3.2 Application of LF-DFT 21

2.4 Concluding Remarks 25

3 Ab Initio Wavefunction Approaches to Spin States 35
Carmen Sousa and Coen de Graaf

3.1 Introduction and Scope 35

3.2 Wavefunction-Based Methods for Spin States 35

3.2.1 Single Reference Methods 36

3.2.2 Multireference Methods 37

3.2.3 MR Perturbation Theory 39

3.2.4 Variational Approaches 40

3.2.5 Density Matrix Renormalization Group Theory 40

3.3 Spin Crossover 41

3.3.1 Choice of Active Space and Basis Set 41

3.3.2 The HS–LS Energy Difference 43

3.3.3 Light-Induced Excited Spin State Trapping (LIESST) 45

3.3.4 Spin Crossover in Other Metals 47

3.4 Magnetic Coupling 47

3.5 Spin States in Biochemical and Biomimetic Systems 50

3.6 Two-State Reactivity 52

3.7 Concluding Remarks 52

4 Experimental Techniques for Determining Spin States 59
Carole Duboc and Marcello Gennari

4.1 Introduction 59

4.2 Magnetic Measurements 61

4.2.1 g-Anisotropy and Zero-Field Splitting (zfs) 64

4.2.2 Unquenched Orbital Moment in the Ground State 64

4.2.3 Exchange Interactions 64

4.2.4 Spin Transitions and Spin Crossover 66

4.3 EPR Spectroscopy 66

4.4 Mössbauer Spectroscopy 70

4.5 X-ray Spectroscopic Techniques 74

4.6 NMR Spectroscopy 77

4.7 Other Techniques 80

4.A Appendix 81

4.A.1 Theoretical Background 81

4.A.2 List of Symbols 82

5 Molecular Discovery in Spin Crossover 85
Robert J. Deeth

5.1 Introduction 85

5.2 Theoretical Background 85

5.2.1 Spin Transition Curves 88

5.2.2 Light-Induced Excited Spin State Trapping 89

5.3 Thermal SCO Systems: Fe(II) 90

5.4 SCO in Non-d6 Systems 93

5.5 Computational Methods 95

5.6 Outlook 98

6 Multiple Spin-State Scenarios in Organometallic Reactivity 103
Wojciech I. Dzik, Wesley Böhmer and Bas de Bruin

6.1 Introduction 103

6.2 "Spin-Forbidden" Reactions and Two-State Reactivity 104

6.3 Spin-State Changes in Transition Metal Complexes 107

6.3.1 Influence of the Spin State on the Kinetics of Ligand Exchange 108

6.3.2 Stoichiometric Bond Making and Breaking Reactions 109

6.3.3 Spin-State Situations Involving Redox-Active Ligands 115

6.4 Spin-State Changes in Catalysis 119

6.4.1 Catalytic (Cyclo)oligomerizations 119

6.4.2 Phillips Cr(II)/SiO2 Catalyst 121

6.4.3 SNS–CrCl3 Catalyst 123

6.5 Concluding Remarks 125

7 Principles and Prospects of Spin-States Reactivity in Chemistry and Bioinorganic Chemistry 131
Dandamudi Usharani, Binju Wang, Dina A. Sharon and Sason Shaik

7.1 Introduction 131

7.2 Spin-States Reactivity 132

7.2.1 Two-State and Multi-State Reactivity 133

7.2.2 Origins of Spin-Selective Reactivity: Exchange-Enhanced Reactivity and Orbital Selection Rules 137

7.2.3 Considerations of Exchange-Enhanced Reactivity versus Orbital-Controlled Reactivity 140

7.2.4 Consideration of Spin-State Selectivity in H-Abstraction: The Power of EER 142

7.2.5 The Origins of Mechanistic Selection – Why Are C–H Hydroxylations Stepwise Processes? 146

7.3 Prospects of Two-State Reactivity and Multi-State Reactivity 148

7.3.1 Probing Spin-State Reactivity 148

7.3.2 Are Spin Inversion Probabilities Useful for Analyzing TSR? 150

7.4 Concluding Remarks 151

8 Multiple Spin-State Scenarios in Gas-Phase Reactions 157
Jana Roithová

8.1 Introduction 157

8.2 Experimental Methods for the Investigation of Metal-Ion Reactions 158

8.3 Multiple State Reactivity: Reactions of Metal Cations with Methane 160

8.4 Effect of the Oxidation State: Reactions of Metal Hydride Cations with Methane 163

8.5 Two-State Reactivity: Reactions of Metal Oxide Cations 164

8.6 Effect of Ligands 171

8.7 Effect of Noninnocent Ligands 174

8.8 Concluding Remarks 177

9 Catalytic Function and Mechanism of Heme and Nonheme Iron(IV)–Oxo Complexes in Nature 185
Matthew G. Quesne, Abayomi S. Faponle, David P. Goldberg and Sam P. de Visser

9.1 Introduction 185

9.2 Cytochrome P450 Enzymes 186

9.2.1 Importance of Cytochrome P450 Enzymes 187

9.2.2 P450 Activation of Long-Chain Fatty Acids 188

9.2.3 Heme Monooxygenases and Peroxygenases 188

9.2.4 Catalytic Cycle of Cytochrome P450 Enzymes 188

9.3 Nonheme Iron Dioxygenases 190

9.3.1 Cysteine Dioxygenase 191

9.3.2 AlkB Repair Enzymes 192

9.3.3 Nonheme Iron Halogenases 194

9.4 Conclusions 197

9.5 Acknowledgments 197

10 Terminal Metal–Oxo Species with Unusual Spin States 203
Sarah A. Cook, David C. Lacy and Andy S. Borovik

10.1 Introduction 203

10.2 Bonding 204

10.2.1 Bonding Considerations: Tetragonal Symmetry 204

10.2.2 Bonding Considerations: Trigonal Symmetry 205

10.2.3 Methods of Characterization 206

10.3 Case Studies 206

10.3.1 Iron–Oxo Chemistry 206

10.3.2 Manganese–Oxo Chemistry 212

10.3.3 Cautionary Tales: Late Transition Metal Oxido Complexes 217

10.3.4 Effects of Redox Inactive Metal Ions 217

10.3.5 Metal–Oxyl Complexes 218

10.4 Reactivity 218

10.4.1 General Concepts: Proton versus Electron Transfer 218

10.4.2 Spin State and Reactivity 220

10.5 Summary 220

11 Multiple Spin Scenarios in Transition-Metal Complexes Involving Redox Non-Innocent Ligands 229
Florian Heims and Kallol Ray

11.1 Introduction 229

11.2 Survey of Non-Innocent Ligands 231

11.3 Identification of Non-Innocent Ligands 232

11.3.1 X-ray Crystallography 232

11.3.2 EPR Spectroscopy 234

11.3.3 Mössbauer Spectroscopy 235

11.3.4 XAS Spectroscopy 236

11.4 Selected Examples of Biological and Chemical Systems Involving Non-Innocent Ligands 237

11.4.1 Copper–Radical Interaction 237

11.4.2 Iron–Radical Interaction 246

11.5 Concluding Remarks 252

12 Molecular Magnetism 263
Guillem Aromí, Patrick Gamez and Olivier Roubeau

12.1 Introduction 263

12.2 Molecular Magnetism: Motivations, Early Achievements and Foundations 264

12.3 Molecular Nanomagnets (MNM) 265

12.3.1 Single-Molecule Magnets 266

12.3.2 Single-Chain Magnets (SCM) 268

12.3.3 Single-Ion Magnets (SIM) 271

12.4 Switchable Systems 273

12.4.1 Spin Crossover (SCO) 273

12.4.2 Valence Tautomerism (VT) 273

12.4.3 Charge Transfer (CT) 275

12.4.4 Light-Driven Ligand-Induced Spin Change (LD-LISC) 276

12.4.5 Photoswitching (PS) Through Intermetallic CT 277

12.5 Molecular-Based Magnetic Refrigerants 278

12.5.1 The Magneto-Caloric Effect, Its Experimental Determination and Key Parameters 278

12.5.2 Molecular to Extended Framework Coolers Towards Applications 280

12.6 Quantum Manipulation of the Electronic Spin for Quantum Computing 282

12.6.1 Organic Radicals 283

12.6.2 Transition Metal Clusters 284

12.6.3 Lanthanides as Realization of Qubits 285

12.6.4 Engineering of Molecular Quantum Gates with Lanthanide Qubits 285

12.7 Perspectives Toward Applications and Concluding Remarks 287

13 Electronic Structure, Bonding, Spin Coupling, and Energetics of Polynuclear Iron–Sulfur Clusters – A Broken Symmetry Density Functional Theory Perspective 297
Kathrin H. Hopmann, Vladimir Pelmenschikov, Wen-Ge Han Du and Louis Noodleman

13.1 Introduction 297

13.2 Iron–Sulfur Coordination: Geometric and Electronic Structure 298

13.3 Spin Polarization Splitting and the Inverted Level Scheme 300

13.4 Spin Coupling and the Broken Symmetry Method 300

13.5 Electron Localization and Delocalization 301

13.6 Polynuclear Systems – Competing Heisenberg Interactions and Spin-Dependent Delocalization 303

13.7 Preamble to Three Major Topics: Iron–Sulfur–Nitrosyls, Adenosine-5'-Phosphosulfate Reductase, and the Proximal Cluster of Membrane-Bound [NiFe]-Hydrogenase 303

13.7.1 Nonheme Iron Nitrosyl Complexes 303

13.7.2 Adenosine-5'-Phosphosulfate Reductase 310

13.7.3 Proximal Cluster of O2-Tolerant Membrane-Bound [NiFe]-Hydrogenase in Three Redox States 315

13.8 Concluding Remarks 318

13.9 Acknowledgments 319

14 Environment Effects on Spin States, Properties, and Dynamics from Multi-level QM/MM Studies 327
Alexander Petrenko and Matthias Stein

14.1 Introduction 327

14.1.1 Environmental Effects 328

14.1.2 Hybrid QM/MM Embedding Schemes 329

14.2 The Quantum Spin Hamiltonian – Linking Theory and Experiment 332

14.3 The Solvent as an Environment 335

14.3.1 Fourier Transform Infrared Spectroscopy 336

14.3.2 Nuclear Magnetic Resonance 336

14.3.3 Electron Paramagnetic Resonance 336

14.4 Effect of Different Levels of QM and MM Treatment 338

14.4.1 Convergence and Caveats at the QM Level 338

14.4.2 Accuracy of the MM Part 341

14.4.3 QM versus QM/MM Methods 341

14.5 Illustrative Bioinorganic Examples 343

14.5.1 Cytochrome P450 343

14.5.2 Hydrogenase Enzymes 349

14.5.3 Photosystem II and the Effect of QM Size 354

14.6 From Static Spin-State Properties to Dynamics and Kinetics of Electron Transfer 357

14.7 Final Remarks and Conclusions 359

14.8 Acknowledgments 362

15 High-Spin and Low-Spin States in {FeNO}7, FeIV=O, and FeIII–OOH Complexes and Their Correlations to Reactivity 369
Edward I. Solomon, Kyle D. Sutherlin and Martin Srnec

15.1 Introduction 369

15.2 High- and Low-Spin {FeNO}7 Complexes: Correlations to O2 Activation 372

15.2.1 Spectroscopic Definition of the Electronic Structure of High-Spin {FeNO}7 372

15.2.2 Computational Studies of S = 3/2 {FeNO}7 Complexes and Related {FeO2}8 Complexes 375

15.2.3 Extension to IPNS and HPPD: Implications for Reactivity 377

15.2.4 Correlation to {FeNO}7 S = 1/2 385

15.3 Low-Spin (S = 1) and High-Spin (S = 2) FeIV=O Complexes 386

15.3.1 FeIV=O S = 1 Complexes: π* FMO 386

15.3.2 FeIV=O S = 2 Sites: π* and σ* FMOs 390

15.3.3 Contributions of FMOs to Reactivity 392

15.4 Low-Spin (S = 1/2) and High-Spin (S = 5/2) FeIII–OOH Complexes 396

15.4.1 Spin State Dependence of O–O Bond Homolysis 396

15.4.2 FeIII–OOH S = 1/2 Reactivity: ABLM 398

15.4.3 FeIII–OOH Spin State-Dependent Reactivity: FMOs 399

15.5 Concluding Remarks 401

15.6 Acknowledgments 402

16 NMR Analysis of Spin Densities 409
Kara L. Bren

16.1 Introduction and Scope 409

16.2 Spin Density Distribution in Transition Metal Complexes 410

16.3 NMR of Paramagnetic Molecules 412

16.3.1 Chemical Shifts 413

16.3.2 Relaxation Rates 414

16.4 Analysis of Spin Densities by NMR 416

16.4.1 Factoring Contributions to Hyperfine Shifts 416

16.4.2 Relaxation Properties and Spin Density 418

16.4.3 DFT Approaches to Analyzing Hyperfine Shifts 419

16.4.4 Natural Bond Orbital Analysis 420

16.4.5 Application and Practicalities 421

16.5 Probing Spin Densities in Paramagnetic Metalloproteins 422

16.5.1 Heme Proteins 422

16.5.2 Iron-Sulfur Proteins 425

16.5.3 Copper Proteins 427

16.6 Conclusions and Outlook 429

17 Summary and Outlook 435
Miquel Costas and Marcel Swart

17.1 Summary 435

17.2 Outlook 436

Index 439

Spin States in Biochemistry and Inorganic Chemistry

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      View other formats and editions of Spin States in Biochemistry and Inorganic Chemistry by Marcel Swart

      Publisher: John Wiley & Sons Inc
      Publication Date: 1/11/2015 12:12:00 AM
      ISBN13: 9781118898314, 978-1118898314
      ISBN10: 1118898311

      Description

      Book Synopsis

      It has long been recognized that metal spin states play a central role in the reactivity of important biomolecules, in industrial catalysis and in spin crossover compounds. As the fields of inorganic chemistry and catalysis move towards the use of cheap, non-toxic first row transition metals, it is essential to understand the important role of spin states in influencing molecular structure, bonding and reactivity.

      Spin States in Biochemistry and Inorganic Chemistry provides a complete picture on the importance of spin states for reactivity in biochemistry and inorganic chemistry, presenting both theoretical and experimental perspectives. The successes and pitfalls of theoretical methods such as DFT, ligand-field theory and coupled cluster theory are discussed, and these methods are applied in studies throughout the book. Important spectroscopic techniques to determine spin states in transition metal complexes and proteins are explained, and the use of NMR for the analy

      Trade Review
      "Spin States in Biochemistry and Inorganic Chemistry: Influence on Structure and Reactivity, edited by Marcel Swart and Miquel Costas is impressive testimony to the advances in theory, computations, and experiment, especially regarding transition metals in recent years, and a revealing look at how much remains to be developed....The authors provide detailed comparison of various computational methods with each other and with experimental data in many cases. Each chapter is an extensively referenced focused review article. Chapters 1-3 emphasize computational methods....No single monograph can encompass a topic as broad as the title of this book, which is almost the entire chemistry of the periodic table. However, for the selected topics, the volume provides a very valuable concise snapshot of the field.Computational chemistry for compounds of CHNO have advanced to the point that many experimentalists can routinely apply standard methods in Gaussian and other such programs with confidence, guided only by the state of the art described in other publications. This book shows that in spite of enormous effort related to transition metal energy states and spin states, even the expert computational chemists need to proceed with caution and compare many functionals"- (Gareth Eaton- December 2016)

      Table of Contents

      About the Editors xv

      List of Contributors xvii

      Foreword xxi

      Acknowledgments xxiii

      1 General Introduction to Spin States 1
      Marcel Swart and Miquel Costas

      1.1 Introduction 1

      1.2 Experimental Chemistry: Reactivity, Synthesis and Spectroscopy 2

      1.3 Computational Chemistry: Quantum Chemistry and Basis Sets 4

      2 Application of Density Functional and Density Functional Based Ligand Field Theory to Spin States 7
      Claude Daul, Matija Zlatar, Maja Gruden-Pavlovic and Marcel Swart

      2.1 Introduction 7

      2.2 What Is the Problem with Theory? 9

      2.2.1 Density Functional Theory 9

      2.2.2 LF Theory: Bridging the Gap Between Experimental and Computational Coordination Chemistry 11

      2.3 Validation and Application Studies 15

      2.3.1 Use of OPBE, SSB-D and S12g Density Functionals for Spin-State Splittings 17

      2.3.2 Application of LF-DFT 21

      2.4 Concluding Remarks 25

      3 Ab Initio Wavefunction Approaches to Spin States 35
      Carmen Sousa and Coen de Graaf

      3.1 Introduction and Scope 35

      3.2 Wavefunction-Based Methods for Spin States 35

      3.2.1 Single Reference Methods 36

      3.2.2 Multireference Methods 37

      3.2.3 MR Perturbation Theory 39

      3.2.4 Variational Approaches 40

      3.2.5 Density Matrix Renormalization Group Theory 40

      3.3 Spin Crossover 41

      3.3.1 Choice of Active Space and Basis Set 41

      3.3.2 The HS–LS Energy Difference 43

      3.3.3 Light-Induced Excited Spin State Trapping (LIESST) 45

      3.3.4 Spin Crossover in Other Metals 47

      3.4 Magnetic Coupling 47

      3.5 Spin States in Biochemical and Biomimetic Systems 50

      3.6 Two-State Reactivity 52

      3.7 Concluding Remarks 52

      4 Experimental Techniques for Determining Spin States 59
      Carole Duboc and Marcello Gennari

      4.1 Introduction 59

      4.2 Magnetic Measurements 61

      4.2.1 g-Anisotropy and Zero-Field Splitting (zfs) 64

      4.2.2 Unquenched Orbital Moment in the Ground State 64

      4.2.3 Exchange Interactions 64

      4.2.4 Spin Transitions and Spin Crossover 66

      4.3 EPR Spectroscopy 66

      4.4 Mössbauer Spectroscopy 70

      4.5 X-ray Spectroscopic Techniques 74

      4.6 NMR Spectroscopy 77

      4.7 Other Techniques 80

      4.A Appendix 81

      4.A.1 Theoretical Background 81

      4.A.2 List of Symbols 82

      5 Molecular Discovery in Spin Crossover 85
      Robert J. Deeth

      5.1 Introduction 85

      5.2 Theoretical Background 85

      5.2.1 Spin Transition Curves 88

      5.2.2 Light-Induced Excited Spin State Trapping 89

      5.3 Thermal SCO Systems: Fe(II) 90

      5.4 SCO in Non-d6 Systems 93

      5.5 Computational Methods 95

      5.6 Outlook 98

      6 Multiple Spin-State Scenarios in Organometallic Reactivity 103
      Wojciech I. Dzik, Wesley Böhmer and Bas de Bruin

      6.1 Introduction 103

      6.2 "Spin-Forbidden" Reactions and Two-State Reactivity 104

      6.3 Spin-State Changes in Transition Metal Complexes 107

      6.3.1 Influence of the Spin State on the Kinetics of Ligand Exchange 108

      6.3.2 Stoichiometric Bond Making and Breaking Reactions 109

      6.3.3 Spin-State Situations Involving Redox-Active Ligands 115

      6.4 Spin-State Changes in Catalysis 119

      6.4.1 Catalytic (Cyclo)oligomerizations 119

      6.4.2 Phillips Cr(II)/SiO2 Catalyst 121

      6.4.3 SNS–CrCl3 Catalyst 123

      6.5 Concluding Remarks 125

      7 Principles and Prospects of Spin-States Reactivity in Chemistry and Bioinorganic Chemistry 131
      Dandamudi Usharani, Binju Wang, Dina A. Sharon and Sason Shaik

      7.1 Introduction 131

      7.2 Spin-States Reactivity 132

      7.2.1 Two-State and Multi-State Reactivity 133

      7.2.2 Origins of Spin-Selective Reactivity: Exchange-Enhanced Reactivity and Orbital Selection Rules 137

      7.2.3 Considerations of Exchange-Enhanced Reactivity versus Orbital-Controlled Reactivity 140

      7.2.4 Consideration of Spin-State Selectivity in H-Abstraction: The Power of EER 142

      7.2.5 The Origins of Mechanistic Selection – Why Are C–H Hydroxylations Stepwise Processes? 146

      7.3 Prospects of Two-State Reactivity and Multi-State Reactivity 148

      7.3.1 Probing Spin-State Reactivity 148

      7.3.2 Are Spin Inversion Probabilities Useful for Analyzing TSR? 150

      7.4 Concluding Remarks 151

      8 Multiple Spin-State Scenarios in Gas-Phase Reactions 157
      Jana Roithová

      8.1 Introduction 157

      8.2 Experimental Methods for the Investigation of Metal-Ion Reactions 158

      8.3 Multiple State Reactivity: Reactions of Metal Cations with Methane 160

      8.4 Effect of the Oxidation State: Reactions of Metal Hydride Cations with Methane 163

      8.5 Two-State Reactivity: Reactions of Metal Oxide Cations 164

      8.6 Effect of Ligands 171

      8.7 Effect of Noninnocent Ligands 174

      8.8 Concluding Remarks 177

      9 Catalytic Function and Mechanism of Heme and Nonheme Iron(IV)–Oxo Complexes in Nature 185
      Matthew G. Quesne, Abayomi S. Faponle, David P. Goldberg and Sam P. de Visser

      9.1 Introduction 185

      9.2 Cytochrome P450 Enzymes 186

      9.2.1 Importance of Cytochrome P450 Enzymes 187

      9.2.2 P450 Activation of Long-Chain Fatty Acids 188

      9.2.3 Heme Monooxygenases and Peroxygenases 188

      9.2.4 Catalytic Cycle of Cytochrome P450 Enzymes 188

      9.3 Nonheme Iron Dioxygenases 190

      9.3.1 Cysteine Dioxygenase 191

      9.3.2 AlkB Repair Enzymes 192

      9.3.3 Nonheme Iron Halogenases 194

      9.4 Conclusions 197

      9.5 Acknowledgments 197

      10 Terminal Metal–Oxo Species with Unusual Spin States 203
      Sarah A. Cook, David C. Lacy and Andy S. Borovik

      10.1 Introduction 203

      10.2 Bonding 204

      10.2.1 Bonding Considerations: Tetragonal Symmetry 204

      10.2.2 Bonding Considerations: Trigonal Symmetry 205

      10.2.3 Methods of Characterization 206

      10.3 Case Studies 206

      10.3.1 Iron–Oxo Chemistry 206

      10.3.2 Manganese–Oxo Chemistry 212

      10.3.3 Cautionary Tales: Late Transition Metal Oxido Complexes 217

      10.3.4 Effects of Redox Inactive Metal Ions 217

      10.3.5 Metal–Oxyl Complexes 218

      10.4 Reactivity 218

      10.4.1 General Concepts: Proton versus Electron Transfer 218

      10.4.2 Spin State and Reactivity 220

      10.5 Summary 220

      11 Multiple Spin Scenarios in Transition-Metal Complexes Involving Redox Non-Innocent Ligands 229
      Florian Heims and Kallol Ray

      11.1 Introduction 229

      11.2 Survey of Non-Innocent Ligands 231

      11.3 Identification of Non-Innocent Ligands 232

      11.3.1 X-ray Crystallography 232

      11.3.2 EPR Spectroscopy 234

      11.3.3 Mössbauer Spectroscopy 235

      11.3.4 XAS Spectroscopy 236

      11.4 Selected Examples of Biological and Chemical Systems Involving Non-Innocent Ligands 237

      11.4.1 Copper–Radical Interaction 237

      11.4.2 Iron–Radical Interaction 246

      11.5 Concluding Remarks 252

      12 Molecular Magnetism 263
      Guillem Aromí, Patrick Gamez and Olivier Roubeau

      12.1 Introduction 263

      12.2 Molecular Magnetism: Motivations, Early Achievements and Foundations 264

      12.3 Molecular Nanomagnets (MNM) 265

      12.3.1 Single-Molecule Magnets 266

      12.3.2 Single-Chain Magnets (SCM) 268

      12.3.3 Single-Ion Magnets (SIM) 271

      12.4 Switchable Systems 273

      12.4.1 Spin Crossover (SCO) 273

      12.4.2 Valence Tautomerism (VT) 273

      12.4.3 Charge Transfer (CT) 275

      12.4.4 Light-Driven Ligand-Induced Spin Change (LD-LISC) 276

      12.4.5 Photoswitching (PS) Through Intermetallic CT 277

      12.5 Molecular-Based Magnetic Refrigerants 278

      12.5.1 The Magneto-Caloric Effect, Its Experimental Determination and Key Parameters 278

      12.5.2 Molecular to Extended Framework Coolers Towards Applications 280

      12.6 Quantum Manipulation of the Electronic Spin for Quantum Computing 282

      12.6.1 Organic Radicals 283

      12.6.2 Transition Metal Clusters 284

      12.6.3 Lanthanides as Realization of Qubits 285

      12.6.4 Engineering of Molecular Quantum Gates with Lanthanide Qubits 285

      12.7 Perspectives Toward Applications and Concluding Remarks 287

      13 Electronic Structure, Bonding, Spin Coupling, and Energetics of Polynuclear Iron–Sulfur Clusters – A Broken Symmetry Density Functional Theory Perspective 297
      Kathrin H. Hopmann, Vladimir Pelmenschikov, Wen-Ge Han Du and Louis Noodleman

      13.1 Introduction 297

      13.2 Iron–Sulfur Coordination: Geometric and Electronic Structure 298

      13.3 Spin Polarization Splitting and the Inverted Level Scheme 300

      13.4 Spin Coupling and the Broken Symmetry Method 300

      13.5 Electron Localization and Delocalization 301

      13.6 Polynuclear Systems – Competing Heisenberg Interactions and Spin-Dependent Delocalization 303

      13.7 Preamble to Three Major Topics: Iron–Sulfur–Nitrosyls, Adenosine-5'-Phosphosulfate Reductase, and the Proximal Cluster of Membrane-Bound [NiFe]-Hydrogenase 303

      13.7.1 Nonheme Iron Nitrosyl Complexes 303

      13.7.2 Adenosine-5'-Phosphosulfate Reductase 310

      13.7.3 Proximal Cluster of O2-Tolerant Membrane-Bound [NiFe]-Hydrogenase in Three Redox States 315

      13.8 Concluding Remarks 318

      13.9 Acknowledgments 319

      14 Environment Effects on Spin States, Properties, and Dynamics from Multi-level QM/MM Studies 327
      Alexander Petrenko and Matthias Stein

      14.1 Introduction 327

      14.1.1 Environmental Effects 328

      14.1.2 Hybrid QM/MM Embedding Schemes 329

      14.2 The Quantum Spin Hamiltonian – Linking Theory and Experiment 332

      14.3 The Solvent as an Environment 335

      14.3.1 Fourier Transform Infrared Spectroscopy 336

      14.3.2 Nuclear Magnetic Resonance 336

      14.3.3 Electron Paramagnetic Resonance 336

      14.4 Effect of Different Levels of QM and MM Treatment 338

      14.4.1 Convergence and Caveats at the QM Level 338

      14.4.2 Accuracy of the MM Part 341

      14.4.3 QM versus QM/MM Methods 341

      14.5 Illustrative Bioinorganic Examples 343

      14.5.1 Cytochrome P450 343

      14.5.2 Hydrogenase Enzymes 349

      14.5.3 Photosystem II and the Effect of QM Size 354

      14.6 From Static Spin-State Properties to Dynamics and Kinetics of Electron Transfer 357

      14.7 Final Remarks and Conclusions 359

      14.8 Acknowledgments 362

      15 High-Spin and Low-Spin States in {FeNO}7, FeIV=O, and FeIII–OOH Complexes and Their Correlations to Reactivity 369
      Edward I. Solomon, Kyle D. Sutherlin and Martin Srnec

      15.1 Introduction 369

      15.2 High- and Low-Spin {FeNO}7 Complexes: Correlations to O2 Activation 372

      15.2.1 Spectroscopic Definition of the Electronic Structure of High-Spin {FeNO}7 372

      15.2.2 Computational Studies of S = 3/2 {FeNO}7 Complexes and Related {FeO2}8 Complexes 375

      15.2.3 Extension to IPNS and HPPD: Implications for Reactivity 377

      15.2.4 Correlation to {FeNO}7 S = 1/2 385

      15.3 Low-Spin (S = 1) and High-Spin (S = 2) FeIV=O Complexes 386

      15.3.1 FeIV=O S = 1 Complexes: π* FMO 386

      15.3.2 FeIV=O S = 2 Sites: π* and σ* FMOs 390

      15.3.3 Contributions of FMOs to Reactivity 392

      15.4 Low-Spin (S = 1/2) and High-Spin (S = 5/2) FeIII–OOH Complexes 396

      15.4.1 Spin State Dependence of O–O Bond Homolysis 396

      15.4.2 FeIII–OOH S = 1/2 Reactivity: ABLM 398

      15.4.3 FeIII–OOH Spin State-Dependent Reactivity: FMOs 399

      15.5 Concluding Remarks 401

      15.6 Acknowledgments 402

      16 NMR Analysis of Spin Densities 409
      Kara L. Bren

      16.1 Introduction and Scope 409

      16.2 Spin Density Distribution in Transition Metal Complexes 410

      16.3 NMR of Paramagnetic Molecules 412

      16.3.1 Chemical Shifts 413

      16.3.2 Relaxation Rates 414

      16.4 Analysis of Spin Densities by NMR 416

      16.4.1 Factoring Contributions to Hyperfine Shifts 416

      16.4.2 Relaxation Properties and Spin Density 418

      16.4.3 DFT Approaches to Analyzing Hyperfine Shifts 419

      16.4.4 Natural Bond Orbital Analysis 420

      16.4.5 Application and Practicalities 421

      16.5 Probing Spin Densities in Paramagnetic Metalloproteins 422

      16.5.1 Heme Proteins 422

      16.5.2 Iron-Sulfur Proteins 425

      16.5.3 Copper Proteins 427

      16.6 Conclusions and Outlook 429

      17 Summary and Outlook 435
      Miquel Costas and Marcel Swart

      17.1 Summary 435

      17.2 Outlook 436

      Index 439

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