Local Structural Characterisation

Preface xiii

List of Contributors xv

1 Solid-state Nuclear Magnetic Resonance Spectroscopy 1 Sharon Ashbrook, Daniel Dawson and John Griffin

1.1 Overview 1

1.2 Theoretical Background 3

1.2.1 Fundamentals of NMR 3

1.2.2 Acquisition of Basic NMR Spectra 4

1.2.3 Relaxation 7

1.2.4 Interactions in NMR Spectroscopy 7

1.3 Basic Experimental Methods 15

1.3.1 Spin I = 1/2 Nuclei 15

> 1/2 Nuclei 24

1.3.3 Wideline NMR Spectroscopy 30

1.4 Calculation of NMR Parameters 31

1.4.1 Introduction to Density Functional Theory 31

1.4.2 Basis Sets and Periodicity 32

1.4.3 Reducing the Computational Cost of Calculations 33

1.4.4 Application of First-principles Calculations 34

1.5 Applications of Solid-state NMR Spectroscopy 36

1.5.1 Local and Long-range Structure 36

1.5.2 Measuring Internuclear Interactions 43

1.5.3 Disordered Materials 46

1.5.4 Studying Dynamics 50

1.5.5 Challenging Nuclei and Systems 54

1.5.6 Paramagnetic Materials and Metals 56

1.6 Commonly Studied Nuclei 59

1.6.1 Hydrogen 59

1.6.2 Lithium 61

1.6.3 Boron 62

1.6.4 Carbon 62

1.6.5 Oxygen 62

1.6.6 Fluorine 63

1.6.7 Sodium 63

1.6.8 Aluminium 64

1.6.9 Silicon 64

1.6.10 Phosphorus 64

1.6.11 Xenon 65

1.7 NMR of Materials 65

1.7.1 Simple Ionic Compounds and Ceramics 65

1.7.2 Microporous Materials 67

1.7.3 Minerals and Clays 74

1.7.4 Energy Materials 76

1.7.5 Glasses 78

1.7.6 Polymers 81

1.8 Conclusion 83

References 84

2 X-ray Absorption and Emission Spectroscopy 89 Pieter Glatzel and Amelie Juhin

2.1 Introduction: What is Photon Spectroscopy? 89

2.2 Electronic Structure and Spectroscopy 93

2.2.1 Total Energy Diagram 93

2.2.2 Interaction of X-rays with Matter 96

2.3 Calculation of Inner-shell Spectra 106

2.3.1 The Single-particle Extended Picture of Electronic States 107

2.3.2 The Many-body Atomic Picture of Electronic States 109

2.3.3 Comparison of Theoretical Approaches 112

2.3.4 The Many-body Extended Picture of Electronic States 113

2.3.5 Single-particle Calculation of the Absorption Cross-section 114

2.3.6 Many-body Atomic Calculation of the Cross-section 118

2.3.7 Which Approach Works Best for Inner-shell Spectroscopy? 118

2.3.8 Beyond Standard DFT Methods 119

2.4 Experimental Techniques 120

2.4.1 X-ray Absorption Spectroscopy 121

2.4.2 X-ray Raman Spectroscopy 130

2.4.3 Nonresonant X-ray Emission (X-ray Fluorescence) 131

2.4.4 Resonant Inelastic X-ray Scattering 137

2.5 Experimental Considerations 155

2.5.1 Modern Sources of X-rays 155

2.5.2 Ultrafast X-ray Spectroscopy 157

2.5.3 Measuring XAS/XES 158

2.6 Conclusion 163

Acknowledgement 164

References 164

3 Neutrons and Neutron Spectroscopy 173 A. J. Ramirez-Cuesta and Philip C. H. Mitchell

3.1 The Neutron and How it is Scattered 174

3.1.1 The Scattering Law 175

3.2 Why Neurons? 179

3.2.1 The S(Q,w) Map 180

3.2.2 Modelling of INS Spectra 181

3.2.3 Example of the Effects of Sampling of the Brillouin Zone 183

3.2.4 INS Spectrometers 184

3.2.5 Measurement Temperature 189

3.2.6 Amount of Sample Required 189

3.3 Molecular Hydrogen (Dihydrogen) in Porous Materials 190

3.3.1 The Rotational Spectrum of Dihydrogen 190

3.3.2 The Polarising Power of Cations and H2 Binding 191

3.3.3 Hydrogen in Metal Organic Frameworks 195

3.3.4 Hydrogen Trapped in Clathrates 198

3.4 Ins and Catalysis 201

3.4.1 Hydroxyl Groups on Surfaces 206

3.5 CO2 and SO2 Capture 207

3.6 What Could be Next? 211

3.6.1 How Could we Improve INS? 211

3.6.2 A Hypothetical INS Instrument for Catalysis 216

3.7 Conclusion 219

References 220

4 Electron Paramagnetic Resonance Spectroscopy of Inorganic Materials 225 Piotr Pietrzyk, Tomasz Mazur and Zbigniew Sojka

4.1 Introduction 225

4.2 Electron Spin in a Magnetic Field 226

4.2.1 Electron Zeeman Effect and the Resonance Phenomenon 228

4.2.2 Spin Relaxation 230

4.2.3 Electron-Nucleus Hyperfine Interaction 233

4.2.4 EPR Spectrometers 238

4.2.5 Samples, Sample Holders and Registration of EPR Spectra 242

4.3 Spin Hamiltonian and Symmetry 244

4.3.1 The g Tensor 244

4.3.2 The Hyperfine A Tensor 250

4.3.3 The Fine Structure D Tensor 256

4.3.4 The Quadrupole Q Tensor 260

4.3.5 Electron-Electron Exchange Interactions J 261

4.3.6 The Spin Hamiltonian 264

4.4 Principal Types of EPR Spectrum and Their Characteristic Features 267

4.4.1 Single-crystal Spectra 267

4.4.2 Static and Dynamic Disorder 269

4.4.3 EPR Spectra of Powder and Nanopowder Materials 274

4.4.4 Unusual Spectral Features 278

4.4.5 Computer Simulation of Powder Spectra 280

4.5 Advanced EMR Techniques 282

4.5.1 High-field and Multifrequency EPR 282

4.5.2 Pulsed EPR Methods 285

References 296

5 Analysis of Functional Materials by X-ray Photoelectron Spectroscopy 301 Karen Wilson and Adam F. Lee

5.1 Introduction 301

5.1.1 The Basic Principles of XPS 302

5.1.2 Quantification of X-ray Photoelectron Spectra 305

5.1.3 The Origin of Surface Sensitivity 308

5.1.4 Angular Resolved XPS 309

5.1.5 Chemical Shift Information from XPS 311

5.2 Imaging XPS 315

5.3 Time-resolved High-resolution XPS 318

5.3.1 Selective Catalytic Alcohol Oxidation 319

5.3.2 Selective Oxidation of Allylic Alcohols 322

5.3.3 C-X Activation 324

5.4 High- or Ambient-pressure XPS 326

5.4.1 AP-XPS Studies of the Surface Chemistry of Oxidised Metal Surfaces 329

5.4.2 Selective Hydrogenation 333

5.4.3 HP-XPS Studies of Core-Shell Nanoparticulate Materials 335

5.5 Applications to Inorganic Materials 335

5.5.1 Bimetallic Nanoparticles 335

5.5.2 XPS Studies of Heteropolytungstate Clusters 338

5.5.3 XPS Studies of Acid-Base Sites in Oxide Catalysts 342

5.6 Conclusion 345

References 345

Index 351