Description

Book Synopsis
TWO-DIMENSIONAL (2D) NMR METHODS

Practical guide explaining the fundamentals of 2D-NMR for experienced scientists as well as relevant for advanced students

Two-Dimensional (2D) NMR Methods is a focused work presenting an overview of 2D-NMR concepts and techniques, including basic principles, practical applications, and how NMR pulse sequences work.

Contributed to by global experts with extensive experience in the field, Two-Dimensional (2D) NMR Methods provides in-depth coverage of sample topics such as:

  • Basics of 2D-NMR, data processing methods (Fourier and beyond), product operator formalism, basics of spin relaxation, and coherence transfer pathways
  • Multidimensional methods (single- and multiple-quantum spectroscopy), NOESY (principles and applications), and DOSY methods
  • Multiple acquisition strategies, anisotropic NMR in molecular analysis, ultrafast 2D methods, and multidimensional methods in bio-NMR
  • TROSY (pr

    Table of Contents

    Dedication v

    List of Contributors xvii

    Preface xix

    1 Basics of Two-dimensional NMR 1
    Malcolm H. Levitt

    1.1 Introduction 1

    1.2 Spin Dynamics 2

    1.3 One-dimensional Fourier NMR 6

    1.4 Two-dimensional NMR 11

    1.5 Summary 14

    2 Data Processing Methods: Fourier and Beyond 19
    Vladislav Orekhov, Pawel Kasprzak, and Krzysztof Kazimierczuk

    2.1 Introduction 19

    2.2 Time-domain NMR Signal 19

    2.3 NMR Spectrum 20

    2.4 The Most Important Features of FT 20

    2.5 Distortion: Phase 23

    2.6 Kramers-Kronig Relations and Hilbert Transform 23

    2.7 Distortion: Truncation 25

    2.8 Distortion: Noise and Multiple Scans 27

    2.9 Distortion: Sampling and DFT 27

    2.10 Quadrature Detection 30

    2.11 Processing:Weighting 31

    2.12 Processing: Zero Filling 33

    2.13 Fourier Transform in Multiple Dimensions 33

    2.14 Quadrature Detection in Multiple Dimensions 36

    2.15 Projection Theorem 37

    2.16 ND Sampling Aspects and Sparse Sampling 40

    2.17 Reconstructing Sparsely Sampled Data Sets 41

    2.18 Deconvolution 42

    3 Product Operator Formalism 47
    Rolf Boelens and Robert Kaptein

    3.1 Introduction 47

    3.2 Product Operators and Time Evolution 48

    3.3 Time Evolution of the Product Operators 55

    3.4 Applications 59

    3.4.1 Spin-echo Experiments 59

    3.5 Two-dimensional Experiments 66

    4 Relaxation in NMR Spectroscopy 93
    Matthias Ernst

    4.1 Introduction 93

    4.2 Theory 95

    4.3 Relaxation in Spin-1/2 Systems: Dipolar and CSA Relaxation 104

    4.4 Other Relaxation Mechanisms 125

    4.5 Concluding Remarks 130

    5 Coherence Transfer Pathways 135
    David E. Korenchan and Alexej Jerschow

    5.1 Coherence Transfer Pathways: What and Why? 135

    5.2 Principles of Coherence Selection 137

    5.3 Coherence Transfer Pathway Selection by Phase Cycling 140

    5.4 Cogwheel Phase Cycling 146

    5.5 Coherence Transfer Pathway Selection by Pulsed-field Gradients 147

    5.6 Comparison Between Phase Cycling and Pulsed-field Gradients 150

    5.7 CTP Selection in Heteronuclear Spin Systems 150

    5.8 Additional Approaches to Coherence Selection 151

    6 Nuclear Overhauser Effect Spectroscopy 153
    P.K. Madhu

    6.1 Introduction 153

    6.2 Nuclear Overhauser Effect 153

    6.3 Measurement of NOE 161

    6.4 Heteronuclear NOE 161

    6.5 NOE Kinetics 162

    6.6 Nuclear Overhauser Effect Spectroscopy, NOESY 164

    6.7 Rotating-frame NOE, ROE 166

    6.8 Relative Signs of Cross Peaks 168

    6.9 Generalised Solomon’s Equation 169

    6.10 NOESY and ROESY: Practical Considerations and Experimental Spectra 170

    6.11 Conclusions 170

    7 DOSY Methods for Studying Non-equilibrium Molecular and Ionic Systems 175
    Muslim Dvoyashkin, Monika Schoönhoff, and Ville-Veikko Telkki

    7.1 Introduction 175

    7.2 Spatial Spin "Encoding" Using Magnetic Field Gradient 175

    7.3 Formation of NMR Signal and Spin Echo in the Presence of Field Gradient 176

    7.4 NMR of Liquids in An Electric Field: Electrophoretic NMR 178

    7.5 Ultrafast Diffusion Measurements 186

    7.6 Ultrafast Diffusion Exchange Spectroscopy 189

    8 Multiple Acquisition Strategies 195
    Nathaniel J. Traaseth

    8.1 Introduction 195

    8.2 Types of Multiple Acquisition Experiments 195

    8.3 Utilization of Forgotten Spin Operators 196

    8.4 Application of Multiple Acquisition Techniques 198

    8.5 Modularity of Multiple Detection Schemes and Other Novel Approaches 201

    8.6 Future of Multiple Acquisition Detection 202

    9 Anisotropic One-dimensional/Two-dimensional NMR in Molecular Analysis 209
    Philippe Lesot and Roberto R. Gil

    9.1 Introduction 209

    9.2 Advantages of Oriented Solvents 210

    9.3 Description of Useful Anisotropic NMR Parameters 213

    9.4 Adapted 2D NMR Tools 221

    9.5 Examples of Polymeric Liquid Crystals 226

    9.6 Contribution to the Analysis of Chiral and Prochiral Molecules 232

    9.7 Structural Value of Anisotropic NMR Parameters 248

    9.8 Conformational Analysis in Oriented Solvents 276

    9.9 Anisotropic 2H 2D NMR Applied to Molecular Isotope Analysis 277

    9.10 Anisotropic NMR in Molecular Analysis: What You Should Keep in Mind 281

    10 Ultrafast 2D methods 297
    Boris Gouilleux

    10.1 Introduction 297

    10.2 UF 2D NMR Principles: Entangling the Space and the Time 299

    10.3 Specific Features of UF 2D NMR 305

    10.4 Advanced UF Methods 307

    10.5 UF 2D NMR: A Versatile Approach 311

    10.6 Overview of UF 2D NMR Applications 316

    10.7 Conclusion 326

    11 Multi-dimensional Methods in Biological NMR 333
    Tobias Schneider and Michael Kovermann

    11.1 Introduction 333

    11.2 Experimental Approaches 334

    11.3 Case Studies 338

    12 TROSY: Principles and Applications 365
    Harindranath Kadavath and Roland Riek

    12.1 Introduction 365

    12.2 The Principles of TROSY 366

    12.3 Practical Aspects of TROSY 371

    12.4 Applications of TROSY 374

    12.5 Transverse Relaxation-optimization in the Polarization Transfers 379

    12.6 15N Direct Detected TROSY 380

    12.7 [1H,13C]-TROSY Correlation Experiments 380

    12.8 Applications to Nucleic Acids 382

    12.9 Intermolecular Interactions and Drug Design 383

    12.10 Conclusion 383

    13 Two-Dimensional Methods and Zero- to Ultralow-Field (ZULF) NMR 395
    K.L. Ivanov, John Blanchard, Dmitry Budker, Fabien Ferrage, Alexey Kiryutin, Tobias Sjolander, Alexandra Yurkovskaya, and Ivan Zhukov

    13.1 Introduction and Motivation 395

    13.2 EarlyWork 396

    13.3 Two-dimensional NMR Measured at Zero Magnetic Field 397

    13.4 Nuclear Magnetic Resonance at Millitesla Fields Using a Zero-Field Spectrometer 403

    13.5 Field Cycling NMR and Correlation Spectroscopy 404

    13.6 ZERO-Field - High-Field Comparison 409

    13.7 Conclusion and Outlook 412

    14 Multidimensional Methods and Paramagnetic NMR 415
    Thomas Robinson, Kevin J. Sanders, Andrew J. Pell, and Guido Pintacuda

    14.1 Introduction 415

    14.2 NMR Methods for Paramagnetic Systems in Solution 416

    14.3 NMR Methods for Paramagnetic Systems in Solids 423

    15 Chemical Exchange 435
    Ashok Sekhar and Pramodh Vallurupalli

    15.1 Introduction 435

    15.2 Bloch-McConnell Equations 436

    15.3 Studying Exchange Between Visible States 443

    15.4 Studying Exchange Between a Visible State and Invisible State(s) 448

    15.5 Summary 458

    Acknowledgments 459

    References 459

    Appendix A Proton-Detected Heteronuclear and Multidimensional NMR 461
    Christian Griesinger, Harald Schwalbe, Jürgen Schleucher, and Michael Sattler

    Index 553

TwoDimensional 2D NMR Methods

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    A Hardback by K. L. Ivanov, P. K. Madhu, G. Rajalakshmi

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      View other formats and editions of TwoDimensional 2D NMR Methods by K. L. Ivanov

      Publisher: John Wiley & Sons Inc
      Publication Date: 18/05/2023
      ISBN13: 9781119806691, 978-1119806691
      ISBN10: 1119806690

      Description

      Book Synopsis
      TWO-DIMENSIONAL (2D) NMR METHODS

      Practical guide explaining the fundamentals of 2D-NMR for experienced scientists as well as relevant for advanced students

      Two-Dimensional (2D) NMR Methods is a focused work presenting an overview of 2D-NMR concepts and techniques, including basic principles, practical applications, and how NMR pulse sequences work.

      Contributed to by global experts with extensive experience in the field, Two-Dimensional (2D) NMR Methods provides in-depth coverage of sample topics such as:

      • Basics of 2D-NMR, data processing methods (Fourier and beyond), product operator formalism, basics of spin relaxation, and coherence transfer pathways
      • Multidimensional methods (single- and multiple-quantum spectroscopy), NOESY (principles and applications), and DOSY methods
      • Multiple acquisition strategies, anisotropic NMR in molecular analysis, ultrafast 2D methods, and multidimensional methods in bio-NMR
      • TROSY (pr

        Table of Contents

        Dedication v

        List of Contributors xvii

        Preface xix

        1 Basics of Two-dimensional NMR 1
        Malcolm H. Levitt

        1.1 Introduction 1

        1.2 Spin Dynamics 2

        1.3 One-dimensional Fourier NMR 6

        1.4 Two-dimensional NMR 11

        1.5 Summary 14

        2 Data Processing Methods: Fourier and Beyond 19
        Vladislav Orekhov, Pawel Kasprzak, and Krzysztof Kazimierczuk

        2.1 Introduction 19

        2.2 Time-domain NMR Signal 19

        2.3 NMR Spectrum 20

        2.4 The Most Important Features of FT 20

        2.5 Distortion: Phase 23

        2.6 Kramers-Kronig Relations and Hilbert Transform 23

        2.7 Distortion: Truncation 25

        2.8 Distortion: Noise and Multiple Scans 27

        2.9 Distortion: Sampling and DFT 27

        2.10 Quadrature Detection 30

        2.11 Processing:Weighting 31

        2.12 Processing: Zero Filling 33

        2.13 Fourier Transform in Multiple Dimensions 33

        2.14 Quadrature Detection in Multiple Dimensions 36

        2.15 Projection Theorem 37

        2.16 ND Sampling Aspects and Sparse Sampling 40

        2.17 Reconstructing Sparsely Sampled Data Sets 41

        2.18 Deconvolution 42

        3 Product Operator Formalism 47
        Rolf Boelens and Robert Kaptein

        3.1 Introduction 47

        3.2 Product Operators and Time Evolution 48

        3.3 Time Evolution of the Product Operators 55

        3.4 Applications 59

        3.4.1 Spin-echo Experiments 59

        3.5 Two-dimensional Experiments 66

        4 Relaxation in NMR Spectroscopy 93
        Matthias Ernst

        4.1 Introduction 93

        4.2 Theory 95

        4.3 Relaxation in Spin-1/2 Systems: Dipolar and CSA Relaxation 104

        4.4 Other Relaxation Mechanisms 125

        4.5 Concluding Remarks 130

        5 Coherence Transfer Pathways 135
        David E. Korenchan and Alexej Jerschow

        5.1 Coherence Transfer Pathways: What and Why? 135

        5.2 Principles of Coherence Selection 137

        5.3 Coherence Transfer Pathway Selection by Phase Cycling 140

        5.4 Cogwheel Phase Cycling 146

        5.5 Coherence Transfer Pathway Selection by Pulsed-field Gradients 147

        5.6 Comparison Between Phase Cycling and Pulsed-field Gradients 150

        5.7 CTP Selection in Heteronuclear Spin Systems 150

        5.8 Additional Approaches to Coherence Selection 151

        6 Nuclear Overhauser Effect Spectroscopy 153
        P.K. Madhu

        6.1 Introduction 153

        6.2 Nuclear Overhauser Effect 153

        6.3 Measurement of NOE 161

        6.4 Heteronuclear NOE 161

        6.5 NOE Kinetics 162

        6.6 Nuclear Overhauser Effect Spectroscopy, NOESY 164

        6.7 Rotating-frame NOE, ROE 166

        6.8 Relative Signs of Cross Peaks 168

        6.9 Generalised Solomon’s Equation 169

        6.10 NOESY and ROESY: Practical Considerations and Experimental Spectra 170

        6.11 Conclusions 170

        7 DOSY Methods for Studying Non-equilibrium Molecular and Ionic Systems 175
        Muslim Dvoyashkin, Monika Schoönhoff, and Ville-Veikko Telkki

        7.1 Introduction 175

        7.2 Spatial Spin "Encoding" Using Magnetic Field Gradient 175

        7.3 Formation of NMR Signal and Spin Echo in the Presence of Field Gradient 176

        7.4 NMR of Liquids in An Electric Field: Electrophoretic NMR 178

        7.5 Ultrafast Diffusion Measurements 186

        7.6 Ultrafast Diffusion Exchange Spectroscopy 189

        8 Multiple Acquisition Strategies 195
        Nathaniel J. Traaseth

        8.1 Introduction 195

        8.2 Types of Multiple Acquisition Experiments 195

        8.3 Utilization of Forgotten Spin Operators 196

        8.4 Application of Multiple Acquisition Techniques 198

        8.5 Modularity of Multiple Detection Schemes and Other Novel Approaches 201

        8.6 Future of Multiple Acquisition Detection 202

        9 Anisotropic One-dimensional/Two-dimensional NMR in Molecular Analysis 209
        Philippe Lesot and Roberto R. Gil

        9.1 Introduction 209

        9.2 Advantages of Oriented Solvents 210

        9.3 Description of Useful Anisotropic NMR Parameters 213

        9.4 Adapted 2D NMR Tools 221

        9.5 Examples of Polymeric Liquid Crystals 226

        9.6 Contribution to the Analysis of Chiral and Prochiral Molecules 232

        9.7 Structural Value of Anisotropic NMR Parameters 248

        9.8 Conformational Analysis in Oriented Solvents 276

        9.9 Anisotropic 2H 2D NMR Applied to Molecular Isotope Analysis 277

        9.10 Anisotropic NMR in Molecular Analysis: What You Should Keep in Mind 281

        10 Ultrafast 2D methods 297
        Boris Gouilleux

        10.1 Introduction 297

        10.2 UF 2D NMR Principles: Entangling the Space and the Time 299

        10.3 Specific Features of UF 2D NMR 305

        10.4 Advanced UF Methods 307

        10.5 UF 2D NMR: A Versatile Approach 311

        10.6 Overview of UF 2D NMR Applications 316

        10.7 Conclusion 326

        11 Multi-dimensional Methods in Biological NMR 333
        Tobias Schneider and Michael Kovermann

        11.1 Introduction 333

        11.2 Experimental Approaches 334

        11.3 Case Studies 338

        12 TROSY: Principles and Applications 365
        Harindranath Kadavath and Roland Riek

        12.1 Introduction 365

        12.2 The Principles of TROSY 366

        12.3 Practical Aspects of TROSY 371

        12.4 Applications of TROSY 374

        12.5 Transverse Relaxation-optimization in the Polarization Transfers 379

        12.6 15N Direct Detected TROSY 380

        12.7 [1H,13C]-TROSY Correlation Experiments 380

        12.8 Applications to Nucleic Acids 382

        12.9 Intermolecular Interactions and Drug Design 383

        12.10 Conclusion 383

        13 Two-Dimensional Methods and Zero- to Ultralow-Field (ZULF) NMR 395
        K.L. Ivanov, John Blanchard, Dmitry Budker, Fabien Ferrage, Alexey Kiryutin, Tobias Sjolander, Alexandra Yurkovskaya, and Ivan Zhukov

        13.1 Introduction and Motivation 395

        13.2 EarlyWork 396

        13.3 Two-dimensional NMR Measured at Zero Magnetic Field 397

        13.4 Nuclear Magnetic Resonance at Millitesla Fields Using a Zero-Field Spectrometer 403

        13.5 Field Cycling NMR and Correlation Spectroscopy 404

        13.6 ZERO-Field - High-Field Comparison 409

        13.7 Conclusion and Outlook 412

        14 Multidimensional Methods and Paramagnetic NMR 415
        Thomas Robinson, Kevin J. Sanders, Andrew J. Pell, and Guido Pintacuda

        14.1 Introduction 415

        14.2 NMR Methods for Paramagnetic Systems in Solution 416

        14.3 NMR Methods for Paramagnetic Systems in Solids 423

        15 Chemical Exchange 435
        Ashok Sekhar and Pramodh Vallurupalli

        15.1 Introduction 435

        15.2 Bloch-McConnell Equations 436

        15.3 Studying Exchange Between Visible States 443

        15.4 Studying Exchange Between a Visible State and Invisible State(s) 448

        15.5 Summary 458

        Acknowledgments 459

        References 459

        Appendix A Proton-Detected Heteronuclear and Multidimensional NMR 461
        Christian Griesinger, Harald Schwalbe, Jürgen Schleucher, and Michael Sattler

        Index 553

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