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The content of this volume has been added to eMagRes (formerly Encyclopedia of Magnetic Resonance) - the ultimate online resource for NMR and MRI.
The term "NMR Crystallography" has only recently come into common usage, and even now causes raised eyebrows within some parts of the diffraction community. The power of solid-state NMR to give crystallographic information has considerably increased since the CPMAS suite of techniques was introduced in 1976. In the first years of the 21st century, the ability of NMR to provide information to support and facilitate the analysis of single-crystal and powder diffraction patterns has become widely accepted. Indeed, NMR can now be used to refine diffraction results and, in favorable cases, to solve crystal structures with minimal (or even no) diffraction data. The increasing ability to relate chemical shifts (including the tensor components) to the crystallographic location of relevant atoms in the unit cell via computational methods has added significantly to the practice of NMR crystallography. Diffraction experts will increasingly welcome NMR as an allied technique in their structural analyses. Indeed, it may be that in the future crystal structures will be determined by simultaneously fitting diffraction patterns and NMR spectra.
This Handbook is organised into six sections. The first contains an overview and some articles on fundamental NMR topics, followed by a section concentrating on chemical shifts, and one on coupling interactions. The fourth section contains articles describing how NMR results relate to fundamental crystallography concepts and to diffraction methods. The fifth section concerns specific aspects of structure, such as hydrogen bonding. Finally, four articles in the sixth section give applications of NMR crystallography to structural biology, organic & pharmaceutical chemistry, inorganic & materials chemistry, and geochemistry.
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The Encyclopedia of Magnetic Resonance (up to 2012) and eMagRes (from 2013 onward) publish a wide range of online articles on all aspects of magnetic resonance in physics, chemistry, biology and medicine. The existence of this large number of articles, written by experts in various fields, is enabling the publication of a series of EMR Handbooks / eMagRes Handbooks on specific areas of NMR and MRI. The chapters of each of these handbooks will comprise a carefully chosen selection of articles from eMagRes. In consultation with the eMagRes Editorial Board, the EMR Handbooks / eMagRes Handbooks are coherently planned in advance by specially-selected Editors, and new articles are written (together with updates of some already existing articles) to give appropriate complete coverage. The handbooks are intended to be of value and interest to research students, postdoctoral fellows and other researchers learning about the scientific area in question and undertaking relevant experiments, whether in academia or industry.
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Based on the Encyclopedia of Magnetic Resonance (EMR), this monograph series focuses on hot topics and major developments in modern magnetic resonance and its many applications. Each volume in the series will have a specific focus in either general NMR or MRI, with coverage of applications in the key scientific disciplines of physics, chemistry, biology or medicine. All the material published in this series, plus additional content, will be available in the online version of EMR, although in a slightly different format.
Multidimensional NMR Methods for the Solution StateEdited by Gareth A. Morris and James W. EmsleyISBN 978-0-470-77075-7
Solid State NMR Studies of BiopolymersEdited by Ann E. McDermott and Tatyana PolenovaISBN 978-0-470-72122-3
Handbook of RF Coils for MRI and NMREdited by John T. Vaughan and John R. GriffithsISBN 978-0-470-77076-4
Ultrafast Echo-time ImagingEdited by Graeme M. Bydder, Felix W. Wehrli and Ian R. YoungISBN 978-0-470-68835-9
Edited by Robin K. Harris, Roderick E. Wasylishen, Edwin D. Becker, John R. Griffiths, Vivian S. Lee, Ian R. Young, Ann E. McDermott, Tatyana Polenova, James W. Emsley, George A. Gray, Gareth A. Morris, Melinda J. Duer and Bernard C. Gerstein.
The Encyclopedia of Magnetic Resonance (EMR) is based on the original printed Encyclopedia of Nuclear Magnetic Resonance, which was first published in 1996 with an update volume added in 2000. EMR was launched online in 2007 with all the material that had previously appeared in print. New updates have since been and will be added on a regular basis throughout the year to keep the content up to date with current developments. Nuclear was dropped from the title to reflect the increasing prominence of MRI and other medical applications. This allows the editors to expand beyond the traditional borders of NMR to MRI and MRS, as well as to EPR and other modalities. EMR covers all aspects of magnetic resonance, with articles on the fundamental principles, the techniques and their applications in all areas of physics, chemistry, biology and medicine for both general NMR and MRI. Additionally, articles on the history of the subject are included.
For more information see: http://www.mrw.interscience.wiley.com/emr
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Library of Congress Cataloging-in-Publication Data
NMR crystallography / editors, Robin K. Harris, Roderick E. Wasylishen, Melinda J. Duer.
p. cm.
Includes bibliographical references and index.
ISBN 978-0-470-69961-4
1. Crystallography. 2. Nuclear magnetic resonance spectroscopy. I. Harris, Robin
Kingsley. II. Wasylishen, Roderick E. III. Duer, Melinda J.
QD906.7.N83N67 2009 548—dc22
2009031427
A catalogue record for this book is available from the British Library.
ISBN-13: 978-0-470-69961-4
Set in 9.5/11.5 pt Times by Laserwords (Private) Limited, Chennai, India Printed and bound in Singapore by Markono Print Media Pte Ltd
Editors-in-Chief
Robin K. HarrisUniversity of DurhamDurhamUK
Roderick E. WasylishenUniversity of AlbertaEdmonton, AlbertaCanada
Section EditorsSOLID-STATE NMR & PHYSICS
Melinda J. DuerUniversity of CambridgeCambridgeUK
Bernard C. GersteinAmes, IAUSA
SOLUTION-STATE NMR & CHEMISTRY
James W. EmsleyUniversity of SouthamptonSouthamptonUK
George A. GrayVarian Inc.Palo Alto, CAUSA
Gareth A. MorrisUniversity of ManchesterManchesterUK
BIOCHEMICAL NMR
Ann E. McDermottColumbia UniversityNew York, NYUSA
Tatyana PolenovaUniversity of DelawareNewark, DEUSA
MRI & MRS
John R. GriffithsCancer Research UK Cambridge Research InstituteCambridgeUK
Vivian S. LeeNYU Langone Medical CenterNew York, NYUSA
Ian R. YoungImperial CollegeLondonUK
HISTORICAL PERSPECTIVES
Edwin D. BeckerNational Institutes of HealthBethesda, MDUSA
David M. Grant (Chairman)University of UtahSalt Lake City, UTUSA
Isao AndoTokyo Institute of TechnologyTokyoJapan
Adriaan BaxNational Institutes of HealthBethesda, MDUSA
Chris BoeschUniversity BernBernSwitzerland
Paul A. BottomleyJohns Hopkins UniversityBaltimore, MDUSA
William G. BradleyUCSD Medical CenterSan Diego, CAUSA
Graeme M. BydderUCSD Medical CenterSan Diego, CAUSA
Paul T. CallaghanVictoria University of WellingtonWellingtonNew Zealand
Richard R. ErnstEidgenössische Technische Hochschule (ETH)ZürichSwitzerland
Ray FreemanUniversity of CambridgeCambridgeUK
Lucio FrydmanWeizmann Institute of ScienceRehovotIsrael
Maurice GoldmanVillebon sur YvetteFrance
Harald G üntherUniversität SiegenSiegenGermany
Herbert Y. KresselHarvard Medical SchoolBoston, MAUSA
C. Leon PartainVanderbilt University Medical CenterNashville, TNUSA
Alexander PinesUniversity of California at BerkeleyBerkeley, CAUSA
George K. RaddaUniversity of OxfordOxfordUK
Hans Wolfgang SpiessMax-Planck Institute of Polymer ResearchMainzGermany
Charles P. SlichterUniversity of Illinois at Urbana-ChampaignUrbana, ILUSA
John S. WaughMassachusetts Institute of Technology (MIT)Cambridge, MAUSA
Bernd WrackmeyerUniversität BayreuthBayreuthGermany
Kurt WüthrichThe Scripps Research InstituteLa Jolla, CAUSAandETH ZürichZürichSwitzerland
Contents
Title
Copyright
Contributors
Series Preface
Volume Preface
Part A: Introduction
1 Crystallography & NMR: an Overview
1.1 Introduction
1.2 Limitations of Diffraction Techniques
1.3 NMR and its Crystallographic Significance
1.4 Required Information
1.5 Concluding Remarks
References
2 Tensors in NMR
2.1 Introduction
2.2 Cartesian to Spherical Tensors
2.3 Hamiltonians in Terms of Spherical Tensors of Rank 0, 1, 2
2.4 Matrix Elements for Spherical Tensors
References
3 Computation of Magnetic Resonance Parameters for Crystalline Systems: Principles
3.1 Introduction
3.2 Overview of the Planewave-Pseudopotential Approach
3.3 Shielding in a Periodic System
3.4 Other Magnetic Resonance Parameters
3.5 Examples
References
4 Experimental Characterization of Nuclear Spin Interaction Tensors
4.1 Introduction
4.2 Measurements from Wideline Spectra
4.3 Spinning Sideband Analysis
4.4 Single Crystals
4.5 Reliability
4.6 Conclusion
References
Part B: Chemical Shifts
5 Magnetic Shielding & Chemical Shifts: Basics
5.1 Introduction
5.2 Symmetry Properties of the Shielding Tensor
5.3 Theory of Magnetic Shielding
5.4 Calculations of Magnetic Shielding
References
6 Symmetry Effects at the Local Level
6.1 Introduction
6.2 Spin Systems and Interactions
6.3 Magnetic Shielding Tensors in Single Crystals
6.4 Magnetic Shielding Tensors in Polycrystalline Powders
6.5 Summary and Miscellaneous
References
7 Chemical Shift Computations for Crystalline Molecular Systems: Practice
7.1 Computational Details
7.2 General Aspects
7.3 Practical Uses of the Computations
7.4 Conclusions
References
8 Chemical Shifts & Solid-state Molecular-level Structure
8.1 Introduction
8.2 Molecular Structure
8.3 Tautomeric Form
8.4 Bond Lengths
8.5 Bond Angles
8.6 Dihedral Angles
8.7 Steric Crowding
8.8 Concluding Remarks
References
9 Chemical Shift Anisotropy & Asymmetry: Relationships to Crystal Structure
9.1 Introduction
9.2 Direct Encoding of Lattice Structure in Shift Tensors
9.3 Indirect Reflections of Lattice Structure in NMR Tensor Data
9.4 Refinement of Established Crystal Structures
9.5 Deriving Full Crystal Structures
References
Part C: Coupling Interactions
10 Dipolar & Indirect Coupling: Basics
10.1 Introduction
10.2 Characterization of Indirect Spin–Spin Coupling Interactions in Solids
10.3 Characterization of Dipolar Spin–Spin Coupling Interactions in Solids
10.4 Conclusions
References
11 Dipolar Recoupling: Heteronuclear
11.1 Introduction
11.2 MAS Hamiltonian
11.3 Heteronuclear Dipolar Recoupling in Spin Pairs
11.4 Heteronuclear Dipolar Recoupling in Multispin Systems
11.5 Conclusions
References
12 Dipolar Recoupling: Homonuclear
12.1 Introduction
12.2 Theoretical Background and Notation
12.3 Dipolar Recoupling by RF Pulses Alone
12.4 Chemical-Shift-Dependent Dipolar Recoupling
12.5 Symmetry Principles in Homonuclear Dipolar Recoupling
12.6 Frequency-Selective Homonuclear Dipolar Recoupling
12.7 Other Recent Developments
References
13 Dipolar Coupling: Molecular-level Mobility
13.1 Introduction
13.2 Basics
13.3 Averaged Dipolar Couplings—Fast Motions
13.4 Dynamic Lineshape–Intermediate Motions
13.5 Site-Resolved Heteronuclear and Homonuclear Dipolar Couplings
13.6 Double-Quantum Experiments
13.7 Dipolar Exchange NMR—Slow Motions
13.8 Summary
References
14 Spin Diffusion in Crystalline Solids
14.1 Introduction
14.2 The Mechanism of Spin Diffusion
14.3 Experiments to Measure Spin Diffusion
14.4 Modeling Spin Diffusion
14.5 Applications of Spin Diffusion to NMR Crystallography
14.6 Conclusion
References
15 Indirect Coupling & Connectivity
15.1 Introduction
15.2 Homonuclear Through-Bond Correlation Spectroscopy
15.3 Heteronuclear Through-Bond Correlation Spectroscopy
15.4 Conclusions
References
16 Nuclear Quadrupole Coupling: An Introduction & Crystallographic Aspects
16.1 Introduction
16.2 Theory of Quadrupolar Coupling
16.3 Computation of Quadrupolar Parameters
16.4 Effect on NMR Spectra
16.5 Measurement by NMR
16.6 Use in NMR Crystallography
16.7 Conclusions
References
Part D: Crystal Structure Determination using NMR
17 Fundamental Principles of NMR Crystallography
17.1 Introduction
17.2 NMR Physical Measurements
17.3 Resolving Structures by NMR
17.4 NMR Crystallography and Beyond Periodic Structures
References
18 Interplay between NMR & Single-crystal X-ray Diffraction
18.1 Introduction
18.2 Background Concepts
18.3 Solid-State NMR and X-Ray Diffraction
18.4 Examples
18.5 Conclusion
References
19 Combined Analysis of NMR & Powder Diffraction Data
19.1 Introduction
19.2 Introduction to Structure Determination from Powder Diffraction Data
19.3 Structure Determination from Powder Diffraction Data Augmented by Information from Solid-State NMR
19.4 Structure Determination Directly from Solid-State NMR Data
References
20 Tensor Interplay
20.1 Introduction
20.2 Tensor Interplay
20.3 Concluding Remarks
References
Part E: Properties of the Crystalline State
21 Intermolecular Interactions & Structural Motifs
21.1 Introduction
21.2 Host–Guest Interactions: Zeolites
21.3 Aromatic π–π Stacking and Ring-Current Effects
21.4 Interactions in Nanostructures
21.5 Polymorphs
21.6 Ab Initio Calculations
21.7 Conclusion
References
22 Hydrogen Bonding in Crystalline Organic Solids
22.1 Introduction
22.2 NMR Chemical Shifts
22.3 Dipolar Couplings
22.4 Hydrogen Bond-Mediated J Couplings
22.5 Hydrogen-Bond Dynamics
22.6 Outlook
References
23 Inorganic Non-stoichiometric Crystalline Systems & Atomic Ordering
23.1 Introduction
23.2 NMR Interactions and Data Analysis
23.3 Example Applications
23.4 Conclusions
References
24 Rotational & Translational Dynamics
24.1 Introduction
24.2 NMR and Dynamics
24.3 Rotational Barriers and Symmetry
24.4 Dynamics and Dipolar Coupling
24.5 Deuterium NMR Lineshapes
24.6 Shielding and Dynamics
24.7 Noninteger Quadrupolar Dynamic Averaging
24.8 Concluding Remarks
References
25 Intramolecular Motion in Crystalline Organic Solids
25.1 Introduction
25.2 Dynamics and Structure
25.3 Effects of Dynamics on NMR Spectra
25.4 Characterization of Dynamics in Solids
25.5 Overview
References
26 Structural Phase Transitions
26.1 Introduction
26.2 The Classification of Phase Transitions
26.3 NMR Identification of Phase Changes
26.4 The Landau Theory
26.5 Pure Quadrupole Resonance
26.6 Dynamics at Structural Phase Transitions
26.7 Summary
References
Part F: Applications of NMR to Crystalline Solids
27 Structural Biology
27.1 Introduction
27.2 Sample Preparation
27.3 Assignment Strategies
27.4 Structural Restraints
27.5 Alternative Isotope Labeling Patterns
27.6 Structure Calculation and Refinement
27.7 Dynamics
27.8 Prospects
References
28 Organic & Pharmaceutical Chemistry
28.1 Introduction
28.2 Search for the Stereochemistry of Organic Compounds and Pharmaceuticals in the Solid State by Means of XRD and SSNMR
28.3 Polymorphism of Organic Compounds and Pharmaceuticals
28.4 Molecular Disorder
28.5 Cryocrystallography and Solid-State NMR
28.6 Conclusions
References
29 Inorganic & Materials Chemistry
29.1 Introduction
29.2 Space-Group Assignment
29.3 Toward Full Structural Determination using NMR
References
30 Geochemistry
30.1 Introduction
30.2 Al, Si Order/Disorder
30.3 Al Coordination in Minerals
30.4 Anion Order/Disorder in Minerals
30.5 Order/Disorder of Cations Other than Al, Si
30.6 Vacancy Defects
30.7 Speciation and the Structural Role of H
30.8 Structural Environment of other Minor Components
30.9 Potential Future Applications
References
Index
Contributors
Sharon E. Ashbrook
School of Chemistry and EaStCHEM, University of St Andrews, St Andrews KY16 9ST, UK
Chapter 16: Nuclear Quadrupole Coupling: An Introduction & Crystallographic Aspects
Matthias Bechmann
Department of Chemistry, University of York, Heslington YO10 5DD, UK
Chapter 6: Symmetry Effects at the Local Level
Darren H. Brouwer
Department of Chemistry, Redeemer University College, Ancaster, Ontario L9K 1J4, Canada
Chapter 18: Interplay between NMR & Single-crystal X-ray Diffraction
Steven P. Brown
Department of Physics, University of Warwick, Coventry CV4 7AL, UK
Chapter 22: Hydrogen Bonding in Crystalline Organic Solids
David L. Bryce
Department of Chemistry, University of Ottawa, Ottawa, Ontario K1N 6N5, Canada
Chapter 20: Tensor Interplay
Lindsay S. Cahill
Department of Physics, University of Warwick, Coventry CV4 7AL, UK
Chapter 21: Intermolecular Interactions & Structural Motifs
Ray Dupree
Physics Department, University of Warwick, Coventry CV7 4AL, UK
Chapter 29: Inorganic & Materials Chemistry
Lyndon Emsley
Centre de RMN à Très Hauts Champs (CNRS / ENS-Lyon / UCB Lyon 1), Université de Lyon, 69100 Villeurbanne, France
Chapter 14: Spin Diffusion in Crystalline Solids
Julio C. Facelli
Department of Biomedical Informatics and Center for High Performance Computing, University of Utah, Salt Lake City, UT 84112-0190, USA
Chapter 5: Magnetic Shielding & Chemical Shifts: BasicsChapter 8: Chemical Shifts & Solid-state Molecular-level Structure
Gillian R. Goward
Department of Chemistry, McMaster University, Hamilton, Ontario L8S 4M1, Canada
Chapter 21: Intermolecular Interactions & Structural Motifs
James K. Harper
Department of Chemistry, University of Utah, Salt Lake City, UT 84112, USA
Chapter 9: Chemical Shift Anisotropy & Asymmetry: Relationships to Crystal Structure
Kenneth D. M. Harris
School of Chemistry, Cardiff University, Cardiff CF10 3AT, UK
Chapter 19: Combined Analysis of NMR & Powder Diffraction Data
Robin K. Harris
Department of Chemistry, University of Durham, Durham DH1 3LE, UK
Chapter 1: Crystallography & NMR: an OverviewChapter 7: Chemical Shift Computations for Crystalline Molecular Systems: Practice
Paul Hodgkinson
Department of Chemistry, University of Durham, Durham DH1 3LE, UK
Chapter 7: Chemical Shift Computations for Crystalline Molecular Systems: PracticeChapter 25: Intramolecular Motion in Crystalline Organic Solids
Christopher P. Jaroniec
Department of Chemistry, Ohio State University, Columbus, OH 43210, USA
Chapter 11: Dipolar Recoupling: Heteronuclear
Kenneth R. Jeffrey
Department of Chemistry, University of Guelph, Guelph, Ontario N1G 2W1, Canada
Chapter 26: Structural Phase Transitions
Alexej Jerschow
Department of Chemistry, New York University, New York, NY 10003, USA
Chapter 2: Tensors in NMR
Anne Lesage
Laboratoire de Chimie, Ecole Normale Superieure de Lyon, 69364 Lyon 07, France
Chapter 15: Indirect Coupling & Connectivity
David A. Middleton
School of Biological Sciences, University of Liverpool, Liverpool L69 7ZB, UK
Chapter 27: Structural Biology
Anita M. Orendt
Center for High Performance Computing, University of Utah, Salt Lake City, UT 84112-0190, USA
Chapter 5: Magnetic Shielding & Chemical Shifts: BasicsChapter 8: Chemical Shifts & Solid-state Molecular-level Structure
Glenn H. Penner
Department of Chemistry, University of Guelph, Guelph, Ontario N1G 2W1, Canada
Chapter 26: Structural Phase Transitions
Brian L. Phillips
Department of Geosciences, Stony Brook University, Stony Brook, NY 11794-2100, USA
Chapter 30: Geochemistry
Chris J. Pickard
School of Physics & Astronomy, University of St. Andrews, St. Andrews KY16 9SS, UK
Chapter 3: Computation of Magnetic Resonance Parameters for Crystalline Systems: PrinciplesChapter 7: Chemical Shift Computations for Crystalline Molecular Systems: Practice
Marek J. Potrzebowski
Center of Molecular and Macromolecular Studies, Polish Academy of Sciences, 90-362 Łódź, Poland
Chapter 28: Organic & Pharmaceutical Chemistry
Christopher I. Ratcliffe
Steacie Institute for Molecular Sciences, National Research Council Canada, Ottawa, Ontario K1A 0R6, Canada
Chapter 24: Rotational & Translational Dynamics
Detlef Reichert
Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06108 Halle, Germany
Chapter 13: Dipolar Coupling: Molecular-level Mobility
Kay Saalwächter
Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, D-06108 Halle, Germany
Chapter 13: Dipolar Coupling: Molecular-level Mobility
Angelika Sebald
Department of Chemistry, University of York, Heslington YO10 5DD, UK
Chapter 6: Symmetry Effects at the Local Level
S. Chandra Shekar
Department of Chemistry, New York University, New York, NY 10003, USA
Chapter 2: Tensors in NMR
Mark E. Smith
Department of Physics, University of Warwick, Coventry CV4 7AL, UK
Chapter 23: Inorganic Non-stoichiometric Crystalline Systems & Atomic Ordering
Francis Taulelle
Lavoisier Institute, University of Versailles-Saint-Quentin-en-Yvelines, 78035 Versailles, France
Chapter 17: Fundamental Principles of NMR Crystallography
Jeremy J. Titman
School of Chemistry, University of Nottingham, Nottingham NG7 2RD, UK
Chapter 4: Experimental Characterization of Nuclear Spin Interaction Tensors
Robert Tycko
Laboratory of Chemical Physics, National Institute of Diabetes and Digestive and Kidney Diseases, National Institutes of Health, Bethesda, MD 20892-0520, USA
Chapter 12: Dipolar Recoupling: Homonuclear
Roderick E. Wasylishen
Department of Chemistry, Gunning/Lemieux Chemistry Centre, University of Alberta, Edmonton, Alberta T6G 2G2, Canada
Chapter 10: Dipolar & Indirect Coupling: Basics
Stephen Wimperis
Department of Chemistry and WestCHEM, University of Glasgow, Glasgow G12 8QQ, UK
Chapter 16: Nuclear Quadrupole Coupling: An Introduction & Crystallographic Aspects
Mingcan Xu
School of Chemistry, Cardiff University, Cardiff CF10 3AT, UK
Chapter 19: Combined Analysis of NMR & Powder Diffraction Data
Jonathan R. Yates
TCM Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 OHE, UK
Chapter 3: Computation of Magnetic Resonance Parameters for Crystalline Systems: PrinciplesChapter 7: Chemical Shift Computations for Crystalline Molecular Systems: Practice
Vadim Zorin
Department of Chemistry, University of Durham, Durham DH1 3LE, UK
Chapter 7: Chemical Shift Computations for Crystalline Molecular Systems: Practice
Series Preface
The Encyclopedia of Nuclear Magnetic Resonance was published in eight volumes in 1996, in part to celebrate the fiftieth anniversary of the first publications in NMR in January 1946. Volume 1 contains an historical overview and ca. 200 short personal articles by prominent NMR practitioners, while the remaining seven volumes comprised ca. 500 articles on a wide variety of topics in NMR (including MRI). Two “spin-off” volumes incorporating the articles on MRI and MRS (together with some new ones) were published in 2000 and a ninth volume was brought out in 2002. In 2006, the decision was taken to publish all the articles electronically (i.e. on the World Wide Web) and this was carried out in 2007. Since then, new articles have been placed on the web every three months and a number of the original articles have been updated. This process is continuing. The overall title has been changed to the Encyclopedia of Magnetic Resonance to allow for future articles on EPR and to accommodate the sensitivities of medical applications.
The existence of this large number of articles, written by experts in various fields, is enabling a new concept to be implemented, namely the publication of a series of printed handbooks on specific areas of NMR and MRI. The chapters of each of these handbooks will comprise a carefully chosen selection of Encyclopedia articles relevant to the area in question. In consultation with the Editorial Board, the handbooks are coherently planned in advance by specially selected editors. New articles are written and existing articles are updated to give appropriate complete coverage of the total area. The handbooks are intended to be of value and interest to research students, postdoctoral fellows, and other researchers learning about the topic in question and undertaking relevant experiments, whether in academia or industry.
Robin K. Harris
University of Durham, Durham, UK
Roderick E. Wasylishen
University of Alberta, Edmonton, Alberta, Canada
November 2009
Volume Preface
Since the earliest days of NMR, it has been recognized that the technique can provide information on matters concerning the disposition of atoms in the unit cells of crystals. Thus, the distance between protons in the water molecules of gypsum, CaSO4 · 2H2O, was determined by Pake and reported as 1.58 Å in 1948. However, the term NMR crystal-lography has only recently come into common usage, and even now causes raised eyebrows within some parts of the diffraction community. On the other hand, the power of solid-state NMR to give crystallo-graphic information has considerably increased since the CPMAS suite of techniques was introduced in 1976. In the first years of the 21st century, the ability of NMR to provide information to support and facilitate the analysis of single-crystal and powder diffraction patterns has become widely accepted. Indeed, NMR can now be used to refine diffraction results and, in favorable cases, to solve crystal structures with minimal (or even no) diffraction data. The increasing ability to relate chemical shifts (including the tensor components) to the crystallographic location of relevant atoms in the unit cell via computational methods has added significantly to the practice of NMR crystallography. Of course, NMR will never replace diffraction techniques in the determination of atomic positions in crystal structures, but diffraction experts will increasingly welcome NMR as an ally in their structural analyses. Indeed, it may be that in future crystal structures will be determined by simultaneously fitting diffraction patterns and NMR spectra.
However, NMR can also supply information on crystal structures which is inaccessible or very difficult to obtain by diffraction methods. Prominent among such investigations is the determination of dynamics at the molecular level in crystalline materials. There are many NMR methods for studying such motion, including relaxation measurements as well as spectral features, and they cover a vast range of motional rates. NMR can frequently distinguish between static and dynamic disorders.
Thus NMR crystallography can and should be considered as both complementary and supplementary to diffraction crystallography. At the time of writing there are few reviews and no books on NMR crystallography. It therefore seems to be timely to produce this handbook. The chapters herein, though taken from articles in the electronic version of the Encyclopedia of Magnetic Resonance, were commissioned specifically with this handbook in mind. The editors have attempted to produce a coherent set of chapters covering most aspects of NMR crystallography in a reasonably uniform way. Of course, since each chapter has its specific authors (expert in the topics in question) there will undoubtedly be some small degree of overlap between them and possibly a few lacunae. However, the handbook should be of value not only to students and practitioners of solid-state NMR but also to the wider crystallo-graphic community.
Some care has been taken to achieve consistency of symbols and notation, but there remain a few variations between chapters (for example, in the symbols used for dipolar coupling constants).
Finally, it may be noted that single-crystal NMR work, though feasible, is relatively unusual, so most studies involve microcrystalline/polycrystalline samples. Little information is sacrificed by this usage. Heterogeneous systems containing crystalline components are also amenable to study. Moreover, structural information at the molecular level (including geometrical data) can be obtained by NMR from amorphous and glassy materials, again with little loss. Although that situation is hinted at in various parts of the handbook, it is not specifically covered, though matters such as defect and other nonstoichiometric structures are discussed.
The handbook is organized into six parts. The first contains an overview and some chapters on fundamental NMR topics. Next comes a part concentrating on chemical shifts, followed by one on coupling interactions. Part D contains chapters describing how NMR results relate to fundamental crystallography concepts and to diffraction methods. The fifth part concerns specific aspects of structure, such as hydrogen bonding, and also has chapters on questions of molecular-level mobility and phase transitions. Finally, the four chapters in the last part give applications of NMR crystallography to structural biology, organic and pharmaceutical chemistry, inorganic and materials chemistry, and geochemistry.
As mentioned above, the articles are also to be found, with minimal differences but changed format, in the online Encyclopedia of Magnetic Resonance, which is at: http://www.mrw.interscience.wiley.com/emr. The online versions also contain brief autobiographies of the article authors, a list of related Encyclopedia articles, and, in a number of cases, acknowledgements by the authors. They also have cross-references to Encyclopedia articles which are not part of this handbook. Additionally, article abstracts and key words can be found online.
We are grateful to all the authors involved in this handbook for their agreements to write the online articles which preceded the handbook, for their expert texts and for their cooperation in reaching this stage. We also thank the people at Wiley and at Laserwords for all their hard work in bringing the handbook to the point of publication.
We offer this handbook in the hope that it will not only provide valuable information for a wide range of scientists but that it will also stimulate further advances in NMR crystallography.
Robin K. Harris
University of Durham, Durham, UK
Roderick E. Wasylishen
University of Alberta, Edmonton, Alberta, Canada
Melinda J. Duer
University of Cambridge, Cambridge, UK
November 2009
NMR Abbreviations and Acronyms
ABMS
Anisotropy of the Bulk Magnetic Susceptibility
ADRF
Adiabatic Demagnetization in the Rotating Frame
APT
Attached Proton Test
ARP
Adiabatic Rapid Passage
BIRD
BIlinear Rotation Decoupling
BLEW
A windowless multiple-pulse decoupling sequence
BR-24
Burum & Rhim (pulse sequence)
CIDNP
Chemically Induced Dynamic Nuclear Polarization
CIS
Complexation-Induced Shift
CODEX
Centerband only Detection of Exchange Experiment
COSY
Correlation Spectroscopy
CP
Cross Polarization
CPMAS
Cross Polarization with Magic Angle Spinning
CPMG
Carr-Purcell pulse sequence, Meiboom-Gill modification
CRAMPS
Combined Rotation and Multiple-Pulse Spectroscopy
CS
Chemical Shift
CSA
Chemical Shift Anisotropy
CST
Chemical Shift Tensor
CT
Central Transition
CT
Contact Time
CW
Continuous Wave
CYCLOPS
CYCLically Ordered Phase Sequence
D
Dipolar
DANTE
Delays Alternating with Nutations for Tailored Excitation
DAS
Dynamic Angle Spinning
DD
Dipole-Dipole
DEPT
Distortionless Enhancement by Polarization Transfer
DNP
Dynamic Nuclear Polarization
DOR
Double Rotation
DQ
Double Quantum
DQC
Double-Quantum Coherence
DQF
Double-Quantum Filtered
DRSE
Dipolar-Rotational Spin Echoes
DUMBO
Decoupling Using Mind-Boggling Optimization
EFG
Electric Field Gradient
ENDOR
Electron-Nucleus DOuble Resonance
EPR
Electron Paramagnetic Resonance
ESR
Electron Spin Resonance
EXSY
EXchange SpectroscopY
FC
Fermi-Contact
FFT
Fast-Fourier Transform
FID
Free Induction Decay
FIREMAT
Five π Replicated Magic Angle Turning
FSLG
Frequency-Switched Lee Goldburg
FT
Fourier Transform
HDOR
Heteronuclear Dipolar-Order Rotor-Encoding
HETCOR
Heteronuclear Correlation
HMQC
Heteronuclear Multiple Quantum Coherence
HOHAHA
HOmonuclear HArtman-HAhn
HSQC
Heteronuclear Single-Quantum Correlation
IBMS
Isotropic Bulk Magnetic Susceptibility
INADEQUATE
Incredible Natural Abundance Double Quantum Transfer Experiment
INEPT
Insensitive Nuclei Enhanced by Polarization Transfer
INEPT-HSQC
Insensitive Nuclei Enhanced By Polarization Transfer-Heteronuclear Single-Quantum Correlation
LG-CP
Lee-Goldberg CP
MAS
Magic Angle Spinning
MAS-J-HMQC
Magic Angle Spinning-JHeteronuclear Multiple Quantum Correlation
MAS-J-HSQC
Magic Angle Spinning-J-Single Quantum Correlation
MLEV-4
A broadband decoupling sequence
MQ
Multiple-quantum
MQMAS
Multiple-Quantum Magic-Angle Spinning
MREV
Mansfield, Rhim, Elleman, & Vaughan (pulse sequence)
MRI
Magnetic Resonance Imaging
NICS
Nucleus Independent Chemical Shift
NOE
Nuclear Overhauser Effect
NOESY
(Two-dimensional) NOE SpectroscopY
NQCC
Nuclear Quadrupole Coupling Constant
NQR
Nuclear Quadrupole Resonance
ODESSA
One-Dimensional Exchange Spectroscopy by Sideband Alternation
PAS
Principal Axis System
PDSD
Proton-Driven Spin Diffusion
PFG
Pulsed Field Gradient
PMLG
Phase-Modulated Lee Goldburg
PRESTO-II
Phase-Shifted Recoupling Effects a Smooth Transfer of Order
PSD
Proton Spin-Diffusion
Q
Quadrupolar
QF
Quadrupole moment/Field gradient (interaction or relaxation mechanism)
2QF-COSY
Double-Quantum-Filtered Correlation Spectroscopy
REAPDOR
Rotational Echo Adiabatic Passage Double Resonance
REDOR
Rotational-Echo Double-Resonance
RELM
Rotor-Encoding of Longitudinal Magnetization
REPT-HMQC
Recoupled Polarization-Transfer Heteronuclear Multiple-Quantum Correlation
REREDOR
Rotor-Encoded Rotational Echo
RF
Radio Frequency
RFDR
Radio Frequency Driven Recoupling
SA
Shielding Anisotropy
SD
Spin-Dipolar
SECSY
Spin Echo Correlation SpectroscopY
SEDOR
Spin Echo DOuble Resonance
SEFT
Spin Echo Fourier Transform
SLF
Separated-Local Field
SPI
Selective Population Inversion
SPT
Selective Population Transfer
SR
Spin-Rotation (interactive or relaxation mechanism)
ssb
Spinning Sidebands
SSNMR
Solid-State Nuclear Magnetic Resonance
STMAS
Satellite Transition Magic-Angle Spinning
TEDOR
Transferred Echo Double Resonance
TOCSY
Total Correlation Spectroscopy
TOSS
TOtal Suppression of Sidebands
TRAPDOR
Transfer of Population in Double Resonance
UC2QF-COSY
Uniform-Sign Cross-Peak Double-Quantum-Filtered Correlation Spectroscopy
UE
Unpaired Electron relaxation mechanism
VAS
Variable Angle Spinning
WAHUHA
WAugh, HUber, & HAeberlen (pulse sequence)
WALTZ-16
A broadband decoupling sequence
WISE
Wide-Line Separation
ZQ(C)
Zero Quantum (Coherence)
PART A
Introduction
Chapter 1
Crystallography & NMR: an Overview
Robin K. Harris
Department of Chemistry, University of Durham, Durham DH1 3LE, UK
Although there is no problem defining nuclear magnetic resonance (NMR), different people interpret the term crystallography differently. In particular, experts in diffraction studies of crystals frequently use the term as though it is synonymous with structural information obtained by diffraction methods. However, historically, crystals were studied and classified by their morphology alone. It became recognized, for example, that different habits can result from the same underlying symmetry.
The term crystallography is derived from the Greek words crystallon, meaning cold drop/frozen drop, and graphein, meaning “write”. It refers to the experimental science of determining the arrangement of atoms in solids, specifically for what are now called solids. In older usage, it is simply the scientific study of crystals. The use of the words “atoms in solids” implies that amorphous solids may be included in “crystallography”, but this is contentious and such systems will not, in general, be dealt with here. Moreover, the original usage of the word (dating from eighteenth century Latin “crystallographic” and French “cristallographie”) referred to the external shape of crystals (morphology) rather than the internal structure, and this is still included in the normal meaning. Dictionaries define “crystallography” in various ways. Some include both internal arrangement and external morphology of crystals. Others discuss the properties of crystals and/or their classification. One of the simplest definitions states merely “the study of crystal form and structure”. Most dictionaries (as opposed to encyclopedias) do not mention diffraction in the definition.
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