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Summary
Summary
This is the first book to present the necessary quantum chemical methods for both resonance types in one handy volume, emphasizing the crucial interrelation between NMR and EPR parameters from a computational and theoretical point of view.
Here, readers are given a broad overview of all the pertinent topics, such as basic theory, methodic considerations, benchmark results and applications for both spectroscopy methods in such fields as biochemistry, bioinorganic chemistry as well as with different substance classes, including fullerenes, zeolites and transition metal compounds. The chapters have been written by leading experts in a given area, but with a wider audience in mind.
The result is the standard reference on the topic, serving as a guide to the best computational methods for any given problem, and is thus an indispensable tool for scientists using quantum chemical calculations of NMR and EPR parameters.
A must-have for all chemists, physicists, biologists and materials scientists who wish to augment their research by quantum chemical calculations of magnetic resonance data, but who are not necessarily specialists in these methods or their applications. Furthermore, specialists in one of the subdomains of this wide field will be grateful to find here an overview of what lies beyond their own area of focus.
Author Notes
Martin Kaupp is Professor at the Institut fur Anorganische Chemie at Universitat Wurzburg
Michael Buhl is Research Associate in the Theoretical Department of the Max-Planck-Institut fur Kohlenforschung in Mulheim/Ruhr (Germany) and lecturer at the University of Wuppertal
Vladimir G. Malkin is a Leading Research Scientist at the Institute of Inorganic Chemistry of the Slovak Academy of Sciences (Bratislava, Slovak Republic)
Table of Contents
Foreword | p. XIII |
List of Contributors | p. XV |
Part A Introductory Chapters | |
1 Introduction: The Quantum Chemical Calculation of NMR and EPR Parameters | p. 3 |
2 Theory of NMR parameters. From Ramsey to Relativity, 1953 to 1983 | p. 7 |
2.1 Introduction | p. 7 |
2.2 Spin-Spin Coupling | p. 9 |
2.3 Chemical Shifts | p. 11 |
2.4 General Aspects | p. 13 |
2.5 From 1983 to 2003 | p. 15 |
3 Historical Aspects of EPR Parameter Calculations | p. 21 |
4 The Effective Spin Hamiltonian Concept from a Quantum Chemical Perspective | p. 33 |
5 Fundamentals of Nonrelativistic and Relativistic Theory of NMR and EPR Parameters | p. 43 |
5.1 Introduction | p. 43 |
5.2 Classical Theory of the Interaction of a Charged Particle with an Electromagnetic Field | p. 44 |
5.3 Quantum Mechanical Hamiltonians in a Time-Independent Electromagnetic Field | p. 50 |
5.4 Perturbation Theory of Magnetic Effects | p. 58 |
5.5 Non-Relativistic Theory of EPR and NMR Parameters | p. 62 |
5.6 Relativistic Theory of Magnetic Properties | p. 69 |
5.7 The Leading Relativistic Corrections | p. 72 |
5.8 Concluding Remarks | p. 81 |
Part B NMR Parameters, Methodological Aspects | |
6 Chemical Shifts with Hartree-Fock and Density Functional Methods | p. 85 |
6.1 Introduction | p. 85 |
6.2 Linear Response and the Gauge Origin Problem | p. 88 |
6.3 Determination of the First-Order Orbitals | p. 90 |
6.4 Distributed Gauge Origins, IGLO and GIAO Approaches | p. 92 |
6.5 Distributed Gauge Origins in Real Space, a "Continuous Set of Gauge Transformations" | p. 96 |
6.6 Beyond Pure Density Functional Theory | p. 97 |
6.7 Conclusions | p. 99 |
7 Spin-Spin Coupling Constants with HF and DFT Methods | p. 101 |
7.1 Introduction | p. 101 |
7.2 The Calculation of Indirect Nuclear Spin-Spin Coupling Constants | p. 102 |
7.3 Examples of Applications | p. 115 |
7.4 Conclusions | p. 119 |
8 Electron-Correlated Methods for the Calculation of NMR Chemical Shifts | p. 123 |
8.1 Introduction | p. 123 |
8.2 Theoretical Background | p. 125 |
8.3 Electron-Correlated Treatment of NMR Chemical Shifts | p. 132 |
8.4 Special developments | p. 133 |
8.5 Numerical Results | p. 134 |
8.6 Summary and Outlook | p. 136 |
9 Semiempirical Methods for the Calculation of NMR Chemical Shifts | p. 141 |
9.1 Introduction | p. 141 |
9.2 Methods | p. 142 |
9.3 Representative Applications | p. 147 |
9.4 Concluding Remarks: Limitations of Semiempirical Methods for the Calculation of NMR Parameters | p. 151 |
10 Ro-Vibrational Corrections to NMR Parameters | p. 153 |
10.1 Introduction | p. 153 |
10.2 Perturbation Theory | p. 154 |
10.3 Other Approaches for Calculating Vibrationally Averaged NMR Properties | p. 163 |
10.4 Examples of Vibrational Contributions to NMR Properties | p. 164 |
10.5 Summary | p. 171 |
11 Molecular Dynamics and NMR Parameter Calculations | p. 175 |
11.1 Introduction | p. 175 |
11.2 Methods | p. 176 |
11.3 Examples | p. 182 |
11.4 Summary and Conclusions | p. 187 |
12 Use of Continuum Solvent Models in Magnetic Resonance Parameter Calculations | p. 191 |
12.1 Introduction | p. 191 |
12.2 General Features of Continuum Models | p. 192 |
12.3 Applications of Continuum Models to the Prediction of NMR Parameters | p. 197 |
12.4 Applications of Continuum Models to the Prediction of EPR Parameters | p. 201 |
12.5 Conclusions | p. 205 |
13 Perturbational and ECP Calculation of Relativistic Effects in NMR Shielding and Spin-Spin Coupling | p. 209 |
13.1 Introduction | p. 209 |
13.2 Nuclear Shielding and Spin-Spin Coupling | p. 210 |
13.3 Electronic Hamiltonian | p. 211 |
13.4 Non-Relativistic Contributions | p. 212 |
13.5 Relativistic Kinematics and the Spin-Zeeman Effect | p. 213 |
13.6 Spin-Orbit Coupling | p. 216 |
13.7 Relativistic Corrections to Shielding and Coupling | p. 217 |
13.8 Conclusions | p. 223 |
14 Calculation of Heavy-Nucleus Chemical Shifts. Relativistic All-Electron Methods | p. 227 |
14.1 Introduction | p. 227 |
14.2 Methodological Aspects | p. 229 |
14.3 Computational Results | p. 234 |
14.4 Summary | p. 244 |
15 Relativistic Calculations of Spin-Spin Coupling Constants of Heavy Nuclei | p. 249 |
15.1 Introduction | p. 249 |
15.2 Methodological Aspects | p. 251 |
15.3 Computational Results | p. 253 |
15.4 Summary | p. 262 |
16 Calculations of Magnetic Resonance Parameters in Solids and Liquids Using Periodic Boundary Conditions | p. 265 |
16.1 Introduction | p. 265 |
16.2 Cluster Approaches to Extended Systems | p. 265 |
16.3 The Limitations of the Cluster Approach | p. 266 |
16.4 Infinite Crystals, Periodic Boundary Conditions | p. 267 |
16.5 Magnetic Resonance Parameters within Periodic Boundary Conditions | p. 267 |
16.6 Applications of the Planewave-GIPAW Method | p. 272 |
16.7 Work in Progress and Future Challenges | p. 275 |
16.8 Conclusion | p. 276 |
17 Calculation of Nuclear Quadrupole Coupling Constants | p. 279 |
17.1 Introduction | p. 279 |
17.2 Nuclear Quadrupole Moments | p. 282 |
17.3 Field Gradients from Ab Initio Calculations | p. 285 |
17.4 Field Gradients from Density Functional Calculations | p. 288 |
18 Interpretation of NMR Chemical Shifts | p. 293 |
18.1 Introduction | p. 293 |
18.2 Nonrelativistic Case | p. 295 |
18.3 Relativistic Effects | p. 302 |
18.4 Concluding Remarks | p. 305 |
19 Interpretation of Indirect Nuclear Spin-Spin Coupling Constants | p. 307 |
19.1 Introduction | p. 307 |
19.2 The Dirac Vector Model of Spin-Spin Coupling | p. 309 |
19.3 Decomposition into Individual Contributions | p. 310 |
19.4 Visualization of Coupling by Real-Space Functions | p. 318 |
19.5 Conclusions | p. 323 |
20 First-Principles Calculations of Paramagnetic NMR Shifts | p. 325 |
20.1 Introduction | p. 325 |
20.2 Paramagnetic Shielding Tensor: The General Case Treatment | p. 326 |
20.3 Paramagnetic Shielding for an Isolated Kramers Doublet State | p. 330 |
20.4 Practical Applications | p. 333 |
20.5 Conclusions | p. 337 |
Part C NMR Parameters, Applications | |
21 NMR Parameters in Proteins and Nucleic Acids | p. 341 |
21.1 Introduction | p. 341 |
21.2 Chemical Shifts, Classical Models | p. 342 |
21.3 Chemical Shifts Calculations on Polypeptides and Proteins | p. 345 |
21.4 Chemical Shifts in Nucleic Acids | p. 346 |
21.5 Indirect Spin-Spin Couplings in Biomolecules | p. 347 |
21.6 Conclusions | p. 349 |
22 Characterizing Two-Bond NMR [superscript 13]C-[superscript 15]N, [superscript 15]N-[superscript 15]N, and [superscript 19]F-[superscript 15]N Spin-Spin Coupling Constants across Hydrogen Bonds Using Ab Initio EOM-CCSD Calculations | p. 353 |
22.1 Introduction | p. 353 |
22.2 Methods | p. 354 |
22.3 Discussion | p. 355 |
22.4 Concluding Remarks | p. 369 |
23 Calculation of NMR Parameters in Carbocation Chemistry | p. 371 |
23.1 Introduction | p. 371 |
23.2 Alkyl and Cycloalkyl Cations | p. 372 |
23.3 Bicyclic and Polycyclic Carbocations | p. 379 |
23.4 Vinyl Cations | p. 382 |
23.5 [pi]-Stabilized Carbocations | p. 384 |
23.6 Heteroatom Stabilized Carbocations | p. 388 |
23.7 Conclusions | p. 391 |
24 Aromaticity Indices from Magnetic Shieldings | p. 395 |
24.1 Introduction | p. 395 |
24.2 An Overview of Aromaticity Indices Based on Magnetic Shielding | p. 395 |
24.3 Applications | p. 401 |
24.4 Outlook | p. 405 |
25 Fullerenes | p. 409 |
25.1 Introduction | p. 409 |
25.2 Efficient Computation of NMR Parameters of Fullerenes and Their Derivatives | p. 410 |
25.3 Classical IPR Fullerenes | p. 411 |
25.4 [superscript 13]C NMR Spectra of Isomeric Fullerene Addition Compounds | p. 413 |
25.5 Endohedral Fullerenes | p. 414 |
25.6 Fullerene Dimers and Dimer-like Compounds | p. 416 |
25.7 Solid State NMR of Fullerenes | p. 418 |
25.8 Summary and Perspectives | p. 418 |
26 NMR of Transition Metal Compounds | p. 421 |
26.1 Introduction | p. 421 |
26.2 Ligand Chemical Shifts | p. 422 |
26.3 Metal Chemical Shifts | p. 424 |
26.4 Spin-Spin Coupling Constants | p. 427 |
26.5 Miscellaneous | p. 428 |
26.6 Conclusion and Outlook | p. 429 |
27 Characterization of NMR Tensors via Experiment and Theory | p. 433 |
27.1 Introduction | p. 433 |
27.2 Magnetic Shielding and Chemical Shifts | p. 434 |
27.3 Nuclear Spin-Spin Coupling | p. 439 |
27.4 NMR Spectra of Quadrupolar Nuclei in Solids | p. 443 |
27.5 Conclusions | p. 444 |
28 Calculations of Nuclear Magnetic Resonance Parameters in Zeolites | p. 449 |
28.1 Introduction | p. 449 |
28.2 Theoretical Methods | p. 451 |
28.3 NMR of Framework Elements: Structure Characterization | p. 453 |
28.4 [superscript 1]H NMR: Acidity and Proton Transfer | p. 455 |
28.5 NMR Studies of Guest Molecules in Zeolites: in situ NMR | p. 457 |
28.6 Conclusions | p. 459 |
Part D EPR Parameters, Methodological Aspects | |
29 DFT Calculations of EPR Hyperfine Coupling Tensors | p. 463 |
29.1 Introduction | p. 463 |
29.2 Theoretical Background | p. 464 |
29.3 The Performance of the Model | p. 467 |
29.4 Concluding Remarks | p. 479 |
30 Ab Initio Post-Hartree-Fock Calculations of Hyperfine Coupling Tensors and Their Comparison with DFT Approaches | p. 483 |
30.1 Introduction | p. 483 |
30.2 Problems Appearing in MR-CI Computations of A[subscript iso] | p. 485 |
30.3 Error Cancellations in Computations of A[subscript iso] with DFT | p. 489 |
30.4 Concluding Remarks | p. 491 |
31 Alternative Fermi Contact Operators for EPR and NMR | p. 493 |
31.1 Introduction | p. 493 |
31.2 Derivation of New Alternative Operators | p. 494 |
31.3 Formal Properties of Short-Range Alternative Operators | p. 496 |
31.4 EPR Calculations | p. 499 |
31.5 NMR Calculations | p. 501 |
31.6 Conclusions | p. 503 |
32 Calculation of EPR g-Tensors with Density Functional Theory | p. 505 |
32.1 Introduction | p. 505 |
32.2 The Physical Origin of the g-Tensor | p. 506 |
32.3 DFT Expressions for g-Tensors of Isolated Molecules | p. 508 |
32.4 Numerical Performance of the DFT Approaches | p. 519 |
32.5 Summary and Outlook | p. 530 |
33 Ab Initio Calculations of g-Tensors | p. 533 |
34 Zero-Field Splitting | p. 541 |
34.1 Introduction | p. 541 |
34.2 Zero-Field Splittings in EPR Spectroscopy | p. 542 |
34.3 Theory of Zero-Field Splittings | p. 552 |
34.4 Calculation of Zero-Field Splittings | p. 557 |
34.5 Conclusions | p. 561 |
Part E EPR Parameters, Applications | |
35 Computation of Hyperfine Coupling Tensors to Complement EPR Experiments | p. 567 |
35.1 Introduction | p. 567 |
35.2 Insight Gained from a Conventional Ab Initio Approach | p. 568 |
35.3 Benchmark Results Using Conventional Methods on Static Gas-phase Structures | p. 568 |
35.4 The Performance of Contracted Pople Basis Sets for Small Radicals Consisting Only of First-Row Atoms | p. 570 |
35.5 Density Functional Theory: An Alternative to a Conventional Ab Initio Approach | p. 571 |
35.6 Consideration of Environmental Effects | p. 572 |
35.7 Illustration of the Applications of DFT Methods to Biological Radicals | p. 574 |
35.8 Summary | p. 578 |
36 Applications to EPR in Bioinorganic Chemistry | p. 581 |
36.1 Introduction | p. 581 |
36.2 Biological Metal Sites | p. 582 |
36.3 Concluding Remark | p. 589 |
Index | p. 593 |