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Computational Materials Discovery

Computational Materials Discovery

Artem R Oganov | Gabriele Saleh | Alexander G Kvashnin

(2018)

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Book Details

Abstract

New technologies are made possible by new materials, and until recently new materials could only be discovered experimentally. Recent advances in solving the crystal structure prediction problem means that the computational design of materials is now a reality.

Computational Materials Discovery provides a comprehensive review of this field covering different computational methodologies as well as specific applications of materials design. The book starts by illustrating how and why first-principle calculations have gained importance in the process of materials discovery. The book is then split into three sections, the first exploring different approaches and ideas including crystal structure prediction from evolutionary approaches, data mining methods and applications of machine learning. Section two then looks at examples of designing specific functional materials with special technological relevance for example photovoltaic materials, superconducting materials, topological insulators and thermoelectric materials. The final section considers recent developments in creating low-dimensional materials.

With contributions from pioneers and leaders in the field, this unique and timely book provides a convenient entry point for graduate students, researchers and industrial scientists on both the methodologies and applications of the computational design of materials.


Table of Contents

Section Title Page Action Price
Cover Cover
Copyright iv
Editor Biographies v
Contents vii
Chapter 1 Computational Materials Discovery: Dream or Reality? 1
Acknowledgements 10
References 10
Chapter 2 Computational Materials Discovery Using Evolutionary Algorithms 15
2.1 A Bit of Theory 16
2.1.1 Combinatorial Complexity of the Problem 16
2.2 How the Method Works 19
2.2.1 Initialization 21
2.2.2 Representation 21
2.2.3 Fitness Function 24
2.2.4 Selection 27
2.2.5 Variation Operators 27
2.2.6 How to Avoid Getting Stuck to Local Minima 28
2.2.7 Extension to Variable-composition Systems 29
2.2.8 Extension to Molecular Crystals 30
2.2.9 A Few Comments on the Performance of the Method 32
2.3 A Few Illustrations of the Method 34
2.3.1 Novel Chemistry of the Elements Under Pressure 34
2.3.2 Low-dimensional States of the Elements 40
2.3.3 Discovering New Chemical Compounds at High Pressure… and Even at Zero Pressure 41
2.3.4 Hunt for High-Tc Superconductivity 48
2.3.5 Low-dimensional Systems: Surfaces, Polymers, Nanoparticles, Proteins 52
2.4 Conclusions 59
Acknowledgements 59
References 59
Chapter 3 Applications of Machine Learning for Representing Interatomic Interactions 66
3.1 Introduction 66
3.1.1 Quantum-mechanical Models 67
3.1.2 Empirical Interatomic Potentials 67
3.1.3 Machine Learning Interatomic Potentials 68
3.2 Simple Problem: Fitting of Potential Energy Surfaces 69
3.2.1 Representation of Atomic Systems 69
3.2.2 An Overview of Machine Learning Methods 70
3.3 Machine Learning Interatomic Potentials 71
3.3.1 Representation of Atomic Environments 73
3.3.2 Existing MLIPs 74
3.4 Fitting and Testing of Interatomic Potentials 77
3.4.1 Optimization Algorithms 77
3.4.2 Validation and Cross-validation 78
3.4.3 Learning on the Fly 79
3.5 Discussion 82
3.5.1 Which Potential Is Better? 82
3.5.2 Open Problems in MLIP Development 82
3.6 Further Reading 83
References 84
Chapter 4 Embedding Methods in Materials Discovery 87
4.1 Preamble 87
4.2 Background 88
4.3 Embedding Methods 90
4.3.1 Partitioning of the Structure and Interactions 91
4.3.2 Self-consistent Embedding 96
4.3.3 Beyond DFT Treatment of the Cluster Part – Viva Quantum Chemistry 97
4.4 Applications 98
4.4.1 Why Embedding? 98
4.4.2 Energetics 99
4.4.3 Spectroscopic Properties 100
4.4.4 Electronic Properties 103
4.4.5 Hybrid Embedding Approach 104
4.4.6 Derivation of Model Parameters 105
4.5 Outlook 105
Acknowledgements 106
References 106
Chapter 5 Chemical Bonding Investigations for Materials 117
5.1 Introduction 117
5.2 Paradigms of Chemistry and Chemical Bonding Descriptors 118
5.2.1 Topological Methods, Quantum Chemical Topology and Beyond 118
5.2.2 Orbital Based Methods 144
5.3 Selected Applications 154
5.3.1 Charge Transfer and Bonding in γ-Boron 155
5.3.2 Xe Oxides 160
5.3.3 He Forms Compounds at High Pressure 163
5.3.4 Phase Change Materials 165
5.4 Conclusion 166
Acknowledgements 166
References 166
Chapter 6 Computational Design of Photovoltaic Materials 176
6.1 Introduction 176
6.2 The Design Process 177
6.2.1 Requirements 178
6.2.2 Design 178
6.2.3 Development 179
6.2.4 Testing 180
6.3 Practical Computational Techniques 180
6.4 The Scale of the Search 181
6.4.1 The Combinatorial Approach 181
6.4.2 Chemical Filters and Simple Descriptors 183
6.5 New Materials for Photovoltaics 185
6.5.1 Hierarchy of Screening 187
6.5.2 Bespoke Figures of Merit 193
6.6 Conclusions 194
Acknowledgements 194
References 195
Chapter 7 First-Principles Computational Approaches to Superconducting Transition Temperatures: Phonon-Mediated Mechanism and Beyond 198
7.1 Introduction 198
7.2 Theory of Phonon-mediated Superconductivity 199
7.2.1 Eliashberg Theory 200
7.2.2 Density Functional Theory for Superconductors 208
7.2.3 Comparison between the ME Theory and SCDFT 220
7.3 First-Principles Calculation 221
7.3.1 The Workflow 221
7.3.2 Integration of Singular Functions 223
7.4 Applications 225
7.4.1 Eliashberg Equations 225
7.4.2 SCDFT Gap Equation 226
7.4.3 A Case Study: Hydrogen Sulfide 230
7.5 Discussions and Concluding Remarks 232
References 234
Chapter 8 Quest for New Thermoelectric Materials 240
8.1 Introduction 240
8.2 Brief Introduction to Boltzmann Transport Theory of Thermoelectric Phenomena 242
8.2.1 General Concepts 243
8.2.2 Relaxation Time Approximation 244
8.2.3 Thermoelectric Figure of Merit 247
8.3 Search Strategies and Design Metrics 249
8.3.1 Reduced Power Factors sS2/t and sS2/γ 249
8.3.2 Thermoelectric Quality Factor β 254
8.3.3 Lattice Thermal Conductivity kL 257
8.4 Computational Searches 260
8.4.1 Chemical and Structural Search Spaces 260
8.4.2 Examples of High-throughput Searches 263
8.4.3 Examples of Targeted and Data-driven Searches 269
8.4.4 Discoveries from High-throughput Computational Searches 273
8.5 Role of Experimental Validation 276
8.5.1 Experimental Collaborators 276
8.5.2 Validation of Predicted Properties 276
8.5.3 High zT Demonstration 278
8.6 Outstanding Challenges 282
8.6.1 Dopability of Semiconductors 282
8.6.2 Materials at Elevated Temperatures 283
8.6.3 Beyond Boltzmann Transport 283
Acknowledgements 284
References 284
Chapter 9 Rational Design of Polymer Dielectrics: An Application of Density Functional Theory and Machine Learning 293
9.1 Introduction 293
9.1.1 General Background 293
9.1.2 Polymers as Capacitor Dielectrics 295
9.2 Organic and Organometallic Polymers as Dielectrics 299
9.2.1 High-throughput DFT on an Organic Polymer Chemical Space 300
9.2.2 Initial Guidance to Experiments 301
9.2.3 Moving Beyond Pure Organics: An Organometallic Polymer Chemical Space 302
9.3 Synthetic Successes 304
9.4 Learning From Computational Data 307
9.4.1 Polymer Fingerprinting 308
9.4.2 ML Models Trained using DFT Data 308
9.4.3 Validation and Utility of ML Framework 311
9.5 Exporing the Polymer Genome 312
9.6 Conclusions and Outlook 313
Acknowledgements 314
References 314
Chapter 10 Rationalising and Predicting the Structure and Bonding of Bare and Ligated Transition Metal Clusters and Nanoparticles 320
10.1 Introduction 320
10.2 Theoretical Models 322
10.3 Quantitative Theoretical Approach 337
10.4 Large Ligated Transition Metal Clusters 339
10.5 The Role of Protective Ligands in Ligated Transition Metal Nanoparticles 342
10.6 Bare Nanoparticles 343
10.7 Conclusion 345
Acknowledgements 346
References 346
Chapter 11 Recent Advances in the Theory of Non-carbon Nanotubes 352
11.1 Introduction 352
11.2 Basic Concepts of Design and after Design of Inorganic Nanotubes 353
11.3 General Criteria Describing the Stability of Inorganic Nanotubes 358
11.4 Mechanical Properties of Inorganic Nanotubes 362
11.4.1 Tensile Deformation 363
11.4.2 Twist Deformation 365
11.4.3 Lateral Compression 366
11.5 Electronic Properties of Inorganic Nanotubes 369
11.5.1 Pristine Nanotubes 369
11.5.2 Inorganic Nanotubes with Intrinsic Defects 371
11.5.3 Inorganic Nanotubes with Extrinsic Defects 372
11.5.4 Magnetic Properties of Inorganic Nanotubes 375
11.6 Capillary Properties of Inorganic Nanotubes 376
11.6.1 Thermodynamics Within Core–Shell Nanotubes 377
11.6.2 Kinetics of Capillary Filling by Molten Salts 379
11.6.3 Kinetics of Capillary Filling by Water 380
11.7 Conclusion 383
Acknowledgements 384
References 384
Chapter 12 Discovery of Novel Topological Materials Via High-throughput Computational Search 392
12.1 Introduction 392
12.2 Topological Materials 395
12.2.1 Topological Insulators 395
12.2.2 Topological Semimetals 400
12.3 High-throughput Search Methodology 402
12.3.1 Symmetry and Composition Prescreening 402
12.3.2 Electronic Structure Calculations 403
12.3.3 First-principles Calculations of Topological Invariants 404
12.3.4 Post Processing 407
12.4 Examples of Materials Discovered Using the High-throughput Screening 408
12.4.1 β-Bi4I4: a Quasi-one-dimensional Z2 Topological Insulator 408
12.4.2 MoP2 and WP2: Robust Type-II Weyl Semimetals 412
12.5 Conclusions and Outlook 415
References 415
Chapter 13 Computational Discovery of Organic LED Materials 423
13.1 Organic Light-Emitting Diodes and Virtual Discovery 424
13.2 Molecular Search Space 428
13.2.1 Library Generation 429
13.2.2 Genetic Algorithms 431
13.3 Target Properties and Computational Methods 431
13.3.1 Molecular Properties 432
13.3.2 Bulk Properties and Bath Interactions 435
13.4 Other Software Tools 436
13.4.1 Artificial Intelligence 436
13.4.2 Collaborative Decision-making 436
13.5 Reported Materials 439
13.6 Conclusions 439
Abbreviations 441
References 441
Subject Index 447