| Computational Studies of Transition Metal Nanoalloys | 4 |
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| Supervisor’s Foreword | 8 |
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| Acknowledgments | 9 |
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| Contents | 10 |
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| 1 Introduction | 14 |
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| 1.1…Clusters: Overview and Applications | 15 |
| 1.2…Nanoalloys | 16 |
| 1.2.1 Homotops | 17 |
| 1.2.2 Segregation in Nanoalloys | 17 |
| 1.3…Experimental Background: From Synthesis to Cluster Characterisation | 19 |
| 1.4…Second and Third Rows Transition Metal Nanoalloys | 20 |
| 1.4.1 Pd--Pt Clusters | 20 |
| 1.4.2 Pd--Au Clusters | 21 |
| 1.4.3 Ag--Pt Clusters | 21 |
| 1.4.4 Ag--Au Clusters | 22 |
| 1.5…Chemisorption on Single Metal and Bimetallic Clusters | 22 |
| References | 24 |
| 2 Theoretical Background and Methodology | 27 |
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| 2.1…Modelling Metal Clusters and Nanoalloys | 27 |
| 2.1.1 Potential Energy Surfaces | 28 |
| 2.2…Theoretical Methods | 28 |
| 2.2.1 The Gupta Potential | 28 |
| 2.2.2 Early Density Functional Theory: Thomas Fermi Model | 29 |
| 2.2.3 Modern Density Functional Theory | 31 |
| 2.2.4 Functionals and Basis Sets | 34 |
| 2.3…Global Optimization Techniques | 35 |
| 2.3.1 The Birmingham Cluster Genetic Algorithm | 35 |
| 2.3.2 The Basin-Hopping Monte Carlo Algorithpotential energy surface (PES)m | 38 |
| 2.3.3 Shell Optimization Routine | 39 |
| 2.3.4 Combined EP-DFT Approach | 39 |
| 2.4…Energetic Analysis | 40 |
| References | 42 |
| 3 34-Atom Pd--Pt Clusters | 44 |
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| 3.1…Introduction | 44 |
| 3.2…Computational Details | 44 |
| 3.3…Results and Discussion | 45 |
| 3.3.1 Gupta Potential Calculations on PdmPt34 | 45 |
| minus | 45 |
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| m | 45 |
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| 3.4…DFT Calculations | 48 |
| 3.4.1 Composition Pd24Pt10 | 49 |
| 3.4.2 Segregation Effects for Pd17Pt17 Clusters | 51 |
| 3.4.3 Analysis of the Dh--cp(DT) Structure | 52 |
| 3.4.4 Conclusions | 54 |
| References | 55 |
| 4 98-Atom Pd--Pt Nanoalloys | 56 |
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| 4.1…Introduction | 56 |
| 4.2…Computational Details | 56 |
| 4.3…Results and Discussion | 57 |
| 4.3.1 Comparison of Global Minimum Structures for 98-Atom Pd--Pt Nanoalloys | 57 |
| 4.3.2 Analysis of the Leary Tetrahedron | 61 |
| 4.3.3 Onion-Like Structures | 62 |
| 4.3.4 Competition Between Different Structural Families | 62 |
| 4.4…Conclusions | 63 |
| References | 64 |
| 5 38-Atom Binary Clusters | 65 |
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| 5.1…Introduction | 65 |
| 5.2…Computational Details | 67 |
| 5.3…Results and Discussion | 68 |
| 5.3.1 Structural Families | 69 |
| 5.3.2 Composition Dependence of the Mixing Energy | 72 |
| 5.3.3 Pd--Pt Clusters | 72 |
| 5.3.4 Segregation Effects in Pd--Pt Clusters | 74 |
| 5.3.5 Ag--Pt Clusters | 75 |
| 5.3.6 Segregation Effects in Ag--Pt Clusters | 75 |
| 5.3.7 Pd--Au Clusters at Compositions 14--24 and 6--32 | 76 |
| 5.3.8 Pd--Au Clusters at Compositions 24--14 and 32--6 | 78 |
| 5.3.9 Segregation Effects in Pd--Au Clusters | 79 |
| 5.3.10 Ag--Au Clusters | 79 |
| 5.3.11 Segregation Effects in Ag--Au Clusters | 81 |
| 5.4…Conclusions | 84 |
| References | 85 |
| 6 Chemical Ordering of 34-Atom Pd--Pt Nanoalloys | 87 |
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| 6.1…Introduction | 87 |
| 6.2…Computational Details | 90 |
| 6.2.1 Genetic Algorithm | 90 |
| 6.3…Results and Discussion | 92 |
| 6.3.1 DFT Study of (Pd--Pt)N/2 Clusters (N = 2--20) | 92 |
| 6.3.2 Gupta Potential Study of (Pd--Pt)N/2 Clusters (N = 2--20) for Potentials Ia, Ib and Ic | 95 |
| 6.3.3 Gupta Potential Study of 34-Atom Pd34Pt34minusm Clusters for Potentials Ia, Ib and Ic | 95 |
| 6.3.4 Detailed Study of 34-Atom PdmPt34minusm Clusters for Variable Gupta Potential Weights | 98 |
| 6.3.5 Structural Motifs | 99 |
| 6.3.6 Segregation | 104 |
| 6.3.7 Study of Interfacial Areas in Segregated Bimetallic Clusters | 104 |
| 6.3.8 Derivation of the Interfacial Area Formulae | 107 |
| 6.3.8.1 Core--Shell Segregation | 107 |
| 6.3.8.2 Spherical Cap Segregation | 108 |
| 6.3.8.3 Ratio of Interfacial Areas | 109 |
| 6.4…Conclusions | 109 |
| References | 111 |
| 7 Theoretical Study of Pd--Au Clusters | 112 |
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| 7.1…Introduction | 112 |
| 7.2…Computational Details | 113 |
| 7.2.1 Genetic Algorithm | 113 |
| 7.2.2 Pd--Au Parameters | 113 |
| 7.3…Results and Discussion | 115 |
| 7.3.1 Gupta Potential Calculations on (Pd--Au)N/2 Clusters (N = 2--50) | 115 |
| 7.3.2 DFT Calculations on (Pd--Au)N/2 Clusters (N = 2--25) | 119 |
| 7.3.3 Structural Analysis | 120 |
| 7.4…34-Atom Pd--Au Clusters | 120 |
| 7.5…38-Atom Pd--Au Clusters | 123 |
| 7.6…DFT Investigation of Segregation in 34- and 38-Atom Pd--Au Clusters | 131 |
| 7.7…Large Pd--Au Nanoclusters, N = 98 Atoms | 133 |
| 7.7.1 Global Optimizations of 98-Atom Pd--Au Clusters | 133 |
| 7.7.2 Leary Tetrahedron Structure | 135 |
| 7.8…Conclusions | 136 |
| References | 141 |
| 8 Chemisorption on Metal Clusters and Nanoalloys | 142 |
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| 8.1…Introduction | 142 |
| 8.1.1 Experimental and Theoretical Studies on Chemisorption | 142 |
| 8.2…Chemisorption of CO and H on Pd, Pt and Au Nanoclusters | 143 |
| 8.2.1 Energetic Analysis | 144 |
| 8.2.2 Computational Details | 146 |
| 8.3…Results | 147 |
| 8.4…Chemisorption of CO and H on Bimetallic Clusters | 153 |
| 8.5…Conclusions | 154 |
| References | 155 |
| 9 Conclusions and Future Work | 157 |
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| References | 159 |
| Index | 160 |