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Malcolm Gerloch, Edwin C. Constable Transition Metal Chemistry The Valence Shell in d-Block Chemistry Weinheim • New York Basel • Cambridge • Tokyo Contents Preface 1 An Introduction to Transition-Metal Chemistry 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.10 What is a Transition Element? Complexes and Coordination Compounds The Coordinate Bond Ligand Types Coordination Number Geometrical Types and Isomers Oxidation State Electroneutrality Principle Rationalization of Complex Geometries Review of Properties of Transition-Metal Compounds 1 3 5 5 8 9 12 14 15 17 2 Focus on the d" Configuration 21 2.1 2.2 2.3 Spectral Features The Valence Shell The Roles of d Electrons 21 23 26 3 Crystal-Field Splittings 27 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3.10 3.11 3.12 The Crystal-Field Premise Splitting of d Orbitals in Octahedral Symmetry Splitting of d Orbitals in Tetrahedral and Other Symmetries Holes: dl and d9 More Transitions for d2 Atomic Orbitals and Terms Crystal-Field Splitting of Free-Ion D Terms Crystal-Field Splitting of Free-Ion F terms Free-ion S and P Terms in Crystal Fields Splitting Patterns for d" Ground terms Orgel Diagrams Concluding Remarks 27 28 32 34 36 40 44 46 48 52 56 58 X Contents 4 The Intensities of 'd-d' Spectra 61 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 Transition Moments Selection Rules 'Violation' of the Selection Rules Intensity 'Stealing' 'Two-Electron Jumps' 'Spin-Flip' Transitions The Effects of Temperature Change Summarizing Remarks 61 62 64 69 71 72 74 76 5 Spin and Magnetism 77 5.1 5.2 5.3 5.4 5.5 5.6 77 79 88 90 93 5.7 High-Spin and Low-Spin Configurations The Qualitative Origin of Paramagnetism 'Orbital Quenching' and the 'Spin-Only' Formula Orbital Contributions Orbital Contributions at the Strong-Field limit The Chemical Relevance of Departures from the Spin-Only Formula Summary 6 Ligand Fields, Bonding and the Valence Shell 97 6.1 6.2 6.3 6.3.1 6.3.2 6.3.3 6.3.4 95 96 The Nephelauxetic Effect The Spectrochemical Series Bonding in Octahedral Complexes Molecular Orbitals in Diatomic Molecules Molecular Orbitals in Polyatomic Molecules Molecular Orbitals for the Water Molecule The Molecular Orbital Diagram for Octahedral Complexes: Local M - L a Bonding 6.3.5 Charge-Transfer Transitions 6.3.6 Metal-Ligand it Bonding 6.4 Ligand-Field Theory 6.5 Synergic Back-Bonding 6.6 Valence Shells in High and Low Oxidation States 6.7 Electroneutrality and the Elasticity of the d Shell 6.8 The Bonding Contributions of d Orbitals 97 99 102 102 104 104 7 Steric Effects of Open d Shells 129 7.1 7.2 7.3 7.4 Bond Lengths in Octahedral Complexes Planar Coordination in ds Complexes Trigonal Bipyramidal Coordination The Jahn-Teller Effect 129 131 135 137 108 114 114 117 121 124 126 127 Contents XI 8 Complex Stability and Energetics 145 8.1 8.2 8.2.1 8.2.2 8.2.3 8.3 8.4 8.4.1 8.4.2 8.4.3 8.5 The Thermodynamic Stability of Complexes The Chelate Effect and Polydentate Ligands Thermodynamic Origins of the Chelate Effect Contributions to the Chelate Effect - The Enthalpy Contributions to the Chelate Effect - The Entropy Ligand-Field Stabilization Energies Energy and Structural Consequences in Real Systems Hydration Energies of Transition-Metal(n) Ions Lattice Energies of MC12 Species The Spinels The Irving-Williams Series 145 146 147 148 149 149 152 152 158 159 161 9 Chemical Consequences of the rf-Electron Configuration 167 9.1 9.2 9.2.1 9.3 9.4 9.4.1 9.4.2 9.4.3 9.4.4 9.4.5 9.4.6 Introduction Coordination Number and Geometry Coordination Numbers in Low Oxidation State Complexes Ligand types - The Concept of Hard and Soft The Stabilization of Oxidation States, and Reduction Potentials Reduction Potentials and Thermodynamics Intermediate Oxidation States The Electroneutrality Principle - A Reprise Protic Equilibria Involving Coordinated Ligands The Stabilization of High Oxidation States d Orbitals, Covalent Character and Variable Oxidation States A Summary 9.5 Consequences of the d-Electron Configuration upon Reaction Rates 9.5.1 Kinetically Inert and Labile Complexes 9.5.2 Ligand Substitution Reactions 9.5.3 Rates of Electron Transfer Reactions 167 167 172 173 176 176 176 179 181 184 10 The Lanthanoid Series 197 10.1 10.2 10.3 10.4 The Lanthanoid Contraction The Core-Like Behavior of / Electrons Magnetic Properties in the / Block Spectral Features 197 198 199 203 Index 184 186 186 186 189