Preface |
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xi | |
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1 | (34) |
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1.1 Molecular Interactions in Nature |
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2 | (2) |
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1.2 Potential Energies for Molecular Interactions |
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4 | (5) |
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1.2.1 The Concept of a Molecular Potential Energy |
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4 | (2) |
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1.2.2 Theoretical Classification of Interaction Potentials |
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6 | (1) |
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7 | (1) |
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1.2.2.2 Intermediate Distances |
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8 | (1) |
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8 | (1) |
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1.2.2.4 Very Large Distances |
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8 | (1) |
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1.3 Quantal Treatment and Examples of Molecular Interactions |
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9 | (12) |
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1.4 Long-Range Interactions and Electrical Properties of Molecules |
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21 | (3) |
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1.4.1 Electric Dipole of Molecules |
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21 | (1) |
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1.4.2 Electric Polarizabilities of Molecules |
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22 | (1) |
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1.4.3 Interaction Potentials from Multipoles |
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23 | (1) |
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1.5 Thermodynamic Averages and Intermolecular Forces |
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24 | (3) |
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1.5.1 Properties and Free Energies |
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24 | (1) |
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1.5.2 Polarization in Condensed Matter |
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25 | (1) |
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1.5.3 Pair Distributions and Potential of Mean-Force |
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26 | (1) |
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1.6 Molecular Dynamics and Intermolecular Forces |
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27 | (2) |
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1.6.1 Collisional Cross Sections |
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27 | (1) |
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1.6.2 Spectroscopy of van der Waals Complexes and of Condensed Matter |
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28 | (1) |
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1.7 Experimental Determination and Applications of Interaction Potential Energies |
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29 | (6) |
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1.7.1 Thermodynamics Properties |
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30 | (1) |
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1.7.2 Spectroscopy and Diffraction Properties |
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30 | (1) |
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1.7.3 Molecular Beam and Energy Deposition Properties |
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30 | (1) |
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1.7.4 A Applications of Intermolecular Forces |
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31 | (1) |
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31 | (4) |
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35 | (28) |
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2.1 Electric Multipoles of Molecules |
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35 | (5) |
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2.1.1 Potential Energy of a Distribution of Charges |
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35 | (1) |
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2.1.2 Cartesian Multipoles |
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36 | (1) |
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2.1.3 Spherical Multipoles |
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37 | (1) |
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2.1.4 Charge Distributions for an Extended System |
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38 | (2) |
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2.2 Energy of a Molecule in an Electric Field |
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40 | (3) |
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2.2.1 Quantal Perturbation Treatment |
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40 | (1) |
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2.2.2 Static Polarizabilities |
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41 | (2) |
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2.3 Dynamical Polarizabilities |
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43 | (6) |
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2.3.1 General Perturbation |
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43 | (4) |
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2.3.2 Periodic Perturbation Field |
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47 | (2) |
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2.4 Susceptibility of an Extended Molecule |
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49 | (3) |
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2.5 Changes of Reference Frame |
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52 | (2) |
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2.6 Multipole Integrals from Symmetry |
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54 | (3) |
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2.7 Approximations and Bounds for Polarizabilities |
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57 | (6) |
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57 | (1) |
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2.7.2 Closure Approximation and Sum Rules |
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58 | (1) |
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2.7.3 Upper and Lower Bounds |
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59 | (1) |
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60 | (3) |
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3 Quantitative Treatment of Intermolecular Forces |
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63 | (48) |
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3.1 Long Range Interaction Energies from Perturbation Theory |
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64 | (4) |
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3.1.1 Interactions in the Ground Electronic States |
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64 | (4) |
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3.1.2 Interactions in Excited Electronic States and in Resonance |
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68 | (1) |
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3.2 Long Range Interaction Energies from Permanent and Induced Multipoles |
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68 | (10) |
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3.2.1 Molecular Electrostatic Potentials |
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68 | (2) |
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3.2.2 The Interaction Potential Energy at Large Distances |
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70 | (3) |
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3.2.3 Electrostatic, Induction, and Dispersion Forces |
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73 | (2) |
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3.2.4 Interacting Atoms and Molecules from Spherical Components of Multipoles |
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75 | (1) |
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3.2.5 Interactions from Charge Densities and their Fourier Components |
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76 | (2) |
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3.3 Atom-Atom, Atom-Molecule, and Molecule-Molecule Long-Range Interactions |
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78 | (3) |
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78 | (1) |
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3.3.2 Interaction of Oriented Molecular Multipoles |
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79 | (1) |
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80 | (1) |
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3.4 Calculation of Dispersion Energies |
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81 | (6) |
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3.4.1 Dispersion Energies from Molecular Polarizabilities |
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81 | (1) |
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82 | (1) |
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3.4.3 Upper and Lower Bounds |
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83 | (3) |
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3.4.4 Variational Calculation of Perturbation Terms |
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86 | (1) |
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3.5 Electron Exchange and Penetration Effects at Reduced Distances |
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87 | (15) |
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3.5.1 Quantitative Treatment with Electronic Density Functionals |
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87 | (6) |
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3.5.2 Electronic Rearrangement and Polarization |
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93 | (5) |
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3.5.3 Treatments of Electronic Exchange and Charge Transfer |
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98 | (4) |
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3.6 Spin-orbit Couplings and Retardation Effects |
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102 | (1) |
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3.7 Interactions in Three-Body and Many-Body Systems |
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103 | (8) |
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103 | (3) |
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106 | (1) |
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107 | (4) |
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4 Model Potential Functions |
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111 | (46) |
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111 | (3) |
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114 | (5) |
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4.2.1 Standard Models and Their Relations |
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114 | (2) |
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116 | (1) |
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4.2.3 Very Short-Range Potentials |
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117 | (1) |
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4.2.4 Local Parametrization of Potentials |
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117 | (2) |
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4.3 Atom--Molecule and Molecule--Molecule Potentials |
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119 | (8) |
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4.3.1 Dependences on Orientation Angles |
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119 | (5) |
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4.3.2 Potentials as Functionals of Variable Parameters |
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124 | (1) |
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124 | (1) |
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4.3.4 Systems with Additive Anisotropic Pair-Interactions |
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125 | (1) |
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4.3.5 Bond Rearrangements |
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125 | (2) |
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4.4 Interactions in Extended (Many-Atom) Systems |
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127 | (8) |
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4.4.1 Interaction Energies in Crystals |
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127 | (4) |
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4.4.2 Interaction Energies in Liquids |
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131 | (4) |
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4.5 Interaction Energies in a Liquid Solution and in Physisorption |
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135 | (8) |
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4.5.1 Potential Energy of a Solute in a Liquid Solution |
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135 | (4) |
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4.5.2 Potential Energies of Atoms and Molecules Adsorbed at Solid Surfaces |
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139 | (4) |
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4.6 Interaction Energies in Large Molecules and in Chemisorption |
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143 | (14) |
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4.6.1 Interaction Energies Among Molecular Fragments |
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143 | (2) |
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4.6.2 Potential Energy Surfaces and Force Fields in Large Molecules |
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145 | (3) |
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4.6.3 Potential Energy Functions of Global Variables Parametrized with Machine Learning Procedures |
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148 | (4) |
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152 | (5) |
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157 | (38) |
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5.1 Molecular Energies for Fixed Nuclear Positions |
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158 | (5) |
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158 | (2) |
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5.1.2 Energy Density Functionals for Fixed Nuclei |
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160 | (2) |
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5.1.3 Physical Contributions to the Energy Density Functional |
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162 | (1) |
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5.2 General Properties of Potentials |
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163 | (6) |
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5.2.1 The Electrostatic Force Theorem |
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163 | (1) |
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5.2.2 Electrostatic Forces from Approximate Wavefunctions |
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164 | (1) |
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5.2.3 The Example of Hydrogenic Molecules |
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165 | (1) |
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166 | (2) |
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5.2.5 Integral Form of the Virial Theorem |
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168 | (1) |
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5.3 Molecular States for Moving Nuclei |
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169 | (3) |
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5.3.1 Expansion in an Electronic Basis Set |
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169 | (1) |
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5.3.2 Matrix Equations for Nuclear Amplitudes in Electronic States |
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170 | (2) |
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5.3.3 The Flux Function and Conservation of Probability |
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172 | (1) |
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5.4 Electronic Representations |
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172 | (8) |
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5.4.1 The Adiabatic Representation |
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172 | (1) |
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5.4.2 Hamiltonian and Momentum Couplings from Approximate Adiabatic Wavefunctions |
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173 | (1) |
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5.4.3 Nonadiabatic Representations |
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174 | (1) |
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175 | (1) |
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5.4.5 The Fixed-nuclei, Adiabatic, and Condon Approximations |
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176 | (4) |
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5.5 Electronic Rearrangement for Changing Conformations |
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180 | (15) |
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5.5.1 Construction of Molecular Electronic States from Atomic States: Multistate Cases |
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180 | (1) |
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5.5.2 The Noncrossing Rule |
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181 | (3) |
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5.5.3 Crossings in Several Dimensions: Conical Intersections and Seams |
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184 | (5) |
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5.5.4 The Geometrical Phase and Generalizations |
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189 | (3) |
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192 | (3) |
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6 Many-Electron Treatments |
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195 | (60) |
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195 | (14) |
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6.1.1 Electronic Exchange and Charge Transfer |
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195 | (3) |
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6.1.2 Many-Electron Descriptions and Limitations |
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198 | (5) |
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6.1.3 Properties and Electronic Density Matrices |
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203 | (2) |
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205 | (4) |
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6.2 Supermolecule Methods |
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209 | (13) |
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6.2.1 The Configuration Interaction Procedure for Molecular Potential Energies |
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209 | (6) |
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6.2.2 Perturbation Expansions |
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215 | (3) |
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6.2.3 Coupled-Cluster Expansions |
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218 | (4) |
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222 | (6) |
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6.3.1 The Generalized Valence-Bond Method |
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222 | (3) |
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6.3.2 Symmetry-Adapted Perturbation Theory |
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225 | (3) |
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6.4 The Density Functional Approach to Intermolecular Forces |
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228 | (15) |
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6.4.1 Functionals for Interacting Closed- and Open-Shell Molecules |
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228 | (4) |
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6.4.2 Electronic Exchange and Correlation from the Adiabatic-Connection Relation |
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232 | (6) |
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6.4.3 Issues with DFT, and the Alternative Optimized Effective Potential Approach |
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238 | (5) |
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6.5 Spin-Orbit Couplings and Relativistic Effects in Molecular Interactions |
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243 | (12) |
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6.5.1 Spin-Orbit Couplings |
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243 | (2) |
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6.5.2 Spin-Orbit Effects on Interaction Energies |
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245 | (2) |
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247 | (8) |
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7 Interactions Between Two Many-Atom Systems |
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255 | (54) |
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7.1 Long-range Interactions of Large Molecules |
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255 | (10) |
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7.1.1 Interactions from Charge Density Operators |
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255 | (3) |
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7.1.2 Electrostatic, Induction, and Dispersion Interactions |
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258 | (2) |
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7.1.3 Population Analyses of Charge and Polarization Densities |
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260 | (2) |
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7.1.4 Long-range Interactions from Dynamical Susceptibilities |
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262 | (3) |
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7.2 Energetics of a Large Molecule in a Medium |
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265 | (7) |
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7.2.1 Solute-Solvent Interactions |
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265 | (3) |
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7.2.2 Solvation Energetics for Short Solute-Solvent Distances |
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268 | (2) |
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7.2.3 Embedding of a Molecular Fragment and the QM/MM Treatment |
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270 | (2) |
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7.3 Energies from Partitioned Charge Densities |
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272 | (9) |
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7.3.1 Partitioning of Electronic Densities |
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272 | (2) |
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7.3.2 Expansions of Electronic Density Operators |
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274 | (3) |
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7.3.3 Expansion in a Basis Set of Localized Functions |
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277 | (2) |
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7.3.4 Expansion in a Basis Set of Plane Waves |
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279 | (2) |
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7.4 Models of Hydrocarbon Chains and of Excited Dielectrics |
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281 | (10) |
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7.4.1 Two Interacting Saturated Hydrocarbon Compounds: Chains and Cyclic Structures |
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281 | (3) |
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7.4.2 Two Interacting Conjugated Hydrocarbon Chains |
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284 | (5) |
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7.4.3 Electronic Excitations in Condensed Matter |
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289 | (2) |
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7.5 Density Functional Treatments for All Ranges |
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291 | (9) |
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7.5.1 Dispersion-Corrected Density Functional Treatments |
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291 | (3) |
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7.5.2 Long-range Interactions from Nonlocal Functionals |
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294 | (3) |
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7.5.3 Embedding of Atomic Groups with DFT |
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297 | (3) |
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7.6 Artificial Intelligence Learning Methods for Many-Atom Interaction Energies |
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300 | (9) |
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303 | (6) |
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8 Interaction of Molecules with Surfaces |
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309 | (64) |
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8.1 Interaction of a Molecule with a Solid Surface |
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309 | (15) |
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8.1.1 Interaction Potential Energies at Surfaces |
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309 | (5) |
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8.1.2 Electronic States at Surfaces |
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314 | (5) |
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8.1.3 Electronic Susceptibilities at Surfaces |
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319 | (2) |
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8.1.4 Electronic Susceptibilities for Metals and Semiconductors |
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321 | (3) |
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8.2 Interactions with a Dielectric Surface |
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324 | (8) |
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8.2.1 Long-range Interactions |
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324 | (5) |
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8.2.2 Short and Intermediate Ranges |
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329 | (3) |
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332 | (5) |
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8.3.1 Summations Over Lattice Cell Units |
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332 | (1) |
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8.3.2 Surface Electric Dipole Layers |
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333 | (2) |
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8.3.3 Adsorbate Monolayers |
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335 | (2) |
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8.4 Nonbonding Interactions at a Metal Surface |
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337 | (12) |
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8.4.1 Electronic Energies for Varying Molecule--Surface Distances |
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337 | (4) |
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8.4.2 Potential Energy Functions and Physisorption Energies |
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341 | (6) |
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8.4.3 Embedding Models for Physisorption |
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347 | (2) |
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349 | (14) |
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8.5.1 Models of Chemisorption |
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349 | (5) |
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8.5.2 Charge Transfer at a Metal Surface |
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354 | (5) |
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8.5.3 Dissociation and Reactions at a Metal Surface from Density Functionals |
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359 | (4) |
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8.6 Interactions with Biomolecular Surfaces |
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363 | (10) |
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367 | (6) |
Index |
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373 | |