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Chapter 1 Calculations of the Vibration-Rotation Spectra of Small Molecules |
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1 | (44) |
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1 | (1) |
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2 | (7) |
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9 | (3) |
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4 The Eckart-Watson Hamiltonian and its Context |
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12 | (5) |
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4.1 The Permutational Symmetry of the Eckart-Watson Hamiltonian |
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14 | (3) |
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5 The General Form of a Tailor-made Hamiltonian |
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17 | (8) |
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5.1 The Permutational Symmetry in the General Form of the Hamiltonian |
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23 | (2) |
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6 Computational Considerations |
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25 | (20) |
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6.1 Perturbational Computations |
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29 | (7) |
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6.2 Variational Computations |
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36 | (5) |
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41 | (4) |
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Chapter 2 Computer-aided Drug Design 2001-2003 |
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45 | (24) |
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45 | (1) |
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2 ADME/Tox and Druggability |
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45 | (4) |
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2.1 Metabolism by Cytochrome P450 |
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46 | (1) |
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2.2 Human Ether-a-go-go-related Gene K+ Channel |
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47 | (1) |
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2.3 What makes a Compound Drug-like? |
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47 | (2) |
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49 | (1) |
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49 | (5) |
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50 | (1) |
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51 | (1) |
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3.3 Pharmacophore and Local Docking Schemes |
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51 | (1) |
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52 | (1) |
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3.5 Docking and Virtual Screening |
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53 | (1) |
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54 | (1) |
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55 | (1) |
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56 | (1) |
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6.1 Conformational Analysis |
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56 | (1) |
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57 | (2) |
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8 Cheminformatics and Data Mining |
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59 | (2) |
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59 | (1) |
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8.2 Similarity and Descriptors |
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60 | (1) |
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9 Inverse QSAR and Automated Iterative Design |
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61 | (1) |
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10 Structure-based Drug Design |
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61 | (2) |
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10.1 G-Protein Coupled Receptors (GPCRs) |
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62 | (1) |
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63 | (1) |
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63 | (6) |
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63 | (6) |
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Chapter 3 Density Functional Theory |
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69 | (57) |
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69 | (1) |
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2 Theoretical Foundations |
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70 | (4) |
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74 | (26) |
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3.1 Ionization Potentials of Nickel-benzene Clusters |
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74 | (2) |
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3.2 Bronsted Acidity of Some Zeolites |
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76 | (2) |
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3.3 Van der Waals Interactions |
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78 | (1) |
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3.4 Structure and Energetics for N-Acetyl-L-Glutamate-N-Methylamide |
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79 | (1) |
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3.5 Photodissociation of Triplet Acetaldehyde |
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80 | (2) |
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3.6 Vibrations of Benzimidazole |
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82 | (2) |
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3.7 Chemical Reactions Involving Hydrogen Bonds |
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84 | (1) |
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3.8 Metal-Sulphur bonds for Sulphur on the Au(111) Surface |
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85 | (3) |
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88 | (1) |
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3.10 Rotational Stability of Substituted Acetanilides |
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89 | (1) |
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3.11 The Reaction of Methylformate with Ammonia |
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89 | (3) |
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3.12 The Rearrangement of Azulene to Naphthalene |
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92 | (1) |
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3.13 Dissociation of Azomethane |
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93 | (1) |
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3.14 Reactions Between Transition Metals and Ammonia |
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94 | (1) |
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3.15 Dynamics of Chemical Reactions |
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95 | (1) |
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95 | (2) |
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3.17 DNA Base-stacking Interactions |
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97 | (1) |
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97 | (1) |
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3.19 Anharmonic Vibrational Modes in Adenine |
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98 | (1) |
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3.20 Cumulenes and Polyynes |
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99 | (1) |
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100 | (4) |
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100 | (2) |
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4.2 Momentum-space Densities in Ethane |
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102 | (1) |
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4.3 Electron Density in [ FeCo(CO)8]- |
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103 | (1) |
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104 | (9) |
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5.1 Bandgap in Molecular Crystals |
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104 | (2) |
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5.2 Binding Energies of Electrons |
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106 | (2) |
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5.3 Band Gap in Conjugated Oligomers |
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108 | (1) |
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5.4 (Hyper)polarizability of Si4 |
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109 | (1) |
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5.5 Electronic Absorption in Polycyclic Aromatic Hydrocarbons |
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110 | (1) |
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5.6 Nonadiabatic Processes |
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111 | (1) |
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5.7 NMR Chemical Shifts of Benzoxazine Oligomers |
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111 | (1) |
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5.8 NMR Shielding Constants |
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112 | (1) |
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6 Getting Further Information with Density-functional Calculations |
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113 | (3) |
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6.1 Classification of Reactions |
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113 | (2) |
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6.2 Hydrogen Bond Descriptors |
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115 | (1) |
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7 Limitations and Perspectives |
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116 | (6) |
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7.1 Polyenes and Current-density-functional Theory |
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116 | (3) |
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7.2 Anions and Exact-exchange Methods |
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119 | (1) |
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7.3 The Long-ranged Behaviour of Exchange Interactions |
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120 | (2) |
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122 | (1) |
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122 | (4) |
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124 | (2) |
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Chapter 4 Combinatorial Enumeration in Chemistry |
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126 | (45) |
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126 | (1) |
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126 | (31) |
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126 | (9) |
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2.2 Kekule Structure Count |
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135 | (3) |
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138 | (6) |
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2.4 Combinatorial Measures of Molecular Complexity |
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144 | (10) |
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154 | (3) |
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157 | (14) |
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159 | (12) |
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Chapter 5 Photo-reduction and -oxidation |
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171 | (46) |
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171 | (1) |
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2 Electric Field Related Properties |
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172 | (33) |
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2.1 High Level Ab Initio and DFT Calculations |
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172 | (18) |
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2.2 Semi-empirical Calculations |
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190 | (5) |
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2.3 Solvent and Other Environmental Effects |
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195 | (2) |
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197 | (2) |
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199 | (1) |
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200 | (1) |
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201 | (1) |
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202 | (1) |
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2.9 Theoretical Developments |
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203 | (2) |
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3 Magnetic Field Response Functions in Diamagnetic Molecules |
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205 | (12) |
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3.1 Magnetizability and Nuclear Shielding |
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205 | (3) |
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3.2 Higher Order Response Functions - The Cotton-Mouton Effect |
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208 | (2) |
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210 | (7) |
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Chapter 6 Simulation of the Liquid State |
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217 | (54) |
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217 | (1) |
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218 | (11) |
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2.1 Theories of Diffusion |
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218 | (4) |
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2.2 Computational Methodology |
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222 | (2) |
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2.3 Bulk Liquid Transport Properties |
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224 | (3) |
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227 | (2) |
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229 | (2) |
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4 Supercooled Liquids and Glasses |
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231 | (9) |
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232 | (3) |
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4.2 Structural Models for Supercooled Liquids |
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235 | (5) |
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240 | (13) |
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240 | (1) |
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241 | (2) |
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243 | (1) |
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244 | (5) |
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249 | (2) |
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251 | (1) |
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252 | (1) |
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5.8 Applications of Density Functional Theory |
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252 | (1) |
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6 Water and its Solutions |
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253 | (2) |
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255 | (3) |
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7.1 Dissipative Particle Dynamics |
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256 | (1) |
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257 | (1) |
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258 | (13) |
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258 | (1) |
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8.2 New Monte Carlo Algorithms |
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259 | (1) |
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8.3 Intermolecular Potentials |
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260 | (2) |
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262 | (1) |
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8.5 Miscellaneous Developments |
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263 | (1) |
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263 | (8) |
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Chapter 7 Numerical Methods in Chemistry |
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271 | (108) |
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271 | (2) |
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2 Multi Derivative Methods |
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273 | (10) |
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2.1 Stability and Phase-lag Analysis of Multi-derivative Methods |
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273 | (1) |
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2.2 A New Family of Multi-derivative Methods |
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274 | (1) |
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2.3 A New Family of Multi-derivative Methods with Minimal Phase-lag |
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275 | (1) |
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2.4 Computational Implementation |
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276 | (4) |
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2.5 Numerical Illustrations |
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280 | (2) |
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2.6 Remarks and Conclusions |
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282 | (1) |
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3 Symplectic Methods for the Numerical Solution of the Radical Schrodinger Equation |
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283 | (9) |
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283 | (1) |
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3.2 Symplectic Integrators - Basic Theory |
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283 | (1) |
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3.3 Construction of Symplectic Integrators |
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284 | (1) |
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3.4 Development of the New Methods |
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285 | (3) |
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288 | (3) |
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3.6 Remarks and Conclusions |
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291 | (1) |
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4 Numerical Solution of the Two-dimensional Schrodinger Equation |
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292 | (13) |
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292 | (1) |
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4.2 Partial Discretisation of the Two-dimensional Equation |
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292 | (1) |
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4.3 Application of Symplectic Methods |
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293 | (6) |
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4.4 Application of Numerov-type Methods |
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299 | (5) |
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4.5 Remarks and Conclusions |
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304 | (1) |
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5 General Comments on the Bibliography of the Numerical Methods in Chemistry |
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305 | (74) |
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313 | (4) |
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317 | (23) |
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340 | (5) |
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345 | (1) |
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346 | (3) |
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349 | (17) |
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366 | (11) |
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377 | (2) |
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Chapter 8 Many-body Perturbation Theory and Its Application to the Molecular Structure Problem |
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379 | |
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379 | (1) |
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2 Diagrammatic Many-body Perturbation Theory of Molecular Structure Including Nuclear and Electronic Motion |
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380 | (19) |
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2.1 The Total Molecular Hamiltonian Operator |
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381 | (2) |
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2.2 The Hartree-Fock Theory of Nuclei and Electrons |
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383 | (1) |
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2.3 The Many-perturbation Theory of Nuclei and Electrons |
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384 | (5) |
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2.4 The Diagrammatic Perturbation Theory of Nuclei and Electrons |
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389 | (9) |
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398 | (1) |
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3 Diagrammatic Many-body Perturbation Theory of Molecular Electronic Structure: Low Order Approximants |
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399 | (10) |
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3.1 Summation Approximants |
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399 | (2) |
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401 | (3) |
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3.3 Digression: Scaled Many-body Perturbation Theory and Systematically Extended Basis Sets |
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404 | (1) |
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405 | (1) |
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3.5 Quadratic Pade Approximants |
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406 | (2) |
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408 | (1) |
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4 Diagrammatic Many-body Perturbation Theory of Molecular Electronic Structure for Larger Systems |
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409 | (7) |
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4.1 Local Correlation Methods |
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409 | (1) |
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4.2 Linear Scaling Correlation Methods |
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410 | (1) |
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410 | (1) |
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4.4 Splitting of the Coulomb Operator |
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411 | (1) |
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4.5 Multipole Expansion of Long Range Integrals |
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412 | (2) |
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4.6 Density Fitting Approximations |
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414 | (2) |
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416 | (1) |
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5 Diagrammatic Many-body Perturbation Theory of Molecular Electronic Structure: A Review of Applications |
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416 | (4) |
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5.1 Incidence of the String "MP2" in Titles and/or Keywords |
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416 | (1) |
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5.2 Comparison with Other Methods |
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417 | (1) |
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5.3 Synopsis of Applications of Second Order Many-body Perturbation Theory |
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418 | (2) |
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420 | (1) |
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420 | |
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421 | |