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1 Survey of Organic Magnetism |
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1 | (30) |
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1 | (3) |
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1 | (1) |
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1.1.2 Paramagnetism and Diamagnetism |
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2 | (1) |
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1.1.3 Effect of Temperature on Magnetism |
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3 | (1) |
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1.2 Why Organic Ferromagnetism? |
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4 | (3) |
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4 | (1) |
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1.2.2 Advantages and Potential Applications of Organic Magnets |
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5 | (2) |
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1.3 Development of the Disjoint and Non-disjoint Concepts in Organic Systems |
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7 | (3) |
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1.3.1 Alternant and Non-alternant Hydrocarbons |
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8 | (1) |
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1.3.2 Kekule and Non-Kekule Molecules |
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9 | (1) |
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1.4 Index for Finding High-Spin State |
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10 | (2) |
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1.4.1 Molecular-Orbital-Based Index |
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10 | (2) |
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1.4.2 Valence-Bond-Theory-Based Index |
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12 | (1) |
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1.5 Strategy for Ferromagnetism |
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12 | (2) |
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1.5.1 Approach to Radical Crystals |
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13 | (1) |
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1.5.2 Approach to Radical Polymers |
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14 | (1) |
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1.6 Ising Model: Theoretical Approaches to Large High-Spin Systems (I) |
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14 | (2) |
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1.7 Quantum Chemistry Approach: Theoretical Approaches to Large High-Spin Systems (II) |
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16 | (15) |
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1.7.1 Open-Shell Ab Initio Molecular Orbital Methods for Larger Systems |
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17 | (2) |
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19 | (12) |
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2 Nonbonding Molecular Orbital Method and Mathematical Proof for Disjoint/Non-disjoint Molecules |
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31 | (30) |
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31 | (2) |
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2.2 Atomic-Orbital-Based Proof for Disjoint and Non-disjoint Hydrocarbons |
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33 | (4) |
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2.2.1 Hydrocarbons Disjoint (HC-AO-D) |
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34 | (2) |
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2.2.2 Non-disjoint Hydrocarbons Non-disjoint (HC-AO-N) |
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36 | (1) |
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2.3 Molecular-Orbital-Based Proof for Disjoint and Non-disjoint Hydrocarbons |
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37 | (8) |
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2.3.1 Hydrocarbons Disjoint (HC-MO-D) |
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39 | (1) |
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2.3.2 Hydrocarbons Non-disjoint (HC-MO-N) |
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40 | (5) |
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2.4 Atomic-Orbital-Based Proof for Disjoint and Non-disjoint Heteroatom-Included Hydrocarbons |
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45 | (8) |
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2.4.1 Heteroatom-Included Hydrocarbon Type-I Disjoint (HHC-AO-I-D) |
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48 | (1) |
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2.4.2 Heteroatom-Included Hydrocarbon Type-I Non-disjoint (HHC-AO-I-N) |
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49 | (1) |
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2.4.3 Heteroatom-Included Hydrocarbon Type-II Disjoint (HHC-AO-II-D) |
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50 | (1) |
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2.4.4 Heteroatom-Included Hydrocarbons Type-II Non-disjoint (HHC-AO-II-N) |
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51 | (2) |
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2.5 Molecular-Orbital-Based Proof for Disjoint and Non-disjoint Heteroatom-Included Hydrocarbons |
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53 | (8) |
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2.5.1 Heteroatom-Included Hydrocarbons Type-I Disjoint (HHC-MO-I-D) |
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53 | (4) |
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2.5.2 Heteroatom-Included Hydrocarbons Type-I Non-disjoint (HHC-MO-I-N) |
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57 | (1) |
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2.5.3 Heteroatom-Included Hydrocarbons Type-II Disjoint (HHC-MO-n-D) |
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58 | (1) |
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2.5.4 Heteroatom-Included Hydrocarbons Type-II Non-disjoint (HHC-MO-B-N) |
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59 | (1) |
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59 | (2) |
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3 Simple High-Spin Index Lij for Ferromagnetic Organic Molecules |
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61 | (40) |
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61 | (1) |
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3.2 High-Spin Stability Index Lij (Computational Approach) |
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62 | (14) |
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3.2.1 Lij for Diradical Systems |
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62 | (5) |
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3.2.2 Lij for Polyradical System |
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67 | (1) |
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3.2.3 Alternate Explanation of Lij |
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68 | (3) |
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3.2.4 Effects of Electron Correlation on High-Spin Stability |
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71 | (2) |
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3.2.5 Comparison Between Lminij and Ab Initio MP2 Calculations |
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73 | (3) |
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3.3 Analytical Approach to Lij |
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76 | (22) |
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3.3.1 Closed and Open Non-disjoint (0--*) Linkages |
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76 | (1) |
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3.3.2 Closed (0--*) Linkage: Benzyl Radical Dimer (Diradical Model) |
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77 | (1) |
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3.3.3 Closed (0--*) Linkage: Benzyl Radical Trimer (Triradical Model) |
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78 | (3) |
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3.3.4 Closed (0--*) Linkage: Benzyl Radical Pentamer (Pentaradical Model) |
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81 | (1) |
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3.3.5 Closed (0--*) Linkage: Tetraradical Model Including Methylene and Methylidyne Radical Units |
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82 | (1) |
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3.3.6 General Procedures for the Analytical Prediction of Lij for Closed (0--*) Linkage Models |
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83 | (2) |
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3.3.7 Analytical Prediction of Lij for Quasi-One-Dimensional Closed (0--*) Benzyl Radical Systems |
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85 | (6) |
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3.3.8 Comparison Between LAPij and Direct Quantum Chemistry Calculations for Quasi-One-Dimensional Closed (0--*) Benzyl Radical Systems |
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91 | (4) |
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3.3.9 Analytical Prediction of Lij for Open Non-disjoint (0--*) Benzyl Radical Systems |
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95 | (3) |
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3.4 (2 × 2) Unitary Rotation for Minimizing Lij and Its Comparison with the Edmiston--Rudenberg Method |
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98 | (3) |
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99 | (2) |
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4 Through-Space/Bond Interaction Analysis of Ferromagnetic Interactions |
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101 | (20) |
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101 | (1) |
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4.2 Ab Initio Through-Space/Bond Interaction Analysis Method |
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102 | (6) |
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4.2.1 How to Analyze Orbital Interactions Using the Through-Space/Bond Method |
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102 | (2) |
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4.2.2 Procedures for the Through-Space/Bond Interaction Analysis Method |
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104 | (2) |
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4.2.3 Features of the Through-Space/Bond Interaction Analysis Method |
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106 | (2) |
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4.3 Analysis of Inter-radical Interactions Using the Through-Space/Bond Method |
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108 | (13) |
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4.3.1 Through-Space/Bond Analysis of a Non-disjoint (0--*) Benzyl Radical Dimer |
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108 | (8) |
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4.3.2 Spacer Size and Number of Radicals: Effects on High-Spin Stability |
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116 | (3) |
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119 | (2) |
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5 O(N) Ab Initio Open-Shell MMELG-PCM Method and Its Application to Radical Polymers |
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121 | (16) |
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121 | (3) |
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124 | (4) |
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5.2.1 Elongation Method for Closed-Shell Systems |
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124 | (1) |
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5.2.2 Open-Shell Elongation Method with Polarizable Continuum Model |
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125 | (2) |
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5.2.3 Minimized Mixing Molecular Orbital Localization and Minimized Mixing Elongation Methods |
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127 | (1) |
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5.3 Applications and Comparison with the Conventional Method |
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128 | (9) |
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5.3.1 Application of the Open-Shell Elongation Method |
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128 | (1) |
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5.3.2 Application of the Minimized Mixing Elongation Method |
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129 | (2) |
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5.3.3 Application of the Minimized Mixing Elongation-Polarizable Continuum Model Method |
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131 | (2) |
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5.3.4 Application of the Minimized Mixing Elongation Method to a Dendrimer Model |
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133 | (1) |
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134 | (3) |
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6 Conclusions and Future Prospects |
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137 | |