Preface |
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vii | |
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Chapter 1 Historical Background |
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1 | (2) |
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3 | (4) |
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Physical Basis for the Success |
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6 | (1) |
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1.3 The Photoelectric Effect |
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7 | (2) |
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9 | (1) |
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10 | (1) |
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11 | (2) |
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13 | (4) |
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13 | (1) |
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Energy of the Electron in the Atom |
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14 | (1) |
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Extensions of the Bohr's Theory |
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15 | (1) |
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16 | (1) |
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17 | (1) |
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1.8 Failure of the Old Quantum Theory |
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17 | (2) |
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Chapter 2 The Wave Equation |
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2.1 De Broglie's Concept of Matter Waves |
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19 | (3) |
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Wave length and momentum of a particle |
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20 | (2) |
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2.2 Heisenberg's Uncertainty Principle |
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22 | (4) |
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26 | (3) |
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2.4 Interpretation of Wave Function |
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29 | (1) |
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2.5 Normalized and Orthogonal Wave Functions |
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30 | (1) |
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31 | (2) |
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3.1 The Formulation of Quantum Mechanics |
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33 | (1) |
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Schrodinger Wave Equation |
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33 | (1) |
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3.2 The Postulates of Quantum Mechanics |
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34 | (9) |
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34 | (1) |
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3.2.2 Well Behaved Wave Function |
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35 | (1) |
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The Fitness of the Wave Function |
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36 | (1) |
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37 | (1) |
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38 | (3) |
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41 | (1) |
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42 | (1) |
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43 | (1) |
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43 | (5) |
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Chapter 4 Applications of Schrodinger Equation-1 (Simple systems with constant potential energy) |
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4.1 Particle in a One-dimensional Box |
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48 | (8) |
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4.1.1 Salient Instructive Features of the Problem |
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51 | (4) |
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55 | (1) |
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56 | (1) |
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4.2 The Particle in a Three Dimensional Box |
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56 | (6) |
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59 | (3) |
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4.3 The Structure of Matter |
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62 | (2) |
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4.4 Factors Influencing Color |
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64 | (3) |
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4.5 Tunneling in Quantum Mechanics |
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67 | (5) |
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Systems with Discontinuity in the Potential Field |
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69 | (2) |
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Hydrogen Transfer Reaction |
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71 | (1) |
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72 | (5) |
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Chapter 5 Applications of Schrodinger Equation-2 (Simple Systems with Variable Potential Energy) |
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5.1 One-dimensional Harmonic Oscillator |
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77 | (5) |
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Wave functions of the harmonic oscillator |
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80 | (2) |
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82 | (19) |
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83 | (2) |
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85 | (3) |
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88 | (1) |
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89 | (1) |
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90 | (1) |
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90 | (1) |
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91 | (1) |
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Wave Functions of the Hydrogen Atom |
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92 | (2) |
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Hydrogen like Wave Functions |
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94 | (1) |
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94 | (1) |
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The Radial Distribution Functions |
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95 | (2) |
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Show that r = a0 for the 1s orbital |
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97 | (1) |
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The Angular Function Y(θ,Φ) |
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98 | (1) |
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Nomenclature of p Orbitals |
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99 | (1) |
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Nomenclature of d Orbitals |
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100 | (1) |
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Chapter 6 Approximation Methods |
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101 | (4) |
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Perturbation theory consists of a set of successive corrections to an unperturbed problem |
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103 | (2) |
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6.2 The Variational Method |
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105 | (3) |
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107 | (1) |
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108 | (4) |
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108 | (4) |
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112 | (3) |
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Chapter 7 Bonding in Molecules |
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7.1 Molecular Orbital Theory |
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115 | (12) |
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Hamiltonian operator for H2+ and H2 |
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123 | (1) |
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The Stability of Hydrogen Molecule Ion |
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124 | (3) |
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127 | (4) |
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131 | (8) |
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Linear Structure -- BeCl2 |
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132 | (2) |
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Trigonal Planar Structure |
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134 | (1) |
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135 | (2) |
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137 | (2) |
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8.1 SI Units (Systeme International d'unites) |
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139 | (1) |
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139 | (2) |
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141 | (1) |
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141 | (1) |
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141 | (1) |
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8.6 Experimental Foundation |
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142 | (1) |
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8.7 Calculation of Effective Nuclear Charge |
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143 | (3) |
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146 | (1) |
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146 | (1) |
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147 | (3) |
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150 | (1) |
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(Conversion from Cartesian to Polar coordinates) |
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150 | (1) |
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8.11 Supplement to Rigid Rotor |
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151 | (1) |
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Associated Legendre function |
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151 | (1) |
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Associated Legendre polynomial |
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151 | (1) |
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8.12 Supplement to One-dimensional Harmonic Oscillator |
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151 | |