1 The Basics of Quantum Mechanics for the Weakest BoundElectron(WBE)Theory 1
11 The Wave-Particle Duality 1
12 The Uncertainty Principle 1
13 The Schrodinger Equation 3
14 Electron Spin and Spin Orbital [3,6-8]6
15 The Indistinguishability of Micro Identical Particles 9
16 Pauli Exclusion Principle and Periodic Table 10
17 One of the Approximation Methods in Quantum
Mechanics—The Variation Method 14
References 18
2 The Weakest Bound Electron Theory(1)21
21 The Concept of the Weakest Bound Electron 21
22 Ionization Process and Aufbau-Like Process is Reversible 23
23 The One-Electron Hamiltonian for the Weakest Bound Electron 26
231The Non-Relativistic One-Electron Hamiltonian for the Weakest Bound Electron 26
232 The Treatment of Magnetic Interaction Between Electrons 30
233 Relativistic Hamiltonian 31
24 The One-Electron Schrodinger Equation of the Weakest
Bound Electron 33
25 The Key Points of the WBE Theory 35
References 35
3 The Weakest Bound Electron Theory (2)37
31 Potential Function37
32 The Solution of the Radial Equation 39
321Spherical Harmonic 39
322 Generalized Laguerre Functions 42
323 Restore the Form of Hydrogen and Hydrogen-Like Atoms 47
324 The Definition and Properties of Generalized Laguerre Functions 48
325 The Proof of the Satisfaction of Hellmann-Feynman Theorem54
33 Matrix Element and Mean Value of Radial Operator rk 56
34 The Exact Solutions of Scattering States in WBEPM Theory 58
35 The Formula for the Calculation of Fine Structure 60
36 Calculation of Spin-Orbit Coupling Coefficient 61
37 Relation Between the WBEPM Theory and Slater-Type Orbitals 62
References 66
4 The Application of the WBE Theory 69
41 Ionization Energy [1-10] 69
411Introduction 69
412 Iso-spectrum-level Series and the Differential Law of Ionization Energy in the Series 76
413 Calculation of Ionization Energy 86
414 The Successive Ionization Energies of the 4f
Electrons for the Lanthanides [10]91
42 Energy Level [39-50] 96
421 Introduction 96
422 Formulae for Calculating Energy Levels 99
423 Methods for Parameter Characterization 101
424 Examples 107
43 Calculation of Oscillator Strength, Transition Probability and Radiative Lifetime [88-104]129
431Introduction129
432 Theory and Method for Calculation 131
433 Examples 135
44 Calculation of Total Electron Energy [1,159,160] 155
441 Calculation of Total Electron Energy of the SystemUsing Ionization Energy 157
442 Variational Treatment on the Energy of the He-Sequence Ground State with the WBEPTheory 158
443 Perturbation Treatment on the Energy
of the He-Sequence Ground State with the WBEPMTheory [160] 176
45 Electronegativity, Hard and Soft Acids and Bases, and the Molecular Design of Coordination Polymers 179
451 The Electronegativity Concept and Scale 179
452 The Nuclear Potential Scale of the Weakest Bound Electron [185,200] 180
453 The Hard-Soft-Acid-Base Concept and Scale 185
454 Molecular Design of Coordination Polymers 188
References 196
Representation Publications 207
Postscript 211
Index 213
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