Screening Constant by Unit Nuclear Charge Method

Ibrahima Sakho, Assane Seck University of Ziguinchor, Senegal.

• Foreword xiPreface xvIntroduction xixPart 1 1Chapter 1. Different Photoionization Processes, Rydberg Series 31.1. Photoionization processes 31.2. Rydberg Series 10Chapter 2. Experimental and Theoretical Methods of Photoionization 212.1. Experimental methods 212.2. Theoretical methods 222.3. Absolute photoionization cross-section 242.4. Analysis of resonance energies and quantum defect 28Chapter 3. General Formalism of the Screening Constant by Unit Nuclear Charge Method Applied to Photoionization 333.1. Genesis of the screening constant by unit nuclear charge method 333.2. Expression of the total energy of three-electron atomic systems 433.3. General expressions of the resonance energies and widths of Rydberg series of multi-electron atomic systems 48Part 2. Applications in the Calculations of Energies and Natural Widths of the Resonance States ofMulti-Electron Atomic Systems 55Introduction to Part 2 57Chapter 4. Application to the Calculation of Energies of Two-electron Atomic Systems (Helium-like Systems) 594.1. Energy of the ground state of helium-like systems 594.2. Energy of the excited states, 1sns 1,3Se, of helium-like systems 614.3. Energy of the doubly excited symmetric states, ns2 and np2, of helium-like systems 654.4. Calculation of the resonance energies and natural widths of the Rydberg series, 2 (1,0)n1Se, of the helium atom 674.5. Effect of the nucleus on the accuracy of semi-empirical calculations 714.6. Resonance energy of the Rydberg series, 2 (1,0)n1,3P°and 2 (1,0)n−P°, of the Li+ helium-like ion 724.7. Resonance energies of the Rydberg series,1,3Se, of the Li+ helium-like ion converging toward the excitation threshold, n = 2 784.8. Calculation of the energies of the Rydberg states,3 (1,1)n 1P0, of helium-like systems 804.9. Physical interpretation of the angular-correlation quantum number, K 82Chapter 5. Calculating the energies of Three-electron Atomic Systems (Lithium-like Systems) 1175.1. Energy of the ground state of lithium-like systems 1175.2. Energy of the doubly excited states, ls2snl 2L, of lithium-like systems 1195.3. Energy of the doubly excited states, ls2sns 2S, of lithium-like systems 1235.4. Energy of the single excitation states, 1s2nl 2L„Ãn(1 ≤ƒnl ≤ƒn3), of lithium-like systems 132Chapter 6. Application in the Resonant Photoionization of Atomic Systems of Atomic Numbers Z = 4–12 1496.1. Resonance energies of the Rydberg series, (2pns 1P°) and (2pnd 1P°), of beryllium 1496.2. Resonance energies of the excited states, 1s2p4 2,4L, of five-electron atomic systems (boron-like systems) 1536.3. Energies and widths of the Rydberg series, 2pns 1,3P°and 2pnd 1.3P°, of the beryllium-like B+ ion 1646.4. Energies and widths of the Rydberg series, 2pnl 1,3P°, of beryllium-like ions C2+, N3+. ….. and Ar14+  1816.5. Resonance energies of the Rydberg series, 2s22p4 (1D2)ns, nd, 2s22p4 (1S0)ns, nd and 2s2p5 (3P2)np, of the Ne+ ion 2066.6. Energies of the Rydberg series, 2s22p2 (1D)nd (2L), 2s22p2 (1S)nd (2L), 2s2p3(5S0)np (4P) and 2s22p3 (3D)np, of the F2+ ion 2226.7. Energies and widths of the Rydberg series, 3pns 1.3P, 3pnd 1.3P and 3pnd 3D, of magnesium (Mg) 2306.8. Energies and widths of several resonance states resulting from the photoexcitation 1s →2p of the N3+ and N4+ ions 245Chapter 7. Resonant Photoionization of Sulfur (S) and Ar+, Se+, Se2+ and Kr+ Ions 2557.1. Photoionization of sulfur 2557.2. Photoionization of the krypton ion (Kr+) 2647.3. Photoionization of the Argon ion (Ar+) 2707.4. Resonant photoionization of the selenium ions, Se+, Se2+ and Se3+  283Conclusion 319Appendices 325Appendix 1. Detailed Calculation of the Screening Constant by Unit Nuclear Charge Relative to the Ground State of Two-electron Atomic Systems 327Appendix 2. Formalism of Slater’s Atomic Orbital Theory 335Appendix 3. Modified Formalism of the Atomic Orbital Theory 341Bibliography 353Index 371