Screening Constant by Unit Nuclear Charge Method : Description and Application to the Photoionization of Atomic Systems.

Cover -- Half-Title Page -- Dedication -- Title Page -- Copyright Page -- Contents -- Foreword -- Preface -- Introduction -- PART 1 -- 1. Different Photoionization Processes, Rydberg Series -- 1.1. Photoionization processes -- 1.1.1. Direct photoionization and resonant photoionization -- 1.1.2. Multiple photoionization -- 1.1.3. Illustration of the autoionization phenomenon in the case of two-electron atomic systems -- 1.1.4. Illustration of the processes of photoionization in the case of the carbon ion, C+ -- 1.2. Rydberg Series -- 1.2.1. Definition and notation -- 1.2.2. Resonance energy and natural width -- 2. Experimental and Theoretical Methods of Photoionization -- 2.1. Experimental methods -- 2.1.1. Ionic spectroscopy assemblies in collinear beams -- 2.1.2. New synchrotron radiation assemblies -- 2.2. Theoretical methods -- 2.2.1. General aspects -- 2.2.2. Resonant photoionization methods -- 2.3. Absolute photoionization cross-section -- 2.4. Analysis of resonance energies and quantum defect -- 2.4.1. Concept of quantum defect -- 2.4.2. Standard quantum-defect formula -- 3. General Formalism of the Screening Constant by Unit Nuclear Charge Method Applied to Photoionization -- 3.1. Genesis of the screening constant by unit nuclear charge method -- 3.1.1. Introduction to the screening constant by unit nuclear charge -- 3.1.2. General expression of the total energies of autoionizing states of helium-like systems -- 3.1.3. Procedures for determining the screening constant by unit nuclear charge -- 3.2. Expression of the total energy of three-electron atomic systems -- 3.2.1. Interaction model -- 3.2.2. Expression of the energy of the ground state -- 3.2.3. Expression of the energy of the autoionizing states -- 3.3. General expressions of the resonance energies and widths of Rydberg series of multi-electron atomic systems.

3.3.1. Expression of the resonance energies -- 3.3.2. Expression of the resonance widths -- 3.3.3. Analysis of the resonance energies -- 3.3.4. Principle of determining absolute errors -- PART 2. Applications in the Calculations of Energies and Natural Widths of the Resonance States of Multi-Electron Atomic Sytems -- Introduction to Part 2 -- 4. Application to the Calculation of Energies of Two-electron Atomic Systems (Helium-like Systems) -- 4.1. Energy of the ground state of helium-like systems -- 4.2. Energy of the excited states, 1sns 1,3Se, of helium-like systems -- 4.3. Energy of the doubly excited symmetric states, ns2 and np2, of helium-like systems -- 4.4. Calculation of the resonance energies and natural widths of the Rydberg series, 2(1,0)n+ 1Se , of the helium atom -- 4.5. Effect of the nucleus on the accuracy of semi-empirical calculations -- 4.6. Resonance energy of the Rydberg series, 2(1, 0)±n 1,3P° and 2(1, 0)−n1P°, of the Li+ helium-like ion -- 4.7. Resonance energies of the Rydberg series, 1,3Se, of the Li+ heliumlike ion converging toward the excitation threshold, n = 2 -- 4.8. Calculation of the energies of the Rydberg states, 3(1,1)+n1P0, of helium-like systems -- 4.9. Physical interpretation of the angular-correlation quantum number, K -- 5. Calculating the Energies of Three-electron Atomic Systems (Lithium-like Systems) -- 5.1. Energy of the ground state of lithium-like systems -- 5.2. Energy of the doubly excited states, ls2snl 2L, of lithium-like systems -- 5.3. Energy of the doubly excited states, ls2sns 2S, of lithium-like systems -- 5.4. Energy of the single excitation states, 1s2nl2Lπ (1 ≤ / ≤ 3), of lithium-like systems -- 5.4.1. Energies of the excited states (1s2np -- 2P°) -- 5.4.2. Energies of the excited states (1s2nd -- 2De) and (1s2nf -- 2F°) -- 5.4.3. Results.

6. Application in the Resonant Photoionization of Atomic Systems of Atomic Numbers Z = 4-12 -- 6.1. Resonance energies of the Rydberg series, (2pns 1P°) and (2pnd 1P°), of beryllium -- 6.1.1. Preliminary text -- 6.1.2. Resonance energies of the Rydberg series, 2pns and 2pnd, of beryllium -- 6.2. Resonance energies of the excited states, 1s2p4 2,4L, of five-electron atomic systems (boron-like systems) -- 6.3. Energies and widths of the Rydberg series, 2pns 1,3P° and 2pnd 1.3P°, of the beryllium-like B+ ion -- 6.3.1. Expressions of the resonance energies -- 6.3.2. Expressions of the natural widths -- 6.3.3. Results and discussion -- 6.4. Energies and widths of the Rydberg series, 2pnl 1,3 P°, of berylliumlike ions C2+, N3+. ….. and Ar14+ -- 6.4.1. Expressions of the resonance energies -- 6.4.2. Expressions of the natural widths -- 6.4.3. Results and discussion -- 6.5. Resonance energies of the Rydberg series, 2s22p4 (1D2) ns, nd, 2s22p4 (1S0)ns, nd and 2s2p5 (3P2)np, of the Ne+ ion -- 6.5.1. Expressions of the resonance energies -- 6.5.2. Results and discussion -- 6.6. 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 -- 6.6.1. Expressions of the resonance energies -- 6.6.2. Results and discussion -- 6.7. Energies and widths of the Rydberg series, 3pns 1.3P, 3pnd 1.3P and 3pnd 3D, of magnesium (Mg) -- 6.7.1. Expressions of the resonance energies -- 6.7.2. Expressions of the resonance widths -- 6.7.3. Results and discussion -- 6.8. Energies and widths of several resonance states resulting from the photoexcitation 1s → 2p of the N3+ and N4+ ions -- 6.8.1. Expressions of the resonance energies -- 6.8.2. Expressions of the resonance widths -- 6.8.3. Results and discussion -- 7. Resonant Photoionization of Sulfur (S) and Ar+, Se+, Se2+ and Kr+ Ions -- 7.1. Photoionization of sulfur.

7.1.1. Expressions of the resonance energies -- 7.1.2. Results -- 7.2. Photoionization of the krypton ion (Kr+) -- 7.2.1. Expressions of the resonance energies -- 7.2.2. Results -- 7.3. Photoionization of the Argon ion (Ar+) -- 7.3.1. Expressions of the resonance energies -- 7.3.2. Expression of the natural widths -- 7.3.3. Results -- 7.4. Resonant photoionization of the selenium ions, Se+, Se2+ and Se3+ -- 7.4.1. Photoionization of the selenium ion (Se+) -- 7.4.2. Photoionization of the selenium ion (Se2+) -- 7.4.3. Photoionization of the selenium ion (Se3+) -- Conclusion: Advantages and Limits of the SCUNC Formalism -- Appendices -- Appendix 1: Detailed Calculation of the Screening Constant by Unit Nuclear Charge Relative to the Ground State of Two-electron Atomic Systems -- Appendix 2: Formalism of Slater's Atomic Orbital Theory -- Appendix 3: Modified Formalism of the Atomic Orbital Theory -- Bibliography -- Index -- Other titles from iSTE in Waves -- EULA.

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