| Foreword |
|
xi | |
| Preface |
|
xv | |
| Introduction |
|
xix | |
|
|
|
1 | (54) |
|
Chapter 1 Different Photoionization Processes, Rydberg Series |
|
|
3 | (18) |
|
1.1 Photoionization processes |
|
|
3 | (7) |
|
1.1.1 Direct photoionization and resonant photoionization |
|
|
3 | (3) |
|
1.1.2 Multiple photoionization |
|
|
6 | (1) |
|
1.1.3 Illustration of the autoionization phenomenon in the case of two-electron atomic systems |
|
|
7 | (2) |
|
1.1.4 Illustration of the processes of photoionization in the case of the carbon ion, C+ |
|
|
9 | (1) |
|
|
|
10 | (11) |
|
1.2.1 Definition and notation |
|
|
10 | (5) |
|
1.2.2 Resonance energy and natural width |
|
|
15 | (6) |
|
Chapter 2 Experimental and Theoretical Methods of Photoionization |
|
|
21 | (12) |
|
|
|
21 | (1) |
|
2.1.1 Ionic spectroscopy assemblies in collinear beams |
|
|
21 | (1) |
|
2.1.2 New synchrotron radiation assemblies |
|
|
22 | (1) |
|
|
|
22 | (2) |
|
|
|
22 | (1) |
|
2.2.2 Resonant photoionization methods |
|
|
23 | (1) |
|
2.3 Absolute photoionization cross-section |
|
|
24 | (4) |
|
2.4 Analysis of resonance energies and quantum defect |
|
|
28 | (5) |
|
2.4.1 Concept of quantum defect |
|
|
28 | (1) |
|
2.4.2 Standard quantum-defect formula |
|
|
29 | (4) |
|
Chapter 3 General Formalism of the Screening Constant by Unit Nuclear Charge Method Applied to Photoionization |
|
|
33 | (22) |
|
3.1 Genesis of the screening constant by unit nuclear charge method |
|
|
33 | (10) |
|
3.1.1 Introduction to the screening constant by unit nuclear charge |
|
|
33 | (6) |
|
3.1.2 General expression of the total energies of autoionizing states of helium-like systems |
|
|
39 | (1) |
|
3.1.3 Procedures for determining the screening constant by unit nuclear charge |
|
|
40 | (3) |
|
3.2 Expression of the total energy of three-electron atomic systems |
|
|
43 | (5) |
|
|
|
43 | (1) |
|
3.2.2 Expression of the energy of the ground state |
|
|
44 | (2) |
|
3.2.3 Expression of the energy of the autoionizing states |
|
|
46 | (2) |
|
3.3 General expressions of the resonance energies and widths of Rydberg series of multi-electron atomic systems |
|
|
48 | (7) |
|
3.3.1 Expression of the resonance energies |
|
|
48 | (3) |
|
3.3.2 Expression of the resonance widths |
|
|
51 | (1) |
|
3.3.3 Analysis of the resonance energies |
|
|
51 | (1) |
|
3.3.4 Principle of determining absolute errors |
|
|
52 | (3) |
|
Part 2 Applications in the Calculations of Energies and Natural Widths of the Resonance States of Multi-Electron Atomic Systems |
|
|
55 | (264) |
|
|
|
57 | (2) |
|
Chapter 4 Application to the Calculation of Energies of Two-electron Atomic Systems (Helium-like Systems) |
|
|
59 | (58) |
|
4.1 Energy of the ground state of helium-like systems |
|
|
59 | (2) |
|
4.2 Energy of the excited states, 1sns 1,3Se, of helium-like systems |
|
|
61 | (4) |
|
4.3 Energy of the doubly excited symmetric states, ns2 and np2, of helium-like systems |
|
|
65 | (2) |
|
4.4 Calculation of the resonance energies and natural widths of the Rydberg series, 2(1,0)+n 1Se, of the helium atom |
|
|
67 | (4) |
|
4.5 Effect of the nucleus on the accuracy of semi-empirical calculations |
|
|
71 | (1) |
|
4.6 Resonance energy of the Rydberg series, 2(1,0) ±n 1,3P° and 2(1,0)-n 1P°, of the Li+ helium-like ion |
|
|
72 | (6) |
|
4.7 Resonance energies of the Rydberg series, 1,3Se, of the Li+ helium-like ion converging toward the excitation threshold, n = 2 |
|
|
78 | (2) |
|
4.8 Calculation of the energies of the Rydberg states, 3(1,1)+n 1P°, of helium-like systems |
|
|
80 | (2) |
|
4.9 Physical interpretation of the angular-correlation quantum number, K |
|
|
82 | (35) |
|
Chapter 5 Calculating the energies of Three-electron Atomic Systems (Lithium-like Systems) |
|
|
117 | (32) |
|
5.1 Energy of the ground state of lithium-like systems |
|
|
117 | (2) |
|
5.2 Energy of the doubly excited states, 1s2snl 2L, of lithium-like systems |
|
|
119 | (4) |
|
5.3 Energy of the doubly excited states, 1s2sns 2S, of lithium-like systems |
|
|
123 | (9) |
|
5.4 Energy of the single excitation states, 1s2nl 2Lπ (1 ≤ 1 ≤ 3), of lithium-like systems |
|
|
132 | (17) |
|
5.4.1 Energies of the excited states (1s2np; 2P°) |
|
|
133 | (3) |
|
5.4.2 Energies of the excited states (1s2nd; 2De) and (1s2nf; 2F°) |
|
|
136 | (1) |
|
|
|
137 | (12) |
|
Chapter 6 Application in the Resonant Photoionization of Atomic Systems of Atomic Numbers Z = 4--12 |
|
|
149 | (106) |
|
6.1 Resonance energies of the Rydberg series, (2pns 1P°) and (2pnd 1P°), of beryllium |
|
|
149 | (4) |
|
|
|
149 | (2) |
|
6.1.2 Resonance energies of the Rydberg series, 2pns and 2pnd, of beryllium |
|
|
151 | (2) |
|
6.2 Resonance energies of the excited states, 1s2p42,4L, of five-electron atomic systems (boron-like systems) |
|
|
153 | (11) |
|
6.3 Energies and widths of the Rydberg series, 2pns 1,3P° and 2pnd 1,3P°, of the beryllium-like B+ ion |
|
|
164 | (17) |
|
6.3.1 Expressions of the resonance energies |
|
|
165 | (1) |
|
6.3.2 Expressions of the natural widths |
|
|
166 | (2) |
|
6.3.3 Results and discussion |
|
|
168 | (13) |
|
6.4 Energies and widths of the Rydberg series, 2pnl 1,3P° of beryllium-like ions C2+, N3+... and Ar14+ |
|
|
181 | (25) |
|
6.4.1 Expressions of the resonance energies |
|
|
182 | (1) |
|
6.4.2 Expressions of the natural widths |
|
|
183 | (1) |
|
6.4.3 Results and discussion |
|
|
184 | (22) |
|
6.5 Resonance energies of the Rydberg series, 2s2p4 (1D2) ns, nd, 2s22p4 (1S0)ns, nd and 2s2p5 (3P2)np, of the Ne+ ion |
|
|
206 | (16) |
|
6.5.1 Expressions of the resonance energies |
|
|
207 | (2) |
|
6.5.2 Results and discussion |
|
|
209 | (13) |
|
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 |
|
|
222 | (8) |
|
6.6.1 Expressions of the resonance energies |
|
|
222 | (1) |
|
6.6.2 Results and discussion |
|
|
223 | (7) |
|
6.7 Energies and widths of the Rydberg series, 3pns 1.3P, 3pnd 1.3P and 3pnd 3D, of magnesium (Mg) |
|
|
230 | (15) |
|
6.7.1 Expressions of the resonance energies |
|
|
231 | (1) |
|
6.7.2 Expressions of the resonance widths |
|
|
232 | (2) |
|
6.7.3 Results and discussion |
|
|
234 | (11) |
|
6.8 Energies and widths of several resonance states resulting from the photoexcitation Is → 2p of the N3+ and N4+ ions |
|
|
245 | (10) |
|
6.8.1 Expressions of the resonance energies |
|
|
247 | (1) |
|
6.8.2 Expressions of the resonance widths |
|
|
248 | (1) |
|
6.8.3 Results and discussion |
|
|
249 | (6) |
|
Chapter 7 Resonant Photoionization of Sulfur (S) and Ar+, Se+, Se2+ and Kr+ Ions |
|
|
255 | (64) |
|
7.1 Photoionization of sulfur |
|
|
255 | (9) |
|
7.1.1 Expressions of the resonance energies |
|
|
256 | (1) |
|
|
|
257 | (7) |
|
7.2 Photoionization of the krypton ion (Kr+) |
|
|
264 | (6) |
|
7.2.1 Expressions of the resonance energies |
|
|
265 | (1) |
|
|
|
265 | (5) |
|
7.3 Photoionization of the Argon ion (Ar+) |
|
|
270 | (13) |
|
7.3.1 Expressions of the resonance energies |
|
|
271 | (1) |
|
7.3.2 Expression of the natural widths |
|
|
272 | (1) |
|
|
|
272 | (11) |
|
7.4 Resonant photoionization of the selenium ions, Se+, Se2+ and Se3+ |
|
|
283 | (36) |
|
7.4.1 Photoionization of the selenium ion (Se+) |
|
|
283 | (18) |
|
7.4.2 Photoionization of the selenium ion (Se2+) |
|
|
301 | (7) |
|
7.4.3 Photoionization of the selenium ion (Se3+) |
|
|
308 | (11) |
|
|
|
319 | (6) |
|
|
|
325 | (28) |
|
Appendix 1 Detailed Calculation of the Screening Constant by Unit Nuclear Charge Relative to the Ground State of Two-electron Atomic Systems |
|
|
327 | (8) |
|
Appendix 2 Formalism of Slater's Atomic Orbital Theory |
|
|
335 | (6) |
|
Appendix 3 Modified Formalism of the Atomic Orbital Theory |
|
|
341 | (12) |
| Bibliography |
|
353 | (18) |
| Index |
|
371 | |
