Theory of atomic spectra:
Gespeichert in:
Vorheriger Titel: | Sobel'man, Igor' I. Atomic spectra and radiative transitions |
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1. Verfasser: | |
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Oxford, UK
Alpha Science Internat.
2006
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XII, 366 S. graph. Darst. |
ISBN: | 9781842652039 1842652036 |
Internformat
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020 | |a 9781842652039 |c hbk. |9 978-1-84265-203-9 | ||
020 | |a 1842652036 |9 1-84265-203-6 | ||
035 | |a (OCoLC)255211967 | ||
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100 | 1 | |a Sobel'man, Igor' I. |d 1927- |e Verfasser |0 (DE-588)104311924 |4 aut | |
245 | 1 | 0 | |a Theory of atomic spectra |c Igor I. Sobelman |
264 | 1 | |a Oxford, UK |b Alpha Science Internat. |c 2006 | |
300 | |a XII, 366 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
650 | 0 | 7 | |a Strahlungsübergang |0 (DE-588)4183547-5 |2 gnd |9 rswk-swf |
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689 | 1 | |5 DE-604 | |
780 | 0 | 0 | |i Früher u.d.T. |a Sobel'man, Igor' I. |t Atomic spectra and radiative transitions |
856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016719234&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
999 | |a oai:aleph.bib-bvb.de:BVB01-016719234 |
Datensatz im Suchindex
_version_ | 1804137990007554048 |
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adam_text | Contents
Preface
Parti
Elementary
Information on
Atomic Spectra
Chapter
1
The Hydrogen Spectrum
1.1 Schrödinger s
Equation for the Hydrogen Atom
.................... 3
1.1.1
Energy Levels
............................................. 3
1.1.2
Wave Functions
........................................... 5
1.2
Series Regularities
............................................... 7
1.2.1
Radiative Transition Selection Rules
......................... 7
1.2.2
Spectral Series of the Hydrogen Atom
....................... 8
1.2.3
Hydrogenlike Ions
......................................... 9
1.3
Fine Structure
.................................................. 10
1.3.1
Velocity Dependence of Electron Mass
....................... 10
1.3.2
Spin-Orbit Interaction
...................................... 11
1.3.3
Fine Structure. Selection Rules
.............................. 12
1.3.4
Lamb Shift
............................................... 15
Chapter
2
Systematics of the Spectra of Multielectron Atoms
2.1
Central Field
................................................... 16
2.1.1
Central Field Approximation
................................ 16
2.1.2
Parity of States
............................................ 18
2.1.3
Systematics of Electron States in a Central Field
.............. 19
2.2
Electrostatic and Spin-Orbit Splitting in the LS Coupling
Approximation
................................................. 20
2.2.1
Spectral Terms. LS Quantum Numbers
....................... 20
2.2.2
Fine Structure of Terms
.................................... 21
2.2.3
Finding the Terms of Multielectron Configurations
............ 23
2.2.4
Radiative Transitions
....................................... 26
2.3
j j
Coupling Approximation
...................................... 27
2.3.1
Various Coupling Schemes
.................................. 27
2.3.2
Systematics of Electron States with
j j
Coupling
............... 29
viii Contents
Chapter
3
Spectra of Multielectron Atoms
3.1
Periodic System of Elements
..................................... 32
3.2
Spectra of the Alkali Elements
.................................... 34
3.2.1
Term Scheme
............................................. 34
3.2.2
Series Regularities
......................................... 37
3.2.3
Fine Structure
............................................. 37
3.2.4
Copper, Silver, and Gold Spectra
............................ 38
3.3
Spectra of the Alkaline Earth Elements
............................ 39
3.3.1
He Spectrum
..............!............................... 39
3.3.2
Spectra of the Alkaline Earth Elements
....................... 40
3.3.3
Zinc, Cadmium, and Mercury Spectra
........................ 42
3.4
Spectra of Elements with
ρ
Valence Electrons
...................... 42
3.4.1
One
ρ
Electron Outside Filled Shells
......................... 42
3.4.2
Configuration p2
.......................................... 43
3.4.3
Configuration
рг
.......................................... 44
3.4.4
Configuration p*
.......................................... 45
3.4.5
Configuration p5
.......................................... 46
3.4.6
Configuration p6
.......................................... 46
3.5
Spectra of Elements with Unfilled
d
and
f
Shells
.................... 48
3.5.1
Elements with Unfilled
d
Shells
.............................. 48
3.5.2
Elements with Unfilled
ƒ
Shells
.............................. 49
Partii
Theory of Atomic Spectra
Chapter
4
Angular Momenta
4.1
Angular Momentum Operator. Addition of Angular Momenta
....... 53
4.1.1
Angular Momentum Operator
............................... 53
4.1.2
Orbital Angular Momentum
................................ 54
4.1.3
Electron Spin
............................................. 54
4.1.4
Addition of Two Angular Momenta
......................... 55
4.1.5
Addition of Three or More Angular Momenta
................ 57
4.2
Angular Momentum Vector Addition Coefficients
................... 60
4.2.1
Clebsch-Gordan and Associated Coefficients
.................. 60
4.2.2
Summary of Formulas for 3j Symbols
....................... 62
4.2.3
Racah
W
Coefficients and 6y Symbols
....................... 66
4.2.4
Summary of Formulas for 6y Symbols
....................... 70
4.2.5
9y Symbols
............................................... 72
4.3
Irreducible Tensor Operators
..................................... 74
Contents ix
4.3.1
Spherical
Tensors.......................................... 74
4.3.2 Matrix Elements........................................... 76
4.3.3
Some Examples of Calculation of Reduced Matrix Elements
___ 78
4.3.4
Tensor Product of Operators
................................ 80
4.3.5
Matrix Elements with Coupled Angular Momenta
............. 84
4.3.6
Direct Product of Operators
................................ 86
Chapter
5
Systematics of the States of Multielectron Atoms
5.1
Wave Functions
................................................ 89
5.1.1
Central Field Approximation
................................ 89
5.1.2
Two-Electron Wave Functions in LSMLMS Representation
..... 90
5.1.3
Two-Electron Wave Functions in mm SMg Representation
..... 93
5.1.4
Multielectron Wave Functions in a Parentage Scheme
Approximation
............................................ 96
5.1.5
Fractional Parentage Coefficients
............................ 96
5.1.6
Classification of Identical Terms of
/
Configuration According
to Seniority (Seniority Number)
............................. 98
5.2
Matrix Elements of Symmetric Operators
.......................... 106
5.2.1
Statement of the Problem
.................................. 106
5.2.2
F
Matrix Elements. Parentage Scheme Approximation
.......... 108
5.2.3
F
Matrix Elements. Equivalent Electrons
..................... 109
5.2.4
Q
Matrix Elements. Parentage Scheme Approximation
.........
Ill
5.2.5
Q
Matrix Elements. Equivalent Electrons
..................... 113
5.2.6
Summary of Results
....................................... 115
5.3
Electrostatic Interaction in LS Coupling. Two-Electron Configuration
. 115
5.3.1
Coulomb and Exchange Integrals
............................. 115
5.3.2
Configuration Mixing
...................................... 118
5.4
Electrostatic Interaction in LS Coupling. Multielectron Configuration
. 120
5.4.1
Configurations
/
and
/ / .................................. 120
5.4.2
More Than Half Filled Shells
............................... 123
5.4.3
Filled (Closed) Shells
....................................... 123
5.4.4
Applicability of the Single-Configuration Approximation
....... 124
5.5
Multiplet
Splitting in LS Coupling
................................ 126
5.5.1
Preliminary Remarks
....................................... 126
5.5.2 Lande
Interval Rule
........................................ 126
5.5.3
One Electron Outside Closed Shells
.......................... 128
5.5.4
Configuration
/ ........................................... 130
5.5.5
Parentage Scheme Approximation
........................... 132
5.5.6
Fine-Structure Splitting of Levels of He
...................... 133
5.5.7
Spin-Spin and Spin-Other Orbit Interactions
.................. 139
5.6
jj Coupling
.................................................... 141
5.6.1
Wave Functions
........................................... 141
5.6.2
Spin-Orbit and Electrostatic Interactions
...................... 143
x
Contents
5.7
Intermediate
Coupling and Other Types of Coupling
................ 144
5.7.1
Transformations Between LS and
j j
Coupling Schemes
......... 144
5.7.2
Intermediate Coupling
...................................... 147
5.7.3
jl Coupling
............................................... 152
5.7.4
Experimental Date
......................................... 153
5.7.5
Other Types of Coupling
................................... 154
Chapter
6
Hyperfine Structure of Spectral Lines
6.1
Nuclear Magnetic
Dipole
and Electric Quadrupole Moments
.......... 156
6.1.1
Magnetic Moments
........................................ 156
6.1.2
Quadrupole Moments
...................................... 157
6.2
Hyperfine Splitting
.............................................. 159
6.2.1
General Character of the Splitting
........................... 159
6.2.2
Calculation of the Hyperfine Splitting Constant A
............. 162
6.2.3
Calculation of the Hyperfine Splitting Constant
В
............. 168
6.2.4
Radiative Transitions Between Hyperfine-Structure Components.
170
6.2.5
Isotope Shift of the Atomic Levels
........................... 170
Chapter
7
The Atom in an External Electric Field
7.1
Quadratic Stark Effect
........................................... 173
7.2
Hydrogenlike Levels. Linear Stark Effect
.......................... 177
7.3
Inhomogeneous Field. Quadrupole Splitting
........................ 181
7.4
Time-Dependent Field
........................................... 183
7.4.1
Amplitude Modulation
..................................... 183
7.4.2
The Hydrogen Atom in a Rotating Electric Field
.............. 187
Chapter
8
The Atom in an External Magnetic Field
8.1
Zeeman
Effect
.................................................. 189
8.2
Paschen-Back Effect
............................................ 194
8.2.1
Strong Field
.............................................. 194
8.2.2
Splitting of Hyperfine Structure Components in a Magnetic Field
198
Chapter
9
Radiative Transitions
9.1
Electromagnetic Radiation
....................................... 200
9.1.1
Quantization of the Radiation Field
___,..................... 200
9.1.2
Radiative Transition Probabilities
............................ 201
9.1.3
Correspondence Principle for Spontaneous Emission
........... 202
9.1.4 Dipole
Radiation
.......................................... 203
Contents xi
9.1.5
Stimulated
Emission and Absorption......................... 203
9.1.6
Effective Cross Sections of Absorption and Stimulated Emission
205
9.2
Electric
Dipole
Radiation
........................................ 205
9.2.1
Selection Rules, Polarization and Angular Distribution
......... 205
9.2.2
Oscillator Strengths and Line Strengths
....................... 208
9.2.3
LS Coupling Approximation. Relative Intensities of
Multiplet
Components
.............................................. 211
9.2.4
One Electron Outside Closed Shell
........................... 213
9.2.5
Multielectron Configurations. Different Coupling Schemes
...... 214
9.2.6
Relative Intensities of
Zeeman
and Stark Components of Lines.
. 215
9.3
Multipole Radiation
............................................. 216
9.3.1
Fields of Electric and Magnetic Multipole Moments
............ 216
9.3.2
Intensity of Multipole Radiation
............................. 220
9.3.3
Selection Rules
............................................ 222
9.3.4
Electric Multipole Radiation
................................ 223
9.3.5
Magnetic
Dipole
Radiation
.................................. 225
9.3.6
Transitions Between Hyperfine Structure Components. Radio
Emission from Hydrogen
................................... 227
9.4
Calculation of Radiative Transition Probabilities
.................... 229
9.4.1
Approximate Methods
...................................... 229
9.4.2
Three Ways of Writing Formulas for Transition Probabilities
... 230
9.4.3
Theorems for Sums of Oscillator Strengths
................... 232
9.4.4
Semiempirical Methods of Calculating Oscillator Strengths
...... 235
9.4.5
Electric
Dipole
Transition Probabilities in the Coulomb
Approximation
............................................ 236
9.4.6
Intercombination Transitions
................................ 237
9.5
Continuous Spectrum
............................................ 239
9.5.1
Classification of Processes
....................:............. 239
9.5.2
Photorecombination and Photoionization: General Expressions
for Effective Cross Sections
................................. 239
9.5.3 Bremsstrahlung:
General Expressions for Effective Cross
Sections
.................................................. 245
9.5.4
Radiation and Absorption Coefficients
....................... 248
9.5.5
Photorecombination and Photoionization: Hydrogenlike Atoms
. 251
9.5.6
Photorecombination and Photoionization: Nonhydrogenlike
Atoms
.................................................... 255
9.5.7 Bremsstrahlung
in a Coulomb Field
.......................... 257
9.6
Formulas for
Q
Factors
.......................................... 274
9.6.1
Symmetry and Sum Rules
.................................. 274
9.6.2
LS Coupling. Allowed Transitions
........................... 275
9.6.3
jl Coupling
............................................... 279
9.7
Tables of Oscillator Strengths and Radiative Transition Probabilities
.. 281
9.7.1
Transition Probabilities for the Hydrogen Atom
............... 281
9.7.2
Radiative Transition Probabilities in the Bates-Damgaard
Approximation
............................................ 283
x»
Contents
9.7.3
Oscillator Strengths and Probabilities of Some Selected
Transitions
.............................................. 284
9.7.4
Effective Cross Sections and Rates of Photorecombination
... 284
Chapter
10
Relativistic Corrections in the Spectroscopy of Multkharged Ions
10.1
Dirac Equation.
Pauli
Equation
................................. 303
10.1.1
Dirac Equation
.......................................... 303
10.1.2
Electron Spin
........................................... 305
10.1.3
Non-Relativistic Approximation.
Pauli
Equation
............. 308
10.2
Central Field
.................................................. 310
10.2.1
Non-Relativistic Approximation
........................... 310
10.2.2
Second Approximation with Respect to v/c. Fine Splitting
----- 313
10.2.3
Dirac Equation for a Central Field
........................ 316
10.2.4
Coulomb Field. Energy Levels, Fine Splitting
............... 319
10.2.5
Coulomb Field. Radial Functions
.......................... 322
10.3
Relativistic Corrections
......................................... 325
10.3.1
Calculation of Some Radial Integrals
....................... 325
10.3.2
Hyperfine Splitting Constant A
............................ 326
10.3.3
Hyperfine Splitting Constant
В
............................ 330
10.3.4
Nucleus Finite-Size Correction
............................. 331
10.3.5
Radiative Corrections. Lamb Shift
......................... 333
Chapter
11
Spectra of Multicharged Ions
11.1
Energy Levels
................................................. 339
11.2
Forbidden Transitions
.......................................... 341
11.2.1
Н
-like
Ions
............................................. 342
11.2.2
He-like Ions
............................................ 342
11.3
Satellite Structure
.............................................. 346
Chapter
12
The Negative Ion H .
12.1
Negative Ion
ВГ.
Electron Affinity
............................................................350
12.2
Photoabsorption
by H~
....................................................
35I
Appendix
.............................................................
References
............................................................
3^j
List of Symbols
.......................................................
363
Subject Index
.........................................................
365
|
adam_txt |
Contents
Preface
Parti
Elementary
Information on
Atomic Spectra
Chapter
1
The Hydrogen Spectrum
1.1 Schrödinger's
Equation for the Hydrogen Atom
. 3
1.1.1
Energy Levels
. 3
1.1.2
Wave Functions
. 5
1.2
Series Regularities
. 7
1.2.1
Radiative Transition Selection Rules
. 7
1.2.2
Spectral Series of the Hydrogen Atom
. 8
1.2.3
Hydrogenlike Ions
. 9
1.3
Fine Structure
. 10
1.3.1
Velocity Dependence of Electron Mass
. 10
1.3.2
Spin-Orbit Interaction
. 11
1.3.3
Fine Structure. Selection Rules
. 12
1.3.4
Lamb Shift
. 15
Chapter
2
Systematics of the Spectra of Multielectron Atoms
2.1
Central Field
. 16
2.1.1
Central Field Approximation
. 16
2.1.2
Parity of States
. 18
2.1.3
Systematics of Electron States in a Central Field
. 19
2.2
Electrostatic and Spin-Orbit Splitting in the LS Coupling
Approximation
. 20
2.2.1
Spectral Terms. LS Quantum Numbers
. 20
2.2.2
Fine Structure of Terms
. 21
2.2.3
Finding the Terms of Multielectron Configurations
. 23
2.2.4
Radiative Transitions
. 26
2.3
j j
Coupling Approximation
. 27
2.3.1
Various Coupling Schemes
. 27
2.3.2
Systematics of Electron States with
j j
Coupling
. 29
viii Contents
Chapter
3
Spectra of Multielectron Atoms
3.1
Periodic System of Elements
. 32
3.2
Spectra of the Alkali Elements
. 34
3.2.1
Term Scheme
. 34
3.2.2
Series Regularities
. 37
3.2.3
Fine Structure
. 37
3.2.4
Copper, Silver, and Gold Spectra
. 38
3.3
Spectra of the Alkaline Earth Elements
. 39
3.3.1
He Spectrum
.!. 39
3.3.2
Spectra of the Alkaline Earth Elements
. 40
3.3.3
Zinc, Cadmium, and Mercury Spectra
. 42
3.4
Spectra of Elements with
ρ
Valence Electrons
. 42
3.4.1
One
ρ
Electron Outside Filled Shells
. 42
3.4.2
Configuration p2
. 43
3.4.3
Configuration
рг
. 44
3.4.4
Configuration p*
. 45
3.4.5
Configuration p5
. 46
3.4.6
Configuration p6
. 46
3.5
Spectra of Elements with Unfilled
d
and
f
Shells
. 48
3.5.1
Elements with Unfilled
d
Shells
. 48
3.5.2
Elements with Unfilled
ƒ
Shells
. 49
Partii
Theory of Atomic Spectra
Chapter
4
Angular Momenta
4.1
Angular Momentum Operator. Addition of Angular Momenta
. 53
4.1.1
Angular Momentum Operator
. 53
4.1.2
Orbital Angular Momentum
. 54
4.1.3
Electron Spin
. 54
4.1.4
Addition of Two Angular Momenta
. 55
4.1.5
Addition of Three or More Angular Momenta
. 57
4.2
Angular Momentum Vector Addition Coefficients
. 60
4.2.1
Clebsch-Gordan and Associated Coefficients
. 60
4.2.2
Summary of Formulas for 3j Symbols
. 62
4.2.3
Racah
W
Coefficients and 6y Symbols
. 66
4.2.4
Summary of Formulas for 6y Symbols
. 70
4.2.5
9y Symbols
. 72
4.3
Irreducible Tensor Operators
. 74
Contents ix
4.3.1
Spherical
Tensors. 74
4.3.2 Matrix Elements. 76
4.3.3
Some Examples of Calculation of Reduced Matrix Elements
_ 78
4.3.4
Tensor Product of Operators
. 80
4.3.5
Matrix Elements with Coupled Angular Momenta
. 84
4.3.6
Direct Product of Operators
. 86
Chapter
5
Systematics of the States of Multielectron Atoms
5.1
Wave Functions
. 89
5.1.1
Central Field Approximation
. 89
5.1.2
Two-Electron Wave Functions in LSMLMS Representation
. 90
5.1.3
Two-Electron Wave Functions in mm'SMg Representation
. 93
5.1.4
Multielectron Wave Functions in a Parentage Scheme
Approximation
. 96
5.1.5
Fractional Parentage Coefficients
. 96
5.1.6
Classification of Identical Terms of
/"
Configuration According
to Seniority (Seniority Number)
. 98
5.2
Matrix Elements of Symmetric Operators
. 106
5.2.1
Statement of the Problem
. 106
5.2.2
F
Matrix Elements. Parentage Scheme Approximation
. 108
5.2.3
F
Matrix Elements. Equivalent Electrons
. 109
5.2.4
Q
Matrix Elements. Parentage Scheme Approximation
.
Ill
5.2.5
Q
Matrix Elements. Equivalent Electrons
. 113
5.2.6
Summary of Results
. 115
5.3
Electrostatic Interaction in LS Coupling. Two-Electron Configuration
. 115
5.3.1
Coulomb and Exchange Integrals
. 115
5.3.2
Configuration Mixing
. 118
5.4
Electrostatic Interaction in LS Coupling. Multielectron Configuration
. 120
5.4.1
Configurations
/"
and
/"/'. 120
5.4.2
More Than Half Filled Shells
. 123
5.4.3
Filled (Closed) Shells
. 123
5.4.4
Applicability of the Single-Configuration Approximation
. 124
5.5
Multiplet
Splitting in LS Coupling
. 126
5.5.1
Preliminary Remarks
. 126
5.5.2 Lande
Interval Rule
. 126
5.5.3
One Electron Outside Closed Shells
. 128
5.5.4
Configuration
/". 130
5.5.5
Parentage Scheme Approximation
. 132
5.5.6
Fine-Structure Splitting of Levels of He
. 133
5.5.7
Spin-Spin and Spin-Other Orbit Interactions
. 139
5.6
jj Coupling
. 141
5.6.1
Wave Functions
. 141
5.6.2
Spin-Orbit and Electrostatic Interactions
. 143
x
Contents
5.7
Intermediate
Coupling and Other Types of Coupling
. 144
5.7.1
Transformations Between LS and
j j
Coupling Schemes
. 144
5.7.2
Intermediate Coupling
. 147
5.7.3
jl Coupling
. 152
5.7.4
Experimental Date
. 153
5.7.5
Other Types of Coupling
. 154
Chapter
6
Hyperfine Structure of Spectral Lines
6.1
Nuclear Magnetic
Dipole
and Electric Quadrupole Moments
. 156
6.1.1
Magnetic Moments
. 156
6.1.2
Quadrupole Moments
. 157
6.2
Hyperfine Splitting
. 159
6.2.1
General Character of the Splitting
. 159
6.2.2
Calculation of the Hyperfine Splitting Constant A
. 162
6.2.3
Calculation of the Hyperfine Splitting Constant
В
. 168
6.2.4
Radiative Transitions Between Hyperfine-Structure Components.
170
6.2.5
Isotope Shift of the Atomic Levels
. 170
Chapter
7
The Atom in an External Electric Field
7.1
Quadratic Stark Effect
. 173
7.2
Hydrogenlike Levels. Linear Stark Effect
. 177
7.3
Inhomogeneous Field. Quadrupole Splitting
. 181
7.4
Time-Dependent Field
. 183
7.4.1
Amplitude Modulation
. 183
7.4.2
The Hydrogen Atom in a Rotating Electric Field
. 187
Chapter
8
The Atom in an External Magnetic Field
8.1
Zeeman
Effect
. 189
8.2
Paschen-Back Effect
. 194
8.2.1
Strong Field
. 194
8.2.2
Splitting of Hyperfine Structure Components in a Magnetic Field
198
Chapter
9
Radiative Transitions
9.1
Electromagnetic Radiation
. 200
9.1.1
Quantization of the Radiation Field
_,. 200
9.1.2
Radiative Transition Probabilities
. 201
9.1.3
Correspondence Principle for Spontaneous Emission
. 202
9.1.4 Dipole
Radiation
. 203
Contents xi
9.1.5
Stimulated
Emission and Absorption. 203
9.1.6
Effective Cross Sections of Absorption and Stimulated Emission
205
9.2
Electric
Dipole
Radiation
. 205
9.2.1
Selection Rules, Polarization and Angular Distribution
. 205
9.2.2
Oscillator Strengths and Line Strengths
. 208
9.2.3
LS Coupling Approximation. Relative Intensities of
Multiplet
Components
. 211
9.2.4
One Electron Outside Closed Shell
. 213
9.2.5
Multielectron Configurations. Different Coupling Schemes
. 214
9.2.6
Relative Intensities of
Zeeman
and Stark Components of Lines.
. 215
9.3
Multipole Radiation
. 216
9.3.1
Fields of Electric and Magnetic Multipole Moments
. 216
9.3.2
Intensity of Multipole Radiation
. 220
9.3.3
Selection Rules
. 222
9.3.4
Electric Multipole Radiation
. 223
9.3.5
Magnetic
Dipole
Radiation
. 225
9.3.6
Transitions Between Hyperfine Structure Components. Radio
Emission from Hydrogen
. 227
9.4
Calculation of Radiative Transition Probabilities
. 229
9.4.1
Approximate Methods
. 229
9.4.2
Three Ways of Writing Formulas for Transition Probabilities
. 230
9.4.3
Theorems for Sums of Oscillator Strengths
. 232
9.4.4
Semiempirical Methods of Calculating Oscillator Strengths
. 235
9.4.5
Electric
Dipole
Transition Probabilities in the Coulomb
Approximation
. 236
9.4.6
Intercombination Transitions
. 237
9.5
Continuous Spectrum
. 239
9.5.1
Classification of Processes
.:. 239
9.5.2
Photorecombination and Photoionization: General Expressions
for Effective Cross Sections
. 239
9.5.3 Bremsstrahlung:
General Expressions for Effective Cross
Sections
. 245
9.5.4
Radiation and Absorption Coefficients
. 248
9.5.5
Photorecombination and Photoionization: Hydrogenlike Atoms
. 251
9.5.6
Photorecombination and Photoionization: Nonhydrogenlike
Atoms
. 255
9.5.7 Bremsstrahlung
in a Coulomb Field
. 257
9.6
Formulas for
Q
Factors
. 274
9.6.1
Symmetry and Sum Rules
. 274
9.6.2
LS Coupling. Allowed Transitions
. 275
9.6.3
jl Coupling
. 279
9.7
Tables of Oscillator Strengths and Radiative Transition Probabilities
. 281
9.7.1
Transition Probabilities for the Hydrogen Atom
. 281
9.7.2
Radiative Transition Probabilities in the Bates-Damgaard
Approximation
. 283
x»
Contents
9.7.3
Oscillator Strengths and Probabilities of Some Selected
Transitions
. 284
9.7.4
Effective Cross Sections and Rates of Photorecombination
. 284
Chapter
10
Relativistic Corrections in the Spectroscopy of Multkharged Ions
10.1
Dirac Equation.
Pauli
Equation
. 303
10.1.1
Dirac Equation
. 303
10.1.2
Electron Spin
. 305
10.1.3
Non-Relativistic Approximation.
Pauli
Equation
. 308
10.2
Central Field
. 310
10.2.1
Non-Relativistic Approximation
. 310
10.2.2
Second Approximation with Respect to v/c. Fine Splitting
----- 313
10.2.3
Dirac Equation for a Central Field
. 316
10.2.4
Coulomb Field. Energy Levels, Fine Splitting
. 319
10.2.5
Coulomb Field. Radial Functions
. 322
10.3
Relativistic Corrections
. 325
10.3.1
Calculation of Some Radial Integrals
. 325
10.3.2
Hyperfine Splitting Constant A
. 326
10.3.3
Hyperfine Splitting Constant
В
. 330
10.3.4
Nucleus Finite-Size Correction
. 331
10.3.5'
Radiative Corrections. Lamb Shift
. 333
Chapter
11
Spectra of Multicharged Ions
11.1
Energy Levels
. 339
11.2
Forbidden Transitions
. 341
11.2.1
Н
-like
Ions
. 342
11.2.2
He-like Ions
. 342
11.3
Satellite Structure
. 346
Chapter
12
The Negative Ion H".
12.1
Negative Ion
ВГ.
Electron Affinity
.350
12.2
Photoabsorption
by H~
.
35I
Appendix
.
References
.
3^j
List of Symbols
.
363
Subject Index
.
365 |
any_adam_object | 1 |
any_adam_object_boolean | 1 |
author | Sobel'man, Igor' I. 1927- |
author_GND | (DE-588)104311924 |
author_facet | Sobel'man, Igor' I. 1927- |
author_role | aut |
author_sort | Sobel'man, Igor' I. 1927- |
author_variant | i i s ii iis |
building | Verbundindex |
bvnumber | BV035050545 |
classification_rvk | UM 2200 |
classification_tum | PHY 511f |
ctrlnum | (OCoLC)255211967 (DE-599)GBV511110820 |
discipline | Physik |
discipline_str_mv | Physik |
format | Book |
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id | DE-604.BV035050545 |
illustrated | Illustrated |
index_date | 2024-07-02T21:56:22Z |
indexdate | 2024-07-09T21:21:04Z |
institution | BVB |
isbn | 9781842652039 1842652036 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016719234 |
oclc_num | 255211967 |
open_access_boolean | |
owner | DE-91G DE-BY-TUM DE-703 DE-11 |
owner_facet | DE-91G DE-BY-TUM DE-703 DE-11 |
physical | XII, 366 S. graph. Darst. |
publishDate | 2006 |
publishDateSearch | 2006 |
publishDateSort | 2006 |
publisher | Alpha Science Internat. |
record_format | marc |
spelling | Sobel'man, Igor' I. 1927- Verfasser (DE-588)104311924 aut Theory of atomic spectra Igor I. Sobelman Oxford, UK Alpha Science Internat. 2006 XII, 366 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Strahlungsübergang (DE-588)4183547-5 gnd rswk-swf Atomspektrum (DE-588)4143334-8 gnd rswk-swf Atomspektrum (DE-588)4143334-8 s DE-604 Strahlungsübergang (DE-588)4183547-5 s Früher u.d.T. Sobel'man, Igor' I. Atomic spectra and radiative transitions Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016719234&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Sobel'man, Igor' I. 1927- Theory of atomic spectra Strahlungsübergang (DE-588)4183547-5 gnd Atomspektrum (DE-588)4143334-8 gnd |
subject_GND | (DE-588)4183547-5 (DE-588)4143334-8 |
title | Theory of atomic spectra |
title_auth | Theory of atomic spectra |
title_exact_search | Theory of atomic spectra |
title_exact_search_txtP | Theory of atomic spectra |
title_full | Theory of atomic spectra Igor I. Sobelman |
title_fullStr | Theory of atomic spectra Igor I. Sobelman |
title_full_unstemmed | Theory of atomic spectra Igor I. Sobelman |
title_old | Sobel'man, Igor' I. Atomic spectra and radiative transitions |
title_short | Theory of atomic spectra |
title_sort | theory of atomic spectra |
topic | Strahlungsübergang (DE-588)4183547-5 gnd Atomspektrum (DE-588)4143334-8 gnd |
topic_facet | Strahlungsübergang Atomspektrum |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016719234&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT sobelmanigori theoryofatomicspectra |