| 1 Introduction |
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1 | (8) |
| 2 Definitions |
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9 | (20) |
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2.1 Local Thermodynamic Equilibrium (LTE) |
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9 | (1) |
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2.2 The Equation of Radiative Transfer |
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10 | (7) |
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2.3 The Planck or Emission Mean Opacity |
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17 | (3) |
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2.4 The Rosseland Mean Opacity |
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20 | (2) |
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22 | (1) |
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2.6 Differences Between the Various Mean Opacities |
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22 | (5) |
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27 | (2) |
| 3 Atomic and Molecular Structure |
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29 | (52) |
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3.1 Structure of Atoms and Ions |
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30 | (22) |
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3.1.1 The Hartree-Fock Model |
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31 | (3) |
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3.1.2 Approximations to the Hartree-Fock Model |
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34 | (3) |
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3.1.3 The Thomas-Fermi Model |
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37 | (1) |
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3.1.4 The Hartree-Fock-Slater Method |
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38 | (1) |
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3.1.5 Parametric Potentials |
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38 | (2) |
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3.1.6 The Hartree-Plus-Statistical-Exchange Method |
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40 | (1) |
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3.1.7 The Multi-configuration Approximation |
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40 | (1) |
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3.1.8 The Close-Coupling Approximation |
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41 | (2) |
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3.1.9 Isoelectronic Sequences |
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43 | (1) |
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3.1.10 The Screening Constant Method |
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43 | (6) |
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3.1.11 The Quantum Defect Method |
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49 | (2) |
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3.1.12 Multiple Scattering Xα Method |
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51 | (1) |
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3.2 Structure of Molecules and Molecular Ions |
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52 | (26) |
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53 | (9) |
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Internuclear Potential Function and Vibrational Motion |
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55 | (4) |
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Electronic States and Angular Momentum Coupling |
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59 | (3) |
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3.2.2 Polyatomic Molecules |
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62 | (21) |
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62 | (2) |
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Rotation and Rotation-Vibration Interaction |
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64 | (4) |
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64 | (1) |
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65 | (1) |
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Ab Initio Calculations of Rotation-Vibration Wave Functions and Energies |
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66 | (2) |
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68 | (16) |
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Ab Initio Calculation of Wave Functions and Potential Surfaces |
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69 | (9) |
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78 | (3) |
| 4 Equation of State (EOS) |
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81 | (42) |
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83 | (20) |
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4.1.1 The Model of the Mean Ion with Unfolded Term Splitting (MIUTS) |
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84 | (15) |
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The Screening Constant Method |
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85 | (6) |
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89 | (2) |
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91 | (2) |
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Zink's Parameterized T-F Model |
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93 | (2) |
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The Thomas-Fermi Shell Model |
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95 | (2) |
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The Relativistic Hartree-Fock-Slater Model |
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97 | (1) |
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98 | (1) |
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Unfolding the Mean Ion Model |
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98 | (1) |
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4.1.2 The Method of Detailed Configuration Accounting with Explicit Term Splitting (DCAETS) |
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99 | (4) |
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103 | (17) |
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4.2.1 Homogeneous Chemical Equilibrium in the Gas Phase |
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104 | (10) |
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4.2.2 Disequilibrium Abundances |
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114 | (1) |
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4.2.3 Heterogeneous Chemical Equilibrium Between Gas and Condensed Phases |
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115 | (5) |
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120 | (3) |
| 5 Radiative Cross Sections |
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123 | (140) |
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123 | (10) |
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5.1.1 Classical Description |
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124 | (7) |
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5.1.2 Quantum Mechanical Description |
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131 | (2) |
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5.2 Absorption in the Single-Electron Dipole Approximation |
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133 | (75) |
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5.2.1 Atomic Cross Sections |
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133 | (19) |
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133 | (12) |
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145 | (4) |
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149 | (3) |
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5.2.2 Molecular Cross Sections |
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152 | (56) |
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Physics of Molecular Transitions |
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152 | (26) |
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153 | (2) |
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Vibration-Rotation Band Strengths |
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155 | (1) |
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155 | (1) |
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158 | (2) |
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160 | (1) |
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160 | (1) |
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163 | (9) |
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172 | (2) |
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174 | (4) |
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Methods for Determining Molecular Band Strengths, Oscillator Strengths, and Cross Sections |
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178 | (35) |
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178 | (3) |
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Theoretical Calculations of Molecular Transition Probabilities |
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181 | (1) |
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H-F, LCAO-MO, and MCA Methods |
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181 | (1) |
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193 | (1) |
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201 | (7) |
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208 | (19) |
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5.3.1 Atomic Auger Transitions |
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209 | (3) |
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5.3.2 Molecular Autoionization and Predissociation |
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212 | (1) |
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5.3.3 Collective Response of the Atom or Molecule as a Whole |
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213 | (12) |
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The Polarization Propagator Method |
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218 | (7) |
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5.3.4 Interaction of Radiation with the Plasma |
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225 | (2) |
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227 | (8) |
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5.4.1 Nonrelativistic Scattering |
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227 | (2) |
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229 | (1) |
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5.4.3 Molecular Scattering |
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230 | (3) |
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5.4.4 Calculation of the Scattering Cross Section from the Absorption Cross Section |
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233 | (2) |
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5.5 Relativity, Multipole, and Other Effects |
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235 | (9) |
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5.5.1 Bound-Free Processes |
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235 | (6) |
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5.5.2 Bound-Bound Processes |
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241 | (1) |
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5.5.3 Free-Free Processes |
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242 | (2) |
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242 | (1) |
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Electron-Electron Interaction |
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243 | (1) |
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5.6 Extinction by Grains and Droplets |
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244 | (16) |
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5.6.1 Basic Relationships |
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245 | (1) |
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5.6.2 Spherical Particles |
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246 | (8) |
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246 | (6) |
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Homogeneously Layered Core-Mantle Particles |
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252 | (2) |
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5.6.3 Nonspherical Particles |
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254 | (5) |
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Symmetric Nonspherical Particles |
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254 | (1) |
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Randomly Shaped Particles |
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255 | (4) |
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5.6.4 Refractive Indices and Particle Size Distributions |
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259 | (1) |
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260 | (3) |
| 6 Continuum Transitions |
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263 | (24) |
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6.1 Bound-Free Absorption |
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263 | (5) |
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263 | (2) |
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265 | (3) |
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268 | (9) |
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6.2.1 Free-Free Absorption by Ions |
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268 | (5) |
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6.2.2 Free-Free Absorption by Neutrals |
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273 | (4) |
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6.3 Compton Scattering by Free Electrons |
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277 | (6) |
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6.4 Extinction by Grains and Droplets |
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283 | (2) |
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285 | (2) |
| 7 Bound-Bound (Line) Transitions |
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287 | (82) |
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7.1 Line Transitions of Thermally Excited States |
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287 | (4) |
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7.1.1 Atomic Line Transitions |
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287 | (1) |
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7.1.2 Molecular Vibration-Rotation Line Transitions |
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288 | (3) |
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7.1.3 Vibronic Transitions |
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291 | (1) |
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291 | (30) |
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294 | (2) |
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7.2.2 Broadening by Electron Impacts |
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296 | (13) |
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296 | (13) |
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Nonhydrogenic Neutral Atoms |
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296 | (3) |
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299 | (9) |
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308 | (1) |
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309 | (1) |
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7.2.3 Broadening by Ion Impacts |
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309 | (2) |
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The Quasi-Static Approximation |
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309 | (2) |
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7.2.4 Broadening by Neutral Impacts |
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311 | (9) |
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311 | (1) |
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312 | (1) |
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Pressure Broadening of Vibration-Rotation Lines |
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312 | (11) |
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Infrared and Microwave 'Continuum' Absorption |
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318 | (2) |
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7.2.5 The Total Line Shape for Absorption Lines |
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320 | (1) |
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7.2.6 Auto-Ionization, Auger Transition, Dielectronic Recombination |
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320 | (1) |
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7.3 Line Splitting and Line Smearing |
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321 | (42) |
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7.3.1 Multiplet Splitting |
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321 | (2) |
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7.3.2 Statistical Configuration Splitting |
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323 | (11) |
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Unresolved Transition Arrays and Supertransition Arrays |
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328 | (6) |
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7.3.3 Molecular Band Models |
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334 | (22) |
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Just-Overlapping Lines Models and Smeared-Line Models |
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334 | (7) |
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334 | (6) |
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340 | (1) |
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341 | (7) |
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341 | (1) |
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Regular Models for Collision-Broadened Lines (Elsasser Model) |
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341 | (1) |
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Regular Models for Doppler-Broadened Lines |
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342 | (1) |
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Regular Models for Voigt Profile Lines |
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342 | (1) |
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342 | (1) |
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344 | (1) |
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Random Mixed Lorentz - Doppler Models |
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345 | (1) |
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345 | (3) |
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Other Methods for Molecular Bands |
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348 | (8) |
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Time-Correlation Function Method for Absorption |
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348 | (2) |
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Time-Correlation Method for Vibronic Spectral Functions |
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350 | (4) |
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354 | (2) |
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7.3.4 Opacity Distribution Function (ODF) and Statistical Opacity Sampling (SOS) Techniques |
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356 | (7) |
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The Opacity Distribution Function (ODF) |
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357 | (122) |
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Statistical Opacity Sampling (SOS) Techniques |
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361 | (2) |
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363 | (1) |
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363 | (2) |
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365 | (4) |
| 8 Collision-Induced Absorption (CIA) |
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369 | (14) |
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8.1 Pure Rotational and Translational (i.e, ΔJ = 0) Transitions (Far Infrared) |
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371 | (4) |
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8.1.1 Collision-Induced Absorption in a One-Component Gas |
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373 | (2) |
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375 | (1) |
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8.2 Transitions in the Fundamental Vibrational Band (Near Infrared) |
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375 | (5) |
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8.2.1 Diatomic Gas Pairs (e.g., H2-H2) |
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375 | (4) |
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8.2.2 Rare Gas Atom - Nonpolar Diatomic Pairs |
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379 | (1) |
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8.3 Collision-Induced Absorption iiiMixtures of Nonpolar Gases |
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380 | (1) |
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381 | (2) |
| 9 Electron Conduction and Electron Opacity |
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383 | (22) |
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9.1 Conduction by Nondegenerate Nonrelativistic Electrons |
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384 | (2) |
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9.2 Conduction by Degenerate Nonrelativistic Electrons |
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386 | (6) |
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9.2.1 Conduction in a Partially Degenerate Magnetoplasma |
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392 | (1) |
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9.3 Conduction by Degenerate Relativistic Electrons |
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392 | (12) |
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404 | (1) |
| 10 Equations of State and Opacities for Mixtures |
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405 | (6) |
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10.1 The Opacity for Atomic Mixtures |
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405 | (3) |
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408 | (2) |
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410 | (1) |
| 11 Limits, Approximations, Scaling, and Interpolations |
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411 | (10) |
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411 | (3) |
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414 | (4) |
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414 | (2) |
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11.2.2 Rectangular 'Box' Approximation Molecular Band Model |
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416 | (2) |
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418 | (1) |
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11.4 Interpolation of Opacities |
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418 | (1) |
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419 | (2) |
| 12 Uncertainties in Models, Methods, and Calculations |
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421 | (4) |
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421 | (3) |
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424 | (1) |
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12.3 Mathematical Procedures |
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424 | (1) |
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424 | (1) |
| 13 Comparisons with Experiments |
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425 | (18) |
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13.1 Model and Code Comparisons |
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425 | (2) |
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425 | (1) |
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13.1.2 Astrophysical Mixtures |
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426 | (1) |
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13.2 Experimental Situation |
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427 | (15) |
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427 | (7) |
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13.2.2 High-Temperature Plasmas |
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434 | (6) |
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13.2.3 Collision-Induced Absorption |
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440 | (2) |
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442 | (1) |
| 14 Special Cases |
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443 | (14) |
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443 | (1) |
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14.2 Opacity of Light Element Mixtures Simulating a Heavier Element Opacity |
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444 | (1) |
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444 | (11) |
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14.3.1 Two-Temperature Opacity |
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445 | (1) |
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14.3.2 General Non-LTE Opacity |
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446 | (9) |
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455 | (2) |
| Appendix A: List of Symbols |
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457 | (12) |
| Appendix B: Glossary and Abbreviations |
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469 | (10) |
| Appendix C: Some Mathematical Functions |
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479 | (16) |
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479 | (6) |
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C.1.1 Bessel Functions of the First, Second, and Third Kind |
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479 | (3) |
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Bessel Functions of the First Kind |
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479 | (1) |
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Bessel Functions of the Second Kind (Also Called Weber or Neumann Functions) |
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480 | (1) |
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Bessel Functions of the Third Kind (Also Called Hankel Functions) |
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481 | (1) |
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C.1.2 Modified Bessel Functions (Also Called Basset Functions) of the First and Second Kind |
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482 | (2) |
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Modified Bessel Functions of the First Kind |
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482 | (1) |
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Modified Bessel Functions of the Second Kind |
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483 | (1) |
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C.1.3 Spherical Bessel Functions |
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484 | (1) |
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Spherical Bessel Function of the First Kind |
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484 | (1) |
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Spherical Bessel Function of the Second Kind |
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484 | (1) |
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Spherical Bessel Functions of the Third Kind (Spherical Hankel Functions) |
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485 | (1) |
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C.2 Binomial Function (Hypergeometric Distribution) |
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485 | (1) |
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C.2.1 Binomial Distribution |
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486 | (1) |
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486 | (2) |
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C.3.1 Non-relativistic Fermi Integrals |
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486 | (2) |
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487 | (1) |
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C.3.2 Relativistic Fermi Integrals |
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488 | (1) |
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488 | (1) |
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C.5 Generalized Laguerre Polynomials |
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489 | (1) |
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489 | (3) |
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C.6.1 UnassociatedsLegendre Polynomials |
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489 | (1) |
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C.6.2 Associated Legendre Polynomials |
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490 | (2) |
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C.7 Coulomb Corrections to Pressure and Entropy of an Ideal Gas of Ions |
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492 | (1) |
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492 | (3) |
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C.8.1 Scalar Spherical Harmonics |
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492 | (1) |
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C.8.2 Vector Spherical Harmonics |
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493 | (2) |
| Appendix D: Units, Conversion Factors, and Fundamental Physical Constants for Opacities |
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495 | (6) |
| Appendix E: Some Relevant Websites |
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501 | (2) |
| References |
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503 | (60) |
| Subject Index |
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563 | |