Preface |
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xix | |
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1 The dielectric permeability |
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1 | (43) |
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1 | (9) |
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1.1.1 Electric field and magnetic induction |
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1 | (1) |
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1.1.2 Electric polarization of the medium |
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2 | (1) |
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1.1.3 The dependence of the dielectric permeability on direction and frequency |
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3 | (1) |
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1.1.4 The physical meaning of the electric susceptibility |
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4 | (2) |
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1.1.5 Magnetic polarization of the medium |
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6 | (1) |
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1.1.6 The magnetic susceptibility |
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7 | (1) |
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1.1.7 Dielectrics and metals |
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7 | (1) |
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1.1.8 Free charges and polarization charges |
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8 | (1) |
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1.1.9 The field equations |
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9 | (1) |
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1.2 Waves in a dielectric medium |
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10 | (5) |
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10 | (1) |
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11 | (1) |
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1.2.3 The optical constant or refractive index |
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12 | (1) |
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1.2.4 Energy dissipation of a grain in a variable field |
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13 | (2) |
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1.3 The harmonic oscillator |
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15 | (7) |
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15 | (1) |
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16 | (1) |
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1.3.3 The general solution to the oscillator equation |
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17 | (1) |
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1.3.4 Dissipation of energy in a forced oscillation |
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18 | (1) |
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1.3.5 Dissipation of energy in a free oscillation |
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19 | (1) |
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1.3.6 The plasma frequency |
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20 | (1) |
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1.3.7 Dispersion relation of the dielectric permeability |
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20 | (2) |
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1.4 The harmonic oscillator and light |
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22 | (10) |
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1.4.1 Attenuation and refraction of light |
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23 | (1) |
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1.4.2 Retarded potentials of a moving charge |
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24 | (2) |
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1.4.3 Emission of an harmonic oscillator |
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26 | (1) |
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1.4.4 Radiation of higher order |
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27 | (1) |
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28 | (1) |
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1.4.6 The cross section of an harmonic oscillator |
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29 | (1) |
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1.4.7 The oscillator strength |
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30 | (1) |
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1.4.8 The natural linewidth |
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31 | (1) |
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1.5 Waves in a conducting medium |
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32 | (6) |
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1.5.1 The dielectric permeability of a conductor |
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33 | (1) |
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1.5.2 Conductivity and the Drude profile |
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34 | (2) |
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1.5.3 Electromagnetic waves in a plasma with a magnetic field |
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36 | (1) |
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1.5.4 Group velocity of electromagnetic waves in a plasma |
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37 | (1) |
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1.6 Polarization through orientation |
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38 | (6) |
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1.6.1 Polarization in a constant field |
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38 | (1) |
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1.6.2 Polarization in a time-variable field |
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39 | (1) |
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1.6.3 Relaxation after switching off the field |
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40 | (1) |
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1.6.4 The dielectric permeability in Debye relaxation |
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41 | (3) |
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2 How to evaluate grain cross sections |
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44 | (36) |
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2.1 Defining cross sections |
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44 | (3) |
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2.1.1 Cross section for scattering, absorption and extinction |
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44 | (2) |
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2.1.2 Cross section for radiation pressure |
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46 | (1) |
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2.1.3 Efficiencies, mass and volume coefficients |
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47 | (1) |
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47 | (4) |
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2.2.1 The intensity of forward scattered light |
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47 | (3) |
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2.2.2 The refractive index of a dusty medium |
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50 | (1) |
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2.3 Mie theory for a sphere |
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51 | (6) |
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2.3.1 The generating function |
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52 | (1) |
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2.3.2 Separation of variables |
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52 | (2) |
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2.3.3 Series expansion of waves |
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54 | (1) |
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2.3.4 Expansion coefficients |
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54 | (2) |
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2.3.5 Scattered and absorbed power |
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56 | (1) |
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2.3.6 Absorption and scattering efficiencies |
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57 | (1) |
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2.4 Polarization and scattering |
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57 | (7) |
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2.4.1 The amplitude scattering matrix |
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57 | (1) |
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2.4.2 Angle-dependence of scattering |
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58 | (2) |
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2.4.3 The polarization ellipse |
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60 | (1) |
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61 | (1) |
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2.4.5 Stokes parameters of scattered light for a sphere |
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62 | (2) |
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2.5 The Kramers-Kronig relations |
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64 | (7) |
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2.5.1 Mathematical formulation of the relations |
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64 | (2) |
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2.5.2 The electric susceptibility and causality |
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66 | (1) |
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2.5.3 The Kramers-Kronig relation for the dielectric permeability |
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67 | (1) |
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2.5.4 Extension to metals |
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67 | (1) |
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2.5.5 Dispersion of the magnetic susceptibility |
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68 | (1) |
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2.5.6 Three corollaries of the KK relation |
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69 | (2) |
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71 | (9) |
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2.6.1 Effective medium theories |
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72 | (1) |
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2.6.2 Garnett's mixing rule |
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73 | (1) |
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2.6.3 The mixing rule of Bruggeman |
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74 | (1) |
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2.6.4 Composition of grains in protostellar cores |
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74 | (2) |
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2.6.5 How size, ice and porosity change the absorption coefficient |
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76 | (4) |
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3 Very small and very big particles |
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80 | (39) |
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80 | (7) |
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3.1.1 When is a particle in the Rayleigh limit? |
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80 | (1) |
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3.1.2 Efficiencies of small spheres from Mie theory |
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81 | (1) |
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3.1.3 A dielectric sphere in a constant electric field |
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82 | (2) |
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3.1.4 Scattering and absorption in the electrostatic approximation |
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84 | (1) |
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3.1.5 Polarization and angle-dependent scattering |
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85 | (1) |
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3.1.6 Small-size effects beyond Mie theory |
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86 | (1) |
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3.2 A small metallic sphere in a magnetic field |
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87 | (3) |
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3.2.1 Slowly varying field |
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87 | (2) |
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3.2.2 The magnetic polarizability |
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89 | (1) |
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3.2.3 The penetration depth |
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89 | (1) |
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3.2.4 Limiting values of the magnetic polarizability |
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90 | (1) |
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90 | (9) |
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3.3.1 Elliptical coordinates |
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91 | (1) |
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3.3.2 An ellipsoid in a constant electric field |
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92 | (1) |
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3.3.3 Cross section and shape factor |
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93 | (2) |
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3.3.4 Randomly oriented ellipsoids |
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95 | (1) |
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3.3.5 Pancakes and cigars |
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95 | (2) |
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3.3.6 Rotation about the axis of greatest moment of inertia |
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97 | (2) |
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3.4 The fields inside a dielectric particle |
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99 | (4) |
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3.4.1 Internal field and depolarization field |
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99 | (1) |
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3.4.2 Depolarization field and the distribution of surface charges |
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100 | (1) |
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3.4.3 The local field at an atom |
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101 | (1) |
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3.4.4 The Clausius-Mossotti relation |
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101 | (2) |
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103 | (16) |
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103 | (1) |
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3.5.2 Reflection and transmission at a plane surface |
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104 | (2) |
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106 | (3) |
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3.5.4 Fresnel zones and a check on Huygens' principle |
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109 | (2) |
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3.5.5 The reciprocity theorem |
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111 | (1) |
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3.5.6 Diffraction by a circular hole or a sphere |
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111 | (2) |
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3.5.7 Diffraction behind a half-plane |
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113 | (3) |
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3.5.8 Particles of small refractive index |
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116 | (1) |
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117 | (2) |
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4 Case studies of Mie calculus |
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119 | (26) |
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4.1 Efficiencies of bare spheres |
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119 | (8) |
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119 | (1) |
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120 | (2) |
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122 | (1) |
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123 | (1) |
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4.1.5 Efficiency versus cross section and volume coefficient |
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123 | (3) |
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4.1.6 The atmosphere of the Earth |
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126 | (1) |
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4.2 Scattering by bare spheres |
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127 | (5) |
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4.2.1 The scattering diagram |
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127 | (1) |
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4.2.2 The polarization of scattered light |
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128 | (3) |
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4.2.3 The intensity of scattered light in a reflection nebula |
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131 | (1) |
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132 | (1) |
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4.4 Surface modes in small grains |
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133 | (3) |
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4.5 Efficiencies of idealized dielectrics and metals |
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136 | (9) |
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4.5.1 Dielectric sphere consisting of identical harmonic oscillators |
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136 | (2) |
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4.5.2 Dielectric sphere with Debye relaxation |
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138 | (1) |
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4.5.3 Magnetic and electric dipole absorption of small metal spheres |
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139 | (2) |
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4.5.4 Efficiencies for Drude profiles |
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141 | (1) |
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4.5.5 Elongated metallic particles |
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142 | (3) |
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145 | (30) |
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145 | (6) |
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5.1.1 The probability of an arbitrary energy distribution |
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145 | (1) |
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5.1.2 The distribution of maximum probability |
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146 | (1) |
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5.1.3 Partition function and population of energy cells |
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147 | (2) |
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5.1.4 The mean energy of harmonic oscillators |
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149 | (1) |
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5.1.5 The Max well ian velocity distribution |
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149 | (2) |
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151 | (9) |
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5.2.1 The unit cell h3 of the phase space |
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151 | (1) |
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5.2.2 Bosons and fermions |
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152 | (2) |
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154 | (2) |
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5.2.4 Bose statistics for photons |
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156 | (1) |
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157 | (1) |
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5.2.6 Ionization equilibrium and the Saha equation |
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158 | (2) |
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160 | (10) |
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5.3.1 The ergodic hypothesis |
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160 | (2) |
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5.3.2 Definition of entropy and temperature |
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162 | (1) |
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5.3.3 The canonical distribution |
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163 | (1) |
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5.3.4 Thermodynamic relations for a gas |
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164 | (2) |
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5.3.5 Equilibrium conditions of the state functions |
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166 | (2) |
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5.3.6 Specific heat of a gas |
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168 | (1) |
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5.3.7 The work done by magnetization |
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168 | (1) |
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5.3.8 Susceptibility and specific heat of magnetic substances |
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169 | (1) |
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170 | (5) |
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5.4.1 The Planck function |
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170 | (1) |
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5.4.2 Low- and high-frequency limit |
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171 | (1) |
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5.4.3 Wien's displacement law and the Stefan-Boltzmann law |
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172 | (1) |
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5.4.4 The Planck function and harmonic oscillators |
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173 | (2) |
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6 The radiative transition probability |
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175 | (26) |
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6.1 A charged particle in an electromagnetic field |
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175 | (6) |
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6.1.1 The classical Hamiltonian |
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175 | (1) |
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6.1.2 The Hamiltonian of an electron in an electromagnetic field |
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176 | (1) |
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6.1.3 The Hamilton operator in quantum mechanics |
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177 | (2) |
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6.1.4 The dipole moment in quantum mechanics |
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179 | (1) |
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6.1.5 The quantized harmonic oscillator |
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179 | (2) |
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181 | (2) |
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6.2.1 The perturbation energy |
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181 | (1) |
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6.2.2 The transition probability |
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181 | (1) |
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6.2.3 Transition probability for a time-variable perturbation |
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182 | (1) |
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6.3 The Einstein coefficients A and B |
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183 | (9) |
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6.3.1 Induced and spontaneous transitions |
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183 | (3) |
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6.3.2 Selection rules and polarization rules |
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186 | (1) |
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6.3.3 Quantization of the electromagnetic field |
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186 | (2) |
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6.3.4 Quantum-mechanical derivation of A and B |
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188 | (4) |
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6.4 Potential wells and tunneling |
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192 | (9) |
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6.4.1 Wavefunction of a particle in a constant potential |
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192 | (1) |
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6.4.2 Potential walls and Fermi energy |
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192 | (2) |
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6.4.3 Rectangular potential barriers |
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194 | (4) |
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6.4.4 The double potential well |
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198 | (3) |
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7 Structure and composition of dust |
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201 | (38) |
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201 | (6) |
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7.1.1 Translational symmetry |
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201 | (2) |
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203 | (4) |
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7.1.3 The reciprocal lattice |
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207 | (1) |
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207 | (7) |
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208 | (1) |
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209 | (2) |
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211 | (2) |
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7.2.4 van der Waals forces and hydrogen bridges |
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213 | (1) |
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7.3 Reddening by interstellar grains |
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214 | (10) |
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214 | (2) |
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7.3.2 The interstellar extinction curve |
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216 | (3) |
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219 | (1) |
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220 | (2) |
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7.3.5 The mass absorption coefficient |
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222 | (2) |
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7.4 Carbonaceous grains and silicate grains |
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224 | (10) |
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7.4.1 Origin of the two major dust constituents |
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224 | (1) |
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7.4.2 The bonding in carbon |
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225 | (2) |
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227 | (5) |
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232 | (1) |
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7.4.5 A standard set of optical constants |
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233 | (1) |
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7.5 Grain sizes and optical constants |
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234 | (5) |
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7.5.1 The size distribution |
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234 | (2) |
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7.5.2 Collisional fragmentation |
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236 | (3) |
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239 | (36) |
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239 | (4) |
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8.1.1 The emissivity of dust |
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239 | (1) |
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8.1.2 Thermal emission of grains |
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240 | (1) |
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8.1.3 Absorption and emission in thermal equilibrium |
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241 | (1) |
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8.1.4 Equipartition of energy |
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242 | (1) |
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8.2 The temperature of big grains |
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243 | (8) |
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8.2.1 The energy equation |
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243 | (1) |
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8.2.2 Approximate absorption efficiency at infrared wavelengths |
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243 | (2) |
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8.2.3 Temperature estimates |
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245 | (2) |
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8.2.4 Relation between grain size and grain temperature |
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247 | (1) |
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8.2.5 Temperature of dust grains near a star |
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248 | (1) |
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8.2.6 Dust temperatures from observations |
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249 | (2) |
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8.3 The emission spectrum of big grains |
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251 | (3) |
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8.3.1 Constant temperature and low optical depth |
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251 | (2) |
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8.3.2 Constant temperature and arbitrary optical depth |
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253 | (1) |
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8.4 Calorific properties of solids |
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254 | (8) |
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254 | (2) |
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8.4.2 Internal energy of a grain |
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256 | (1) |
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8.4.3 Standing waves in a crystal |
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257 | (1) |
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8.4.4 The density of vibrational modes in a crystal |
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258 | (1) |
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259 | (2) |
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8.4.6 Two-dimensional lattices |
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261 | (1) |
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8.5 Temperature fluctuations of very small grains |
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262 | (6) |
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8.5.1 The probability density P(T) |
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263 | (1) |
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8.5.2 The transition matrix |
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263 | (2) |
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8.5.3 Practical considerations |
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265 | (1) |
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8.5.4 The stochastic time evolution of grain temperature |
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266 | (2) |
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8.6 The emission spectrum of very small grains |
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268 | (7) |
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8.6.1 Small and moderate fluctuations |
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268 | (2) |
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8.6.2 Strong fluctuations |
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270 | (2) |
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8.6.3 Temperature fluctuations and flux ratios |
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272 | (3) |
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9 Dust and its environment |
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275 | (44) |
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275 | (10) |
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9.1.1 Gas accretion on grains |
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275 | (1) |
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9.1.2 Physical adsorption and chemisorption |
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276 | (3) |
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9.1.3 The sticking probability |
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279 | (2) |
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9.1.4 Thermal hopping, evaporation and reactions with activation barrier |
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281 | (2) |
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9.1.5 Tunneling between surface sites |
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283 | (1) |
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284 | (1) |
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285 | (4) |
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9.2.1 Charge equilibrium in the absence of a UV radiation field |
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285 | (1) |
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9.2.2 The photoelectric effect |
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286 | (3) |
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289 | (9) |
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289 | (1) |
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9.3.2 The drag on a grain subjected to a constant outer force |
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289 | (3) |
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9.3.3 Brownian motion of a grain |
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292 | (1) |
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293 | (2) |
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9.3.5 Laminar and turbulent friction |
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295 | (1) |
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9.3.6 A falling rain drop |
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296 | (1) |
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9.3.7 The Poynting-Robertson effect |
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297 | (1) |
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298 | (3) |
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9.4.1 Mass balance in the Milky Way |
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298 | (1) |
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9.4.2 Destruction processes |
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299 | (2) |
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301 | (18) |
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9.5.1 Evaporation temperature of dust |
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301 | (3) |
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9.5.2 Vapor pressure of small grains |
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304 | (1) |
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9.5.3 Critical saturation |
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305 | (2) |
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9.5.4 Equations for time-dependent homogeneous nucleation |
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307 | (1) |
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9.5.5 Equilibrium distribution and steady-state nucleation |
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308 | (3) |
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9.5.6 Solutions to time-dependent homogeneous nucleation |
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311 | (5) |
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9.5.7 Similarity relations |
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316 | (3) |
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319 | (28) |
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10.1 Efficiency of infinite cylinders |
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319 | (8) |
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10.1.1 Normal incidence and picket fence alignment |
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319 | (3) |
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322 | (1) |
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322 | (3) |
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10.1.4 Absorption efficiency as a function of wavelength |
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325 | (2) |
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10.2 Linear polarization through extinction |
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327 | (12) |
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10.2.1 Effective optical depth and degree of polarization p(λ) |
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327 | (2) |
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10.2.2 The Serkowski curve |
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329 | (2) |
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10.2.3 Polarization p(λ) of infinite cylinders |
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331 | (3) |
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10.2.4 Polarization p(λ) of ellipsoids in the Rayleigh limit |
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334 | (3) |
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10.2.5 Polarization p(λ) of spheroids at optical wavelengths |
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337 | (1) |
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10.2.6 Polarization and reddening |
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338 | (1) |
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339 | (3) |
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10.3.1 The wavelength dependence of polarized emission for cylinders |
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340 | (1) |
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10.3.2 Infrared emission of spheroids |
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340 | (1) |
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10.3.3 Polarized emission versus polarized extinction |
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341 | (1) |
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10.4 Circular polarization |
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342 | (5) |
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10.4.1 The phase shift induced by grains |
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343 | (1) |
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10.4.2 The wavelength dependence of circular polarization |
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344 | (3) |
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347 | (30) |
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347 | (8) |
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11.1.1 Euler's equations for a rotating body |
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347 | (2) |
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349 | (2) |
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11.1.3 Atomic magnet in a magnetic field |
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351 | (1) |
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11.1.4 Rotational Brownian motion |
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351 | (2) |
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11.1.5 Suprathermal rotation |
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353 | (2) |
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11.2 Magnetic dissipation |
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355 | (9) |
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355 | (1) |
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355 | (2) |
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357 | (1) |
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11.2.4 The magnetization of iron above and below the Curie point |
|
|
358 | (1) |
|
11.2.5 Paramagnetic dissipation: spin-spin and spin-lattice relaxation |
|
|
359 | (1) |
|
11.2.6 The magnetic susceptibility for spin-lattice relaxation |
|
|
360 | (2) |
|
11.2.7 The magnetic susceptibility in spin-spin relaxation |
|
|
362 | (2) |
|
|
364 | (9) |
|
11.3.1 A rotating dipole in a magnetic field |
|
|
365 | (2) |
|
11.3.2 Timescales for alignment and disorder |
|
|
367 | (1) |
|
11.3.3 Super-paramagnetism |
|
|
368 | (1) |
|
11.3.4 Ferromagnetic relaxation |
|
|
369 | (2) |
|
11.3.5 Alignment of angular momentum with the axis of greatest inertia |
|
|
371 | (1) |
|
11.3.6 Mechanical and magnetic damping |
|
|
372 | (1) |
|
11.4 Non-magnetic alignment |
|
|
373 | (4) |
|
|
373 | (2) |
|
11.4.2 Anisotropic illumination |
|
|
375 | (2) |
|
12 PAHs and spectral features of dust |
|
|
377 | (19) |
|
12.1 Thermodynamics of PAHs |
|
|
377 | (7) |
|
|
377 | (1) |
|
12.1.2 Microcanonic emission of PAHs |
|
|
378 | (1) |
|
12.1.3 The vibrational modes of anthracene |
|
|
379 | (2) |
|
12.1.4 Microcanonic versus thermal level population |
|
|
381 | (1) |
|
12.1.5 Does an ensemble of PAHs have a temperature? |
|
|
382 | (2) |
|
|
384 | (4) |
|
12.2.1 Photoexcitation of PAHs |
|
|
384 | (1) |
|
12.2.2 Cutoff wavelength for electronic excitation |
|
|
385 | (1) |
|
12.2.3 Photo-destruction and ionization |
|
|
386 | (1) |
|
12.2.4 Cross sections and line profiles of PAHs |
|
|
387 | (1) |
|
|
388 | (2) |
|
12.3.1 The silicate features and the band at 3.4 fim |
|
|
389 | (1) |
|
|
389 | (1) |
|
12.4 An overall dust model |
|
|
390 | (6) |
|
12.4.1 The three dust components |
|
|
392 | (3) |
|
12.4.2 Extinction coefficient in the diffuse medium |
|
|
395 | (1) |
|
12.4.3 Extinction coefficient in protostellar cores |
|
|
395 | (1) |
|
|
396 | (29) |
|
13.1 Basic transfer relations |
|
|
396 | (6) |
|
13.1.1 Radiative intensity and flux |
|
|
396 | (2) |
|
13.1.2 The transfer equation and its formal solution |
|
|
398 | (2) |
|
13.1.3 The brightness temperature |
|
|
400 | (1) |
|
13.1.4 The main-beam-brightness temperature of a telescope |
|
|
401 | (1) |
|
|
402 | (7) |
|
13.2.1 Moment equations for spheres |
|
|
403 | (1) |
|
13.2.2 Frequency averages |
|
|
404 | (1) |
|
13.2.3 Differential equations for the intensity |
|
|
405 | (2) |
|
13.2.4 Integral equations for the intensity |
|
|
407 | (1) |
|
|
407 | (2) |
|
|
409 | (6) |
|
13.3.1 Radiative transfer in a plane parallel layer |
|
|
409 | (5) |
|
13.3.2 The grazing angle in an inflated disk |
|
|
414 | (1) |
|
|
415 | (3) |
|
13.4.1 Hot spots in a spherical stellar cluster |
|
|
415 | (1) |
|
13.4.2 Low and high luminosity stars |
|
|
416 | (2) |
|
|
418 | (7) |
|
13.5.1 Absorption coefficient and absorption profile |
|
|
418 | (1) |
|
13.5.2 The excitation temperature of a line |
|
|
419 | (1) |
|
13.5.3 Radiative transfer in lines |
|
|
420 | (5) |
|
14 Diffuse matter in the Milky Way |
|
|
425 | (36) |
|
14.1 Overview of the Milky Way |
|
|
425 | (2) |
|
|
425 | (1) |
|
14.1.2 The relevance of dust |
|
|
426 | (1) |
|
|
427 | (11) |
|
|
428 | (3) |
|
14.2.2 Population of levels in CO |
|
|
431 | (4) |
|
14.2.3 Molecular hydrogen |
|
|
435 | (1) |
|
14.2.4 Formation of molecular hydrogen on dust surfaces |
|
|
435 | (3) |
|
14.3 Clouds of atomic hydrogen |
|
|
438 | (10) |
|
14.3.1 General properties of the diffuse gas |
|
|
438 | (1) |
|
14.3.2 The 21 cm line of atomic hydrogen |
|
|
439 | (1) |
|
14.3.3 How the hyperfine levels of atomic hydrogen are excited |
|
|
440 | (3) |
|
14.3.4 Gas density and temperature from the 21cm line |
|
|
443 | (1) |
|
14.3.5 The deuterium hyperfine line |
|
|
444 | (2) |
|
14.3.6 Electron density and magnetic field in the diffuse gas |
|
|
446 | (2) |
|
|
448 | (9) |
|
14.4.1 Ionization and recombination |
|
|
448 | (2) |
|
14.4.2 Dust-free HII regions |
|
|
450 | (3) |
|
|
453 | (2) |
|
|
455 | (1) |
|
14.4.5 Recombination lines |
|
|
456 | (1) |
|
14.5 Mass estimates of interstellar clouds |
|
|
457 | (4) |
|
14.5.1 From optically thin CO lines |
|
|
457 | (1) |
|
14.5.2 From the CO luminosity |
|
|
458 | (1) |
|
14.5.3 From dust emission |
|
|
459 | (2) |
|
15 Stars and their formation |
|
|
461 | (44) |
|
15.1 Stars on and beyond the main sequence |
|
|
461 | (10) |
|
15.1.1 Nuclear burning and the creation of elements |
|
|
461 | (2) |
|
15.1.2 The binding energy of an atomic nucleus |
|
|
463 | (2) |
|
|
465 | (2) |
|
|
467 | (2) |
|
15.1.5 Lifetime and luminosity of stars |
|
|
469 | (1) |
|
15.1.6 The initial mass function |
|
|
470 | (1) |
|
15.2 Clouds near gravitational equilibrium |
|
|
471 | (15) |
|
|
471 | (3) |
|
15.2.2 Isothermal cloud in pressure equilibrium |
|
|
474 | (1) |
|
15.2.3 Structure and stability of Ebert-Bonnor spheres |
|
|
475 | (4) |
|
15.2.4 Free-fall of a gas ball |
|
|
479 | (1) |
|
15.2.5 The critical mass for gravitational instability |
|
|
480 | (2) |
|
15.2.6 Implications of the Jeans criterion |
|
|
482 | (2) |
|
15.2.7 Magnetic fields and ambipolar diffusion |
|
|
484 | (2) |
|
15.3 Gravitational collapse |
|
|
486 | (8) |
|
15.3.1 The presolar nebula |
|
|
486 | (1) |
|
15.3.2 Hydrodynamic collapse simulations |
|
|
487 | (4) |
|
15.3.3 Similarity solutions of collapse |
|
|
491 | (3) |
|
|
494 | (11) |
|
15.4.1 Viscous laminar flows |
|
|
494 | (3) |
|
15.4.2 Dynamical equations of the thin accretion disk |
|
|
497 | (1) |
|
|
498 | (1) |
|
15.4.4 Why a star accretes from a disk |
|
|
499 | (2) |
|
15.4.5 The stationary accretion disk |
|
|
501 | (1) |
|
|
501 | (2) |
|
15.4.7 Disk heating by viscosity |
|
|
503 | (2) |
|
16 Emission from young stars |
|
|
505 | (1) |
|
16.1 The earliest stages of star formation |
|
|
505 | (3) |
|
|
505 | (1) |
|
16.1.2 Isothermal gravitationally-bound clumps |
|
|
506 | (2) |
|
|
508 | (10) |
|
16.2.1 Tbe density structure of a protostar |
|
|
508 | (5) |
|
16.2.2 Dust emission from a solar-type protostar |
|
|
513 | (2) |
|
16.2.3 Kinematics of protostellar collapse |
|
|
515 | (3) |
|
|
518 | (6) |
|
16.3.1 A flat blackbody disk |
|
|
518 | (3) |
|
16.3.2 Aflatnon-blackbodydisk |
|
|
521 | (1) |
|
16.3.3 Radiative transfer in an inflated disk |
|
|
522 | (2) |
|
|
524 | (2) |
|
16.5 Cold and warm dust in galaxies |
|
|
526 | (5) |
|
|
531 | (1) |
|
16.6.1 Repetitive bursts of star formation |
|
|
531 | (4) |
|
16.6.2 Dust emission from starburst nuclei |
|
|
535 | (4) |
Appendix A Mathematical formulae |
|
539 | (6) |
Appendix B List of symbols |
|
545 | (4) |
References |
|
549 | (3) |
Index |
|
552 | |