| Fundamentals of Ionizing Radiation Dosimetry |
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xxxix | |
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1 Background and Essentials |
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1 | (28) |
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1 | (1) |
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1.2 Types and Sources of Ionizing Radiation |
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1 | (3) |
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1.3 Consequences of the Random Nature of Radiation |
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4 | (2) |
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1.4 Interaction Cross Sections |
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6 | (3) |
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1.5 Kinematic Relativistic Expressions |
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9 | (2) |
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11 | (11) |
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1.6.1 Radiative and Non-radiative Transitions |
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13 | (3) |
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1.6.2 Transition Probabilities and Fluorescence and Auger Yields |
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16 | (6) |
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1.6.3 Emission Cross Sections |
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22 | (1) |
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1.7 Evaluation of Uncertainties |
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22 | (6) |
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1.7.1 Accuracy and Precision - Error and Uncertainty |
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22 | (2) |
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1.7.2 Type A Standard Uncertainty |
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24 | (1) |
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1.7.3 Type B Standard Uncertainty |
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25 | (1) |
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1.7.4 Combined and Expanded Uncertainty |
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26 | (1) |
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1.7.5 Law of Propagation of Uncertainty |
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26 | (2) |
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28 | (1) |
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2 Charged-Particle Interactions with Matter |
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29 | (114) |
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29 | (2) |
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2.2 Types of Charged-Particle Interactions |
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31 | (5) |
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2.2.1 Elastic Interactions |
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32 | (1) |
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2.2.2 Inelastic 'Soft' Collisions |
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33 | (1) |
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2.2.3 Inelastic 'Hard' Collisions |
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34 | (1) |
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2.2.4 Inelastic Radiative Interactions |
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35 | (1) |
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36 | (19) |
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2.3.1 Single Elastic Scattering (Rutherford) |
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36 | (2) |
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38 | (3) |
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2.3.3 Overview of Other Single Elastic Scattering Theories |
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41 | (2) |
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2.3.4 Multiple Elastic Scattering |
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43 | (11) |
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2.3.4.1 The Gaussian Approach: Multiple Small-Angle Scattering Theory |
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44 | (3) |
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47 | (4) |
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2.3.4.3 Goudsmit - Saunderson Theory |
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51 | (3) |
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54 | (1) |
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2.4 Inelastic Scattering and Energy Loss |
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55 | (40) |
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2.4.1 Single Inelastic Scattering |
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56 | (5) |
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2.4.1.1 The GOS, the OOS, and Dielectric Response Functions |
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58 | (3) |
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2.4.2 Multiple Inelastic Scattering: Electronic Stopping Power |
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61 | (5) |
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66 | (2) |
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2.4.4 The I-Value (Mean Excitation Energy) |
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68 | (3) |
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71 | (2) |
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2.4.6 Density Effect Correction (Polarization) |
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73 | (4) |
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2.4.7 Important Features of the Stopping Power Formula |
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77 | (7) |
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2.4.7.1 Dependence on the Stopping Medium |
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79 | (2) |
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2.4.7.2 Dependence on Particle Energy |
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81 | (1) |
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2.4.7.3 Dependence on Particle Charge |
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81 | (1) |
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2.4.7.4 Dependence on Particle Mass |
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82 | (1) |
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2.4.7.5 Relativistic Scaling Considerations |
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82 | (1) |
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82 | (2) |
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2.4.8 Electronic Stopping Power for Electrons and Positrons |
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84 | (2) |
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2.4.9 Accuracy of Stopping-Power Calculations |
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86 | (2) |
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88 | (2) |
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90 | (1) |
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2.4.12 Restricted Electronic Stopping Power |
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91 | (3) |
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2.4.13 Energy Loss Straggling |
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94 | (1) |
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2.5 Radiative Energy Loss: Bremsstrahlung |
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95 | (8) |
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2.5.1 Radiative Stopping Power |
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98 | (3) |
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101 | (1) |
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102 | (1) |
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103 | (1) |
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2.6.1 The Bragg Additive Rule for Compounds |
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103 | (1) |
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2.7 Range of Charged Particles |
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104 | (2) |
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2.7.1 Continuous-Slowing-Down Range and Range Straggling |
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105 | (1) |
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106 | (1) |
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2.8 Number and Energy Distributions of Secondary Particles |
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106 | (6) |
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2.8.1 Number and Energy of Knock-On Electrons |
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108 | (1) |
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2.8.2 Number and Energy of Bremsstrahlung Photons |
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109 | (3) |
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2.9 Nuclear Stopping Power and Interactions by Heavy Charged Particles |
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112 | (2) |
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2.10 The W-Value (Mean Energy to Create an Ion Pair) |
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114 | (5) |
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2.10.1 Calculation of W from the Energy Balance |
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115 | (1) |
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2.10.2 Direct Calculation from Cross Sections |
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116 | (1) |
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2.10.3 Calculation from the Slowing-Down Spectrum |
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117 | (1) |
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2.10.4 Concluding Remarks |
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118 | (1) |
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2.11 Addendum - Derivation of Expressions for the Elastic and Inelastic Scattering of Heavy Charged Particles |
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119 | (20) |
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2.11.1 Quantum Mechanics Formalism for Elastic Scattering |
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120 | (6) |
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2.11.1.1 Partial-Wave Analysis (PWA) |
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123 | (3) |
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2.11.2 Quantum Mechanics Formalism for Inelastic Scattering (Bethe Theory) |
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126 | (8) |
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131 | (3) |
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2.11.3 Classical Treatment of Elastic and Inelastic Scattering |
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134 | (11) |
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2.11.3.1 Elastic Scattering |
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135 | (1) |
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2.11.3.2 Inelastic Scattering |
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135 | (1) |
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136 | (3) |
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139 | (4) |
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3 Uncharged-Particle Interactions with Matter |
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143 | (72) |
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143 | (1) |
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3.2 Photon Interactions with Matter |
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143 | (2) |
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145 | (9) |
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146 | (1) |
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147 | (7) |
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154 | (3) |
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3.5 Rayleigh Scattering (Coherent Scattering) |
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157 | (4) |
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3.6 Compton Scattering (Incoherent Scattering) |
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161 | (17) |
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162 | (4) |
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166 | (6) |
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3.6.3 Binding Effects and Doppler Broadening |
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172 | (6) |
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3.7 Pair Production and Triplet Production |
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178 | (10) |
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179 | (2) |
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181 | (7) |
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181 | (6) |
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3.7.2.2 Triplet Production |
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187 | (1) |
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3.7.2.3 Total Pair-Production Cross Section |
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188 | (1) |
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3.8 Positron Annihilation |
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188 | (3) |
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189 | (2) |
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191 | (1) |
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3.9 Photonuclear Interactions |
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191 | (2) |
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192 | (1) |
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3.10 Photon Interaction Coefficients |
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193 | (11) |
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3.10.1 Photon Attenuation Coefficient |
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194 | (1) |
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3.10.2 Photon Energy-Transfer Coefficient |
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195 | (7) |
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3.10.2.1 Photoelectric Effect |
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196 | (2) |
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3.10.2.2 Compton Scattering |
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198 | (2) |
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3.10.2.3 Pair and Triplet Production |
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200 | (2) |
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3.10.3 Photon Energy-Absorption Coefficient |
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202 | (1) |
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3.10.4 Uncertainties in Photon Interaction Data |
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203 | (1) |
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3.11 Neutron Interactions |
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204 | (7) |
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205 | (1) |
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3.11.2 Elastic Scattering |
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206 | (3) |
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3.11.3 Inelastic Scattering |
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209 | (1) |
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210 | (1) |
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3.11.5 Nuclear Spallation |
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211 | (1) |
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3.11.6 Neutron-Induced Fission |
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211 | (1) |
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211 | (4) |
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4 Field and Dosimetric Quantities, Radiation Equilibrium - Definitions and Inter-Relations |
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215 | (44) |
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215 | (1) |
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4.2 Stochastic and Non-stochastic Quantities |
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215 | (1) |
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4.3 Radiation Field Quantities and Units |
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216 | (3) |
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4.3.1 Particle Number and Radiant Energy |
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216 | (1) |
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4.3.2 Flux and Energy Flux |
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217 | (1) |
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4.3.3 Fluence and Energy Fluence |
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217 | (1) |
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4.3.4 Fluence Rate and Energy-Fluence Rate |
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218 | (1) |
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218 | (1) |
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4.4 Distributions of Field Quantities |
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219 | (1) |
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4.4.1 Energy Distributions |
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219 | (1) |
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4.4.2 Angular Distributions - Particle Radiance and Energy Radiance |
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220 | (1) |
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4.4.3 Distributions in Energy and Angle |
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220 | (1) |
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4.5 Quantities Describing Radiation Interactions |
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220 | (9) |
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221 | (1) |
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4.5.2 Interaction Coefficients for Uncharged Particles |
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222 | (2) |
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4.5.3 Interaction Coefficients for Charged Particles |
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224 | (3) |
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4.5.4 Related Quantities - G(x), Y, and W |
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227 | (2) |
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4.6 Dosimetric Quantities |
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229 | (4) |
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4.6.1 Quantities Related to the Transfer of Energy |
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229 | (3) |
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4.6.2 Quantities Related to the Deposition of Energy |
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232 | (1) |
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4.6.3 Summary of the Definitions of Fundamental Dosimetric Quantities |
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233 | (1) |
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4.7 Relationships Between Field and Dosimetric Quantities |
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233 | (6) |
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234 | (2) |
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236 | (1) |
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237 | (2) |
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4.8 Radiation Equilibrium (RE) |
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239 | (3) |
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4.9 Charged-Particle Equilibrium (CPE) |
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242 | (6) |
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4.9.1 CPE for Distributed Radioactive Sources |
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243 | (1) |
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4.9.2 CPE for External Sources of Uncharged Particles |
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244 | (3) |
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4.9.3 Restricted CPE for External Sources of Charged Particles (RCPE) |
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247 | (1) |
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4.10 Partial Charged-Particle Equilibrium (PCPE) |
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248 | (4) |
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4.10.1 PCPE and Relationships between Dose, Kerma, and Electronic Kerma |
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248 | (4) |
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4.11 Summary of the Inter-Relations between Fluence, Kerma, Cema, and Dose |
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252 | (1) |
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4.12 Addendum - Example Calculations of (Net) Energy Transferred and Imparted |
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252 | (4) |
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4.12.1 Energy Transferred |
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252 | (3) |
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255 | (1) |
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256 | (3) |
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5 Elementary Aspects of the Attenuation of Uncharged Particles |
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259 | (20) |
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259 | (1) |
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5.2 Exponential Attenuation |
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259 | (2) |
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5.2.1 Simple Exponential Attenuation |
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259 | (2) |
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5.2.2 Exponential Attenuation for Plural Modes of Absorption |
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261 | (1) |
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5.3 Narrow-Beam Attenuation |
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261 | (2) |
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5.4 Broad-Beam Attenuation |
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263 | (7) |
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5.4.1 Broad-Beam Geometries |
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266 | (4) |
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270 | (1) |
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271 | (2) |
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5.7 Divergent Beams - The Inverse Square Law |
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273 | (3) |
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276 | (1) |
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277 | (2) |
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6 Macroscopic Aspects of the Transport of Radiation Through Matter |
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279 | (36) |
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279 | (1) |
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6.2 The Radiation Transport Equation Formalism |
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280 | (6) |
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6.2.1 Quantities Entering into the Formalism |
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281 | (1) |
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6.2.2 The Transport Equation |
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282 | (4) |
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6.3 Introduction to Monte Carlo Derived Distributions |
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286 | (1) |
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6.4 Electron Beam Distributions |
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287 | (9) |
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6.4.1 Fluence Distributions |
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287 | (4) |
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291 | (4) |
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6.4.3 Dose Distributions at Interfaces |
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295 | (1) |
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6.5 Protons and Heavier Charged Particle Beam Distributions |
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296 | (5) |
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6.5.1 Fluence Distributions |
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296 | (2) |
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298 | (3) |
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6.6 Photon Beam Distributions |
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301 | (8) |
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6.6.1 Fluence Distributions |
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301 | (3) |
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304 | (3) |
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6.6.3 Dose Distributions at Interfaces |
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307 | (2) |
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6.7 Neutron Beam Distributions |
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309 | (4) |
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6.7.1 Fluence Distributions |
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309 | (2) |
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311 | (2) |
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313 | (2) |
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7 Characterization of Radiation Quality |
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315 | (34) |
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315 | (1) |
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7.2 General Aspects of Radiation Spectra. Mean Energy |
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316 | (2) |
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7.3 Beam Quality Specification for Kilovoltage x-ray Beams |
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318 | (8) |
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319 | (2) |
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7.3.2 x-ray Beam Quality Specification |
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321 | (5) |
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7.4 Megavoltage Photon Beam Quality Specification |
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326 | (5) |
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7.5 High-Energy Electron Beam Quality Specification |
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331 | (4) |
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7.6 Beam Quality Specification of Protons and Heavier Charged Particles |
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335 | (4) |
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7.7 Energy Spectra Determination |
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339 | (7) |
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7.7.1 Approaches for the Calculation of Energy Spectra |
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339 | (3) |
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7.7.2 Analytical Models for Inverse Determination of Spectra |
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342 | (3) |
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7.7.3 Experimental Methods |
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345 | (1) |
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346 | (3) |
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8 The Monte Carlo Simulation of the Transport of Radiation Through Matter |
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349 | (48) |
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349 | (1) |
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8.2 Basics of the Monte Carlo Method (MCM) |
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350 | (9) |
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350 | (1) |
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8.2.2 Probability Distributions and Inverse Sampling |
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351 | (1) |
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8.2.3 Sampling by Rejection |
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352 | (1) |
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8.2.4 Sampling from Common Distributions |
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353 | (3) |
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8.2.5 Numerical Integration Using MCM |
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356 | (1) |
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8.2.6 Uncertainty, Timing, and Efficiency |
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357 | (2) |
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8.2.7 Combining Results from Several Monte Carlo Runs |
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359 | (1) |
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8.3 Simulation of Radiation Transport |
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359 | (20) |
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8.3.1 Generation of Particle Tracks |
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361 | (1) |
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8.3.2 Analogue Monte Carlo Simulation |
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362 | (3) |
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8.3.3 Condensed-History Monte Carlo Simulation |
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365 | (4) |
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369 | (2) |
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8.3.5 Variance Reduction Techniques |
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371 | (8) |
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8.4 Monte Carlo Codes and Systems in the Public Domain |
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379 | (7) |
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8.5 Monte Carlo Applications in Radiation Dosimetry |
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386 | (7) |
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8.5.1 Radiation Sources and Generators |
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387 | (2) |
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8.5.2 Detector Simulation |
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389 | (2) |
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8.5.3 Calculation of Dosimetric Quantities |
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391 | (2) |
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8.6 Other Monte Carlo Developments |
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393 | (1) |
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394 | (3) |
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397 | (46) |
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397 | (2) |
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9.2 Cavities That Are Small Compared to Secondary Electron Ranges |
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399 | (14) |
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9.2.1 The Stopping-Power Ratio Concept |
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400 | (1) |
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9.2.2 Evaluation of the Bragg - Gray Stopping-Power Ratio |
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401 | (3) |
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9.2.3 Spencer - Attix Cavity Theory |
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404 | (5) |
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9.2.4 When Does a Cavity Behave in a Bragg - Gray Manner? |
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409 | (2) |
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9.2.5 Kilovoltage x-ray Qualities |
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411 | (1) |
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412 | (1) |
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9.3 Stopping-Power Ratios |
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413 | (10) |
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9.3.1 Variation of Stopping-Power Ratios with Electron Energy |
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413 | (2) |
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9.3.2 Water/Air Stopping-Power Ratios in Megavoltage Beams |
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415 | (7) |
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9.3.2.1 Differences Between sBGw,air and sSAw,air; Depth Dependence |
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415 | (5) |
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9.3.2.2 Electrons - Dependence on Beam Energy and Depth |
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420 | (1) |
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9.3.2.3 Photons - Dependence on Beam Quality and Depth |
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420 | (2) |
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9.3.3 Stopping-Power Ratios for Non-gaseous Detectors in Charged-Particle Beams |
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422 | (1) |
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9.4 Cavities That Are Large Compared to Electron Ranges |
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423 | (2) |
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9.5 General or Burlin Cavity Theory |
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425 | (4) |
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429 | (2) |
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9.7 Practical Detectors: Deviations from 'Ideal' Cavity Theory Conditions |
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431 | (4) |
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9.7.1 General Philosophy for Bragg - Gray Detectors |
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432 | (2) |
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9.7.2 Corrections for Non-Bragg - Gray Detectors |
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434 | (1) |
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9.8 Summary and Validation of Cavity Theory |
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435 | (5) |
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9.8.1 Key Expressions for fmed,det,Q |
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435 | (1) |
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9.8.2 Photons of 1 MeV in Water - Consistency of Different Cavity Integrals |
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435 | (3) |
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9.8.3 Transition in Detector Behavior from Bragg - Gray toward 'Large Cavity' |
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438 | (2) |
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440 | (3) |
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10 Overview of Radiation Detectors and Measurements |
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443 | (30) |
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443 | (1) |
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10.2 Detector Response and Calibration Coefficient |
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444 | (1) |
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10.3 Absolute, Reference, and Relative Dosimetry |
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445 | (2) |
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10.4 General Characteristics and Desirable Properties of Detectors |
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447 | (13) |
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449 | (1) |
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450 | (2) |
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10.4.2.1 Dose Sensitivity |
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450 | (1) |
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10.4.2.2 Background Readings and Lower Range Limit |
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450 | (1) |
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10.4.2.3 Upper Limit of the Dose Range |
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451 | (1) |
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452 | (1) |
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10.4.3.1 Integrating Dosimeters |
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452 | (1) |
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10.4.3.2 Dose-Rate Meters |
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453 | (1) |
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453 | (1) |
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10.4.4.1 Before Irradiation |
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453 | (1) |
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10.4.4.2 After Irradiation |
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454 | (1) |
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454 | (20) |
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454 | (1) |
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10.4.5.2 Air-Kerma Energy Dependence |
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455 | (2) |
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10.4.5.3 Absorbed-Dose Energy Dependence |
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457 | (1) |
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10.4.5.4 Intrinsic Energy Dependence |
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458 | (1) |
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10.4.5.5 Modification of the Energy Dependence |
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459 | (1) |
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10.5 Brief Description of Various Types of Detectors |
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460 | (7) |
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10.6 Addendum - The Role of the Density Effect and I-Values in the Medium-to-Water Stopping-Power Ratio |
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467 | (4) |
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471 | (2) |
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11 Primary Radiation Standards |
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473 | (24) |
|
|
|
473 | (1) |
|
11.2 Free-Air Ionization Chambers |
|
|
474 | (7) |
|
11.2.1 Parallel-Plate Design and Operating Principle |
|
|
474 | (3) |
|
11.2.2 Correction Factors for Free-Air Chambers |
|
|
477 | (1) |
|
11.2.2.1 Ion Recombination, Polarity, and Field Distortion |
|
|
477 | (1) |
|
11.2.2.2 Photon Scatter and Fluorescence |
|
|
477 | (1) |
|
|
|
477 | (1) |
|
11.2.2.4 Diaphragm Corrections |
|
|
478 | (1) |
|
11.2.3 Alternative Free-Air Chamber Designs |
|
|
478 | (3) |
|
11.2.3.1 Cylindrical Chamber |
|
|
478 | (2) |
|
11.2.3.2 Wide-Angle Free-Air Chamber |
|
|
480 | (1) |
|
11.3 Primary Cavity Ionization Chambers |
|
|
481 | (3) |
|
11.3.1 Operating Principle |
|
|
481 | (2) |
|
11.3.2 Correction Factors for Cavity Chambers |
|
|
483 | (1) |
|
11.3.3 A Cavity Standard for Absorbed Dose |
|
|
483 | (1) |
|
11.4 Absorbed-Dose Calorimeters |
|
|
484 | (4) |
|
|
|
484 | (1) |
|
11.4.2 Graphite Calorimeters |
|
|
485 | (2) |
|
11.4.3 Water Calorimeters |
|
|
487 | (1) |
|
11.5 Fricke Chemical Dosimeter |
|
|
488 | (2) |
|
11.6 International Framework for Traceability in Radiation Dosimetry |
|
|
490 | (1) |
|
11.6.1 The BIPM and Traceability to the SI |
|
|
490 | (1) |
|
11.6.2 The CIPM MRA and the KCDB |
|
|
490 | (1) |
|
11.7 Addendum - Experimental Derivation of Fundamental Dosimetric Quantities |
|
|
491 | (2) |
|
11.7.1 Derivation of Wair/e |
|
|
492 | (1) |
|
11.7.2 Derivation of G(Fe3+) |
|
|
492 | (1) |
|
|
|
493 | (4) |
|
|
|
497 | (36) |
|
|
|
497 | (1) |
|
12.2 Types of Ionization Chamber |
|
|
498 | (6) |
|
|
|
498 | (3) |
|
|
|
499 | (1) |
|
12.2.1.2 Wall Materials and Insulators |
|
|
500 | (1) |
|
12.2.2 Parallel-Plate Chambers |
|
|
501 | (2) |
|
12.2.3 Transmission Monitor Chambers |
|
|
503 | (1) |
|
12.3 Measurement of Ionization Current |
|
|
504 | (9) |
|
12.3.1 General Considerations |
|
|
504 | (2) |
|
|
|
505 | (1) |
|
12.3.1.2 General Precautions |
|
|
505 | (1) |
|
12.3.2 Charge Measurement |
|
|
506 | (2) |
|
12.3.2.1 Measurement Principle |
|
|
506 | (1) |
|
|
|
507 | (1) |
|
12.3.3 Current Measurement and Electrometer Calibration |
|
|
508 | (1) |
|
12.3.4 Correction for Influence Quantities |
|
|
508 | (5) |
|
|
|
509 | (1) |
|
|
|
510 | (1) |
|
|
|
510 | (2) |
|
|
|
512 | (1) |
|
|
|
513 | (11) |
|
12.4.1 The Saturation Curve |
|
|
514 | (1) |
|
12.4.2 Initial Recombination and Diffusion |
|
|
515 | (2) |
|
12.4.2.1 Two-Voltage Method |
|
|
516 | (1) |
|
12.4.3 General (or Volume) Recombination |
|
|
517 | (5) |
|
12.4.3.1 Pulsed Radiation |
|
|
518 | (2) |
|
12.4.3.2 Continuous Radiation |
|
|
520 | (2) |
|
12.4.4 Niatel Method to Separate Initial and General Recombination |
|
|
522 | (1) |
|
12.4.5 Free-Electron Collection |
|
|
523 | (1) |
|
12.5 Addendum - Air Humidity in Dosimetry |
|
|
524 | (7) |
|
12.5.1 Density of Humid Air |
|
|
524 | (3) |
|
12.5.2 Influence of Humidity on Dosimetric Quantities |
|
|
527 | (4) |
|
|
|
531 | (2) |
|
|
|
533 | (44) |
|
|
|
533 | (1) |
|
13.2 Radiation Chemistry in Water |
|
|
533 | (5) |
|
|
|
533 | (2) |
|
|
|
535 | (1) |
|
13.2.3 G(x)-Values and Primary Product Concentrations |
|
|
535 | (3) |
|
13.3 Chemical Heat Defect |
|
|
538 | (1) |
|
13.4 Ferrous Sulfate Dosimeters |
|
|
539 | (8) |
|
13.4.1 Determination of the Fe3+ (Ferric Ion) Concentration |
|
|
541 | (2) |
|
13.4.2 Temperature-Dependent Aspects of Fricke Dosimetry |
|
|
543 | (1) |
|
13.4.3 Composition of the Solution |
|
|
543 | (1) |
|
|
|
544 | (1) |
|
13.4.5 Energy Dependence of the Fricke Dosimeter |
|
|
544 | (3) |
|
13.4.5.1 Absorbed Dose to Water from Absorbed Dose to Fricke |
|
|
545 | (1) |
|
13.4.5.2 Energy Dependence of G(Fe3+) |
|
|
546 | (1) |
|
|
|
547 | (9) |
|
13.5.1 Signal Readout and Dose to Alanine |
|
|
552 | (2) |
|
13.5.2 Temperature Effects, Humidity Effect, and Linearity |
|
|
554 | (1) |
|
13.5.3 Energy Dependence of the Alanine Dosimeter |
|
|
555 | (1) |
|
|
|
556 | (12) |
|
|
|
556 | (6) |
|
13.6.1.1 Chemical Processing |
|
|
557 | (1) |
|
13.6.1.2 Optical Density of Film |
|
|
558 | (2) |
|
13.6.1.3 Processing Conditions |
|
|
560 | (1) |
|
13.6.1.4 Energy Dependence |
|
|
560 | (1) |
|
13.6.1.5 Dose-Rate Dependence |
|
|
561 | (1) |
|
13.6.1.6 Film Packaging and Air Traps |
|
|
561 | (1) |
|
13.6.1.7 Nuclear Track Emulsions |
|
|
562 | (1) |
|
|
|
562 | (6) |
|
|
|
563 | (1) |
|
13.6.2.2 Measurement Principle |
|
|
563 | (1) |
|
13.6.2.3 Radiochromic Film Calibration |
|
|
564 | (2) |
|
13.6.2.4 Energy Dependence |
|
|
566 | (2) |
|
|
|
568 | (6) |
|
|
|
568 | (1) |
|
|
|
569 | (1) |
|
13.7.3 Radiation Chemical Yield of Gels |
|
|
570 | (1) |
|
13.7.4 Gel Readout Techniques |
|
|
571 | (3) |
|
13.7.4.1 Magnetic Resonance Relaxometry |
|
|
571 | (2) |
|
13.7.4.2 X-ray Computed Tomography Imaging |
|
|
573 | (1) |
|
13.7.4.3 Optical Computed Tomography Imaging |
|
|
573 | (1) |
|
|
|
574 | (1) |
|
|
|
574 | (3) |
|
14 Solid-State Detector Dosimetry |
|
|
577 | (54) |
|
|
|
577 | (1) |
|
14.2 Thermoluminescence Dosimetry |
|
|
577 | (14) |
|
14.2.1 The Thermoluminescence Process |
|
|
577 | (5) |
|
|
|
577 | (2) |
|
14.2.1.2 Randall - Wilkins Theory |
|
|
579 | (1) |
|
|
|
580 | (2) |
|
14.2.1.4 Intrinsic Efficiency of TLD Phosphors |
|
|
582 | (1) |
|
|
|
582 | (1) |
|
|
|
583 | (3) |
|
|
|
586 | (1) |
|
14.2.5 Calibration of Thermoluminescent Dosimeters |
|
|
587 | (2) |
|
|
|
587 | (1) |
|
14.2.5.2 TLD Linearity and Dose-Rate Dependence |
|
|
587 | (1) |
|
14.2.5.3 TLD Energy Dependence |
|
|
587 | (2) |
|
14.2.6 Advantages and Disadvantages of TLDs |
|
|
589 | (2) |
|
|
|
589 | (1) |
|
|
|
590 | (1) |
|
14.3 Optically-Stimulated Luminescence Dosimeters |
|
|
591 | (5) |
|
|
|
591 | (2) |
|
|
|
593 | (1) |
|
|
|
594 | (1) |
|
14.3.4 OSLD Energy Dependence |
|
|
595 | (1) |
|
14.4 Scintillation Dosimetry |
|
|
596 | (13) |
|
|
|
596 | (1) |
|
14.4.2 Light Output Efficiency |
|
|
597 | (1) |
|
14.4.3 Scintillator Types |
|
|
598 | (2) |
|
14.4.4 Light Collection and Measurement |
|
|
600 | (6) |
|
14.4.4.1 Scintillator Enclosure |
|
|
600 | (1) |
|
14.4.4.2 Light Pipe or Fiber |
|
|
601 | (3) |
|
14.4.4.3 PM tube or photodetector |
|
|
604 | (1) |
|
14.4.4.4 Cerenkov Radiation |
|
|
605 | (1) |
|
14.4.5 Comparison with Ionization Chambers and Other Detectors |
|
|
606 | (1) |
|
14.4.6 Pulse-Shape Discrimination |
|
|
606 | (1) |
|
14.4.7 beta-Ray Dosimetry |
|
|
607 | (1) |
|
14.4.8 Energy Dependence of Plastic Fiber Scintillation Dosimeters |
|
|
608 | (1) |
|
14.5 Semiconductor Detectors for Dosimetry |
|
|
609 | (19) |
|
|
|
609 | (1) |
|
14.5.2 Basic Operation of Reverse-Biased Semiconductor Junction Detectors |
|
|
610 | (1) |
|
|
|
611 | (4) |
|
14.5.3.1 Diode Construction and Functioning |
|
|
611 | (2) |
|
14.5.3.2 Diode Energy Dependence |
|
|
613 | (2) |
|
14.5.4 Lithium-Drifted and HP(Ge) Detectors for Spectroscopy |
|
|
615 | (2) |
|
14.5.5 Use of Si(Li) as an Ion-Chamber Substitute |
|
|
617 | (1) |
|
14.5.6 Use of Si(Li) Junctions with Reverse Bias as Counting Dose-Rate Meters |
|
|
617 | (1) |
|
14.5.7 Fast-Neutron Dosimetry |
|
|
618 | (1) |
|
|
|
618 | (5) |
|
14.5.8.1 MOSFET Construction and Functioning |
|
|
618 | (4) |
|
14.5.8.2 MOSFET Energy Dependence |
|
|
622 | (1) |
|
|
|
623 | (9) |
|
14.5.9.1 Diamond Detector Construction and Functioning |
|
|
624 | (3) |
|
14.5.9.2 Diamond Detector Energy Dependence |
|
|
627 | (1) |
|
|
|
628 | (3) |
|
15 Reference Dosimetry for External Beam Radiation Therapy |
|
|
631 | (62) |
|
|
|
631 | (1) |
|
15.2 A Generalized Formalism |
|
|
632 | (4) |
|
15.2.1 Detector Calibration Coefficient and Beam Calibration |
|
|
632 | (3) |
|
15.2.2 Cross-Calibration of Ionization Chambers and Detectors |
|
|
635 | (1) |
|
15.3 Practical Implementation of Formalisms |
|
|
636 | (15) |
|
15.3.1 Dosimetry Protocols for Kilovoltage X-ray Beams Based on Air-Kerma Standards |
|
|
638 | (4) |
|
15.3.1.1 Low-Energy kV x-ray Beams |
|
|
640 | (2) |
|
15.3.1.2 Medium-Energy kV x-ray Beams |
|
|
642 | (1) |
|
15.3.2 Dosimetry Protocols for Megavoltage Beams Based on Air-Kerma Standards |
|
|
642 | (4) |
|
15.3.2.1 The ND,air Chamber Coefficient |
|
|
643 | (2) |
|
15.3.2.2 Dose Determination in Electron and Photon Beams |
|
|
645 | (1) |
|
15.3.2.3 Dose Determination in Protons and Heavier Charged-Particle Beams |
|
|
645 | (1) |
|
15.3.3 Dosimetry Codes of Practice Based on Standards of Absorbed Dose to Water |
|
|
646 | (5) |
|
15.3.3.1 The Beam Quality Correction Factor, kQQo |
|
|
647 | (1) |
|
15.3.3.2 The QInt Approach for Reference Qualities Different from 60Co |
|
|
648 | (3) |
|
15.3.4 Relation between NK - ND,air and ND,W Dosimetry Protocols |
|
|
651 | (1) |
|
15.4 Quantities Entering into the Various Formalisms |
|
|
651 | (18) |
|
15.4.1 Quantities for Kilovoltage X-ray Beams |
|
|
652 | (4) |
|
15.4.2 Quantities for High-Energy Beams |
|
|
656 | (15) |
|
15.4.2.1 Stopping-Power Ratios |
|
|
656 | (7) |
|
15.4.2.2 Impact of the I-Value for Water on Reference Dosimetry |
|
|
663 | (1) |
|
15.4.2.3 Perturbation Correction Factors |
|
|
664 | (5) |
|
15.5 Accuracy of Radiation Therapy Reference Dosimetry |
|
|
669 | (2) |
|
15.6 Addendum - Perturbation Correction Factors |
|
|
671 | (18) |
|
15.6.1 Departure of Practical Ionization Chambers from Bragg - Gray Conditions |
|
|
673 | (1) |
|
15.6.2 The Correction for the Chamber Wall, pwall |
|
|
674 | (4) |
|
15.6.3 Correcting for the Finite Size of the Gas Cavity, pdis and pfl |
|
|
678 | (8) |
|
15.6.3.1 Averaging over the Cavity Volume, pdis |
|
|
678 | (5) |
|
15.6.3.2 Fluence Perturbation, pfl |
|
|
683 | (3) |
|
15.6.4 The Correction for the Central Electrode, vcel |
|
|
686 | (1) |
|
15.6.5 Perturbation Factors for kV X-ray Beams |
|
|
687 | (2) |
|
|
|
689 | (4) |
|
16 Dosimetry of Small and Composite Radiotherapy Photon Beams |
|
|
693 | (36) |
|
|
|
693 | (1) |
|
|
|
694 | (2) |
|
16.3 The Physics of Small Megavoltage Photon Beams |
|
|
696 | (5) |
|
16.3.1 Charged-Particle Disequilibrium in Small Beams |
|
|
696 | (2) |
|
16.3.2 Source Size and Small Beams |
|
|
698 | (1) |
|
16.3.3 Spectral Changes in Small Beams |
|
|
699 | (2) |
|
16.4 Dosimetry of Small Beams |
|
|
701 | (13) |
|
|
|
702 | (5) |
|
16.4.2 Beam Quality Specification |
|
|
707 | (2) |
|
16.4.3 Stopping-Power Ratios for Small Beams |
|
|
709 | (2) |
|
16.4.4 Ionization Chamber Perturbation Effects in Small Beams |
|
|
711 | (3) |
|
16.5 Detectors for Small-Beam Dosimetry |
|
|
714 | (3) |
|
16.6 Dosimetry of Composite Fields |
|
|
717 | (6) |
|
|
|
718 | (3) |
|
16.6.2 Absence of CPE in Composite Field Dosimetry |
|
|
721 | (1) |
|
16.6.3 Correction Factors in Composite Field Dosimetry |
|
|
721 | (2) |
|
16.7 Addendum-Measurement in Plastic Phantoms |
|
|
723 | (3) |
|
|
|
726 | (3) |
|
17 Reference Dosimetry for Diagnostic and Interventional Radiology |
|
|
729 | (24) |
|
|
|
729 | (1) |
|
17.2 Specific Quantities and Units |
|
|
730 | (6) |
|
17.2.1 Air Kerma versus Water Kerma |
|
|
733 | (3) |
|
17.3 Formalism for Reference Dosimetry |
|
|
736 | (4) |
|
17.3.1 Differences between the Diagnostic and Radiotherapy Formalisms |
|
|
739 | (1) |
|
17.4 Quantities Entering into the Formalism |
|
|
740 | (11) |
|
17.4.1 Quantities for Monoenergetic Photons |
|
|
743 | (2) |
|
17.4.2 Quantities for Clinical X-ray Spectra |
|
|
745 | (2) |
|
17.4.3 Influence of Phantom Thickness and Material |
|
|
747 | (4) |
|
|
|
751 | (2) |
|
18 Absorbed Dose Determination for Radionuclides |
|
|
753 | (60) |
|
|
|
753 | (2) |
|
18.2 Radioactivity Quantities and Units |
|
|
755 | (8) |
|
|
|
755 | (1) |
|
|
|
755 | (1) |
|
18.2.3 Partial Decay Constants and Activity |
|
|
756 | (1) |
|
18.2.4 Half-Life and Mean Life |
|
|
756 | (1) |
|
18.2.5 Air-Kerma Rate Constant |
|
|
757 | (6) |
|
18.3 Dosimetry of Unsealed Radioactive Sources |
|
|
763 | (25) |
|
18.3.1 The Absorbed-Dose Fraction; Isotropic Dose Kernels |
|
|
764 | (9) |
|
18.3.2 Dosimetry of Radioactive Disintegration Processes |
|
|
773 | (11) |
|
|
|
774 | (2) |
|
|
|
776 | (4) |
|
18.3.2.3 Electron Capture Decay |
|
|
780 | (2) |
|
18.3.2.4 Internal Conversion versus gamma-Ray Emission |
|
|
782 | (2) |
|
18.3.3 Mean Energy Emitted Per Nuclear Transformation |
|
|
784 | (2) |
|
18.3.4 The MIRD Approach for Clinical Radionuclide Dose Estimation |
|
|
786 | (2) |
|
18.4 Dosimetry of Sealed Radioactive Sources |
|
|
788 | (16) |
|
18.4.1 Dosimetry of Point and Linear Sources |
|
|
789 | (6) |
|
18.4.1.1 Point Isotropic Source |
|
|
792 | (1) |
|
|
|
792 | (3) |
|
18.4.2 Specification of Brachytherapy Sources |
|
|
795 | (1) |
|
18.4.3 Air-Kerma Rate Measurement of Brachytherapy Sources |
|
|
796 | (2) |
|
18.4.4 Dosimetry of Brachytherapy Sources. The AAPM TG-43 Approach |
|
|
798 | (4) |
|
18.4.5 Analytical Approximation for the Dose-Rate Constant |
|
|
802 | (2) |
|
18.5 Addendum - The Reciprocity Theorem for Unsealed Radionuclide Dosimetry |
|
|
804 | (5) |
|
|
|
804 | (1) |
|
18.5.2 The Reciprocity Theorem |
|
|
805 | (4) |
|
|
|
809 | (4) |
|
|
|
813 | (28) |
|
|
|
813 | (1) |
|
19.2 Neutron Interactions in Tissue and Tissue-Equivalent Materials |
|
|
814 | (4) |
|
|
|
818 | (3) |
|
19.4 Principles of Mixed-Field Dosimetry |
|
|
821 | (4) |
|
|
|
825 | (8) |
|
19.5.1 Absolute Instruments |
|
|
825 | (1) |
|
19.5.2 Dosimeters with Comparable Neutron and y-Ray Sensitivities |
|
|
826 | (1) |
|
19.5.3 Neutron Dosimeters Insensitive to gamma Rays |
|
|
827 | (6) |
|
19.6 Reference Dosimetry of Neutron Radiotherapy Beams |
|
|
833 | (5) |
|
|
|
838 | (3) |
|
|
|
841 | (40) |
|
A.1 Fundamental and Derived Physical Constants |
|
|
841 | (2) |
|
|
|
843 | (3) |
|
A.3 Data for Compounds and Mixtures |
|
|
846 | (1) |
|
A.4 Atomic Binding Energies for Elements |
|
|
846 | (11) |
|
A.5 Atomic Fluorescent X-ray Mean Energies and Yields for Elements |
|
|
857 | (6) |
|
A.6 Interaction Data for Electrons and Positrons (Electronic Form) |
|
|
863 | (5) |
|
A.6.1 Electron Interaction Cross Sections |
|
|
864 | (1) |
|
A.6.2 Electron Stopping Powers and Related Data |
|
|
865 | (1) |
|
A.6.3 Restricted (delta = 10 keV) and Unrestricted Mass Electronic Stopping Powers |
|
|
866 | (1) |
|
A.6.4 Electron Mass Scattering Powers |
|
|
867 | (1) |
|
A.7 Interaction Data for Protons and Heavier Charged Particles (Electronic Form) |
|
|
868 | (6) |
|
A.7.1 Properties of Heavy Charged Particles |
|
|
868 | (1) |
|
A.7.2 Proton Stopping Powers |
|
|
869 | (2) |
|
A.7.3 Proton Mass Scattering Powers |
|
|
871 | (1) |
|
A.7.4 He - Ar Ion Stopping Powers |
|
|
872 | (2) |
|
A.8 Interaction Data for Photons (Electronic Form) |
|
|
874 | (5) |
|
A.8.1 Compton Klein - Nishina Cross Sections for Free Electrons |
|
|
875 | (2) |
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A.8.2 Photon Interaction Cross Sections |
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|
877 | (1) |
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A.8.3 Photon mu/rho, mutr/rho and muen/rho Coefficients, and g Values |
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|
878 | (1) |
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A.9 Neutron Kerma Coefficients (Electronic Form) |
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|
879 | (2) |
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|
881 | (64) |
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|
945 | |
| Fundamentals of Ionizing Radiation Dosimetry: Solutions to the Exercises |
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|
vii | |
|
1 Background and Essentials |
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1 | (4) |
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2 Charged Particle Interactions |
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|
5 | (18) |
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3 Uncharged Particle Interactions with Matter |
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23 | (12) |
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4 Field and Dosimetric Quantities and Radiation Equilibrium: Definitions and Interrelations |
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35 | (12) |
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5 Elementary Aspects of the Attenuation of Uncharged Particles through Matter |
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47 | (6) |
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6 Macroscopic Aspects of the Transport of Radiation through Matter |
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|
53 | (4) |
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|
54 | (1) |
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55 | (2) |
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7 Characterization of Radiation Quality |
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57 | (12) |
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8 The Monte Carlo Simulation of the Transport of Radiation through Matter |
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|
69 | (16) |
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85 | (8) |
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10 Overview of Radiation Detectors and Measurements |
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93 | (6) |
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11 Primary Radiation Standards |
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99 | (10) |
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109 | (8) |
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117 | (6) |
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14 Solid-State Dosimeters |
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123 | (6) |
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15 Reference Dosimetry for External Beam Radiation Therapy |
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129 | (14) |
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16 Dosimetry of Small and Composite Radiotherapy Photon Beams |
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|
143 | (2) |
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17 Reference Dosimetry for Diagnostic and Interventional Radiology |
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|
145 | (8) |
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18 Absorbed-Dose Determination for Radionuclides |
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|
153 | (16) |
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169 | |