Preface to the Third Edition |
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xv | |
Preface to the Second Edition |
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xix | |
Preface to the First Edition |
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xxiii | |
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1 | (6) |
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An Overview of Protein Crystallography |
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7 | (24) |
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7 | (3) |
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Obtaining an image of a microscopic object |
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8 | (1) |
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Obtaining images of molecules |
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9 | (1) |
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A thumbnail sketch of protein crystallography |
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9 | (1) |
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10 | (3) |
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10 | (1) |
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11 | (2) |
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13 | (2) |
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15 | (4) |
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15 | (1) |
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Arrays of simple objects: Real and reciprocal lattices |
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16 | (1) |
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Intensities of reflections |
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16 | (1) |
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Arrays of complex objects |
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17 | (1) |
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18 | (1) |
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Coordinate systems in crystallography |
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19 | (1) |
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The mathematics of crystallography: A brief description |
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20 | (11) |
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Wave equations: Periodic functions |
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21 | (2) |
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Complicated periodic functions: Fourier series and sums |
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23 | (1) |
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Structure factors: Wave descriptions of X-ray reflections |
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24 | (2) |
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26 | (1) |
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Electron density from structure factors |
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27 | (1) |
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Electron density from measured reflections |
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28 | (2) |
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30 | (1) |
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31 | (18) |
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Properties of protein crystals |
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31 | (4) |
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31 | (1) |
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Size, structural integrity, and mosaicity |
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31 | (2) |
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Multiple crystalline forms |
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33 | (1) |
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34 | (1) |
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Evidence that solution and crystal structures are similar |
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35 | (2) |
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Proteins retain their function in the crystal |
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35 | (1) |
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X-ray structures are compatible with other structural evidence |
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36 | (1) |
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37 | (1) |
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37 | (9) |
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37 | (1) |
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Growing crystals: Basic procedure |
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38 | (2) |
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Growing derivative crystals |
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40 | (1) |
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Finding optimal conditions for crystal growth |
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41 | (5) |
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46 | (1) |
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Mounting crystals for data collection |
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46 | (3) |
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Collecting Diffraction Data |
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49 | (42) |
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49 | (1) |
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Geometric principles of diffraction |
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49 | (24) |
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The generalized unit cell |
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49 | (1) |
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Indices of the atomic planes in a crystal |
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50 | (5) |
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Conditions that produce diffraction: Bragg's law |
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55 | (2) |
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57 | (3) |
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Bragg's law in reciprocal space |
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60 | (4) |
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Number of measurable reflections |
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64 | (1) |
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65 | (1) |
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65 | (8) |
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Collecting X-ray diffraction data |
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73 | (16) |
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73 | (1) |
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73 | (4) |
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77 | (3) |
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80 | (5) |
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Scaling and postrefinement of intensity data |
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85 | (1) |
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Determining unit-cell dimensions |
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86 | (2) |
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Symmetry and the strategy of collecting data |
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88 | (1) |
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89 | (2) |
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From Diffraction Data to Electron Density |
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91 | (18) |
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91 | (1) |
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Fourier sums and the Fourier transform |
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92 | (6) |
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92 | (2) |
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94 | (2) |
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The Fourier transform: General features |
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96 | (1) |
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Fourier this and Fourier that: Review |
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97 | (1) |
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Fourier mathematics and diffraction |
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98 | (3) |
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Structure factor as a Fourier sum |
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98 | (1) |
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Electron density as a Fourier sum |
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99 | (1) |
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Computing electron density from data |
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100 | (1) |
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101 | (1) |
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Meaning of the Fourier equations |
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101 | (6) |
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Reflections as terms in a Fourier sum: Eq. (5.18) |
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101 | (3) |
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Computing structure factors from a model: Eq. (5.15) and Eq. (5.16) |
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104 | (1) |
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Systematic absences in the diffraction pattern: Eq. (5.15) |
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105 | (2) |
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Summary: From data to density |
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107 | (2) |
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109 | (36) |
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109 | (3) |
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Two-dimensional representation of structure factors |
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112 | (5) |
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Complex numbers in two dimensions |
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112 | (1) |
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Structure factors as complex vectors |
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112 | (3) |
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Electron density as a function of intensities and phases |
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115 | (2) |
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117 | (11) |
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Preparing heavy-atom derivatives |
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117 | (2) |
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Obtaining phases from heavy-atom data |
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119 | (5) |
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Locating heavy atoms in the unit cell |
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124 | (4) |
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128 | (8) |
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128 | (1) |
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Measurable effects of anomalous scattering |
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128 | (2) |
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Extracting phases from anomalous scattering data |
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130 | (2) |
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132 | (1) |
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Multiwavelength anomalous diffraction phasing |
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133 | (2) |
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Anomalous scattering and the hand problem |
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135 | (1) |
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Direct phasing: Application of methods from small-molecule crystallography |
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135 | (1) |
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Molecular replacement: Related proteins as phasing models |
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136 | (7) |
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136 | (1) |
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Isomorphous phasing models |
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137 | (2) |
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Nonisomorphous phasing models |
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139 | (1) |
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Separate searches for orientation and location |
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139 | (2) |
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141 | (2) |
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Summary of molecular replacement |
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143 | (1) |
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Iterative improvement of phases (preview of Chapter 7) |
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143 | (2) |
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Obtaining and Judging the Molecular Model |
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145 | (34) |
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145 | (1) |
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Iterative improvement of maps and models---overview |
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146 | (3) |
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149 | (4) |
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Resources for the first map |
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149 | (1) |
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Displaying and examining the map |
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150 | (1) |
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151 | (2) |
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The Model becomes molecular |
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153 | (6) |
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New phases from the molecular model |
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153 | (1) |
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Minimizing bias from the model |
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154 | (2) |
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156 | (3) |
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159 | (9) |
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159 | (1) |
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Crystallographic refinement by least squares |
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160 | (1) |
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Additional refinement parameters |
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161 | (1) |
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Local minima and radius of convergence |
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162 | (1) |
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Molecular energy and motion in refinement |
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163 | (1) |
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Bayesian methods: Ensembles of models |
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164 | (4) |
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Convergence to a final model |
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168 | (5) |
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Producing the final map and model |
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168 | (3) |
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171 | (2) |
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173 | (6) |
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A User's Guide to Crystallographic Models |
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179 | (32) |
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179 | (2) |
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Judging the quality and usefulness of the refined model |
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181 | (11) |
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181 | (2) |
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Resolution and precision of atomic positions |
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183 | (2) |
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185 | (2) |
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Other limitations of crystallographic models |
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187 | (2) |
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Online validation tools: Do it yourself! |
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189 | (3) |
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192 | (1) |
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Reading a crystallography paper |
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192 | (17) |
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192 | (1) |
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Annotated excerpts of the preliminary (8/91) paper |
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193 | (5) |
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Annotated excerpts from the full structure-determination (4/92) paper |
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198 | (11) |
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209 | (2) |
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Other Diffraction Methods |
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211 | (26) |
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211 | (1) |
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211 | (8) |
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Diffraction by amorphous materials (scattering) |
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219 | (3) |
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222 | (5) |
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Electron diffraction and cryo-electron microscopy |
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227 | (4) |
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Laue diffraction and time-resolved crystallography |
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231 | (4) |
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235 | (2) |
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Other Kinds of Macromolecular Models |
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237 | (32) |
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237 | (1) |
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238 | (21) |
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238 | (1) |
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239 | (12) |
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251 | (1) |
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252 | (5) |
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257 | (1) |
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257 | (2) |
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259 | (8) |
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259 | (1) |
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260 | (3) |
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Databases of homology models |
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263 | (2) |
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265 | (2) |
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267 | (2) |
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Tools for Studying Macromolecules |
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269 | (24) |
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269 | (1) |
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Computer models of molecules |
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269 | (6) |
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Two-dimensional images from coordinates |
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269 | (1) |
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Into three dimensions: Basic modeling operations |
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270 | (2) |
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Three-dimensional display and perception |
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272 | (1) |
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Types of graphical models |
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273 | (2) |
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Touring a molecular modeling program |
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275 | (13) |
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Importing and exporting coordinate files |
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276 | (2) |
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Loading and saving models |
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278 | (1) |
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278 | (2) |
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Editing and labeling the display |
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280 | (1) |
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281 | (1) |
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281 | (1) |
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Exploring structural change |
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282 | (1) |
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Exploring the molecular surface |
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282 | (4) |
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Exploring intermolecular interactions: Multiple models |
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286 | (1) |
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Displaying crystal packing |
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287 | (1) |
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Building models from scratch |
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287 | (1) |
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Scripts and macros: Automating routine structure analysis |
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287 | (1) |
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Other tools for studying structure |
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288 | (3) |
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Tools for structure analysis and validation |
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288 | (2) |
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Tools for modeling protein action |
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290 | (1) |
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291 | (2) |
Appendix Viewing Stereo Images |
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293 | (2) |
Index |
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295 | |