PREFACE |
|
ix | |
1 AN OVERVIEW OF MACROMOLECULAR CRYSTALLOGRAPHY |
|
1 | |
|
What Do We Mean by the Structure of Something? |
|
|
1 | |
|
|
2 | |
|
A Lens and Optical Diffraction Patterns |
|
|
6 | |
|
How X-Ray Diffraction Works |
|
|
11 | |
|
|
15 | |
|
|
16 | |
2 CRYSTALLIZATION OF MACROMOLECULES |
|
19 | |
|
Crystals Grow from Supersaturated Solutions |
|
|
20 | |
|
|
22 | |
|
Proteins Present Special Problems for Crystallographers |
|
|
23 | |
|
Properties of Macromolecular Crystals |
|
|
23 | |
|
|
24 | |
|
Screening and Optimization |
|
|
28 | |
|
Creating the Supersaturated State |
|
|
29 | |
|
|
35 | |
|
Factors Influencing Protein Crystal Growth |
|
|
39 | |
|
Some Useful Considerations |
|
|
40 | |
|
|
42 | |
|
The Importance of Protein Purity and Homogeneity |
|
|
43 | |
|
|
44 | |
|
|
45 | |
|
Automated Crystallization and Robotics |
|
|
47 | |
|
|
49 | |
3 THE NATURE OF CRYSTALS: SYMMETRY AND THE UNIT CELL |
|
50 | |
|
|
50 | |
|
|
51 | |
|
|
53 | |
|
|
57 | |
|
Symmetry and Equivalent Positions |
|
|
60 | |
|
Why So Few Kinds of Unit Cells |
|
|
63 | |
|
Primitive and Centered Lattices |
|
|
64 | |
|
Planes, Miller Indexes, and Convolutions |
|
|
66 | |
|
|
71 | |
|
Crystals as Waves of Electrons in Three-Dimensional Space |
|
|
73 | |
4 WAVES AND THEIR PROPERTIES |
|
77 | |
|
|
77 | |
|
Waves as Vectors and Complex Numbers |
|
|
79 | |
|
|
81 | |
|
|
85 | |
|
Some Useful Wave Relationships |
|
|
85 | |
|
The Fourier Synthesis, Planes, and the Electron Density |
|
|
88 | |
5 DIFFRACTION FROM POINTS, PLANES, MOLECULES, AND CRYSTALS |
|
93 | |
|
Diffraction Pattern of an Arbitrary Array of Points in Space |
|
|
94 | |
|
Diffraction from Equally Spaced Points Along a Line |
|
|
98 | |
|
Diffraction from a Plane, Families of Planes, and Lattices of Points |
|
|
100 | |
|
Continuous and Discontinuous Transforms |
|
|
103 | |
|
Diffraction from a Crystal |
|
|
107 | |
|
The Structure Factor for a Crystal |
|
|
110 | |
|
The Structure Factor as a Product of Transforms |
|
|
114 | |
|
|
116 | |
|
|
117 | |
|
|
118 | |
|
Anomalous Dispersion Effects |
|
|
119 | |
|
The Electron Density Equation |
|
|
120 | |
|
|
123 | |
6 INTERPRETATION OF DIFFRACTION PATTERNS |
|
125 | |
|
Diffraction Patterns, Planes, and Reciprocal Space |
|
|
125 | |
|
|
126 | |
|
Crystal Symmetry and the Symmetry of the Diffraction Pattern |
|
|
130 | |
|
Symmetry and Systematic Absences |
|
|
131 | |
|
Analysis of Diffraction Patterns |
|
|
134 | |
|
Symmetry in Diffraction Space |
|
|
141 | |
|
More Thoughts on Space Groups |
|
|
145 | |
|
Other Information in Diffraction Patterns |
|
|
147 | |
7 DATA COLLECTION |
|
150 | |
|
|
150 | |
|
X-ray Sources and the Production of X Rays |
|
|
151 | |
|
Detectors and the Recording of Diffraction Intensities |
|
|
155 | |
|
Data Management Procedures |
|
|
159 | |
|
Crystal Mounting and Handling |
|
|
159 | |
|
|
161 | |
|
Scaling of X-ray Diffraction Data |
|
|
164 | |
|
Real Space and Diffraction Space |
|
|
167 | |
8 SOLVING THE PHASE PROBLEM |
|
170 | |
|
|
171 | |
|
|
171 | |
|
The R Factor and Crystallographic Refinement |
|
|
173 | |
|
|
174 | |
|
Formulation of Isomorphous Replacement in Protein Crystallography |
|
|
179 | |
|
Isomorphous Replacement in Practice |
|
|
181 | |
|
|
183 | |
|
Phase Extension Using Noncrystallographic Symmetry |
|
|
187 | |
|
Anomalous Scattering Approaches |
|
|
188 | |
|
|
191 | |
9 INTERPRETING PATTERSON MAPS |
|
193 | |
|
|
194 | |
|
Creating a Patterson Map From a Crystal |
|
|
197 | |
|
Patterson Maps as Molecular Covolutions |
|
|
200 | |
|
Deconvoluting Patterson Maps |
|
|
200 | |
|
Harker Planes or Sections |
|
|
201 | |
|
Using the Patterson Map for Isomorphous Replacement |
|
|
207 | |
10 ELECTRON DENSITY, REFINEMENT, AND DIFFERENCE FOURIER MAPS |
|
211 | |
|
Resolution of Electron Density Maps |
|
|
213 | |
|
Interpretation of Electron Density Maps |
|
|
216 | |
|
|
217 | |
|
|
220 | |
|
Reciprocal Space Refinement: Least Squares |
|
|
221 | |
|
Real Space Refinement: Difference Fourier Syntheses |
|
|
224 | |
|
Additional Considerations in Refinement |
|
|
226 | |
|
|
228 | |
|
Some General Observations |
|
|
229 | |
|
Criteria for Judging a Structure Determination |
|
|
229 | |
|
Biochemical Experiments Using X-ray Crystallography |
|
|
232 | |
|
The Difference Fourier Method |
|
|
233 | |
BIBLIOGRAPHY |
|
238 | |
INDEX |
|
243 | |