Understanding Single-Crystal X-Ray Crystallography

CRYSTAL LATTICES
The Solid State
The Crystal Lattice
Vectors in Crystallography
Matrices in Crystallography
Coordinate Systems in Crystallography
CRYSTAL SYMMETRY
Symmetry
Symmetry Group Theory
Point Groups
Space Groups
CRYSTAL DIFFRACTION: THEORY
Electromagnetic Radiation
Diffraction
CRYSTAL DIFFRACTION: EXPERIMENT
The Sphere of Reflection
Recording the Diffraction Pattern: Film Methods
Recording the Diffraction Pattern: Counter Methods
Determining the Orientation Matrix and Unit Cell
Refining the Orientation Matrix and Unit Cell
Determining the Bravais Lattice
The Measurement of Integrated Intensities
CRYSTAL DIFFRACTION: DATA
Experimental Error
Scaling the Intensity Data
Determining the Space Group
CRYSTAL STRUCTURE SOLUTION: EXPERIMENTAL
The Patterson Function
Other Experimental Methods
Completion of the Structural Solution: Fourier Methods
CRYSTAL STRUCTURE SOLUTION: STATISTICAL
Direct Methods
Other Direct Methods
Competion of the Structural Solution: Probability Methods
CRYSTAL STRUCTURE REFINEMENT
Linear Least Squares
Non-Linear Least Squares: Structure Refinement
Macromolecular Refinement
APPENDIX
A Geometric Derivation of Bragg's Law
The Fourier Transform: Electron Density & The Structure Factor
Determination of the Phase Parameter in the Amplitude Reflectivity Ratio
Reflection From a Single Plane
A Discussion of Kinematical Models for Extinction
Probability Integrals: The Modified Bessel Function
Monte Carlo Optimization -
A Simple Example
Contrained Optimization
Taylor Series