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Symmetry

Congruences
Movements
Symmetry operations: axes of rotation symmetry
Symmetry operations: symmetry inversion axes
Point group symmetry
Space lattices
The crystal periodicity
The crystal periodicity: screw axes
Axes of rotation symmetry: a summary
The crystal periodicity: glide planes
The space groups
Point groups in two dimensions
Plane lattices
Crystallographic plane groups
About the composition of two-fold axes


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Computing

Metric matrix
   
-Unit cell volume
   
-Modulus of a vector
   
-Interatomic distance
   
-The bond angle
The reciprocal lattice
   
-Some examples
The torsion angle
Basis transformation
   
-From triclinic to orthonormal
The structure factor
Electron density calculation


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Diffraction

Historical summary
The Bragg law
The Ewald sphere
The Dirac delta function
The lattice function L
The Fourier transform
  
-of functions
  
-of lattices
Examples of Fourier transform


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