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Lecture 7: Systematic Absences

Crystallography Supplementary SubjectLecture 7: Systematic Absences1 Lecture 7: Systematic AbsencesThe reason that we have focussed on crystal symmetry for the last four lectures is thatsymmetry is going to help us to simplify the interpretation of crystallographic crux of this Lecture is to understand how the various symmetry elements Bravaislattice, translational symmetry and point symmetry affect diffraction patterns. What weare leading towards is being able to use the symmetry of an observed diffraction pattern inreciprocal space to deduce the symmetry about the crystal in real begin by making two simple but important observations.

Conditions due to the existence of screw axes: Screw axis Reflection condition Reflections involved 2 1 h, kor l= 2n 4 2, 6 3 l= 2n h00 for axis ka 3 1, 3 2, 6 2, 6 4 l= 3n 0k0 for axis kb 4 1, 4 3 l= 4n 00lfor axis kc 6 1, 6 5 l= 6n Conditions due to the existence of glide planes (n.b. this list is not comprehensive for the d-glides):

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