The reciprocal lattice
Laboratoire de Minéralogie Cristallographie associé au C.N.R.S. - Université Pierre et Marie Curie, PARIS
To give a firm mathematical understanding of the reciprocal lattice, of the relationships between real and reciprocal space and of their implications for X-ray diffraction.
This approach would be suitable for final year undergraduates in physics and mathematics or for initial post-graduate students in other disciplines provided that their mathematical background is adequate.
A familiarity with vector manipulation is needed and, for certain sections, an understanding of tensor calculus.
No specific practical resources are required.
Time required for teaching
If the mathematical background is already adequate this could be taught in 3 or 4 lectures. More would be required, however, if time has to be spent on mathematical equations and derivations as in places the treatment given is very concise.