To show how rotation matrices and translation vectors can make a useful
contribution to the understanding of symmetry in real space and its
implications in reciprocal space.
Level
This approach would be most useful for students who already have some
acquaintance with crystallography in undergraduate courses.
Background
The text is self-contained but assumes familiarity with complex numbers and
some knowledge of vectors and matrices, e.g. multiplication of row and
column vectors or of two matrices.
Practical Resources
No specific practical resources are required.
Time Required for Teaching
This text could be worked through on a self-teaching basis in perhaps four
or five hours.
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