Geometrical Crystallography

Catalog description

Derivation of lattices, types, point groups, and space groups; and group theory applied to crystallography and spectroscopy. MATSE 535 Geometrical Crystallography (3) Visual, mathematical, and group theory approaches are used to examine in detail the geometry of periodic, quasiperiodic, and incommensurate structures. From computer-assisted class discussions and weekly homework assignments, the student becomes familiar with the symmetry operations involved in translation, rotation, and color changes. Point groups, space groups, and color groups are derived through a combination of visual and mathematical considerations. The structure of group theory is then explored and applied to the derivation of space groups.