Main theory of symmetry, major crystal structures, the real structure of crystals, the geometry of the lattice and the reciprocal lattice, ctystal structure analysis. learning outcomes: the student should be able to work mathematically with crystal lattice in direct and recipocal space, be able to calculate directionce. lattice planes, orientations, angles and other geometrical relationship, to be familiar with all bravais lattice types, point groups, symmetry operators and selected space groups, be able to perforf tensor transformations and calculations of physical properties and symmetries.

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