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This lecture covers point symmetry elements, crystal systems, Bravais lattices, and space groups. It discusses the 7 crystal systems, 14 Bravais lattices, and 32 point groups, including rotational axes, mirror planes, and inversion centers. The lecture also explores translational symmetry, glide reflections, screw axes, and symmetry identification in crystals. It delves into the 230 possible space groups, emphasizing the importance of finding the highest symmetry in crystal structures. The presentation concludes with a detailed analysis of solid state structures, focusing on close-packed arrangements and common crystal structures like rock salt.