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This lecture covers coordination numbers, common ligands, and geometries in coordination chemistry. The instructor explains the concept of coordination numbers, the characteristics of common ligands such as porphyrins, and the preferred geometries like square planar and tetrahedral. The lecture also delves into the spatial distribution between ligands and the different geometries that can be achieved by varying ligands. Furthermore, it discusses the coordination of various metal ions with ligands, including examples like Ni²⁺, Pd²⁺, and Au³⁺. The importance of specific ligands in forcing certain geometries and the significance of d⁸ electron configurations in determining the geometry are also highlighted.