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This lecture covers the behavior of particles subject to potential energy, as described by the Schrodinger equation. It delves into the energy levels of hydrogen-like atoms, the Schrodinger equation in spherical coordinates, and the solution of the radial equation for hydrogen atoms. The lecture also explores quantum numbers, molecular bonding, and spectra, including vibrational and rotational states. The discussion extends to the formation of molecules, ionic and covalent bonds, hydrogen bonds, and metallic bonds. Additionally, it touches on the stability of closed electronic shells, the concept of probability distribution functions, and the study of vibrations and rotations in atoms and molecules.