• Recognize the most significant and elementary solutions of Schrodinger equation in molecular quantum mechanics through a study of time independent perturbation theory, valence bond and molecular orbital theories. • Apply the concept of linear combination of atomic orbitals to hybridization and directed bonding in polyatomic molecules. • Solve the real-world problem using advanced numerical programs through Gaussian orbitals. • Show that molecular symmetry operations form a group and can be characterized by fundamental representations of groups known as irreducible representations • Apply the great orthogonality theorem to derive simple point groups and illustrate its use in the applications in crystal field theory, pericyclic reactions and molecular spectroscopy. Learning Outcomes: At the end of the course, the learners should be able to: • Apply time independent perturbation theory to complex problems of molecular energy levels in the presence of external electric and magnetic fields • Distinguish different types of hybridization based on geometries of the complex and to calculate for a one-electron and two electron system, all the necessary integrals due to coulombic forces. • Determine the symmetry operations of any small and medium-sized molecule and apply point group theory to the study of electrical, optical and magnetic properties and selection rules for absorption.