The exhaustive list of topics in Chemical bonding and group theory in which we provide **Help with Homework Assignment** and **Help with Project** is as follows:

**Quantum Chemistry and Chemical Bonding**

- Born-Oppenheimer approximation.
**Approximation methods**for molecular quantum chemistry; Non-degenerate and degenerate perturbation theory and variational principle; Examples from simple chemical systems; Hellmann – Feynman theorem; Approximate build up of orbitals for atoms (Aufbau priniciple).**Diatomic molecules –**Valence bond theory and molecular orbital theory for homonuclear and heteronuclear systems; Resonance, dipole moments, ionic-covalent resonance energy; Electronegativity and electron affinity; Bond order and bond strengths.**Polyatomic systems –**Hybridization and directed valence orbitals; Pauli’s exclusion principle.**Conjugated and aromatic systems –**Huckel molecular orbital theory; Heterocycles and fractional bond order; Huckel rule.- Orbital description of
**pericyclic reactions**; Woodward- Hoffmann rules. - An elementary introduction to
**self-consistent field method**– The Hartree – Fock method.

**Group Theory**

**molecular symmetry –**symmetry elements and operations.**Elementary group theory –**definitions and examples – point groups, properties of groups, classification of point groups.**Matrix representations for group elements**– unitary and reducible representations – examples from molecular symmetry elements.**The Great Orthogonality theorem**without proof and results that can be derived from it – derivation of character tables.**Direct products and direct sums of irreducible representations;**Group theory and quantum mechanics: Wave functions and bases for irreducible representations; Direct product and non-zero matrix elements for operators.**Symmetry – adapted linear combinations and projection operators;**Applications in molecular orbital theory and**Huckel method;**Selection rules- molecular models for inorganic and organometallic compounds.**Molecular vibrations:**Normal modes - symmetry types of normal modes; Force constant matrix and vibrational selection rules.- full three dimensional rotation group and permutation – inversion group.