Problems of classical theory: stability and dimension of atoms and molecules, fotoelectric efect, black body radiation, spectrum of hydrogen atom, Bohr model (primitive quantum theory). Quantum theory: wave nature of particles, de Brogli relation, Schrodinger equation, particle spin, axioms of wave mechanics, consequences of those axioms, tunel effect Simple models: Particle in a box, separation of variables, harmonic oscilator, hydrogen atom. Many electron atoms: atom spectrum, selection rules. Molecules: Born-Oppenheimer approximation, LCAO (MO) method, hybridisation method, Huckel method, alternant and nonalternant systems, PPP method, many determinant wave functions, configuration interaction (CI), VB method, comparison of VB and MO, ligand field theory. Approximate methods: perturbation expansion, the use of symmetry.
1. Explain problems of classical physics and conceptual differences of classical and quantum mechanics.
2. Explain the concept of wavefunction and specify and explain postulates of quantum mechanics.
3. Apply postulates, write out Schrödinger equations and explain exact solutions for following systems: particle in one dimensional box, free particle, and quantum mechanical harmonic oscillator.
4. Write out Schrödinger equation for hydrogen and hydrogen-like atoms, explain methods for solving equation and solutions, explain effects in manyelectron atoms.
5. Explain and apply variational principle and perturbation methods in solving quantum chemical problems.
6. Explain methods for solving Schrödinger equation for ground and excited states of helium atom.
7. Write out Schrödinger equation for molecules and explain Born-Oppenheimer approximation.
8. Review Hartree-Fock self-consistent field method for atoms.
- 1. P. W. Atkins & R. S. Friedman, Molecular Quantum Mechanics, 3. izd. Oxford Univ. Press, Oxford 1997.
2. I. Supek, Teorijska fizika i struktura materije, poglavlje V: Molekularna kvantna mehanika, Zagreb, 1964
- W. J. Hehre, Practical Strategies for Electronic StructureCalculations, Wavefunctions Inc. 1995.
- P. W. Atkins & R. S. Friedman, Molecular Quantum Mechanics, 3. izd. Oxford Univ. Press, Oxford 1997.