| 1 |
1 Quantum Theory: Introduction and Principles
Black body radiation, Planck’s hypothesis ( quantization of energy)
Bohr atom model, atomic spectra, wave-particle duality, photon,photoelectric effect, Heisenberg Uncertainity Principle, wave character of particles, de Broglie wavelength, wavefunction, operators, Schrödinger equation ( time dependent, time independent equations), probability density
2 Complex functions, Differential equations
Quantum Theory: Techniques and Applications
Translational motion: the particle in a box model (one dimensional box)
3 The particle in a box model ( two and three dimensional box), normalization, degeneracy, tunnelling
4 Vibrational motion: harmonic oscillator, classical solution
Quantum mechanical solution of harmonic oscillator, Hermite polynomials, properties, virial theorem, IR frequencies
5 Rotational motion: rotation in two dimension, quantization of rotation
Rotation in three dimension, Angular momentum, rigid rotor, Microwave frequencies
6 Vibrational-Rotational spectra of diatomic molecules
7 Midterm Examination
8 Atomic Structure and Atomic Spectra
Electronic structure, Hydrogen atom, Solution of Schrödinger equation
Atomic orbitals and their energies, quantum numbers, energy levels, shells, subshells
9 Radial distribution functions
H-like ions, selection rules, transitions
10 The structure of many-electron atoms, helium atom
Pauli principle, penetration and shielding, the building-up principle, Hund’s rule, spin, the Zeeman effect
11 Molecular Structure
Born-Oppenheimer Approximation, valance bond theory
Molecular orbital theory, hydrogen molecule and hydrogen molecule-ion
12 The electronic structure of diatomic molecules
13 Variation Principle
14 Hückel Molecular Orbital Theory and its applications |