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The exhaustive list of topics in Molecular Spectroscopy in which we provide Help with Homework Assignment and Help with Project is as follows:

  • Electromagnetic radiation and its interaction with atoms and molecules - absorption, emission, stimulated emission, time dependent quantum mechanics, line broadening and line widths.
  • Angular momentum in quantum mechanics and molecular rotation, Euler angles, operators associated with rotations, molecular rotational (microwave) spectroscopy - diatomic molecules, centrifugal effects, spin statistics, line intensities and dipole moments. Polyatomic molecular rotational spectroscopy, centrifugal distortion, asymmetric tops, selection rules.
  • Diatomic molecular vibrational spectroscopy, Harmonic and an harmonic vibrations, wave functions, selection rules, Morse oscillator, vibrational motion in polyatomic molecules- normal modes, visualization of normal modes of polyatomic molecules, the Wilson F matrix, internal coordinates, Wilson GF matrix, diagonalization.
  • Group theory -The symmetry of normal modes of vibrations. Direct product representations selection rules. An introduction to molecular symmetry groups (permutation- inversion groups). Vibrational analysis of benzene as an example to illustrate principles of group theory.
  • Raman spectroscopy. Theory of Rayleigh and Raman scattering, classical and quantum models. Rotational Raman effect and an analysis of molecular electric polarization tensor –vibrational Raman effect. Rotational-vibrational transitions from both IR spectroscopy and Raman spectroscopy.
  • Electronic spectroscopy of diatomic and polyatomic molecules. Vector coupling of angular momenta. Russell- Saunders and J - J coupling. Molecular term symbols.
  • The Franck - Condon principle, Deslanders tables and dissociation energies. Symmetry of diatomic levels and parity (Gerade / Ungerade). Walsh‘s rules in qualitative MO. Theory. Huckel MO theory. Jahn - Teller and Renner - Teller effects. Non - radiative Transitions and Jablonski diagram.
  • Photoelectron, Auger and X-ray fluorescence spectroscopy
  • Laser spectroscopy and applications, Introduction to lasers, molecular beams. Optical pumping and double resonance. Quantum beats, photon echoes and free induction decay, applications in laser induced chemical reactions and coherent control, femtosecond chemistry and laser Raman spectroscopy.