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September 23, 2023

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Description

5.80 Small-Molecule Spectroscopy and Dynamics (Fall 2008, MIT OCW). Instructor: Professor Robert Field.

The goal of this course is to illustrate the spectroscopy of small molecules in the gas phase: quantum mechanical effective Hamiltonian models for rotational, vibrational, and electronic structure; transition selection rules and relative intensities; diagnostic patterns and experimental methods for the assignment of non-textbook spectra; breakdown of the Born-Oppenheimer approximation (spectroscopic perturbations); the stationary phase approximation; nondegenerate and quasidegenerate perturbation theory (van Vleck transformation); qualitative molecular orbital theory (Walsh diagrams); the notation of atomic and molecular spectroscopy. (from ocw.mit.edu)

Course Curriculum

  • Lecture 01 – Matrices are Useful in Spectroscopic Theory Unlimited
  • Lecture 02 – Coupled Harmonic Oscillators: Truncation of an Infinite Matrix Unlimited
  • Lecture 03 – Building an Effective Hamiltonian Unlimited
  • Lecture 04 – Atoms: 1e- and Alkali Unlimited
  • Lecture 05 – Alkali and Many e- Atomic Spectra Unlimited
  • Lecture 06 – Many e- Atoms Unlimited
  • Lecture 07 – How to Assign an Atomic Spectrum Unlimited
  • Lecture 08 – The Born-Oppenheimer Approximation Unlimited
  • Lecture 09 – The Born-Oppenheimer Approach to Transitions Unlimited
  • Lecture 10 – The Born-Oppenheimer Approach to Transitions II Unlimited
  • Lecture 11 – Pictures of Spectra and Notation Unlimited
  • Lecture 12 – Rotational Assignment of Diatomic Electronic Spectra I Unlimited
  • Lecture 13 – Laser Schemes for Rotational Assignment First Lines for Ω’, Ω” Assignments Unlimited
  • Lecture 14 – Definition of Angular Momenta and |AαMA> Unlimited
  • Lecture 15 – 2Π and 2Σ Matrices Unlimited
  • Lecture 16 – Parity and e/f Basis for 2Π, 2Σ± Unlimited
  • Lecture 17 – Hund’s Cases: 2Π, 2Σ± Examples Unlimited
  • Lecture 18 – Perturbations Unlimited
  • Lecture 19 – Second-order Effects Unlimited
  • Lecture 20 – Transformations between Basis Sets: 3-j, 6-j, and Wigner-Eckart Theorem Unlimited
  • Lecture 21 – Construction of Potential Curves by the Rydberg-Klein-Rees Method (RKR) Unlimited
  • Lecture 22 – Rotation of Polyatomic Molecules I Unlimited
  • Lecture 23 – Asymmetric Top Unlimited
  • Lecture 24 – Pure Rotation Spectra of Polyatomic Molecules Unlimited
  • Lecture 25 – Polyatomic Vibrations: Normal Mode Calculations Unlimited
  • Lecture 26 – Polyatomic Vibrations III: s-vectors and H2O Unlimited
  • Lecture 27 – Polyatomic Vibrations IV: Symmetry Unlimited
  • Lecture 28 – Normal and Local Modes, High Overtone Spectra Unlimited
  • Lecture 29 – A Sprint through Group Theory Unlimited
  • Lecture 30 – What is in a Character Table and How do We Use It? Unlimited
  • Lecture 31 – Electronic Spectra of Polyatomic Molecules Unlimited
  • Lecture 33 – Vibronic Coupling Unlimited
  • Lecture 34 – Wavepacket Dynamics Unlimited
  • Lecture 35 – Wavepacket Dynamics II Unlimited
  • Lecture 36 – CNPI Group Theory Unlimited
  • Lecture 37 – Laser Double Resonance Studies Unlimited
  • Lecture 38 – Laser Double Resonance Studies II Unlimited

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