5.80 Small-Molecule Spectroscopy and Dynamics (Fall 2008, MIT OCW) | Chemistry and Chemical Engineering

5.80 Small-Molecule Spectroscopy and Dynamics

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 Introduction

Lecture 01 - Matrices are Useful in Spectroscopic Theory

Lecture 02 - Coupled Harmonic Oscillators: Truncation of an Infinite Matrix

Lecture 03 - Building an Effective Hamiltonian

Lecture 04 - Atoms: 1e- and Alkali

Lecture 05 - Alkali and Many e- Atomic Spectra

Lecture 06 - Many e- Atoms

Lecture 07 - How to Assign an Atomic Spectrum

Lecture 08 - The Born-Oppenheimer Approximation

Lecture 09 - The Born-Oppenheimer Approach to Transitions

Lecture 10 - The Born-Oppenheimer Approach to Transitions II

Lecture 11 - Pictures of Spectra and Notation

Lecture 12 - Rotational Assignment of Diatomic Electronic Spectra I

Lecture 13 - Laser Schemes for Rotational Assignment First Lines for Ω', Ω" Assignments

Lecture 14 - Definition of Angular Momenta and |AαM_A>

Lecture 15 - ²Π and ²Σ Matrices

Lecture 16 - Parity and e/f Basis for ²Π, ²Σ±

Lecture 17 - Hund's Cases: ²Π, ²Σ± Examples

Lecture 18 - Perturbations

Lecture 19 - Second-order Effects

Lecture 20 - Transformations between Basis Sets: 3-j, 6-j, and Wigner-Eckart Theorem

Lecture 21 - Construction of Potential Curves by the Rydberg-Klein-Rees Method (RKR)

Lecture 22 - Rotation of Polyatomic Molecules I

Lecture 23 - Asymmetric Top

Lecture 24 - Pure Rotation Spectra of Polyatomic Molecules

Lecture 25 - Polyatomic Vibrations: Normal Mode Calculations

Lecture 26 - Polyatomic Vibrations III: s-vectors and H₂O

Lecture 27 - Polyatomic Vibrations IV: Symmetry

Lecture 28 - Normal and Local Modes. High Overtone Spectra

Lecture 29 - A Sprint through Group Theory

Lecture 30 - What is in a Character Table and How do We Use It?

Lecture 31 - Electronic Spectra of Polyatomic Molecules

Lecture 32

Lecture 33 - Vibronic Coupling

Lecture 34 - Wavepacket Dynamics

Lecture 35 - Wavepacket Dynamics II

Lecture 36 - CNPI Group Theory

Lecture 37 - Laser Double Resonance Studies

Lecture 38 - Laser Double Resonance Studies II

References

5.80 Small-Molecule Spectroscopy and Dynamics (Fall 2008)
Instructors: Prof. Robert Field. Lecture Notes. Exams (no Solutions). Assignments and Solutions. The goal of this course is to illustrate the spectroscopy of small molecules in the gas phase.