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Last updated:

October 6, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

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Description

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.

Course Curriculum

  • General information Unlimited
  • Matrices are useful in spectroscopic theory Unlimited
  • Spectroscopic notation Unlimited
  • Coupled harmonic oscillators: truncation of an infinite matrix Unlimited
  • Matrix solution of harmonic Unlimited
  • Building an effective hamiltonian Unlimited
  • Anharmonic oscillator, Unlimited
  • Atoms: 1e- and alkali Unlimited
  • Alkali and many e- atomic spectra Unlimited
  • Many e- atoms Unlimited
  • How to assign an atomic spectrum Unlimited
  • The Born-Oppenheimer approximation Unlimited
  • Excerpts from the spectra and dynamics of diatomic molecules Unlimited
  • The Born-Oppenheimer approach to transitions Unlimited
  • The Born-Oppenheimer approach to transitions II Unlimited
  • Pictures of spectra and notation Unlimited
  • Rotational assignment of diatomic electronic spectra I Unlimited
  • Laser schemes for rotational assignment first lines for Ω’, Ω” assignments Unlimited
  • Definition of angular momenta Unlimited
  • Rotation and angular momenta Unlimited
  • 2∏ and 2∑ matrices Unlimited
  • Parity and e/f basis for 2∏, 2∑± Unlimited
  • Hund’s cases: 2∏, 2∑± examples Unlimited
  • Energy level structure of 2∏ and 2∑ states Unlimited
  • Perturbations Unlimited
  • A model for the perturbations Unlimited
  • Second-order effects Unlimited
  • Second-order effects: centrifugal distortion and Λ-doubling Unlimited
  • Transformations between basis sets: 3-j, 6-j, and Wigner-Eckart theorem Unlimited
  • Construction of potential curves by the Rydberg-Klein-Rees method (RKR) Unlimited
  • Rotation of polyatomic molecules I Unlimited
  • Energy levels of a rigid rotor, energy levels of an asymmetric rotor Unlimited
  • Asymmetric top Unlimited
  • Energy levels of a rigid rotor, energy levels of an asymmetric rotor Unlimited
  • Pure rotation spectra of polyatomic molecules Unlimited
  • Energy levels of a rigid rotor Unlimited
  • Polyatomic vibrations: normal mode calculations Unlimited
  • Polyatomic vibrations II: s-vectors, G-matrix, and Eckart condition Unlimited
  • Polyatomic vibrations III: s-vectors and H2O Unlimited
  • Polyatomic vibrations IV: symmetry Unlimited
  • A sprint through group theory Unlimited
  • What is in a character table and how do we use it? Unlimited
  • Electronic spectra of polyatomic molecules Unlimited
  • transition Unlimited
  • Vibronic coupling Unlimited
  • Time-independent Schrodinger equation for a molecular system Unlimited
  • Wavepacket dynamics Unlimited
  • Wavepacket dynamics III Unlimited

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Massachusetts Institute of Technology