Small Molecule Spectroscopy and Dynamics

Small-Molecule Spectroscopy and Dynamics BY Prof. Robert Field via MIT

Intermediate 0(0 Ratings) 0 Students enrolled
Created by Massachusetts Institute of Technology Staff Last updated Sun, 06-Mar-2022 English


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Syllabus / What will i learn?

Master the language of spectroscopists — a bewildering array of apparently capricious notation;

Develop facility with quantum mechanical models by which observed energy levels may be exactly matched by the eigenvalues of some effective Hamiltonian matrix which, in turn, is expressed in terms of a minimal number of adjustable parameters (molecular constants);

Predict the relative intensities and selection rules governing transitions between eigenstates, since spectra display only transition frequencies and not energy eigenvalues;

Learn how to assign spectra. It is not sufficient to know that there is a molecular eigenstate at a particular energy; it is necessary to know its quantum name as well. Spectral assignment is a topic that is neglected in all textbooks except those by Herzberg, yet it is the most important, difficulty, and frequently performed task of a spectroscopist.

Experimental techniques will not be discussed, except in the most superficial, photons-as-bullets formalism.



Curriculum for this course
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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.

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