Courses:

Help support MIT OpenCourseWare by shopping at Amazon.com! MIT OpenCourseWare offers direct links to Amazon.com to purchase the books cited in this course. Click on the Amazon logo to the left of any citation and purchase the book from Amazon.com, and MIT OpenCourseWare will receive up to 10% of all purchases you make. Your support will enable MIT to continue offering open access to MIT courses.

The goal of this course is to illustrate how molecular structure is extracted from a spectrum. In order to achieve this goal it will be necessary to:

1. Master the language of spectroscopists - a bewildering array of apparently capricious notation;
2. 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);
3. Predict the relative intensities and selection rules governing transitions between eigenstates, since spectra display only transition frequencies and not energy eigenvalues;
4. 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 which is neglected in all textbooks except those by Herzberg, yet it is the most important, difficult, and frequently performed task of a spectroscopist.

This will, in large part, be a course in applied, stationary state quantum mechanics. Aside from the last few lectures, the focus will be on energy levels, structure, and spectra rather than experimental techniques and apparatus.

Formal requirements include:

1. Six problem sets, (33% of final grade);
2. Two take home examinations, (67% of final grade);
3. Reading assignments (listed as below):

Bernath, P. F. Spectra of Atoms and Molecules. New York, NY: Oxford University Press, 1995. ISBN: 9780195075984.

Hougen, J. T. "NBS Monograph 115." A version of "NBS Monograph 115" is available online through the National Institute of Standards and Technology.

Wilson, E. B., J. C. Decius, and P. C. Cross. Molecular Vibrations. New York, NY: McGraw-Hill, 1955.

In class handouts.

The approach and specific material covered in "Spectra of Atoms and Molecules" will be quite different from the lectures.