OSU Navigation Bar

The Ohio State University University Libraries Knowledge Bank

The Knowledge Bank is scheduled for regular maintenance on Sunday, April 20th, 8:00 am to 12:00 pm EDT. During this time users will not be able to register, login, or submit content.

CHOICE OF MOLECULE-FIXED AXES IN THE THEORY OF VIBRATION-ROTATION INTERACTION

Please use this identifier to cite or link to this item: http://hdl.handle.net/1811/8759

Show full item record

Files Size Format View
1971-O-01.jpg 88.68Kb JPEG image Thumbnail of CHOICE OF MOLECULE-FIXED AXES IN THE THEORY OF VIBRATION-ROTATION INTERACTION

Title: CHOICE OF MOLECULE-FIXED AXES IN THE THEORY OF VIBRATION-ROTATION INTERACTION
Creators: Pickett, H. M.; Wilson, E. Bright, Jr.
Issue Date: 1971
Abstract: The form of classical and quantum Hamiltonians for rotation and vibration are reexamined in a way which is general for large and small amplitude motion and any choice of axes. An analysis of the effect of a change of molecule-fixed axis is presented in detail, and the convergence properties of perturbation expansions of the Hamiltonian is discussed. Some rotation-vibration interaction terms converge slowly in an arbitrary set of axes, and the effect of these terms is shown to be equivalent to rotation from the original set of axes to a new set of axes in which the Coriolis terms are minimized. For small amplitude motions, this new axis system is almost equivalent to the Eckart axis system. Applications of these results to the spectra of several molecules will be presented.
URI: http://hdl.handle.net/1811/8759
Other Identifiers: 1971-O-1
Bookmark and Share