Vibronic Spectra of Diatomic Molecules and the Birge-Sponer Extrapolation: BirgeSponer.mcd
George M. Shalhoub
Department of Chemistry, La Salle University, Philadelphia, PA 19141 Theresa Julia Zielinski
Department of Chemistry, Medical Technology, and Physics, Monmouth University, West
Long Branch, NJ 07764-1898
The goal of this document is to examine the
potential energy curve for both the ground and excited states of an
electronic transition in order to set the stage for a
Birge-Sponer determination of the
Do and De dissociation energies of
the excited state of a diatomic molecule from experimental
UV-vis spectral data. This document takes advantage of the
live symbolics and optimize features of Mathcad PLUS 6 to
present a derivation of the Birge-Sponer equations. The document
contains ample student exercises to foster reflection and
learning of the spectroscopic concepts. After using this
document students will be able to: explain the relationship between
the potential energy curves for excited and ground states in a
molecule; explain the significance of each parameter in a
Morse potential energy function; and use a Birge-Sponer plot to
determine dissociation energy of an electronic excited state of
a diatomic molecule. This document will prepare students
for analysis of the vibronic spectrum of iodine or some other
diatomic molecule. The Iodine Spectrum document (below)
is the companion template for the analysis of the UV-vis
spectrum of a diatomic molecule.
More Information
Citation
Shalhoub, George M.; Zielinski, Theresa Julia. J. Chem. Educ.1998 75 1192.
Keywords
internet, physical chem, quantum chem, teaching, learning aids
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