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Use of Molecular Symmetry To Describe Pauli Principle Effects on the Vibration–Rotation Spectroscopy of CO2(g)

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M. L. Myrick , P. E. Colavita , A. E. Greer , B. Long and D. Andreatta

Department of Chemistry and Biochemistry, University of South Carolina, Columbia, SC 29208

J. Chem. Educ., 2004, 81 (3), p 379

DOI: 10.1021/ed081p379

Publication Date (Web): March 1, 2004

Section:

History, Education, and Documentation

Abstract

A previous article published in this Journal (2002, 79, 117) described the vibration–rotation spectroscopy of the asymmetric stretching fundamental infrared CO₂ absorbance and its use in an undergraduate laboratory. The consequence of the nuclear spin of oxygen (I = 0) on the rotational fine structure of this absorbance is to forbid alternate rotational levels, causing the observed spacing between rotation–vibration lines to be twice that expected for linear nonhomonuclear molecules such as HCl. The present article presents a systematic method for obtaining the Pauli principle rules based on the analysis of a series of symmetry operations equivalent to the exchange of identical oxygen nuclei in CO₂.

Keywords (Audience):

Upper-Division Undergraduate

Keywords (Domain):

Physical Chemistry

Keywords (Subject):

Carbon

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Received: August 03, 2009

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Article

Use of Molecular Symmetry To Describe Pauli Principle Effects on the Vibration–Rotation Spectroscopy of CO2(g)

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Using the Asymmetric Stretch Band of Atmospheric CO2 to Obtain the C=O Bond Length

High-Resolution Vibration–Rotation Spectroscopy of CO2: Understanding the Boltzmann Distribution

IR Vibration-Rotation Spectra of the Ammonia Molecule

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