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dc.creatorMcCoy, Anne B.en_US
dc.date.accessioned2011-07-12T17:34:51Z
dc.date.available2011-07-12T17:34:51Z
dc.date.issued2011en_US
dc.identifier2011-TJ-02en_US
dc.identifier.urihttp://hdl.handle.net/1811/49531
dc.descriptionAuthor Institution: Department of Chemistry, The Ohio State University, Columbus, OH 43210en_US
dc.description.abstractAnalytical solutions for the Morse oscillator are used to evaluate $\langle V\rangle_n$ and $\langle T\rangle_n$. For all bound states $\langle V\rangle_n= \frac{\hbar \omega_e}{2}\left (n+\frac{1}{2}\right )$. This result is identical to the result that is obtained for the harmonic oscillator with the same quadratic force constant. Consequently, all of the anharmonicity in the energy of the quantum states of a Morse oscillator is incorporated in $\langle T\rangle_n$. This finding is tested for realistic diatomic potential functions for Ar-Xe, $\chem Be_2$ and the $E-$state of $\chem Li_2$. Analysis of $\langle V\rangle_n/\left (n+\frac{1}{2}\right )$ for these systems shows that this quantity is well approximated by $\omega_e/2$ over large ranges of $n$. Implications of this result to polyatomic systems and for vibration to translation collisional energy transfer are discussed., {\bf 501}, 603-607 (2011).} \vspace{3 mm}en_US
dc.language.isoenen_US
dc.publisherOhio State Universityen_US
dc.titleUNEXPECTED PROPERTIES OF THE MORSE OSCILLATORen_US
dc.typeArticleen_US


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