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dc.creatorStidham, Howard D.en_US
dc.date.accessioned2006-06-15T14:48:55Z
dc.date.available2006-06-15T14:48:55Z
dc.date.issued1983en_US
dc.identifier1983-RG-10en_US
dc.identifier.urihttp://hdl.handle.net/1811/11922
dc.description$^{1}$R.F. Schaufele and T. Shimanouchi, J. Chem. Phys. 47, 3605(1967).en_US
dc.descriptionAuthor Institution: Department of Chemistry, University of Massachusettsen_US
dc.description.abstractSchaufele and $Shimanouchi^{1}$ frist showed that low frequency Raman active vibrations of long chain hydrocarbons could be explained as longitudinal acoustic modes associated with odd numbers of nodes, or zeroes of the motion, along the hydrocarbon chain. The experimental which a polarization dependence of the from \begin{equation} \alpha=\alpha_{0}+\alpha_{1}\sum\nolimits_{i}\Delta\ell_{i}+\cdots \end{equation} was assumed. To the extent that this bond polarizability model can be applied to real molecules, there is a precise intensity sum rule which is embedded in the mathematics of the transformation from the basis coordinates $\Delta\ell_{i}$ to the normal coordinates $Q_{m}$ appropriate to such iterated virgulate structures. If $\mu$ is the reduced mass for motio-n $\Delta\ell_{i}$, the sum rule has the from \begin{equation} \frac{1}{2\mu\alpha_{1}^{2}}\sum\limits^{n-1 \hbox{ or } n-2}_{m_{ odd}{=1}}(\partial\alpha/\partial Q_{m})^{2} =1 \end{equation} In this paper, this intensity sum rule will be derived, and the scope of applicability will be discussed. Some real physical examples will be presented.en_US
dc.format.extent106880 bytes
dc.format.mimetypeimage/jpeg
dc.language.isoEnglishen_US
dc.publisherOhio State Universityen_US
dc.titleINTENSITY SUM RULE FOR ITERATED VIRGULATE STRUCTURESen_US
dc.typearticleen_US


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