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dc.creatorFox, K.en_US
dc.date.accessioned2006-06-15T13:17:51Z
dc.date.available2006-06-15T13:17:51Z
dc.date.issued1970en_US
dc.identifier1970-B-2en_US
dc.identifier.urihttp://hdl.handle.net/1811/8367
dc.descriptionThis work done while the author was an N.R.C.-N.A.S.A. Resident Research Associate (1967-69) at JPL.en_US
dc.descriptionAuthor Institution: Jet Propubation Laboratory,, California Institute of Technologyen_US
dc.description.abstractA calculation of the quantum-mechanical rotational partition function for tetrahedral $XY_{4}$ molecules is presented. Emphasis is placed on the inclusion of nuclear-spin statistical weight factors in a rigorous way, and on the evaluation of infinite sums in closed form with rigorous error bounds. The theory of theta functions and the Jacobi transformation are used extensively. The partition function is $Q_{1} = (1/12) (2I_{Y}+1)^{4}\pi^{\frac{1}{2}}\alpha^{-\frac{3}{2}} \exp(\alpha4)$, where $I_{Y}$ is the spin of the Y nucleus, and $\alpha\equiv$ Bhc/kT. This result is accurate to 1% or better for all values of B and T such that $\alpha<\frac15$.en_US
dc.format.extent79730 bytes
dc.format.mimetypeimage/jpeg
dc.language.isoEnglishen_US
dc.publisherOhio State Universityen_US
dc.titleON THE ROTATIONAL PARTITION FUNCTION FOR TETRAHEDRAL MOLECULESen_US
dc.typearticleen_US


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