dc.creator Fox, K. en_US dc.date.accessioned 2006-06-15T13:17:51Z dc.date.available 2006-06-15T13:17:51Z dc.date.issued 1970 en_US dc.identifier 1970-B-2 en_US dc.identifier.uri http://hdl.handle.net/1811/8367 dc.description This work done while the author was an N.R.C.-N.A.S.A. Resident Research Associate (1967-69) at JPL. en_US dc.description Author Institution: Jet Propubation Laboratory,, California Institute of Technology en_US dc.description.abstract A 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.extent 79730 bytes dc.format.mimetype image/jpeg dc.language.iso English en_US dc.publisher Ohio State University en_US dc.title ON THE ROTATIONAL PARTITION FUNCTION FOR TETRAHEDRAL MOLECULES en_US dc.type article en_US
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