NUCLEAR HYPERFINE INTERACTIONS IN SPHERICAL TOPS

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1980

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Ohio State University

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The nuclear hyperfine hamiltonian for $XY_{4}$ and $XY_{6}$ spherical-top molecules, in their ground electronic $(^{1}\Sigma )$ states, is constructed by a tensor method and is given by a formal linear combination of invariant tensor products in the group $^{F}O(3) \times G$ (G=Td on Oh). The theory is developed for arbitrary values of nuclear spin moments Ix and Iy and for any vibrational state. General expressions for the matrix elements can be obtained for any coupling scheme in the zero low or high field limit. Predominant interaction operators in the ground and triply degenerate fundamental states will be given. The computation of effective formal hyperfine parameters in terms of molecular constants will be briefly described.

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