Knowledge Bank

The F-coefficients introduced by Moret-$Bailly1$ have been used extensively in studies of high-resolution vibration –rotation spectra of spherical-top molecules. These coefficients are closely related to the eigenvalues of octahedrally invariant tensor operators. We have calculated numerical values of $F(4)$ and $F(6)$ up to J = 160. Newly found systematics and relationships for these F-coefficients will be presented.