Based on a new criterion that was proposed to search for the universality of spectroscopic constants for bound ground-state diatomics [R. H. Xie and P. S. Hsu, Phys. Rev. Lett. 96, 243201 (2006)], we have found universal scaling relations between spectroscopic constants of diatomic systems with -, -, and -type valence-shell constituents. Our study suggests a useful empirical approach for the prediction of molecular spectroscopic constants.
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