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• W2949205527 endingPage "1642" @default.
• W2949205527 startingPage "1617" @default.
• W2949205527 abstract "After decades of intensive research, the question remains whether or not a universal two- or three-parameter potential exists. For a large number of about 300 bonds, we now critically review the constraints for potentials and asymptotes, involved in three available scaling processes (Varshni, Calder–Ruedenberg, and Graves–Parr). We show that the covalent Sutherland parameter can never be a universal scaling factor. This implies that the usual constraint U(R) = –De at R = ∞ for potentials is only desirable and that the natural asymptote De is not even needed to explain the relations between the constants. We show that ionic potentials of generalized Kratzer-type (Varshni's Vth potential) and their ionic Coulomb-like asymptotes Ae2/Re (with A close to 1) behave as simple universal two-parameter potentials. For both αe and ωexe, this potential gives percentage deviations 2 to 3 times smaller than Morse's three parameter potential for hundreds of bonds. We also prove that the Graves–Parr scaling hypothesis is valid, despite these authors' own conclusion. We discuss various new relations between spectroscopic constants." @default.
• W2949205527 created "2019-06-27" @default.
• W2949205527 creator A5047731736 @default.
• W2949205527 date "1999-10-01" @default.
• W2949205527 modified "2023-09-27" @default.
• W2949205527 title "A Universal Two-Parameter Kratzer-Potential and Its Superiority over Morse's for Calculating and Scaling First-Order Spectroscopic Constants of 300 Diatomic Bonds" @default.
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