✍ Scribed by Guido Van Hooydonk
No coin nor oath required. For personal study only.
After decades of intensive research, the question remains relations between the constants. We show that ionic potentials of generalized Kratzer-type (Varshni's V th whether or not a universal two-or three-parameter potential exists. For a large number of about 300 bonds, we now potential) and their ionic Coulomb-like asymptotes Ae 2 /R e (with A close to 1) behave as simple universal two-parameter critically review the constraints for potentials and asymptotes, involved in three available scaling processes potentials. For both α e and ω e x e , this potential gives percentage deviations 2 to 3 times smaller than Morse's three (Varshni, Calder-Ruedenberg, and Graves-Parr). We show that the covalent Sutherland parameter can never be a parameter potential for hundreds of bonds. We also prove that the Graves-Parr scaling hypothesis is valid, despite universal scaling factor. This implies that the usual constraint U(R) = -D e at R = ϱ for potentials is only desirable and that these authors' own conclusion. We discuss various new relations between spectroscopic constants. the natural asymptote D e is not even needed to explain the troscopic constants of a large number of diatomic bonds low-parameter reduced potentials: a reputed covalent one Rozier 9, B-9000 Ghent, Belgium
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