Note on the interpretation of the visible absorption spectrum of bromine

The inversion of diatomic Born–Oppenheimer-breakdown corrections

“…Another method of inversion of the vibration-rotation energies is the well-known Rydberg-Klein-Rees (RKR) method [3][4][5][6][7], which gives the classical turning points as functions of the potential energy. The adaptation of the RKR method to fitting pure rotational data has been described by Child and Nesbitt [8].…”

Modified Morse Potential for Diatomic Molecules

“…[10] reduces to the Morse function in Eq. [1] if all ␤ parameters are set equal to ␤ 0 , and T c 3 ϱ.…”

“…Of the nonanalytic types the Rydberg-Klein-Rees (RKR) potential (1) utilizing the WKB method for locating the classical turning points of a potential derived from spectroscopic data has been and continues to be successfully used (2)(3)(4)(5)(6)(7)(8). As an analytic representation, on the other hand, the well-known Morse potential (9) U ͑r ͒ ϭ D e ͓1 Ϫ e Ϫ␤0͑rϪre͒ ͔ 2 [1] is a surprisingly good first approximation for most diatomics with an appropriate choice of just the three parameters D e , r e , and ␤ 0 . A number of modifications to the Morse function Eq.…”

“…A number of modifications to the Morse function Eq. [1] that improve the fitting of diatomic vibrational data have been proposed with some notable ones being those of Hajj (10), Huffaker (11), , and Dagher et al (13).…”

An extended Lennard-Jones potential energy function for diatomic molecules: Application to ground electronic states

“…Even before this time, there was development of numerical methods for the computation of accurate potential energy functions. A well-known and popular numerical method that supported investigators for many decades is the Rydberg-Klein-Rees (RKR) method [5][6][7]. The principal advantage of the RKR method is that it does not assume any particular form for the potential energy, and therefore does not suffer from model dependent limitations.…”