Desirability of Reduced Mass Concept, Conflicting CODATA Values of Some Constants: Variants of Fine Structure Constant and Rydberg Constant Equations

The use of the reduced mass concept as opposed to the rest mass seems to give conflicting results. The objectives were to derive variants of the equation of the Rydberg constant (R∞), fine structure constant, and wave number that relate with the Rydberg constant. The derived R∞ equations are variants of each other and of those known in the literature; this is also applicable to the fine structure constant (a). The values of R∞ range between 10973731.6 and 10973733.89 /m for the rest mass case, while for the reduced mass case, the range is between 10966253.06 and 10967784.63 /m; regarding ‘a’, the derived equations gave results that are the same. The use of rest mass and reduced mass gave conflicting values for physical constants. Other variants of the equation for R∞ may be determined in the future.