A Generalization of the Rydberg Formula

Abstract

MARCH 15, 1930 PHYSICAL REVIEW VOLUME 35 LETTERS TO THE EDITOR Prompt publication of brief reports of important discoveries in physics may be secured by addressing them to this department. Closing dates for this department are f for the first issue of the month, the twenty-eighth of the preceding month; for the second issue, the thirteenth of the month. The Board of Editors does not hold itself responsible for the opinions expressed by the correspondents.

Precision measurements of quantum defects in thenP3/2Rydberg states of85Rb

“…A direct fit to the data is possible with the modified Rydberg-Ritz formula given in equation ( 4). This is convenient as it allows the energy of the transitions to be extracted more accurately and extrapolated to all other principal quantum numbers n. As the principal quantum number n increases, the energy E n approaches the ionization energy E i , making t n a very small number and the series quickly converges [21][22][23]. Moreover, it is possible to fit the equations using an iterative procedure and the result of this fit is shown in table 3 (method 3).…”

Precision measurements of quantum defects in the $n$P$_{3/2}$ Rydberg States of ${}^{85}$Rb

“…This is convenient as it allows the energy of the transitions to be extracted more accurately and extrapolated to all other principal quantum numbers n. As the principle quantum number n increases, the energy E n approaches the ionization energy E i , making t n a very small number and the series quickly converges [20,21,22]. Moreover, it is possible to fit the equations using an iterative procedure and the result of this fit is shown in Table 3 (Method 3).…”

Theoretical Study of Energy Levels and Transition Probabilities of Boron Atom

“…It should be noted that formula (5) is only for unperturbed series, but to our knowledge, for BI atom, the series 1s 2 2s 2 ns 2 S are perturbed by state 1s 2 2s2p 2 2 S strongly, so the perturbations must be taken into account when calculating the energy levels. On the basis of Martin's and Langer's [44] works, we proposed an expression for calculating levels which are perturbed by foreign levels [25]:…”