Eur. Phys. J. D 19, 31-44 (2002)
https://doi.org/10.1140/epjd/e20020052

Widely usable interpolation formulae for hyperfine splittings in the ¹²⁷I₂ spectrum

Institut für Quantenoptik, Universität Hannover, Welfengarten 1, 30167 Hannover, Germany

Corresponding author: ^a tiemann@iqo.uni-hannover.de

Received: 17 July 2001
Revised: 17 October 2001
Published online: 15 April 2002

Abstract

Based on new systematic high precision measurements of hyperfine splittings in different rovibrational bands of ¹²⁷I₂ in the near infrared spectral range between 778 nm and 816 nm, and the data in the range from 660 nm to 514 nm available from literature, the quantum number dependence of the different hyperfine interaction parameters was reinvestigated. As detailed as possible parameters were re-fitted from the reported hyperfine splittings in literature, considering that the interaction parameters should vary smoothly with the vibrational and rotational quantum numbers, and follow appropriate physical models. This type of consistency has not been sufficiently taken into account by other authors. To our knowledge it is now possible for the first time to separate the hfs contributions of the two electronic states and for optical transitions in a very large wavelength range. New interpolation formulae could be derived for both states, describing the quantum number dependences of the nuclear electric quadrupole, of the nuclear spin-rotation and also of the nuclear spin-spin interactions. Using these new interpolation formulae the hyperfine splittings for the components with the quantum number condition can be calculated with an uncertainty of ≤30 kHz for transitions in the wavelength range between 514 nm and 820 nm.