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 B 3Пo u+ and X 1 Σ + g 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 F − J = 0 can be calculated with an uncertainty of ≤30 kHz for transitions in the wavelength range between 514 nm and 820 nm.
Similar content being viewed by others
References
T.J. Quinn, Metrologia 36, 211 (1999).
C.J. Borde, G. Gamy. B. Decomps, J.-P. Descoubes, J. Vigue, J. Phys. France 42, 1393 (1981).
C.J. Borde, G. Camy, B. Decomps, Phys. Rev. A 20, 254 (1979).
F.-L. Hong, J. Ishikawa, Opt. Commun. 183, 101 (2000).
F.-L. Hong, J. Ye, L.-S. Ma, S. Picard, C.J. Borde, J.L. Hall, J. Opt. Soc. Am. B 18, 379 (2001).
J. Ye, L. Robertsson, S. Picard, L.-S. Ma, J.L. Hall, IEEE Trans. Instrum. Meas. 48, 544 (1999).
M.L. Eickhoff, J.L. Hall, IEEE Trans. Instrum.. Meas. 44, 155 (1995).
C.S. Edwards, G.P. Barwood, P. Gill, F. Rodriguez-Llorente, W.R.C. Rowley, Opt. Commun. 132, 94 (1996).
S. Kremser, B. Bodermann. H. Knockel, E. Tiemann, Opt. Commun. 110, 708 (1994).
C.S. Edwards, G.P. Barwood, P. Gill, W.R.C. Rowley, Metrologia 36, 41 (1999).
A. Razet, J. Gagnière, P. Juncar, Metrologia 30, 61 (1993).
H.R. Simonsen, IEEE Trans. Instrum. Meas. IM46, 141 (1997).
S. Gerstenkorn, P. Luc, Atlas du spectre d’absorption de la molécule d’iode, Laboratoire Aimé Cotton, CNRS II, 91405 Orsay (France), 14000 cm−1–15 600 cm−1 (1978), 15 600 cm−1–17 600 cm−1 (1977), 17 500 cm−1–20 000 cm−1 (1977); S. Gerstenkorn, J. Vergès, J. Chevillard, Atlas du spectre d’absorption de la molécule d’iode, Laboratoire Aimé Cotton, CNRS II, 91405 Orsay (France), 11000 cm−1–14000 cm−1 (1982).
S. Gerstenkorn, P. Luc, J. Phys. France 46, 867 (1985).
I. Velchev, R. van Dierendonck, W. Hogervorst, W. Ubachs, J. Mol. Spectrosc. 187, 21 (1998).
S.C. Xu, R. van Dierendonck, W. Hogervorst, W. Ubachs, J. Mol. Spectrosc. 201, 256 (2000).
M. Broyer, J. Vigué, J.C. Lehmann, J. Phys. France 39, 591 (1978).
J. Vigué, M. Broyer, J.C. Lehmann, Phys. Rev. Lett. 42, 883 (1979).
J.P. Pique, F. Hartmann, S. Churassy. R. Bacis, J. Phys. France 47, 1909 (1986) (part I), 1917 (part II).
M. Gläser, PTB-Bericht, PTP-Opt-25 (1987).
V. Spirko, J. Blabla, J. Mol. Spectrosc. 129, 59 (1988).
A. Morinaga, K. Sugiyama, N. Ito, J. Helmcke, J. Opt. Soc. Am. B 6, 1656 (1989).
A. Arie, R.L. Byer, Opt. Commun. 111, 253 (1994).
A. Razet, S. Picard, Metrologia 33, 19 (1996), and references therein.
A. Razet, S. Picard, Metrologia 34, 181 (1997), and references therein.
A. Yokozeki, J.S. Muenter, J. Chem. Phys. 72, 37966 (1980).
J.-P. Wallerand, F. duBurck, B. Merrier, A.N. Goncharov, M. Himbert; Ch.J. Bordé, Eur. Phys. J. D 6, 63 (1999).
H. Knöckel, S. Kremser, B. Bodermann, E. Tiemann, Z. Phys. D 37, 43 (1996).
P. Gill, J.A. Clancy, J. Phys. E: Sci Instrum. 21, 213(1988).
S. Churassy, G. Grenet, M.L, Gaillard, R. Bacis, Opt. Commun. 30, 41 (1997).
J.B. Koffend, S. Goldstein, R. Bacis, R.W. Field, S. Ezekiel, Phys. Rev. Lett. 41, 1040 (1978).
H. Belaidi, M. Himbert, Y. Millerioux, A. Razet, P. Juncar, IEEE Trans. Instr. Meas. 44, 461 (1995).
R.P. Hackel, S. Ezekiel, Phys. Rev. Lett. 42, 1736 (1979).
J.B. Koffend, Ph.D. thesis, M.I.T., Cambridge, Mass, 1978.
R.P. Hackel, K.H. Castleton, S.G. Kugolich, S. Ezekiel, Phys. Rev. Lett. 35, 568 (1975).
J.P. Pique, F. Hartmann, R. Bacis, S. Churassy, Opt. Commun. 36, 354 (1981).
R. Bacis, M. Broyer, S. Churassy, J. Vergès, J. Vigué, J. Chem. Phys. 73, 2641 (1980).
M. Wakasugi, T. Horiguchi, M. Koizumi, Y. Yoshizawa, J. Opt. Soc. Am. B 5, 2298 (1988).
J. Vigué, M. Broyer, J.C. Lehmann, J. Phys. France 42, 937 (1981) (parts I-III).
E. Martínez, M.T. Martínez, F. Castano, J. Mol. Spec-trosc. 128, 554 (1988).
F. Bertinetto, P. Cordiale, S. Fontana, G.B. Picotto, IEEE Trans. Instr. Meas. IM-36, 609 (1987).
W.-Y. Cheng, J.-T. Shy, T. Lin, Opt. Commun. 156, 170 (1998).
C.J. Bordé, private communication, 2001.
H. Knöckel, B. Bodermann, E. Tiemann, to be published.
See www.toptica.com.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bodermann, B., Knöckel, H. & Tiemann, E. Widely usable interpolation formulae for hyperfine splittings in the 127I2 spectrum. Eur. Phys. J. D. 19, 31–44 (2002). https://doi.org/10.1140/epjd/e20020052
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e20020052