18O3 Calculated Integrated Intensity and Dipole Transition Moment Operator Parameters of the 3ν1 + 5ν3 Band

  • Guy Guelachvili
  • Nathalie Picqué
Part of the Molecules and Radicals book series (volume 20C2)


This chapter provides the calculated integrated intensity and dipole transition moment operator parameters of the 3ν1 + 5ν3 band of 18O3 measured using continuous wave–cavity ring down spectroscopy.

Natural isotopic abundance: 8.62 × 10−9.




Continous Wave – Cavity Ring Down Spectroscopy.


Equations  47 and  52 in chapter “ Introduction”.

Statistical errors

One standard deviation in units of the least significant full size digit.


All moment operator constant values are obtained in Debye.

The integrated intensity is given in units of cm/molecule at 296 K.

Its value corresponds to the sum of its individual line intensities, calculated with a cut-off equal to 5 × 10−29 cm/molecule at 296 K.

The calculated parameters is purposely given with one supplementary digit, in index form, in order to reproduce the line intensities to experimental accuracy.

Spectroscopic parameters are given in chapter “ 18O3 Vibrational Energy and Rotational and Centrifugal Distortion Constants of the Dark (601), the (305) and Dark (252) Interacting States.”

The isotopic composition of the elements used for the calculation of the natural isotopic abundance is taken from [2007Coh].


SE: Statistical error.


Integrated intensity

Transformed dipole transition moment operator



3ν1 + 5ν3

1.70 × 10−25


A-type band


φZ × 104



Symbols and abbreviations

Short form

Full form

υ 1 υ 2 υ 3

Upper vibrational level in normal mode notation


Statistical error


  1. [2007Coh]
    Cohen, E.R., Cvitaš, T., Frey, J.G., Holmström, B., Kuchitsu, K., Marquardt, R., Mills, I., Pavese, F., Quack, M., Stohner, J., Strauss, H.L., Takami, M., Thor, A.J.: Quantities, Units and Symbols in Physical Chemistry. The IUPAC Green Book, 3rd Ed., Cambridge: RSC Publishing, 2007.Google Scholar
  2. [2012Sta]
    Starikova, E., Barbe, A., De Backer-Barilly, M.R., Tyuterev, V.G., Mondelain, D., Kassi, S., and Campargue, A.: Analysis of the CRDS spectrum of 18O3 between 6950 and 7125 cm−1. J. Quant. Spectrosc. Radiat. Transfer. 113 (2012) 1741–1752.ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Guy Guelachvili
    • 1
  • Nathalie Picqué
    • 2
  1. 1.Institut des Sciences Moléculaires d’Orsay (ISMO)CNRS, Univ. Paris-Sud, Univ. Paris-SaclayOrsayFrance
  2. 2.Institut des Sciences Moléculaires d’Orsay (ISMO)CNRS, Univ. Paris-Sud, Univ. Paris-SaclayOrsayFrance

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