18O3 Calculated Integrated Intensity and Dipole Transition Moment Operator Parameters of the ν2 + 7ν3, and 4ν2 + 5ν3 Bands

  • 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 ν2 + 7ν3, and 4ν2 + 5ν3 bands 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 intensities are given in units of cm/molecule at 296 K.

Their values correspond to the sum of their individual line intensities, calculated with a cut-off equal to 1 × 10−29 cm/molecule at 296 K.

Calculated parameters are 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 (017) and (045) Interacting States. Band Centers for the ν2 + 7ν3, and 4ν2 + 5ν3 Transitions.”

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


SE: Statistical error.

{A, B} = AB + BA


Integrated intensity

Transformed dipole transition moment operator



ν2 + 7ν3

5.68 × 10−26


A-type band


φZ × 105



4ν2 + 5ν3

4.11 × 10−26


A-type band


φZ × 105




{φZ, J2} × 109



Symbols and abbreviations

Short form

Full form

υ 1 υ 2 υ 3

Upper vibrational level in normal mode notation

J x ,J y ,J z

Molecule-fixed components of J


Total angular momentum vector


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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