corrigendum to “spectral line parameters including temperature dependences of air-broadening for...
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Journal of Molecular Spectroscopy 283 (2013) 44
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Journal of Molecular Spectroscopy
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Corrigendum
Corrigendum to ‘‘Spectral line parameters including temperature dependencesof air-broadening for the 2 0 bands of 13C16O and 12C18O at 2.3 lm’’ [J. Mol.Spectrosc. 276–277 (2012) 33–48]
V. Malathy Devi a,⇑, D. Chris Benner a, M.A.H. Smith b, A.W. Mantz c, K. Sung d, L.R. Brown d
a Dept. of Physics, The College of William and Mary, Box 8795, Williamsburg, VA 23187, USAb Science Directorate, NASA Langley Research Center, Hampton, VA 23681, USAc Dept. of Physics, Astronomy and Geophysics, Connecticut College, 270 Mohegan Avenue, New London, CT 06320, USAd Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Dr., Pasadena, CA 91109, USA
The authors regret that the statistical weight gi was not printedin Eq. (2) of our published article [1]. The correct equation shouldhave been written as
SiðT0Þ ¼SvmiLiFQrm0
gi � exp�C2E00
T0
� �1� exp
�C2mi
T0
� �� �ð2Þ
In Eq. (2), gi is the statistical weight [2] given by gi = G (2Ii + 1)where Ii is the spin of each nucleus i. The nuclear spin Ii and the sta-tistical weight gi for CO isotopologues are given below.
Nuclear spin Ii for atomic carbon and oxygen
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Nuclear spin (Ii) 0 ½ 0 0 5/2Isotopologue
Statistical weight (gi) of the isotopologues 12C16O or 12C18O (2 � 0 + 1)(2 � 0 + 1) = 1 13C16O or 13C18O (2 � 1/2 + 1)(2 � 0 + 1) = 2 12C17O (2 � 0 + 1)(2 � 5/2 + 1) = 6 13C17O (2 � 1/2 + 1)(2 � 5/2 + 1) = 12Other terms in Eq. (2) were defined in Ref. [1] but are included herefor the convenience of the reader:
mi = wavenumber (in cm�1) of a transition; v0 = band center (incm�1, equal to G0 � G00); E00 = the lower state energy (in cm�1);T0 = the temperature of the absorbing gas, which in the presentcase is the reference temperature of 296 K; Sv = the vibrationalband strength in cm/molecule at 296 K; Si = line intensity (in cm/molecule at 296 K); Li = the Hönl-London factors; C2 = the secondradiation constant = 1.4387 when line positions and lower stateenergies are in cm�1, T in Kelvin and the molecular mass is inamu. Qr = lower state rotational quantum partition function attemperature T0 (296 K), (224.074297 for 13C16O and 112.464588for 12C18O).
The F factors have already been given by Eq. (3) in Ref. [1].Please note that all of the intensity values reported in tables and
figures of Ref. [1] were generated using the correct form of Eq. (2)including the statistical weight.
The authors especially thank Gang Li and Iouli Gordon at theHarvard-Smithsonian Center for Astrophysics, Cambridge MA forpointing out this omission.
References
[1] V.M. Devi, D.C. Benner, M.A.H. Smith, A.W. Mantz, K. Sung, L.R. Brown, J. Mol.Spectrosc. 276–277 (2012) 33–48.
[2] G. Herzberg, Molecular Spectra and Molecular Structure, I. Spectra of DiatomicMolecules, second ed., Van Nostrand Reinhold Company, New York, NY 10001,1950.