corrigendum to “spectral line parameters including temperature dependences of air-broadening for...

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Corrigendum Corrigendum to ‘‘Spectral line parameters including temperature dependences of air-broadening for the 20 bands of 13 C 16 O and 12 C 18 O 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, USA b Science Directorate, NASA Langley Research Center, Hampton, VA 23681, USA c Dept. of Physics, Astronomy and Geophysics, Connecticut College, 270 Mohegan Avenue, New London, CT 06320, USA d Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Dr., Pasadena, CA 91109, USA The authors regret that the statistical weight g i was not printed in Eq. (2) of our published article [1]. The correct equation should have been written as S i ðT 0 Þ¼ S v m i L i F Q r m 0 g i exp C 2 E 00 T 0 1 exp C 2 m i T 0 ð2Þ In Eq. (2), g i is the statistical weight [2] given by g i = G (2I i + 1) where I i is the spin of each nucleus i. The nuclear spin I i and the sta- tistical weight g i for CO isotopologues are given below. Nuclear spin I i for atomic carbon and oxygen Atom 12 C 13 C 16 O 18 O 17 O Nuclear spin (I i ) 0 ½ 0 0 5 / 2 Isotopologue Statistical weight (g i ) of the isotopologues 12 C 16 O or 12 C 18 O (2 0 + 1)(2 0 + 1) = 1 13 C 16 O or 13 C 18 O (2 1/2 + 1)(2 0 + 1) = 2 12 C 17 O (2 0 + 1)(2 5/2 + 1) = 6 13 C 17 O (2 1/2 + 1)(2 5/2 + 1) = 12 Other terms in Eq. (2) were defined in Ref. [1] but are included here for the convenience of the reader: m i = wavenumber (in cm 1 ) of a transition; v 0 = band center (in cm 1 , equal to G 0 G 00 ); E 00 = the lower state energy (in cm 1 ); T 0 = the temperature of the absorbing gas, which in the present case is the reference temperature of 296 K; S v = the vibrational band strength in cm/molecule at 296 K; S i = line intensity (in cm/ molecule at 296 K); L i = the Hönl-London factors; C 2 = the second radiation constant = 1.4387 when line positions and lower state energies are in cm 1 , T in Kelvin and the molecular mass is in amu. Q r = lower state rotational quantum partition function at temperature T 0 (296 K), (224.074297 for 13 C 16 O and 112.464588 for 12 C 18 O). 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 the Harvard-Smithsonian Center for Astrophysics, Cambridge MA for pointing 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 Diatomic Molecules, second ed., Van Nostrand Reinhold Company, New York, NY 10001, 1950. 0022-2852/$ - see front matter Ó 2012 Elsevier Inc. All rights reserved. http://dx.doi.org/10.1016/j.jms.2012.12.001 DOI of original article: http://dx.doi.org/10.1016/j.jms.2012.05.005 Corresponding author. Fax: +1 757 864 7790. E-mail address: [email protected] (V. Malathy Devi). Journal of Molecular Spectroscopy 283 (2013) 44 Contents lists available at SciVerse ScienceDirect Journal of Molecular Spectroscopy journal homepage: www.elsevier.com/locate/jms

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Journal of Molecular Spectroscopy 283 (2013) 44

Contents lists available at SciVerse ScienceDirect

Journal of Molecular Spectroscopy

journal homepage: www.elsevier .com/locate / jms

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

00ht

Atom

22-2852/$ - see front matttp://dx.doi.org/10.1016/j.jm

DOI of original article: httpCorresponding author. FaE-mail address: malathy.d

12C

er � 2012 Es.2012.12.0

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13C

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16O

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.jms.2012.05

ov (V. Mala

18O

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thy Devi).

17O

Nuclear spin (Ii) 0 ½ 0 0 5/2

Isotopologue

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) = 12

Other 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.