Lineshape parameters for water vapor in the 3.2–17.76 μm region for atmospheric applications

Abstract Several NASA EOS instruments, the atmospheric infrared sounder (AIRS) on Aqua, and the tropospheric emission spectrometer (TES) and the high-resolution dynamics limb sounder (HIRDLS) on AURA, will be measuring water vapor in the Earth’s atmosphere in the 3.2–17.76 μm spectral region. In order to do retrievals of temperature and concentration profiles, the spectral parameters for many thousands of water vapor transitions must be known. Currently the largest uncertainty in these data is associated with the pressure-broadened half-width. To help ameliorate this situation, complex Robert–Bonamy calculations were made to determine N 2 -, O 2 -, and air-broadened half-widths and line shifts for 5442 transitions of the principal isotopologue of water vapor for the 11 vibrational bands in this region. The intermolecular potential is a sum of electrostatic terms (dipole–quadrupole and quadrupole–quadrupole), isotropic induction and London dispersion terms, and the atom–atom potential expanded to eighth order. The parameters are adjusted as described in Gamache and Hartmann [J. Quant. Spectrosc. Radiat. Transfer 83 (2004) 119]. Calculations were made at 225 and 296 K in order to determine the temperature dependence of the half-widths. When possible the data are compared with measurements. The average percent difference between the measured and calculated half-widths is −1.97, 2.6, and −1.55 for N 2 -, O 2 -, and air-broadening of water vapor, respectively. The agreement for the line shifts is less satisfactory. It is clear from this work that the calculations will benefit from a comprehensive adjustment of the intermolecular potential.

[1]  P. Anderson Pressure Broadening of the Ammonia Inversion Line by Foreign Gases: Quadrupole-Induced Dipole Interactions , 1950 .

[2]  Remo Guidieri Res , 1995, RES: Anthropology and Aesthetics.

[3]  R. A. Sack,et al.  Two-center expansion for the powers of the distance between two points , 1964 .

[4]  J. Renuncio,et al.  Combination rules for intermolecular potential parameters. I. Rules based on approximations for the long‐range dispersion energy , 1982 .

[5]  Robert R. Gamache,et al.  Collisional parameters of H2O lines: e&ects of vibration , 2004 .

[6]  W. Flygare,et al.  The molecular Zeeman effect in diamagnetic molecules and the determination of molecular magnetic moments (g values), magnetic susceptibilities, and molecular quadrupole moments , 1971 .

[7]  R. Kubo GENERALIZED CUMULANT EXPANSION METHOD , 1962 .

[8]  C. J. Tsao,et al.  Line-widths of pressure-broadened spectral lines , 1962 .

[9]  Robert R. Gamache,et al.  Half-widths of H216O,H218O,H217O,HD16O, and D216O: II. Comparison with measurement , 2003 .

[10]  Janet E. Jones On the determination of molecular fields. —II. From the equation of state of a gas , 1924 .

[11]  R. Good,et al.  Test of Combining Rules for Intermolecular Distances. Potential Function Constants from Second Virial Coefficients , 1971 .

[12]  Miss A.O. Penney (b) , 1974, The New Yale Book of Quotations.

[13]  J. Watson Determination of Centrifugal Distortion Coefficients of Asymmetric‐Top Molecules , 1967 .

[14]  G. Herzberg,et al.  Constants of diatomic molecules , 1979 .

[15]  Benjamin Bederson,et al.  Advances in atomic and molecular physics , 1965 .

[16]  J. Flaud,et al.  The interacting states (030), (110), and (011) of H216O , 1976 .

[17]  Hugh C. Pumphrey,et al.  Instrumental and spectral parameters: their effect on and measurement by microwave limb sounding of the atmosphere , 2000 .

[18]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[19]  J. Renuncio,et al.  Combination rules for intermolecular potential parameters. II. Rules based on approximations for the long‐range dispersion energy and an atomic distortion model for the repulsive interactions. , 1982 .

[20]  A. A. Chursin,et al.  The 1997 spectroscopic GEISA databank , 1999 .

[21]  Laurence S. Rothman,et al.  The HITRAN molecular spectroscopic database: edition of 2000 including updates through 2001 , 2003 .

[22]  A. Ben-Reuven Spectral Line Shapes in Gases in the Binary‐Collision Approximation , 2007 .

[23]  A. Avoird,et al.  Multipole moments, polarizabilities and anisotropic long range interaction coefficients for N2 , 1980 .

[24]  J. Bouanich Site-site Lennard-Jones potential parameters for N2, O2, H2, CO and CO2 , 1992 .

[25]  M. Baranger GENERAL IMPACT THEORY OF PRESSURE BROADENING , 1958 .

[26]  A. Stogryn,et al.  Molecular multipole moments , 1966 .

[27]  Yi Luo,et al.  Frequency‐dependent polarizabilities and first hyperpolarizabilities of H2O , 1993 .

[28]  Robert R. Gamache,et al.  New developments in the theory of pressure-broadening and pressure-shifting of spectral lines of H2O: The complex Robert-Bonamy formalism , 1998 .

[29]  Kojiro Takagi,et al.  Frequency measurement of pure rotational transitions of H20 from 0.5 to 5 THz , 1995 .

[30]  John S. Muenter,et al.  The dipole moment of water. II. Analysis of the vibrational dependence of the dipole moment in terms of a dipole moment function , 1991 .

[31]  S. Neshyba,et al.  Improved line-broadening coefficents for asymmetric rotor molecules with application to ozone lines broadened by nitrogen , 1993 .

[32]  L. Gordley,et al.  Sensitivity of ozone retrievals in limb-viewing experiments to errors in line-width parameters , 1983 .

[33]  Robert R. Gamache,et al.  An intercomparison of measured pressure-broadening and pressure-shifting parameters of water vapor , 2004 .

[34]  D. Hartmann Global Physical Climatology , 1994 .

[35]  Toth Air- and N(2)-Broadening Parameters of Water Vapor: 604 to 2271 cm(-1). , 2000, Journal of molecular spectroscopy.

[36]  S. Neshyba,et al.  N2 and O2 induced halfwidths and line shifts of water vapor transitions in the (301)←(000) and (221)←(000) bands , 1998 .

[37]  C. F. Curtiss,et al.  Molecular Theory Of Gases And Liquids , 1954 .

[38]  S. Neshyba,et al.  Pressure‐induced widths and shifts for the ν3 band of methane , 1994 .

[39]  P. Anderson Pressure Broadening in the Microwave and Infra-Red Regions , 1949 .

[40]  Jean-Michel Hartmann,et al.  Collisional broadening of rotation–vibration lines for asymmetric top molecules. I. Theoretical model for both distant and close collisions , 1986 .

[41]  D. Robert,et al.  Short range force effects in semiclassical molecular line broadening calculations , 1979 .

[42]  W. Wang Atomic-potential parameters for H2 and D2: quantum corrections in the calculation of second-virial coefficients , 2003 .

[43]  D. Rind,et al.  Algorithms and sensitivity analyses for Stratospheric Aerosol and Gas Experiment II water vapor retrieval , 1993 .