Role of diffusion in the violation of the long‐wave approximation in line wings

The asymptotic line wing theory assumes the presence of two intermolecular interaction characteristics–quantum and classical intermolecular interaction potentials–in the expression of the absorption coefficient. The same classical potential enters into the expression for the second virial coefficient. The classical potential found from the second virial coefficient data is used for calculating of the temperature dependence of the absorption coefficient of water vapor line wings in the 8–12 μm transparency window. To obtain agreement between the calculated and experimental absorption coefficients at this point, it is necessary to refine the expression for the absorption coefficient by abandoning the longwave approximation in line wings. The calculation that meets this condition is performed in the framework of a diffusion model. The time between collisions of certain type giving rise to line wing absorption is estimated. © 2012 Wiley Periodicals, Inc.

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

[2]  Richard H. Tipping,et al.  The distribution of density matrices over potential-energy surfaces: Application to the calculation of the far-wing line shapes for CO2 , 1998 .

[3]  A. Joshi,et al.  Effective potential for water vapour , 1980 .

[4]  R. Tipping,et al.  The density matrix of H2O–N2 in the coordinate representation: A Monte Carlo calculation of the far-wing line shape , 2000 .

[5]  A. Ben-Reuven Impact Broadening of Microwave Spectra , 1966 .

[6]  W B Grant,et al.  Water vapor absorption coefficients in the 8-13-microm spectral region: a critical review. , 1990, Applied optics.

[7]  O. B. Rodimova,et al.  Spectral line shape. I. Kinetic equation for arbitrary frequency detunings , 1995 .

[8]  P. Rosenkranz,et al.  Pressure broadening of rotational bands. II. Water vapor from 300 to 1100 cm - 1 , 1987 .

[9]  O. B. Rodimova,et al.  Line shape in far wings and water vapor absorption in a broad temperature interval , 2010 .

[10]  D. L. Huber,et al.  Absorption, emission, and linebreadths: A semihistorical perspective , 1977 .

[11]  I. V. Ptashnik,et al.  Pure water vapor continuum measurements between 3100 and 4400 cm−1: Evidence for water dimer absorption in near atmospheric conditions , 2007 .

[12]  Walter J. Lafferty,et al.  Water-vapor continuum absorption in the 800-1250 cm-1 spectral region at temperatures from 311 to 363 K , 2008 .

[13]  R. Zwanzig Ensemble Method in the Theory of Irreversibility , 1960 .

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

[15]  Richard H. Tipping,et al.  The averaged density matrix in the coordinate representation: Application to the calculation of the far-wing line shapes for H2O , 1999 .

[16]  C. Leforestier,et al.  Temperature dependences of mechanisms responsible for the water-vapor continuum absorption. I. Far wings of allowed lines. , 2008, The Journal of chemical physics.

[17]  F. X. Kneizys,et al.  Line shape and the water vapor continuum , 1989 .

[18]  R. H. Tipping,et al.  A far wing line shape theory and its application to the foreign-broadened water continuum absorption. III , 1992 .

[19]  U. Fano Pressure Broadening as a Prototype of Relaxation , 1963 .

[20]  Michael L. Klein,et al.  Intermolecular potential functions and the properties of water , 1982 .

[21]  P. Rosenkranz Pressure broadening of rotational bands. I - A statistical theory , 1985 .

[22]  R. L. Alt,et al.  Continuum Absorption by H2O in the 700-1200 cm(-1) and 2400-2800 cm(-1) Windows, , 1984 .

[23]  R. Tipping,et al.  The frequency detuning correction and the asymmetry of line shapes: The far wings of H2O–H2O , 2002 .

[24]  R E Roberts,et al.  Infrared continuum absorption by atmospheric water vapor in the 8-12-microm window. , 1976, Applied optics.

[25]  J. V. Vleck,et al.  Collision Theories of Pressure Broadening of Spectral Lines , 1949 .

[26]  I. V. Ptashnik,et al.  Laboratory measurements of the water vapor continuum in the 1200–8000 cm−1 region between 293 K and 351 K , 2009 .

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

[28]  Eric W. Lemmon,et al.  Correlation for the Second Virial Coefficient of Water , 2004 .

[29]  S. D. Tvorogov Problem of centers of mass within the problem of the contour of spectral lines. 1. Existence of long trajectories , 2009 .