Speed-dependent spectral line profile including line narrowing and mixing

Abstract A line profile model was developed that accounts for all essential underlying physical mechanisms. The model is based on the quantum-mechanical collision integral kernel calculated for intermolecular interaction potentials ∝r−n with n=3…6 where r is the distance between colliding molecules. It was shown that collisions of molecules with scattering on classical small angles flatten the line profile. The relative flattening reaches 10% for n=3 and has a smaller value, ~2%, for n=6 in conditions of inhomogeneous line broadening. An algebraic expression for the line profile was obtained, which allows processing recorded spectra with preliminary estimation and constraint of some of the profile׳s parameters.

[1]  V. P. Kochanov.  Collision line narrowing and mixing of multiplet spectra , 2000 .

[2]  M. Nelkin,et al.  Simple Binary Collision Model for Van Hove's G s ( r , t ) , 1964 .

[3]  V. P. Kochanov.  Effect of diffraction of molecules on collisional line narrowing , 2000 .

[4]  V. P. Kochanov.  Line profiles for the description of line mixing, narrowing, and dependence of relaxation constants on speed , 2011 .

[5]  V. P. Kochanov.  Combined effect of small- and large-angle scattering collisions on a spectral line shape , 2015 .

[6]  V. P. Kochanov.  Manifestations of small-angle molecular scattering in spectral line profiles , 2014 .

[7]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[8]  R. Dicke.  The effect of collisions upon the Doppler width of spectral lines , 1953 .

[9]  L. Galatry,et al.  Simultaneous Effect of Doppler and Foreign Gas Broadening on Spectral Lines , 1961 .

[10]  Efficient approximations of the voigt and rautian-sobelman profiles , 2011 .

[11]  R. Dicke,et al.  Redetermination of the Hyperfine Splitting in the Ground State of Atomic Hydrogen , 1954 .

[12]  V. P. Kochanov.  On one-dimensional velocity approximation for speed-dependent spectral line profiles , 2013 .

[13]  Paul R. Berman,et al.  Speed-dependent collisional width and shift parameters in spectral profiles , 1972 .

[14]  Jean-Michel Hartmann,et al.  Efficient computation of some speed-dependent isolated line profiles , 2013 .

[15]  Sergei G. Rautian,et al.  Reviews of Topical Problems: the Effect of Collisions on the Doppler Broadening of Spectral Lines , 1967 .