Theory of Intercollisional Interference Effects. II. Induced Absorption in a Real Gas

1972 ◽  
Vol 50 (22) ◽  
pp. 2881-2901 ◽  
Author(s):  
J. Courtenay Lewis

The kinetic theory of intercollisional interference effects in induced infrared spectra developed in the first publication of this series for a Lorentz gas is extended to a real gas.A principal conclusion is that intercollisional interference in absorption is always destructive in the systems considered. Though the theory is mathematically less tractable for the real gas than for the Lorentz gas, a useful upper bound to the intercollisional interference dip minimum is obtained. This upper bound is evaluated for the exponential model developed previously, for all values of the mass ratio m1/m2. The intercollisional interference minimum itself is calculated for this model with m1 = m2. Finally, a simplification of the expression for the line-shape function is discussed.

1972 ◽  
Vol 50 (4) ◽  
pp. 352-367 ◽  
Author(s):  
J. Courtenay Lewis ◽  
J. Van Kranendonk

A general kinetic theory of intercollisional interference effects in induced infrared spectra is developed, in which the correlations between all the collisions in the collision sequence of a molecule are taken into account, but the effect of the ternary and higher-order collisions is neglected. The resulting series expression for the line-shape function is explicitly summed for a Lorentz gas. From this general theory expressions are derived for the depth of the intercollisional dip and the shape of the intercollisional spectrum assuming that the pair dipole moment and the intermolecular force are exponential functions with slightly different ranges. The extension of the theory to take into account the frequency dependence of the intracollisional spectrum, and the resulting inadequacy of the neglect of ternary collisions, are discussed.


1973 ◽  
Vol 51 (23) ◽  
pp. 2455-2458 ◽  
Author(s):  
J. Courtenay Lewis

We show that, within the limits of the theory of intercollisional interference effects developed for collision-induced absorption by a Lorentz gas in paper I of this series, an intercollisional interference minimum which goes precisely to zero implies that the induced dipole moment is exactly proportional to the intermolecular force.


1961 ◽  
Vol 39 (12) ◽  
pp. 1733-1737 ◽  
Author(s):  
Y. Y. Lee

The adequacy of the approximation method used by McMillan and Opechowski in their theoretical study of the temperature dependence of the paramagnetic resonance line shape function is very difficult to ascertain for the case of a typical paramagnetic crystal. For this reason the approximation method has been investigated for the very simple case of the one-dimensional Ising model. Exact expressions for the line shape function of the model are compared with expressions obtained by the approximation method mentioned above. The agreement between the two expressions is found to be very good in general, and extremely good at very low temperatures.


1974 ◽  
Vol 15 (11) ◽  
pp. 1942-1943 ◽  
Author(s):  
A. Weyland
Keyword(s):  

2018 ◽  
Vol 7 (3) ◽  
pp. 245-252 ◽  
Author(s):  
Zhongdong Yang ◽  
Yuquan Zhen ◽  
Zenshan Yin ◽  
Chao Lin ◽  
Yanmeng Bi ◽  
...  

Abstract. TanSat is a key satellite mission in the Chinese Earth Observation program and is designed to measure the global atmospheric column-averaged dry-air CO2 mole fraction by measuring the visible and near-infrared solar-reflected spectra. The first Chinese super-high-resolution grating spectrometer for measuring atmospheric CO2 is aboard TanSat. This spectrometer is a suite incorporating three grating spectrometers that make coincident measurements of reflected sunlight in the near-infrared CO2 band near 1.61 and 2.06 µm and in the molecular oxygen (O2) A-band at 0.76 µm. The spectral resolving power (λ∕Δλ) values are ∼19 000, ∼12 800, and ∼12 250 in the O2 A-band, and the weak and strong absorption bands of CO2, respectively. This paper describes the prelaunch spectral calibration of the atmospheric carbon dioxide grating spectrometer aboard TanSat. Several critical aspects of the spectrometer, including the spectral resolution, spectral dispersion, and the instrument line shape function of each channel, which are directly related to producing the Level 1 products are evaluated in this paper. The instrument line shape function of the spectrometer is notably symmetrical and perfectly consistent across all channels in the three bands. The symmetry is better then 99.99 %, and the consistency in the worst case is better then 99.97 %, 99.98 %, and 99.98 % in the O2 A, WCO2, and SCO2 bands, respectively. The resulting variations in the spectral calibrations and the radiometric response errors are negligible. The spectral resolution characterizations meet the mission requirements. The spectral dispersions have excellent consistency in the spatial dimension of each band, and there is good linearity in the spectral dimension of each band. The RMS errors of the fitting residuals are 0.9, 1, and 0.7 pm in the O2 A-band, the WCO2 band, and the SCO2 band, respectively. Taken together, these results suggest that the spectral characterizations of the spectrometer aboard TanSat meet the mission requirements.


1987 ◽  
Vol 139 (2) ◽  
pp. K137-K140 ◽  
Author(s):  
B. M. Bolotov ◽  
D. A. Aksenov ◽  
A. I. Polyakov ◽  
S. P. Senshin

1996 ◽  
Vol 68 (14) ◽  
pp. 1907-1909
Author(s):  
Jianping Yin ◽  
Jianxing Fang ◽  
Shiqun Zhu ◽  
Weijian Gao ◽  
Yuzhu Wang

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