The Effects of Permanent Dipole Moments in Laser-molecule interactions
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Details to be posted shortly.
Collision-induced Absorption
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It is well-known that homonuclear diatomic molecules (e.g. N2 or
O2) do not have permanent dipole moments in the ground electronic
state. Therefore, the gas does not exhibit vibration-rotational absorption in
the infra-red region as hetero-polar diatomics do. However, there are weak
continuum-type transitions due to translational, rotational, and vibration-
rotational transitions caused by transient dipoles that are induced during
binary collisions. The latter is generally called collision-induced absorption
(CIA) or supermolecular absorption. The understanding of CIA is important for
the study of radiative transfer in the Earth's atmosphere.
The CIA has been determined for O2 and N2
for N2-N2, O2-O2,
O2-N2, and N2-O2 pairs where
in each instance the first molecule listed in assumed to make the fundamental
transition. For each of these dimers, the isotropic
interaction (anisotropy is ignored) is modeled by a Lennard-Jones potential.
Using the LJ potential and the multipole-induced dipole functions, the collisioninduced absorption can be determined. Please see the listed references for
a complete discussion of the theory.
Below we have illustrative plots for T = 200K, 250K and 300K. More importantly, we
make available data for the absorption coefficient (in units of cm-1
amagat-2)
for these various pairs over a wide temperature range. The spectra have been computed
every 10 K from 190 - 310 K.
For N2, the
fundamental band has been computed from 2100-2600 cm-1 and
for O2, the fundamental has been computed from
1300-1800 cm-1. The spectrum has been computed every 5
cm-1 within these energy ranges.
Energies (in cm-1) used in all calculations.
Parameter |
N2 |
O2 |
w01 |
2329.914 |
1556.385 |
Bv=0 |
1.989581 |
1.4297116 |
Dv=0 |
5.76x10-6 |
4.839x10-6 |
Bv=1 |
1.972263 |
1.4137816 |
Dv=1 |
5.76x10-6 |
4.839x10-6 |
The data is available in two formats:
- A single ascii file containing all temperatures within the
range T = 190 - 310K
- A gzipped and tarred file, which upon expansion gives a series
of files where each file contains the
absorption at a single temperature
Currently, these are the only results we have available. If there are any other
species that you are interested in, please feel free to contact us as we
may be able to help.
Write to Professor R.H. Tipping or
Dr. A. Brown and we will try
to get back to you as soon as possible.
N2-N2
Reference: J. Boissoles, R.H. Tipping, and C.Boulet, "Theoretical study of collision-induced
fundamental absorption spectra of N2-N2 pairs for temperatures
between 77 and 297K", Journal of Quantitative Spectroscopy and Radiative Transfer
51, 615 (1994).
Parameter |
Value |
a00 |
11.74 |
a01 |
0.365 |
g00 |
4.75 |
g01 |
0.438 |
Q00 |
-1.052 |
Q01 |
0.0563 |
f00 |
-7.5 |
f01 |
-0.15 |
s |
6.956 |
E |
91.5 |
|
|
O2-O2
Reference: G. Moreau, J. Boissoles, C. Boulet, R.H. Tipping, and Q. Ma,
"Theoretical study of collision-induced
fundamental absorption spectra of O2-O2 pairs for temperatures
between 193 and 297K", Journal of Quantitative Spectroscopy and Radiative Transfer
64, 87 (2000).
Parameter |
Value |
a00 |
10.87 |
a01 |
0.357 |
g00 |
7.30 |
g01 |
0.57 |
Q00 |
-0.264 |
Q01 |
0.106 |
f00 |
4.4 |
f01 |
0.185 |
s |
6.55 |
E |
106.7 |
|
|
NOTE:
The O2-O2 calculation
includes a short-range
contribution for the L = 3 mechanism of the form m
3exp[-(R - s)/(0.11s)]
where m3 = 5.0x10-5.
O2-N2
and N2-O2
Reference: G. Moreau, J. Boissoles, R. Le Doucen,C. Boulet, R.H. Tipping, and Q. Ma,
"Experimental and theoretical study of the collision-induced
fundamental absorption spectra of N2-O2 and
O2-N2", Journal of Quantitative Spectroscopy and Radiative Transfer
69, 245-256 (2001).
Parameter |
N2 Value |
O2 Value |
a00 |
11.50 |
11.08 |
a01 |
0.365 |
0.357 |
g00 |
4.75 |
7.30 |
g01 |
0.438 |
0.570 |
Q00 |
-1.052 |
-0.264 |
Q01 |
0.0613 |
0.1028 |
f00 |
-7.5 |
4.4 |
f01 |
-0.15 |
0.185 |
s |
6.72 |
E |
107.125 |
|
|
NOTE:
The O2-N2 calculation
includes a short-range
contribution for the L = 3 mechanism of the form m
3exp[-(R - s)/(0.11s)]
where m3 = -4.5x10-5.
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NOTE:
The N2-O2 calculation
includes a short-range
contribution for the L = 3 mechanism of the form m
3exp[-(R - s)/(0.11s)]
where m3 = -5.0x10-5.
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Translation-rotation correction factor
Reference: J. Boissoles, C. Boulet, R.H. Tipping, A. Brown, and Q. Ma,
"Theoretical calculation of the translation-rotation collision-induced
absorption in N2-N2, O2-O2, and
and N2-O2 pairs", Journal of Quantitative
Spectroscopy and Radiative Transfer 82505-516 (2003).
.
The correction factor R(w,T) as a function of energy in cm-1.
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