Measurements and empirical modeling of pure CO<sub>2</sub> absorption in the 2.3-μm region at room temperature: far wings, allowed and collision-induced bands

M. V. Tonkov; N. N. Filippov; V. V. Bertsev; J. P. Bouanich; Nguyen Van-Thanh; C. Brodbeck; J. M. Hartmann; C. Boulet; F. Thibault; R. Le Doucen

doi:10.1364/AO.35.004863

Applied Optics
Vol. 35,
Issue 24,
pp. 4863-4870
(1996)
•https://doi.org/10.1364/AO.35.004863

Measurements and empirical modeling of pure CO₂ absorption in the 2.3-μm region at room temperature: far wings, allowed and collision-induced bands

M. V. Tonkov, N. N. Filippov, V. V. Bertsev, J. P. Bouanich, Nguyen Van-Thanh, C. Brodbeck, J. M. Hartmann, C. Boulet, F. Thibault, and R. Le Doucen

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M. V. Tonkov, N. N. Filippov, V. V. Bertsev, J. P. Bouanich, Nguyen Van-Thanh, C. Brodbeck, J. M. Hartmann, C. Boulet, F. Thibault, and R. Le Doucen, "Measurements and empirical modeling of pure CO₂ absorption in the 2.3-μm region at room temperature: far wings, allowed and collision-induced bands," Appl. Opt. 35, 4863-4870 (1996)

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Abstract

Measurements of pure CO₂ absorption in the 2.3-μm region are presented. The 3800–4700-cm⁻¹ range has been investigated at room temperature for pressures in the 10–50-atm range by using long optical paths. Phenomena that contribute to absorption are listed and analyzed, including the contribution of far line wings as well as those of the central region of both allowed and collision-induced absorption bands. The presence of simultaneous transitions is also discussed. Simple and practical approaches are proposed for the modeling of absorption, which include a line-shape correction factor χ that extends to approximately 600 cm⁻¹ from line centers.

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Apparatus	Group
Apparatus	St. Petersburg	Rennes	Orsay
Spectrometer	Grating at first order	Fourier transform (Bruker HR120)	Fourier transform (Bruker IFS 66V)	Grating at first order
	Ge low-pass filter	3900–4600-cm⁻¹ filter	No filter	Ge low-pass filter
	3.0-cm⁻¹ resolution	0.1-cm⁻¹ resolution	0.5-cm⁻¹ resolution	4.0-cm⁻¹ resolution
Source	Halogen tungsten lamp	Halogen tungsten lamp	Glow bar	Glow bar
Detector	Room temperature PbS	Liquid nitrogen InSb	Liquid nitrogen InSb	Liquid nitrogen InSb
Cell	4-m-long multipass	2-m-long multipass	3-m-long single pass	7-cm-long single pass
	32–482-m paths	120-m paths	3-m paths	7-cm paths
	Stainless steel	Stainless steel	Stainless steel	Titanium
	CaF₂ windows	CaF₂ windows	Sapphire windows	Sapphire windows
Temperatures	Stabilized ±1 K	Stabilized ±0.5 K	Stabilized ±1 K	Stabilized ±1K
	290–293-K range	297-K range	299–301-K range	292-K
Pressures	Bourdon manometer	Bourdon and transducer	Piezoresistive transducer	Sedeme transducer
	±0.1-atm precision	±0.1-atm precision	±0.3-atm precision	±0.1-atm precision
	15–20-atm range	1–22-atm range	10–40-atm range	10–60-atm range
Studied region	3900–4600 cm⁻¹	3900–4600 cm⁻¹	3750–3900 cm⁻¹	3750–3850 cm⁻¹

\|Δσ\| (cm⁻¹)	χ(Δσ)
\|Δσ\| < 3	1
3 < \|Δσ\| < 150	1.084 exp(−0.027\|Δσ\|)
150 < \|Δσ\| < 300	0.208 exp(−0.016\|Δσ\|)
300 < \|Δσ\|	0.025 exp(−0.009\|Δσ\|)

Upper Level of Vibrational Transitions	Calculated Frequency (cm⁻¹)	Measured Frequency (cm⁻¹)	Measured Intensity (10⁻⁶ cm⁻² amagat⁻²)
30⁰0_III	3942.54	3942	7 ± 2
30⁰0_II	4064.27	4060	5 ± 1
30⁰0_I	4225.01	4220^a	0.6 ± 0.3
11¹1_II	4247.70	4250^a	0.2 ± 0.1
10⁰0_II + 01¹1_I	4289.42	4278	1.3 ± 0.5
10⁰0_I + 01¹1_I	4392.20	$\begin{array}{l} 4383 \\ 4383 \end{array}}$	2.5 ± 0.5
11¹1_I	4390.62	$\begin{array}{l} 4383 \\ 4383 \end{array}}$	2.5 ± 0.5
00⁰2_I	4673.32	4680	14 ± 5

Apparatus	Group
Apparatus	St. Petersburg	Rennes	Orsay
Spectrometer	Grating at first order	Fourier transform (Bruker HR120)	Fourier transform (Bruker IFS 66V)	Grating at first order
	Ge low-pass filter	3900–4600-cm⁻¹ filter	No filter	Ge low-pass filter
	3.0-cm⁻¹ resolution	0.1-cm⁻¹ resolution	0.5-cm⁻¹ resolution	4.0-cm⁻¹ resolution
Source	Halogen tungsten lamp	Halogen tungsten lamp	Glow bar	Glow bar
Detector	Room temperature PbS	Liquid nitrogen InSb	Liquid nitrogen InSb	Liquid nitrogen InSb
Cell	4-m-long multipass	2-m-long multipass	3-m-long single pass	7-cm-long single pass
	32–482-m paths	120-m paths	3-m paths	7-cm paths
	Stainless steel	Stainless steel	Stainless steel	Titanium
	CaF₂ windows	CaF₂ windows	Sapphire windows	Sapphire windows
Temperatures	Stabilized ±1 K	Stabilized ±0.5 K	Stabilized ±1 K	Stabilized ±1K
	290–293-K range	297-K range	299–301-K range	292-K
Pressures	Bourdon manometer	Bourdon and transducer	Piezoresistive transducer	Sedeme transducer
	±0.1-atm precision	±0.1-atm precision	±0.3-atm precision	±0.1-atm precision
	15–20-atm range	1–22-atm range	10–40-atm range	10–60-atm range
Studied region	3900–4600 cm⁻¹	3900–4600 cm⁻¹	3750–3900 cm⁻¹	3750–3850 cm⁻¹

\|Δσ\| (cm⁻¹)	χ(Δσ)
\|Δσ\| < 3	1
3 < \|Δσ\| < 150	1.084 exp(−0.027\|Δσ\|)
150 < \|Δσ\| < 300	0.208 exp(−0.016\|Δσ\|)
300 < \|Δσ\|	0.025 exp(−0.009\|Δσ\|)

Abstract

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Applied Optics