Journal of Quantitative Spectroscopy and Radiative Transfer
Volume 118, March 2013, Pages 49-59
An improved empirical line list for methane in the region of the 2ν3 band at 1.66 μm
Abstract
The absorption spectrum of methane is recorded at room temperature by differential absorption spectroscopy (DAS) in the high energy part of the tetradecad (5855–6183 cm−1) dominated by the 2ν3 band at 1.66 μm. An empirical list of 9228 lines is constructed from a profile fitting of the very congested spectrum. The achieved noise equivalent absorption of the spectra (αmin×ばつ10−7 cm−1) allowed us to add about 4000 lines to the recent empirical list constructed in relation with the project "Greenhouse Gases Observing Satellite" (Nikitin A, Lyulin O, Mikhailenko S, Perevalov V, Filippov N, Grigoriev I, et al. GOSAT-2009 methane spectral list in the 5550–6236 cm−1 range. J Quant Spectrosc Radiat Transfer 2010;111:2211–24). Lines due to the 13CH4 and CH3D isotopologues present in the methane sample in "natural" abundance (0.011 and ×ばつ10−4, respectively) are systematically identified by comparison with spectra of pure CH3D and 13CH4 recorded separately. In order to derive empirical values of the lower state energy level, Eemp, from the intensity ratios of the lines measured at 80 K and 296 K, the obtained 296 K line list is combined with the WKMC list of methane at 80 K (Campargue A, Leshchishina O, Wang L, Mondelain D, Kassi S, Nikitin AV. Refinements of the WKMC empirical line lists (5852–7919 cm−1) for methane between 80 K and 296 K. J Quant Spectrosc Radiat Transfer 2012;113:1855–73). Overall 4396 lower state energy values were determined extending significantly the previous set of Eemp values derived using the GOSAT list for the room temperature dataset. These improvements allow for a better accounting of the methane spectrum temperature dependence between 80 K and 300 K. A number of discrepancies between the rovibrational assignments included in the GOSAT list and our derived Eemp values is discussed. The new line dataset including a large number of empirical lower state energies provides a solid basis for future theoretical modeling of the tetradecad of 12CH4.
Highlights
► New absorption spectra of methane at 296 K in the 2ν3 region have been recorded. ► An empirical list of 9228 lines at 296 K is constructed including about 4000 new lines. ► The 2-temperature method is applied to this list combined to the WKMC list at 80 K. ► 4396 empirical lower state energy values are determined. ► The obtained results improve significantly the GOSAT list in the region.
Introduction
We have recently constructed empirical lists at 80±3 K and 296±3 K for methane in "natural" isotopic abundance in the 5852–7919 cm−1 region for applications in planetary and Earth atmospheric science, respectively [1], [2]. The positions and intensities included in the WKMC (Wang, Kassi, Mondelain, Campargue) lists were obtained from spectra recorded at 80 K and room temperature by (i) differential absorption spectroscopy (DAS) in the high energy part of the tetradecad (5852–6195 cm−1) [1], [3], [4] and in the icosad (6717–7589 cm−1) [5], [6], [7], [8] and (ii) high sensitivity CW-Cavity Ring Down Spectroscopy (CRDS) in the 1.58 μm [9], [10], [11], [12], [13] and 1.28 μm [14] transparency windows (6165–6750 cm−1 and 7541–7919 cm−1, respectively). The WKMC lists in Refs. [1], [2] include about 43,000 and 46,420 lines at 80 K and 296 K, respectively. The "two temperature (2T) method" [15], [16] which consists in deriving empirical values of the lower state energy level, Eemp, from the ratio of the line intensities measured at 80 K and 296 K, has provided Eemp values for about 24,000 transitions in common in the two datasets. This set of Eemp values allowed us to satisfactorily account for the temperature dependence of the methane absorption between 80 K and 300 K. The obtained lists have already been successfully applied to a large range of temperature conditions existing on Titan [2], [17], [18], Pluto [19], Uranus [20], Saturn [21] and Jupiter [21].
The 5852.5–6165.7 cm−1 interval of the tetradecad at 296 K is the only region for which we did not construct a new list at 296 K because the GOSAT list of methane constructed in relation with the Greenhouse gases Observing SATellite (GOSAT) project was available [22] (see Fig. 1). The GOSAT list was obtained from FTS measurements in the 5550–6236 cm−1 region. In the 5852.5–6165.7 cm−1 interval in common with the WKMC list, the GOSAT list provides 5110 lines at 296 K while our DAS list at 80 K includes 7797 lines. Three thousand eighty three Eemp values were derived by applying the 2T-method to the GOSAT intensities at 296 K and our DAS intensities at 80 K [1], leaving without known temperature dependence about 2000 (40%) and 4700 (60%) line intensities at 296 K and 80 K, respectively. The lines left without empirical value of their lower state energy are those measured only at 80 K or at 296 K. Even if these "single lines" are weak or super weak (they represent only a few percent of the total absorption), it is desirable to determine their lower state energy levels.
Fig. 1 shows an overview of the GOSAT list from Ref. [22]. The weakest lines have an intensity on the order of ×ばつ10−26 cm/molecule but a large number of line intensity values are obviously rounded values such as ×ばつ10−25, ×ばつ10–25 up to ×ばつ10–24 cm/molecule (see the corresponding aligned dots on Fig. 1) indicating that they are estimate values with large uncertainties. These inaccurate intensities have a direct impact on the retrieval quality of the lower state energy computed by the 2T-method.
In order to improve our set of Eemp values both in quality and quantity, we decided to construct a higher sensitivity room temperature empirical line list from DAS recordings at 296 K. The gain in sensitivity is expected to allow for new Eemp determinations by providing counterparts at 296 K to the single lines of the 80 K dataset.
After a brief description of the experiment details (Section 2), the positions and intensities at room temperature will be derived and compared to GOSAT list in Section 3. Then in Section 4, lines due to the CH3D and 13CH4 isotopologues present in "natural" abundance in the methane sample will be systematically identified. The set of Eemp values will be derived by the 2T-method in Section 5 and compared, to the results previously obtained [1], [22].
Section snippets
Experiment
The high sensitivity absorption spectrum of methane was recorded at room temperature by differential absorption spectroscopy between 5855 and 6183 cm−1 (1.71–1.62 μm). The experimental setup has been described in details in Ref. [16]. Briefly, a series of 14 DFB fibered diode lasers (20 mW butterfly mounted, by NEL) is used as light sources allowing for a continuous coverage of the 5855–6183 cm−1 range. Each DFB laser diode is tuned over about 30 cm−1 by a slow temperature scan from −10 to 60 °C
Line intensity retrieval
The line centers and intensities were determined using an interactive least squares multi-line fitting program assuming a Voigt profile (http://sourceforge.net/projects/fityk/ version v 1.1.1). Note that the DFB line width (10 MHz at most) is much smaller than the Doppler broadening [350 MHz HWHM] and therefore neglected. The width of the Gaussian component was fixed to the theoretical value of the Doppler width of 12CH4. Considering the low pressure of the recordings, the pressure broadening is
Isotopologue identification
Contrary to the methane transparency windows where the contribution of the minor isotopologues (13CH4 and CH3D) may largely exceed their relative abundance [10], [11], [16], in the considered region of strong absorption, the 13CH4 and CH3D contributions scale roughly according to their respective relative abundances.
The 13CH4 transitions of our methane list were marked one by one by comparing with the 13CH4 line list attached to Ref. [27]. This list was constructed from spectra of highly
Determination of the lower state energy
The intensity of an absorption line follows the temperature dependence of the population of the lower state energy given by the Boltzmann law. The Boltzmann factor and then the Eemp lower state energy of a given transition can then be obtained from the ratio of its line intensity at 80 K and 296 K [15], [16]:where and Z are the line intensities and partition functions, respectively, and T0=296 K and T1=80 K in our case. Following previous studies by
Comparison to the GOSAT assignments
Considering the number of interacting vibrational states (14 levels, 60 sublevels), the theoretical modeling of the tetradecad region of methane in the frame of the effective operators approach is a considerable task. This project is in progress but the theoretical approach is not yet able to reproduce the experimental spectrum. Nevertheless, Nikitin et al. [22] could attach a high number of rovibrational assignments to the lines of the GOSAT empirical list. In our region (5855–6183 cm−1), 2279
Conclusion
The positions and strengths at 296 K of 9228 transitions were obtained from the analysis of the spectrum of methane recorded by direct absorption spectroscopy between 5855 and 6183 cm−1. On the basis of line position coincidences, 4396 transitions were found in common with the DAS list at 80 K (list WKMC@80K from Ref. [1]) allowing to determine the corresponding lower state energies by using the 2T-method. Compared to the empirical list constructed in the frame of the GOSAT project [22], the
Acknowledgments
This work is part of the ANR project "CH4@Titan" (ref: BLAN08-2_321467). The support of the Groupement de Recherche International SAMIA (Spectroscopie d'Absorption des Molécules d'Intérêt Atmosphérique) between CNRS (France), RFBR (Russia) and CAS (China) is acknowledged.
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