Journal of Quantitative Spectroscopy & Radiative Transfer 117 (2013) 21–28 Contents lists available at SciVerse ScienceDirect Journal of Quantitative Spectroscopy & Radiative Transfer journal homepage: www.elsevier.com/locate/jqsrt Experimental CO2 absorption coefficients at high pressure and high temperature Stefania Stefani a,n, Giuseppe Piccioni a, Marcel Snels a,b, Davide Grassi a, Alberto Adriani a a b Institute of Astrophysics and Planetary Science, Via Fosso del cavaliere 100, Rome, Italy Institute of Atmospheric Science and Climare, Via Fosso del cavaliere 100, Rome, Italy a r t i c l e i n f o abstract Article history: Received 18 July 2012 Received in revised form 7 November 2012 Accepted 19 November 2012 Available online 27 November 2012 Here we present a laboratory study of CO2 absorption spectra, obtained at high temperatures and pressures, similar to those encountered in the Venusian atmosphere. These spectra have been recorded using a Fourier Transform InfraRed (FT-IR) spectrometer , which is equipped to operate from 800 to 30,000 cm 1 (0:33212:5 mm) with a resolution from 0.06 to 10 cm 1. A dedicated gas cell, designed to support pressures up to 200 bar and temperatures up to 350 1C, has been coupled to the FT-IR. Starting from a realistic vertical pressure–temperature profile of the Venus’ atmosphere, based on measurements performed with atmospheric probes, we have recorded a series of absorption spectra of CO2, varying the pressure and temperature from 1 to 50 bar and from 294 to 650 K. & 2012 Elsevier Ltd. All rights reserved. Keywords: Planetary atmosphere Absorption coefficients Carbon dioxide Radiative transfer Venus 1. Introduction The study of planetary atmospheres is often based on transmission and absorption spectra obtained by space borne instruments. These spectra, mostly in the visible and infrared spectral range, provide a multitude of data, concerning the composition and physical conditions of the atmosphere, the presence of clouds, dynamical processes and surface properties. In order to extract these physical and chemical parameters, a radiative transfer model has to be used, based on spectroscopic parameters and scattering properties of the atmospheric constituents. Presently a wealth of spectroscopic data are present in several databases, such as HIgh-resolution- TRANsmission (HITRAN [1]), HIgh-TEMPerature (HITEMP [2]) CarbonDioxide-Spectroscopy-Databank (CDSD [3]). They provide a suite of parameters for the most common molecular species at typically terrestrial n Corresponding author. E-mail address: [email protected] (S. Stefani). 0022-4073/$ - see front matter & 2012 Elsevier Ltd. All rights reserved. http://dx.doi.org/10.1016/j.jqsrt.2012.11.019 conditions and in combination with theoretical models a satisfactory simulation of the absorption by a planetary atmosphere in pressure and temperature conditions similar to the earth’s atmosphere can be performed. On the contrary, the available molecular parameters and the present theoretical models are insufficient for an accurate simulation of the absorption spectra of gases in extreme conditions. For example, when studying planetary atmospheres at high pressure and temperature, one must take into account pressure induced effects such as line mixing, far wings absorption and collision induced absorption. The dense atmosphere of Venus, consisting for 97% of carbon dioxide, provides an interesting laboratory for studying these processes and testing the efficiency of the radiative transfer models. The study of the absorption properties of CO2 at high pressure and temperature is of fundamental interest for a correct interpretation of the data provided by the VIRTIS (Visible and InfraRed Thermal Imaging Spectrometer) instrument on board the ESA mission Venus Express [4]. VIRTIS provides hyper spectral images of the Venus’ atmosphere covering the spectral range from 0.3 to 5:1 mm. Radiative transfer models used 22 S. Stefani et al. / Journal of Quantitative Spectroscopy & Radiative Transfer 117 (2013) 21–28 to analyze this spectra, need molecular parameters and sophisticated line broadening models in order to calculate the transmission of the dense and hot atmosphere of Venus. It is well known that the carbon dioxide atmosphere is responsible for the greenhouse effect of Venus and inhibits large part of the radiation coming from the surface of reaching space. Apart from this, sulfuric acid clouds form an efficient shield which prevent a direct view of the surface in the visible domain and actually – until the first UV telescope started looking at the planet – the complicated patterns created by the cloud motions were thought to belong to the planetary surface. Carbon dioxide is a strong absorber in the infrared and near infra red part of the spectrum, and observations below the clouds and of the surface is only possible in the so-called ‘‘transparency windows’’ in between the strong absorption bands. Up to now, accurate experimental CO2 absorption coefficients at high pressure and high temperature are missing. The high densities present in the Venus’ atmosphere give rise to different phenomena. First of all, the collisional broadening of the spectral transitions render the spectral line shapes non-Lorentzian. This effect is usually described in terms of far wings or continuum absorption and has been hitherto treated in a semiempirical way. On the other hand , so-called line-mixing or interference of rotational states leads to transfer of intensity from the ‘‘wings’’ of an absorption band to the center wavelengths. From a theoretical point of view a satisfactory model is available to describe line-mixing processes for the CO2 at high pressure and high temperature [5]. This model has been successfully used to simulate a large number of data recorded for high densities and temperatures, including a large number of spectra presented here. A third phenomenon, occurring at high densities is the Collision-Induced Absorption (CIA) [6] which renders active absorption bands which are not allowed in the IR. The present work intends to provide new laboratory data in support of space missions, to make high pressure and temperature spectra of CO2 available to the planetary atmosphere community and might also provide data to the new CIA HITRAN data base [7]. Here we present some of the spectra of CO2 recorded in the spectral range from 800 to 10,000 cm 1 at different combined high pressure and high temperature conditions in order to illustrate some of the main features of a high pressure, high temperature atmosphere, such as collisional broadening, far wing absorption and collision induced absorption bands. With our experimental setup, we recreated the same conditions found in the deep atmosphere of Venus, varying the pressure and temperature according to the Venus International Reference Atmosphere (VIRA) profile [8]. The recorded spectra provide information on the optical properties of CO2 in the Venus’ atmosphere from an altitude of 50 down to 22 Km. 2. Experimental setup The experimental set up consists of a Fourier Transform InfraRed (FT-IR) interferometer (& Bruker model Vertex80) and a commercial high pressure and high temperature gas cell (& AABSPEC, model # 2T-AWT). The FT-IR is equipped with an air-cooled Tungsten lamp emitting in the Visible/Near-InfraRed and a Globar source providing Mid-InfraRed radiation. By combining four different detectors and two different beam splitters, CaF2 and KBr, respectively, the instrument covers the spectral range from 800 to 30,000 cm 1. Inside the sample compartment of the interferometer, the high pressure-high temperature (HP-HT) gas cell, constructed from a single piece of 316 grade stainless steel, was mounted. The cell is composed of three separate compartments and equipped with ZnS windows of 13 mm in diameter and 5 mm in thickness. The window material provides a good transmission in the NIR and MIR spectral range and has excellent mechanical and thermal properties. The central compartment with an optical path of about 2 cm supports pressures up to 200 bar and temperatures up to 650 K. The external compartments are kept at near ambient temperature, by water cooling, and are filled with a low thermal conductivity non-absorbing gas (usually Ar), at the same pressure as the central compartment. In this way the pressure difference with respect to the ambient air is acting on the two external windows at room temperature, while the two internal windows are only exposed to a temperature difference. In order to investigate the spectral range of interest, we used the tungsten lamp, CaF2 beam splitter and the InGaAs detector from 6000 to 10,000 cm 1 and the Globar source, KBr beam splitter and the MCT detector from 800 to 6000 cm 1. Each spectrum results from the addition of 150 scans acquired with a resolution of 2 cm 1. To obtain the CO2 transmittance, we adopted the following procedure: the secondary chambers are water cooled while the primary section is heated up to the target temperature. First all three sections are charged with Ar at the preset pressure and a reference background is recorded. The Ar in the central section is then removed and replaced by CO2 at the same pressure and the absorption spectrum is recorded. This procedure has been applied to all measurements. In these experiments high purity CO2 gas has been used (99.995%). To measure the temperature in the absorption cell and in the buffer sections two type-K thermocouples were used. Two gauges (model EPXT-P0) have been used to measure the pressures of the carbon dioxide and Ar gas. 3. Results and discussion We recreate the same conditions observed in the deep atmosphere of Venus as specified by the Venus International Reference Atmosphere (VIRA) [8]. In order to reproduce a realistic vertical pressure–temperature profile, we varied the pressure and temperature of the CO2 from 1 to 20 bar and from 349 to 565 K, respectively. This corresponds to an altitude from about 50 km down to 22 km (see Fig. 1). Fig. 2 shows how the spectra change shape in different spectral ranges, in function of the altitude on the VIRA profile, from 22 to 32 km. Note how the intensity and the width of the absorption bands increase while going towards the surface of Venus, S. Stefani et al. / Journal of Quantitative Spectroscopy & Radiative Transfer 117 (2013) 21–28 due to the increasing densities and temperatures. While some of the rovibrational structure of the CO2 spectra can still be resolved for pressures up to about 6 bar, for higher densities the line broadening smears out the spectral structure due to collision broadening. All bands displayed in Fig. 2 are due to dipole allowed transitions, and although the shape of the bands changes Fig. 1. Altitude versus pressure according to the VIRA model. CO2 absorption coefficients have been measured for pressures and temperatures corresponding with altitudes of 22–50 km with respect to the surface of Venus. 23 with temperature and pressure, the integrated absorption of each band is expected to be proportional to the number density. In order to verify this behavior, we have calculated the integrated band intensity in different spectral regions, for a range of pressures and temperatures corresponding with the VIRA profile. The linear behavior of the integrated band intensity with density shows that absorption in these spectral ranges is mainly due to allowed absorption bands (see Fig. 3). The straight lines correspond with an integrated band intensity of 1.68 and 0.045 cm 2 atm 1 at 294 K, for the spectral ranges 4750–5200 and 6850–7200 cm 1, respectively, in good agreement with Ref. [9]. A complete list of pressure and temperature values for which the absorption spectra have been recorded can be found in Appendix A. Ascii files of the CO2 absorption coefficients measured can be down loaded from the web site: http://exact.iaps.inaf.it. For any given temperature and pressure the density of a gas can be calculated using more or less approximate methods. The ideal gas law is valid only for low densities, and cannot be used here. The Van der Waals equation provides a better approximation, taking into account the intermolecular forces and providing a correction for finite molecular size and can be written as n2 a p þ 2 ðVnbÞ ¼ nRT V ð1Þ Fig. 2. CO2 absorption spectra at different pressures and temperatures. The pressure and temperature values correspond to an altitude of 32 km down to 22 km, according to the VIRA model. 24 S. Stefani et al. / Journal of Quantitative Spectroscopy & Radiative Transfer 117 (2013) 21–28 Fig. 3. Band integrated area versus density (black squares) and linear fit of the data(line). Note that there is a slight deviation for the highest densities, because a small part of the integrated band intensity is outside of the integration window. where p is the pressure, T the temperature, V the volume and n the number of moles, and R is the ideal gas constant (8.314 J K 1 mol 1), a is a constant that takes into account the intermolecular forces and b provides a correction for finite molecular size. The virial expansion, also called the virial equation of state is the best approximation for solving the equation of state for a real gas. The virial expansion is a power series in (n/V ) and has the form n n 2 pV ¼ 1þ BðTÞ þCðTÞ þ nRT V V ð2Þ where p is the pressure, T the temperature, R is the ideal gas constant and (V /n) is the molar volume. B(T) and C(T) are the second and third order virial coefficients, respectively, and depend on T. For all measurements performed in the present work, the density reported has been obtained from a facility provided by the National Institute of Standards and Technology, which uses the virial expansion up to the third virial coefficient [10]. As stated before, the main goal of this paper is to provide a data base containing the experimental absorption coefficients of carbon dioxide in the spectral range 800– 10,000 cm 1, in particular referred to planetary atmospheres with high pressures and temperatures, similar to the Venus’ atmosphere. In a previous work, a sophisticated model, including line broadening effects, line mixing and far wings, but neglecting collision induced bands, was used to simulate a series of spectra, as recorded experimentally, both by us and the group in Paris, for selected spectral ranges. The model provided excellent results [5] and can be used to extend the experimental data base for different temperatures and pressures. We’ve measured the carbon dioxide spectra for conditions similar to those reported by Seiff et al. [8], (the so-called VIRA model for the Venus’ atmosphere) in order to extrapolate and interpolate between experimental spectra , using the model reported in [5]. For this purpose, while maintaining the CO2 density fixed to that of the VIRA profile, we’ve varied the temperature by 730 1C with respect to the original profile, and calculated the pressure according to Eq. (2). In this way, we have obtained two new profiles of temperature and pressure, as shown in Fig. 4. For each point of this grid, we recorded the CO2 absorption spectra, acquired in the spectral range from 800 to 10,000 cm 1 and with the same experimental parameters as before , i.e resolution 2 cm 1, and 150 scans. In a forthcoming work, the carbon dioxide absorption coefficients, obtained from the data base presented here, eventually interpolated or extrapolated where necessary, will be inserted in a radiative transfer model, in order to compare the calculation with observed VIRTIS spectra. 3.1. Collisional induced absorption (CIA) Carbon dioxide is a linear triatomic molecule that has 3 3 5¼4 normal modes of vibration. The normal modes are conventionally labeled n1 , n2 and n3 , with n2 referring to the degenerate bending mode, n3 is the asymmetric stretching mode and n1 the symmetric stretching mode. While n2 and n3 have a transition dipole moment and S. Stefani et al. / Journal of Quantitative Spectroscopy & Radiative Transfer 117 (2013) 21–28 are thus infrared active, n1 does not possess a transition dipole moment and does not absorb in the infrared. This statement holds for low density, but for higher densities collisions may induce a dipole moment which leads to absorption. This so-called collision induced absorption Fig. 4. The three pressure- temperature profiles, with the same density as the VIRA profile. The black curve is the VIRA profile, the dotted line is obtained decreasing T by 301C and the dash-dot is obtained increasing T by 301C. CO2 absorption coefficients have been recorded for all three profiles. 25 (CIA), being originated by n-body collisions is proportional to the nth power of the density and can be observed already at pressures of about a few bar. By employing our experimental set-up, we observed several absorption bands due to CIA, as can be seen in Fig. 5. According to Baranov and Vigasin [11], who performed an extensive study of the collision induced absorption bands, the band observed in the spectral range [1200–1500] cm 1 is due to the strong Fermi-coupled doublet (n1 , 2n2 ). The spectrum consist of two bands, one at about 1282 cm 1 and the second one at about 1390 cm 1. Different hypotheses have been proposed in order to explain the presence of these bands and their temperature dependence, including that of dimer formation. Vigasin et al. [12], observing CO2 absorption using the Coherent Anti-Stokes Raman Scattering (CARS) technique, assigned a peak at 1284.73 cm 1 to the carbon dioxide dimer. It is clear that at high densities bound or quasi bound complexes may be formed and give rise to absorption, but the hypothesis that dimer absorption alone can be held responsible for the collision induced absorption is questionable. In the first place, dimer spectra are shifted with respect to the (inactive) monomer absorption and thus one would expect to observe a shift. Secondly, one would expect to observe larger clusters as well, having complex structures and spectra. Fig. 5. Collision Induced Absorption (CIA) bands observed at room temperature and different pressures (3, 10, 20, 30 and 40 bar)(panels a and c) and at different temperatures (294, 373 and 473 K) (panels b and d) with a pressure of about 40 bar. 26 S. Stefani et al. / Journal of Quantitative Spectroscopy & Radiative Transfer 117 (2013) 21–28 Fig. 6. The band integrated area vs density evaluated for the spectral range [1200–1500]cm 1 (top) and for [2900–3100] cm 1 (bottom). The squares, stars and triangles correspond to a quadratic dependence on the density. Table A1 List of experimental pressure and temperatures, for which spectra were recorded in the NIR and MIR configurations. The temperatures and pressures are according to the VIRA profile. The first column is the altitude in km. km NIR p (bar) 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 1.12 7 0.01 1.22 7 0.05 1.36 7 0.01 1.50 7 0.01 1.705 7 0.003 1.962 7 0.001 2.27 7 0.01 2.57 7 0.03 2.77 7 0.02 3.093 7 0.001 3.453 7 0.002 3.842 7 0.001 4.400 7 0.001 4.877 7 0.002 5.314 7 0.001 5.842 7 0.001 6.464 7 0.001 7.246 7 0.002 7.808 7 0.003 8.747 7 0.002 9.579 7 0.001 10.583 7 0.003 11.579 7 0.003 12.567 7 0.003 13.656 7 0.002 14.872 7 0.009 16.319 7 0.007 17.694 7 0.005 19.225 7 0.009 MIR T (K) 348.9 7 0.6 358.2 7 0.5 364.6 7 0.3 370.13 7 0.04 375.9 7 0.02 383.1 7 0.1 388.91 7 0.07 395.3 7 0.2 401.9 7 0.1 408.4 7 0.1 415.4 7 0.1 423.14 7 0.09 430.9 7 0.2 438.9 7 0.3 446.8 7 0.1 455.1 7 0.1 463.3 7 0.3 471.3 7 0.2 477.3 7 0.1 488.7 7 0.1 498.4 7 0.2 506.37 0.2 513.7 7 0.2 521.9 7 0.2 530.5 7 0.1 539.04 7 0.08 545.6 7 0.4 556.7 7 0.2 565.1 7 0.4 p (bar) 1.0842 7 0.0008 0.235 7 0.001 1.3567 7 0.0008 1.58 7 0.07 1.7445 7 0.0009 1.9796 7 0.0009 2.250 7 0.001 2.4391 7 0.0009 2.709 7 0.001 3.144 7 0.001 3.469 7 0.001 3.79 7 0.01 4.40 7 0.01 4.823 7 0.003 5.323 7 0.001 5.85 7 0.01 6.647 7 0.001 7.18 7 0.01 7.821 7 0.002 8.706 7 0.001 9.495 7 0.004 10.499 7 0.001 11.494 7 0.002 12.628 7 0.009 13.781 7 0.001 14.980 7 0.004 16.166 7 0.002 17.561 7 0.002 19.284 7 0.003 T (K) 349.25 7 0.07 357.35 7 0.07 364.6 7 0.1 369.85 7 0.8 375.4 7 0.1 381.4 7 0.1 388.61 7 0.09 394.5 7 0.1 401.74 7 0.09 408.4 7 0.2 415.9 7 0.1 423.4 7 0.2 430.9 7 0.3 438.5 7 0.3 446.8 7 0.1 454.1 7 0.2 463.61 7 0.09 471.35 7 0.08 478.3 7 0.1 488.6 7 0.2 497.4 7 0.3 506.3 7 0.1 513.81 7 0.06 523.9 7 0.5 530.5 7 0.4 539.1 7 0.2 546.9 7 0.2 555.7 7 0.2 565.6 7 0.4 S. Stefani et al. / Journal of Quantitative Spectroscopy & Radiative Transfer 117 (2013) 21–28 The integrated intensities of the observed bands depend on the n-th power of the density, which in our measurements is approximately a quadratic dependence versus density, as can be observed in Fig. 6. The limited number of data, in terms of integrated absorption versus density, does not allow to separate quadratic and cubic and higher order dependencies on the densities. A log–log plot of integrated absorption intensity versus density produces a power which is close to two, confirming that the dependence is in good approximation quadratic. 4. Conclusions An extensive set of absorption spectra of CO2 at temperatures and pressures similar to those found in the Venus’ atmosphere has been recorded and is made available to the scientific community. In a previous work a theoretical model including line mixing and a semiempirical model taking into account far wing absorption has been shown to be in excellent agreement with experimental data. In order to facilitate interpolation and/or extrapolation towards different pressures and temperatures, additional CO2 spectra have been recorded at temperatures 30 1C above and below the the VIRA profile. Some collision induced bands have been recorded as well, for different temperatures and pressures. For what concerns the temperature dependence, the intensity of the CIA bands decreases slightly going from 294 K to 473 K and requires further investigations, as well as the study of weaker CIA bands, using longer absorption path Table A2 List of experimental pressure and temperatures, for which spectra were recorded in the NIR and MIR configurations. The temperatures are 30 1C below the VIRA profile. NIR p (bar) 1.187 70.001 1.308 70.001 1.499 70.002 1.680 70.001 1.840 70.001 2.117 70.001 2.425 70.002 2.644 70.001 3.095 70.001 3.373 70.001 3.77 70.03 4.137 70.004 4.627 70.009 5.116 70.004 5.86 70.04 6.312 70.006 6.7 70.2 7.699 70.009 7.469 70.001 8.406 70.003 9.19 70.01 10.026 70.004 11.091 70.002 12.047 70.002 13.254 70.002 14.552 70.009 MIR T (K) 378.7 7 0.03 387.187 0.02 393.937 0.09 399.897 0.05 405.57 7 0.05 411.257 0.1 418.4 7 0.1 424.2 7 0.1 431.387 0.08 438.4 7 0.2 445.957 0.1 453.3 7 0.6 460.7 7 0.6 468 7 1 477.1 7 0.3 485 7 1 493 7 1 501.9 7 0.7 449.3 7 0.1 513.1 7 0.2 518.5 7 0.2 526.8 7 0.2 535.6 7 0.3 543.6 7 0.2 552.6 7 0.3 560.5 7 0.3 p (bar) 1.0842 70.0008 1.2889 70.0008 1.4995 70.0001 1.651 70.001 1.834 70.002 2.111 70.002 2.356 70.003 2.634 70.001 3.004 70.001 3.383 70.006 3.750 70.002 4.210 70.001 4.708 70.003 5.132 70.001 5.729 70.002 6.278 70.007 6.68 70.01 7.734 70.005 7.506 70.002 8.416 70.001 9.253 70.001 10.089 70.001 11.128 70.003 12.138 70.003 13.150 70.001 14.382 70.002 T (K) 378.7 7 0.1 387.237 0.08 394.3 7 0.1 399.947 0.09 406.08 7 0.09 410.19 7 0.04 417.277 0.02 424.827 0.09 432.05 7 0.04 433.2 7 0.2 445.4 7 0.06 452.457 0.002 461.03 7 0.03 468.117 0.03 473.8 7 0.1 483.5 7 0.1 493.537 0.01 498.327 0.05 449.257 0.01 510.1 7 0.2 518.5 7 0.2 526.8 7 0.2 545.5 7 0.5 543.5 7 0.5 552.5 7 0.3 560.6 7 0.3 27 lengths. Future efforts are directed towards the inclusion of our experimental data in a radiative transfer model, in order to improve the accuracy of remote sensing analysis of planetary atmospheres. Acknowledgments The authors acknowledge Angelo Boccaccini for his precious assistance in the experimental work and Dr. Romolo Politi for setting up the web site. We also acknowledge ASI for funding part of the work in the framework of the ASI-projects VENUS-EXPRESS and JIRAM. Appendix A This appendix provides three tables with the experimental pressures and temperatures, corresponding to the VIRA profile (Table A1) and to a modified VIRA profile with a temperature 30 1C below (Table A2) and above (Table A3) the VIRA profile. While maintaining the CO2 density fixed to that of the VIRA profile the pressure has been calculated using Eq. (2). Spectra have been recorded in two configurations, the NIR, employing the tungsten lamp, CaF2 beam splitter and the InGaAs detector from 6000 to 10,000 cm 1 Table A3 List of experimental pressure and temperatures, for which spectra were recorded in the NIR and MIR configuration. The temperatures are 30 1C above the VIRA profile. NIR p (bar) 0.957 70.001 1.136 70.001 1.281 70.001 1.414 70.001 1.840 70.001 1.679 70.007 1.857 70.001 2.112 70.001 2.344 70.002 2.501 70.007 2.947 70.002 3.308 70.003 3.593 70.001 4.003 70.002 4.497 70.001 4.968 70.001 5.208 70.008 6.073 70.005 6.705 70.003 7.469 70.001 8.228 70.003 9.000 70.007 9.895 70.001 10.747 70.004 11.928 70.002 12.914 70.002 14.116 70.002 15.257 70.005 16.614 70.005 18.13 70.01 19.65 70.03 21.10 70.02 22.88 70.02 MIR T (K) 7319.127 0.04 328.7 7 0.1 334.04 7 0.03 336.697 0.02 405.57 7 0.05 344.1 7 0.2 351.547 0.01 357.287 0.01 363.787 0.03 366.9 7 0.1 373.857 0.06 384.1 7 0.1 393.247 0.03 399.357 0.04 408.52 7 0.01 416.977 0.02 424.627 0.02 431.427 0.07 442.227 0.02 449.3 7 0.1 457.9 7 0.1 465.9 7 0.082 475.5 7 0.2 484.0 7 0.4 492.4 7 0.1 500.97 0.1 509.6 7 0.2 517.7 7 0.2 528.1 7 0.3 534.9 7 0.5 542.5 7 0.9 550.1 7 0.8 559.3 7 0.5 p (bar) 0.94 70.07 1.109 70.004 1.27 70.01 1.418 70.02 1.834 70.002 1.638 70.002 1.85 70.01 2.08 70.02 2.318 70.003 2.59 70.03 2.877 70.006 3.243 70.004 3.636 70.004 4.015 7 0.004 4.475 7 0.005 5.004 70.007 5.479 7 0.002 6.081 7 0.006 6.73 70.05 7.371 70.001 8.154 70.001 9.039 70.002 9.890 70.002 10.818 7 0.002 11.71570.002 12.820 70.001 14.17570.001 15.180 70.002 16.72370.006 18.15170.001 19.550 70.001 21.16570.006 22.97770.009 T (K) 319.657 0.7 328.8 7 0.8 334.1 7 0.5 338.6 7 0.2 406.08 7 0.09 344.5 7 0.4 351.7 7 0.2 357.6 7 0.3 364.9 7 0.1 366.9 7 0.8 378.1 7 0.2 385.5 7 0.4 393.1 7 0.4 400.1 7 0.3 408.9 7 0.6 417 7 1 424.6 7 0.1 433.7 7 0.8 436 7 1 449.9 7 0.1 458.79 7 0.06 466.7 7 0.3 474.9 7 0.4 484.0 7 0.0 492.4 7 0.5 500.1 7 0.3 509.25 7 0.05 517.3 7 0.3 525.4 7 0.6 534.297 0.07 542.9 7 0.4 550.2 7 0.5 559.1 7 0.5 28 S. Stefani et al. / Journal of Quantitative Spectroscopy & Radiative Transfer 117 (2013) 21–28 and the MIR, using the Globar source, KBr beam splitter and the MCT detector from 800 to 6000 cm 1. Each spectrum results from the addition of 150 scans acquired with a resolution of 2 cm 1. In Table A1, the first column represents the altitude with respect to the surface. The errors reported for pressure and temperature correspond to statistical errors evaluated as standard deviation of the the pressure and temperature fluctuations during the recording of the spectra. Absolute errors are 71 1C for temperature and 70.5% of the full scale for the pressure gauges. [4] [5] [6] [7] References [8] [1] Rothman LS, Gordon IE, Barbe A, Benner DC, Bernath PE, Birk M, et al. The HITRAN 2008 molecular spectroscopic database. J Quant Spectrosc Radiat Transfer 2009;110:533–72. http://dx.doi.org/10.1016/j.jqsrt. 2009.02.013. [2] Rothman LS, Gordon IE, Barber RJ, Dothe H, Gamache RR, Goldman A, et al. 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