Raman Laser Spectrometer: Application to 12 C / 13 C Isotope Identiﬁcation in CH 4 and CO 2 Greenhouse Gases

Featured Application: The Developed Raman Laser Gas Spectrometer is Suitable for Detection of Carbon Isotopologues of Methane and Carbon Dioxide in Human Exhalation. Abstract: A compact Raman laser gas spectrometer is developed. It comprises a high-power green laser at 532.123 nm as an excitation source and a specially designed gas cell with an internal volume of less than 0.6 cm 3 that can withstand gas pressures up to 100 atm. The resolution of the spectrometer is ~1 cm − 1 . The Raman spectra of chemically pure isotopically enriched carbon dioxide ( 12 CO 2 , 13 CO 2 ) and methane ( 12 CH 4 , 13 CH 4 ) gases are studied. The expected limit of detection (LOD) is less than 100 ppm for the isotopologues of CO 2 and less than 25 ppm for those of CH 4 (at a gas pressure of 50 atm.), making the developed spectrometer promising for studying the sources of emissions of greenhouse gases by resolving their isotopologue composition. We also show the suitability of the spectrometer for Raman spectroscopy of human exhalation.


Introduction
Nowadays, the concentration of greenhouse gases (such as carbon dioxide (CO 2 ), methane (CH 4 ), nitrous oxide (N 2 O), etc.) in the atmosphere is increasing due to the anthropogenic emissions. Thus, there is a need to determine the anthropogenic contribution against the natural background and to recognize emissions from various industries [1][2][3]. One possibility for doing this is via the carbon isotope ( 12 C and 13 C) ratio measurements of carbon dioxide (CO 2 ) and methane (CH 4 ) in the atmospheric air [4,5].
So far, the isotope ratio Raman spectroscopy of CO 2 has been addressed in several research works. In [6], the authors have found a way for determining the isotope-delta values (the relative difference of

Materials and Methods
This study is dedicated to the development of a compact Raman laser gas spectrometer suitable for the analysis of gases under high pressures. The details of the spectrometer are described in Section 3.
The isotopically enriched carbon dioxide ( 12 CO 2 , 13 CO 2 ) and methane ( 12 CH 4 and 13 CH 4 ) gases were studied. The CO 2 gases were provided by PA EXP, Ltd. (Russia) and the CH 4 ones by Cambridge Isotope Laboratories (USA). The chemical purity (CP) and carbon isotopic enrichment (δC) of the studied gases are specified in Table 1 (provided by the suppliers). The chemical purity shows the molar content of the main gas component and equals to 100% minus the total content of impurities (e.g., N 2 , O 2 , Ar, CO, etc.). It is measured by gas chromatography-mass spectrometry (GC-MS). The carbon isotopic enrichment shows the content of the target isotopologue in the main gas component and it is measured by isotope-ratio mass spectrometry (IRMS). The gas temperature was 293 K. This work also includes the study of human exhalation. All subjects gave their informed consent for inclusion before they participated in the study. The study was conducted in accordance with the Declaration of Helsinki, and the protocol was approved by the Ethics Committee of ITMO University (project RFMEFI57518X0180).

Excitation Source
The scheme of the spectrometer is shown in Figure 1. As the excitation source, we employed a continuous-wave diode-pumped solid-state laser (MSL-R-532, CNI-Lasers) emitting~5 W of linearly polarized output at a wavelength of 532.123 nm with a full-angle divergence of 1.5 mrad, the beam quality parameter M 2 x,y < 1.1 (TEM 00 mode) and a laser linewidth of <1 pm (~0.03 cm −1 ). The excitation beam was expanded using a ×7 Vega laser beam expander (λ = 532 nm, Edmund Optics) and focused into the gas cell using a specially designed doublet lens with a focal length f = 55.9 mm with both sides coated in antireflection (AR) coating at 532 nm. The measured spot size in the focus was less than 10 µm (diameter, as measured by the optical knife method). The peak on-axis laser intensity was then about~10 MW/cm 2 . More details about the focusing system can be found elsewhere [30].
Appl. Sci. 2020, 10, x FOR PEER REVIEW 3 of 12 studied gases are specified in Table 1 (provided by the suppliers). The chemical purity shows the molar content of the main gas component and equals to 100% minus the total content of impurities (e.g., N2, O2, Ar, CO, etc.). It is measured by gas chromatography-mass spectrometry (GC-MS). The carbon isotopic enrichment shows the content of the target isotopologue in the main gas component and it is measured by isotope-ratio mass spectrometry (IRMS). The gas temperature was 293 K. This work also includes the study of human exhalation. All subjects gave their informed consent for inclusion before they participated in the study. The study was conducted in accordance with the Declaration of Helsinki, and the protocol was approved by the Ethics Committee of ITMO University (project RFMEFI57518X0180).

Excitation Source
The scheme of the spectrometer is shown in Figure 1. As the excitation source, we employed a continuous-wave diode-pumped solid-state laser (MSL-R-532, CNI-Lasers) emitting ~5 W of linearly polarized output at a wavelength of 532.123 nm with a full-angle divergence of 1.5 mrad, the beam quality parameter M 2 x,y < 1.1 (TEM00 mode) and a laser linewidth of <1 pm (~0.03 cm −1 ). The excitation beam was expanded using a ×7 Vega laser beam expander (λ = 532 nm, Edmund Optics) and focused into the gas cell using a specially designed doublet lens with a focal length f = 55.9 mm with both sides coated in antireflection (AR) coating at 532 nm. The measured spot size in the focus was less than 10 μm (diameter, as measured by the optical knife method). The peak on-axis laser intensity was then about ~10 MW/cm 2 . More details about the focusing system can be found elsewhere [30]. (a) Scheme of the Raman gas spectrometer: 1-excitation laser, 2-lens expander, 3focusing lens, 4-gas cell, 5-laser radiation absorber, 6-collecting lens, 7-notch filter, 8-focusing lens, 9-spectrometer, 10-computer; (b) system for attenuation and optical alignment of the laser beam: P1 and P2-polarizers, WP-half-wave plate, M1, M2-highly reflective (HR) mirrors. (a) Scheme of the Raman gas spectrometer: 1-excitation laser, 2-lens expander, 3-focusing lens, 4-gas cell, 5-laser radiation absorber, 6-collecting lens, 7-notch filter, 8-focusing lens, 9-spectrometer, 10-computer; (b) system for attenuation and optical alignment of the laser beam: P1 and P2-polarizers, WP-half-wave plate, M1, M2-highly reflective (HR) mirrors.
Prior to the beam expanding system, we installed a system based on a pair of crossed polarizers (P1 and P2) and a λ/2 waveplate and a Faraday rotator placed between them. It prevented back-scattered light from damaging the excitation laser. In addition, a pair of flat highly reflective (HR) mirrors was used to precisely align the focal spot position in the gas cell, Figure 1b.

High-Pressure Gas Cell
A special gas cell made of titanium was developed, as shown in Figure 2. It was designed to work with gases in a limited volume with high pressure. The internal volume was only 0.57 cm 3 . To prevent reflections and light scattering, the internal surfaces of the gas cell were coated with an anti-glare enamel. The two optical windows for the excitation and scattered beams were made of K8 optical glass. The detection was at 90 • to the optical axis of the laser beam. The gas cell can withstand pressures up to~100 atm. Note that CO 2 passes from the gaseous to liquid phase at a pressure of~60 atm.
Appl. Sci. 2020, 10, x FOR PEER REVIEW 4 of 12 Prior to the beam expanding system, we installed a system based on a pair of crossed polarizers (P1 and P2) and a λ/2 waveplate and a Faraday rotator placed between them. It prevented backscattered light from damaging the excitation laser. In addition, a pair of flat highly reflective (HR) mirrors was used to precisely align the focal spot position in the gas cell, Figure 1b.

High-Pressure Gas Cell
A special gas cell made of titanium was developed, as shown in Figure 2. It was designed to work with gases in a limited volume with high pressure. The internal volume was only 0.57 cm 3 . To prevent reflections and light scattering, the internal surfaces of the gas cell were coated with an antiglare enamel. The two optical windows for the excitation and scattered beams were made of K8 optical glass. The detection was at 90° to the optical axis of the laser beam. The gas cell can withstand pressures up to ~100 atm. Note that CO2 passes from the gaseous to liquid phase at a pressure of ~60 atm.

Figure 2.
The scheme of the high-pressure gas cell: 1-nut rings, 2-polytetrafluoroethylene (PTFE) gaskets, 3-input window for passing the excitation light, 4-useful volume for the studied gas, 5output window for collection of the scattered light.
The thickness of the optical windows was determined based on the calculations of the stress and displacement fields in the windows using the SolidWorks software, as shown in Figure 3a-d. The ultimate stress for both windows was assumed to be below the elastic limit of the K8 glass, ~40 MPa, as shown in Figure 3e. Under these conditions, the minimum thickness of the windows is 8 mm with a deviation from flatness of 2 μm when exposed to a pressure of 100 atm. We have selected the thickness of 8 mm for both windows. The clear aperture (diameter) of the windows was ~10 mm (for the excitation beam) and 15 mm (for the scattered light). The input window was AR coated for 532 nm and the output one for 420-680 nm. The calculated fraction of the collected Raman signal determined by the geometry of the gas cell is 11%. The thickness of the optical windows was determined based on the calculations of the stress and displacement fields in the windows using the SolidWorks software, as shown in Figure 3a-d. The ultimate stress for both windows was assumed to be below the elastic limit of the K8 glass, 40 MPa, as shown in Figure 3e. Under these conditions, the minimum thickness of the windows is 8 mm with a deviation from flatness of 2 µm when exposed to a pressure of 100 atm. We have selected the thickness of 8 mm for both windows. The clear aperture (diameter) of the windows was~10 mm (for the excitation beam) and 15 mm (for the scattered light). The input window was AR coated for 532 nm and the output one for 420-680 nm. The calculated fraction of the collected Raman signal determined by the geometry of the gas cell is 11%.
Appl. Sci. 2020, 10, x FOR PEER REVIEW 5 of 12  in (a,c) the input window of the gas cell and (b,d) the output window used for collection of the scattered light. The gas pressure is 100 atm; (e) calculated maximum stress in the window vs. its thickness, the dashed line represents the elastic limit of the K8 glass (the window material). The grain structure in (a-d) represents the mesh used in the simulations.
The gas cell was equipped with a gas inlet and an outlet. First, a backing vacuum pump was connected to the outlet valve and the cell was evacuated to the pressure of 10 −3 mm Hg. Then, the inlet valve was opened and the cell was filled in with the studied or reference gas. After the measurement, we released the gas into the evacuation system through the outlet valve.

Spectrometer
The scattered light was collected using an achromatic doublet lens (f = 55.9 mm) AR-coated for 420-680 nm. The Rayleigh scattered light was filtered out using a pair of notch filters (attenuation at 532 nm: ×10 −12 ). Another achromatic doublet lens (f = 80.6 mm) was used to reimage the scattered light at the input slit of the spectrometer. It had the same AR coating as for the collecting lens.
The spectrometer was based on a Czerny-Turner scheme. A diffraction grating with 1800 grooves per mm with a blazing wavelength of 500 nm was used. Its spectral efficiency at 330-860 nm exceeded 40%. The linear dispersion of the system was 1.52 nm/mm and the spectral resolution (the instrumental linewidth, full width at half maximum (FWHM)) was 0.05 nm. The reproducibility of the wavelength setting was 0.03 nm. To find a compromise between the spectral resolution and the signal-to-noise (SNR) ratio, the width of the entrance slit was~20 µm during the experiments. For detecting the spectra, we used a complementary metal-oxide-semiconductor (CMOS) camera (Hamamatsu) with a 2048 × 122 pixel 2 grid (pixel size: 12 × 12 µm). It was cooled by a Peltier element to −40 • C. The exposure time varied from 10 µs up to 10 min. The projected spectral range was as long as 35 nm (0.017 nm per pixel). It was possible to shift this range within the interval 530-635 nm. More details can be found in [31].
The wavelength grading was performed using an Hg-He arc-discharge spectral lamp (DRGS-12). The calibration of the Raman spectrometer was performed using a certified reference material of toluene with a known Raman spectrum [32]. The determined relative standard deviation (∆ rel ) between the measured and standard peak Raman shifts of toluene was <0.01% for the range of Raman shifts of 1000-3300 cm −1 (for λ exc = 532.123 nm). The spectral resolution of the spectrometer was~1 cm −1 (the instrumental linewidth, FWHM). The measurements were performed at room temperature (293 K).

Spectroscopy of 12 C/ 13 C Isotopologues
The study of greenhouse gas mixtures containing the gases of interest (i.e., carbon dioxide and methane) requires a preliminary study of the reference gases with high chemical and isotopic purity.
The Raman spectra of the carbon isotopologues of carbon dioxide and methane are known. Here, we briefly describe and interpret the measured spectra.
are much weaker ones assigned as ν1 + ν2 -ν2 (1410 cm −1 for 12 C, for 13 C, it overlaps with the ν1 line) and 3ν2 -ν2 (1266/1248 cm −1 for 12 C/ 13 C, respectively). The easiest attribution of the carbon isotopologues of CO2 is according to the ν1 and 2ν2 diad, the wavenumber shift between the corresponding lines for the 12 CO2 and 13 CO2 molecules is ~18-19 cm −1 . The Raman lines of isotopologues of carbon dioxide are easily detectable even at low gas pressure (1 atm.) using isotopically-enriched gases. The Raman spectra of the 12 CH4 isotopologue have been systematically studied. Much less information is present about the second most abundant natural isotopologues, 13 CH4 [34]. Only recently have several studies focused on filling in this gap [35]. CH4 has tetrahedral symmetry (point group Td) with four normal modes of vibration. They are labeled by irreducible representations of the Td point group. The fundamental frequencies exhibit a simple relation, ν1(A1) ≈ ν3(F2) ≈ 2ν2(E) ≈ 2ν4(F2). It leads to the so-called polyad structure in the Raman and infrared (IR) spectra [36]. A polyad Pn gathers all vibrational states (ν1, ν2, ν3 and ν4) satisfying the condition n = 2(υ1 + υ3) + υ2 + υ4, where υi are the vibrational quantum numbers for i-th (i = 1, 2, 3, 4) mode. Each set of {υi} defines a vibrational level. The pentad P2 corresponds to five vibrational levels: 2ν4, ν2 + ν4, 2ν2, ν1 and ν3. The lines in the Raman spectra corresponding to the pentad of methane are observed at ~3000 cm −1 and they can be used for detection of isotopologues of CH4.
The Raman spectra of isotopologues of methane around ~3000 cm −1 have a rich structure due to the complex vibration-rotation polyad interaction. The most intense line is observed at ~2919 cm -1 ( 12 CH4) and 2915 cm −1 ( 13 CH4) and is assigned as ν1. The isotope wavenumber shift is only ~4 cm −1 . This line is well detected even at low gas pressure and short exposure, as shown in Figure 4b. Other prominent lines are those at ~3024 cm −1 ( 12 CH4) and 3011 cm −1 ( 13 CH4), showing higher isotope wavenumber shift whilst showing much lower intensity.
The spectra from Figure 4 were analyzed to determine the limit of detection (LOD) for each of the gases, as shown in Table 2.  The Raman spectra of the 12 CH 4 isotopologue have been systematically studied. Much less information is present about the second most abundant natural isotopologues, 13 CH 4 [34]. Only recently have several studies focused on filling in this gap [35]. CH 4 has tetrahedral symmetry (point group T d ) with four normal modes of vibration. They are labeled by irreducible representations of the T d point group. The fundamental frequencies exhibit a simple relation, ν 1 (A 1 ) ≈ ν 3 (F 2 ) ≈ 2ν 2 (E) ≈ 2ν 4 (F 2 ). It leads to the so-called polyad structure in the Raman and infrared (IR) spectra [36]. A polyad P n gathers all vibrational states (ν 1 , ν 2 , ν 3 and ν 4 ) satisfying the condition n = 2(υ 1 + υ 3 ) + υ 2 + υ 4 , where υ i are the vibrational quantum numbers for i-th (i = 1, 2, 3, 4) mode. Each set of {υ i } defines a vibrational level. The pentad P 2 corresponds to five vibrational levels: 2ν 4 , ν 2 + ν 4 , 2ν 2 , ν 1 and ν 3 . The lines in the Raman spectra corresponding to the pentad of methane are observed at~3000 cm −1 and they can be used for detection of isotopologues of CH 4 .
The Raman spectra of isotopologues of methane around~3000 cm −1 have a rich structure due to the complex vibration-rotation polyad interaction. The most intense line is observed at~2919 cm −1 ( 12 CH 4 ) and 2915 cm −1 ( 13 CH 4 ) and is assigned as ν 1 . The isotope wavenumber shift is only~4 cm −1 . This line is well detected even at low gas pressure and short exposure, as shown in Figure 4b. Other prominent lines are those at~3024 cm −1 ( 12 CH 4 ) and 3011 cm −1 ( 13 CH 4 ), showing higher isotope wavenumber shift whilst showing much lower intensity.
The spectra from Figure 4 were analyzed to determine the limit of detection (LOD) for each of the gases, as shown in Table 2.  pressures in the range of 1-9 atm., keeping the same exposure time of 60 s. The resulting LOD values (according to the 1388 cm −1 Raman line) are shown in Figure 5. The data agree well with the LOD ~ 1/p law, yielding an estimation of the limit of detection at the maximum available gas pressure (50 atm.) of 227 ppm (for 60 s exposure). Note that particularly for CO2 at high pressures (>50 atm.), it was pointed out in [10] that the exponential law better describes the dependence of the Raman signal on the gas pressure. Further studies are thus required at such elevated pressures.  First, the Raman intensity at the characteristic Raman shift (ν) was determined both for the signal (I signal ) and noise (I noise ) yielding the useful signal, ∆I signal = I signal − I noise . The room mean square value of the noise, (r.m.s.) noise , was also determined. The noise analysis was performed using the spectra of isotopically enriched gases in the wavenumber range free of Raman lines covering about 1000 cm −1 . The LOD is: here, X vol% is the volume fraction of the studied gas, which is close to 100% for chemically pure isotopically enriched gases, cf. Table 1. The results on the LOD are shown in Table 2, being expressed both in vol% and parts per million (ppm), LOD ppm = 10 4 × LOD vol% . The upper limit for the error in the LOD estimation was determined by analyzing 10 repetitive measurements for the 12 CH 4 gas. The maximum deviation from the average LOD value was~14%.
The LOD can be decreased in two ways. One is the increase in the gas pressure. The limit of detection is proportional to inverse of the gas pressure p, LOD~1/p, see Equation (1). Indeed, the useful Raman signal of a gas is proportional to the gas pressure [37], while the noise level is mostly determined by the detector and thus is independent of the pressure. To confirm this, we have measured the Raman spectra of chemically pure isotopically enriched 12 CO 2 gas at various gas pressures in the range of 1-9 atm., keeping the same exposure time of 60 s. The resulting LOD values (according to the 1388 cm −1 Raman line) are shown in Figure 5. The data agree well with the LOD~1/p law, yielding an estimation of the limit of detection at the maximum available gas pressure (50 atm.) of 227 ppm (for 60 s exposure). Note that particularly for CO 2 at high pressures (>50 atm.), it was pointed out in [10] that the exponential law better describes the dependence of the Raman signal on the gas pressure. Further studies are thus required at such elevated pressures.
Using the data measured at 1 atm., we interpolated the dependences for other gases, as shown in Figure 5 by dashed lines. The corresponding LOD (50 atm.) values are listed in Table 2. In particular, for methane, they are as low as 49 ppm ( 12 CH 4 ) and 26 ppm ( 13 CH 4 ).
Another possible way to improve the LOD is to increase the exposure time, however this approach is of limited use for applications where relatively fast characterization is needed. As an example, we studied the 13 CH 4 gas at a fixed pressure of 1 atm. and an exposure time ∆t in the range of 1-60 s. The Raman spectra obtained for ∆t = 1-30 s are presented in Figure 6a. Longer exposures allow the observation of weak spectral details of the 13 CH 4 pentad. particular, for methane, they are as low as 49 ppm ( 12 CH4) and 26 ppm ( 13 CH4).
Another possible way to improve the LOD is to increase the exposure time, however this approach is of limited use for applications where relatively fast characterization is needed. As an example, we studied the 13 CH4 gas at a fixed pressure of 1 atm. and an exposure time Δt in the range of 1-60 s. The Raman spectra obtained for Δt = 1-30 s are presented in Figure 6a. Longer exposures allow the observation of weak spectral details of the 13 CH4 pentad. The dependence of LOD on the exposure time Δt, plotted in a double-logarithmic scale is shown in Figure 6b. From statistics, it is known that the root mean square (r.m.s.) of an average value is reduced by a factor of N -0.5 with respect to that of a single measurement, where N is the number of measurements, which are averaged. Thus, if Δt0 = 1 s measurement yields a limit of detection of LOD0, any longer measurement with Δt = s × Δt can be represented as a set of s elementary measurements with LOD (Δt) = LOD0 × s −0.5 = LOD0 × (Δt/Δt0) −0.5 . By plotting Figure 6b in a double-logarithmic scale and fitting the experimental points by a linear function, we obtain the slope n of the dependence: In our case, n = −0.54 ± 0.01, which agrees well with the theoretical considerations. By considering both the effects of the increased gas pressure (p = 50 atm.) and the exposure time (Δt = 300 s), we obtained lower-limit estimations of LOD for all four studied gases, cf. Table 2, i.e., <100 ppm for the isotopologues of carbon dioxide and <25 ppm for those of methane.

Towards Applications: Human Exhalation
Raman spectroscopy is well suited for the simultaneous detection of various gases in the analysis of human respiration [38]. Natural carbon isotopes ( 12 C and 13 C) present in human breath can be used to identify various diseases. Carbon isotopes in exhaled CO2 can be a valuable real-time biomarker of cachexia [39] (depletion of the body), associated with the acute phase of the reaction caused by endotoxemia (accumulation of toxic substances in the body). The acute phase reaction causes shifts in stable carbon isotopes in exhaled CO2, which can be used to monitor nutrient metabolism. Isotope mass spectrometry (IRMS) exists to determine CO2 carbon isotopes in human respiration [40]. This method has high accuracy, sensitivity and stability, but it is rather complex, expensive and requires large expenditures on equipment and staff training. There is a less expensive way to detect CO2 isotopes using an isotope-selective non-dispersive infrared spectrometer (NDIRS) [41], but it is only suitable for simple breath tests where a small number of samples is required, for example, to detect The dependence of LOD on the exposure time ∆t, plotted in a double-logarithmic scale is shown in Figure 6b. From statistics, it is known that the root mean square (r.m.s.) of an average value is reduced by a factor of N −0.5 with respect to that of a single measurement, where N is the number of measurements, which are averaged. Thus, if ∆t 0 = 1 s measurement yields a limit of detection of LOD 0 , any longer measurement with ∆t = s × ∆t can be represented as a set of s elementary measurements with LOD (∆t) = LOD 0 × s −0.5 = LOD 0 × (∆t/∆t 0 ) −0.5 . By plotting Figure 6b in a double-logarithmic scale and fitting the experimental points by a linear function, we obtain the slope n of the dependence: In our case, n = −0.54 ± 0.01, which agrees well with the theoretical considerations. By considering both the effects of the increased gas pressure (p = 50 atm.) and the exposure time (∆t = 300 s), we obtained lower-limit estimations of LOD for all four studied gases, cf. Table 2, i.e., <100 ppm for the isotopologues of carbon dioxide and <25 ppm for those of methane.

Towards Applications: Human Exhalation
Raman spectroscopy is well suited for the simultaneous detection of various gases in the analysis of human respiration [38]. Natural carbon isotopes ( 12 C and 13 C) present in human breath can be used to identify various diseases. Carbon isotopes in exhaled CO 2 can be a valuable real-time biomarker of cachexia [39] (depletion of the body), associated with the acute phase of the reaction caused by endotoxemia (accumulation of toxic substances in the body). The acute phase reaction causes shifts in stable carbon isotopes in exhaled CO 2 , which can be used to monitor nutrient metabolism. Isotope mass spectrometry (IRMS) exists to determine CO 2 carbon isotopes in human respiration [40]. This method has high accuracy, sensitivity and stability, but it is rather complex, expensive and requires large expenditures on equipment and staff training. There is a less expensive way to detect CO 2 isotopes using an isotope-selective non-dispersive infrared spectrometer (NDIRS) [41], but it is only suitable for simple breath tests where a small number of samples is required, for example, to detect diseases of the gastrointestinal tract and detect Helicobacter bacteria pylori [42]. This is due to a decrease in the correlation of repeated measurements with longer series of measurements.
A Raman spectrum overview of a human exhalation measured at ambient pressure (1 atm.) is shown in Figure 7a. Its shows several intense Raman peaks at 1285 and 1388 cm −1 (both-12 CO 2 ), 1556 cm −1 (O 2 ), 2328 cm −1 (N 2 ) and 2919 cm −1 ( 12 CH 4 ). By focusing on the spectral range around 1300 cm −1 and applying longer exposure (600 s), we were able to clearly resolve the Raman lines assigned to the isotopologues of carbon dioxide ( 12 CO 2 and 13 CO 2 ). The spectral position of the lines and the isotopoc wavenumber shifts agree well with the data for isotopically enriched gases, cf. Figure 4.
diseases of the gastrointestinal tract and detect Helicobacter bacteria pylori [42]. This is due to a decrease in the correlation of repeated measurements with longer series of measurements.
A Raman spectrum overview of a human exhalation measured at ambient pressure (1 atm.) is shown in Figure 7a. Its shows several intense Raman peaks at 1285 and 1388 cm −1 (both-12 CO2), 1556 cm −1 (O2), 2328 cm −1 (N2) and 2919 cm −1 ( 12 CH4). By focusing on the spectral range around ~1300 cm −1 and applying longer exposure (600 s), we were able to clearly resolve the Raman lines assigned to the isotopologues of carbon dioxide ( 12 CO2 and 13 CO2). The spectral position of the lines and the isotopoc wavenumber shifts agree well with the data for isotopically enriched gases, cf.  The Raman spectra of isotopologues of carbon dioxide were analyzed from the point of view of the LOD in order to confirm the values obtained with the isotopically enriched gases, see Figure 4. Note that the LOD can be calculated for any gas in a gas mixture if its volume fraction Xvol% is known, see Equation (1). The volume fractions of 12 CO2 and 13 CO2 gases in human exhalation depends on different factors, e.g., the time between breathing in and out [43,44]. We used the mean values of 4 vol% 12 CO2 and 0.04 vol% 13 CO2. Based on these volume fractions and the measured Raman spectra, as shown in Figure 7b, we have determined the LOD to be 225 ppm ( 12 CO2) and 75 ppm ( 13 CO2) at a gas pressure of 1 atm. and an exposure time of 600 s. These values agree well with the analysis performed in Table 2, considering the difference in the exposure time.

Conclusions
To conclude, we have developed a sensitive and compact Raman laser spectrometer suitable for analyzing gas mixtures containing relevant greenhouse gases such as carbon dioxide and methane. In particular, it is capable of identifying the contributions of carbon isotopologues, such as 12 CO2/ 13 CO2 and 12 CH4/ 13 CH4. The features of the developed spectrometer result in a specially designed gas cell with the following advantages: (i) it can withstand high gas pressures (up to 100 atm.), (ii) it has a relatively small internal volume of ~0.6 cm 3 , relaxing the requirements for sample preparation, and (iii) together with the optical scheme of the spectrometer, it ensures good collection efficiency for the scattered light and, thus low limits of detection (LODs) for the studied gases. By studying isotopically-enriched 12 CO2/ 13 CO2 and 12 CH4/ 13 CH4 gases, we estimated easily accessible LODs of less than 100 ppm for the isotopologues of carbon dioxide and less than 25 ppm for those of methane. We also show the proof-of-the-concept of the suitability of the developed spectrometer for studying human exhalation.
Further work will focus on developing a gas analyzer using calibrated gas mixtures. Such Raman gas spectrometers and gas analyzers are promising for studies of sources of pollution in the atmosphere, combustion processes and human exhalation.
Potentially, the developed Raman gas spectrometer can be used for analyzing virus structures in human exhalation. The Raman spectra of isotopologues of carbon dioxide were analyzed from the point of view of the LOD in order to confirm the values obtained with the isotopically enriched gases, see Figure 4. Note that the LOD can be calculated for any gas in a gas mixture if its volume fraction X vol% is known, see Equation (1). The volume fractions of 12 CO 2 and 13 CO 2 gases in human exhalation depends on different factors, e.g., the time between breathing in and out [43,44]. We used the mean values of 4 vol% 12 CO 2 and 0.04 vol% 13 CO 2 . Based on these volume fractions and the measured Raman spectra, as shown in Figure 7b, we have determined the LOD to be 225 ppm ( 12 CO 2 ) and 75 ppm ( 13 CO 2 ) at a gas pressure of 1 atm. and an exposure time of 600 s. These values agree well with the analysis performed in Table 2, considering the difference in the exposure time.

Conclusions
To conclude, we have developed a sensitive and compact Raman laser spectrometer suitable for analyzing gas mixtures containing relevant greenhouse gases such as carbon dioxide and methane. In particular, it is capable of identifying the contributions of carbon isotopologues, such as 12 CO 2 / 13 CO 2 and 12 CH 4 / 13 CH 4 . The features of the developed spectrometer result in a specially designed gas cell with the following advantages: (i) it can withstand high gas pressures (up to 100 atm.), (ii) it has a relatively small internal volume of~0.6 cm 3 , relaxing the requirements for sample preparation, and (iii) together with the optical scheme of the spectrometer, it ensures good collection efficiency for the scattered light and, thus low limits of detection (LODs) for the studied gases. By studying isotopically-enriched 12 CO 2 / 13 CO 2 and 12 CH 4 / 13 CH 4 gases, we estimated easily accessible LODs of less than 100 ppm for the isotopologues of carbon dioxide and less than 25 ppm for those of methane. We also show the proof-of-the-concept of the suitability of the developed spectrometer for studying human exhalation.
Further work will focus on developing a gas analyzer using calibrated gas mixtures. Such Raman gas spectrometers and gas analyzers are promising for studies of sources of pollution in the atmosphere, combustion processes and human exhalation.
Potentially, the developed Raman gas spectrometer can be used for analyzing virus structures in human exhalation.