VUV absorption spectra of water and nitrous oxide by a double-duty differentially pumped gas filter

The differentially pumped gas filter of the VUV beamline at the SLS is adapted to record VUV absorption spectra of gaseous samples over a broad photon energy range. Water and nitrous oxide spectra are recorded in proof-of-principle measurements.


Introduction
Photoabsorption, in which condensed matter or isolated species absorb photons and transition to higher-energy states, underpins a multitude of natural and synthetic systems, most notably vision, photosynthesis and photovoltaics.While these rely on the spectral range with the maximum intensity of solar radiation, i.e. on visible light, absorption spectroscopy spans the entire electromagnetic spectrum from microwaves to X-rays.Microwave spectroscopy reveals molecular rotation and, thus, geometries.Room-temperature black-body radiation peaks in the infrared, which is why infrared absorption drives the greenhouse effect.Infrared spectroscopy is a structural analytical tool in the energy range of vibrational excitation.Visible (vis), ultraviolet (UV) and vacuum ultraviolet (VUV) photons have energies that allow for electronic excitation of valence states, potentially leading to ionization above h� > 5 eV photon energy (� < 250 nm).The UV-vis as well as VUV absorption spectra of gaseous molecules of atmospheric interest have been compiled in the eminently useful MPI-Mainz UV/VIS Spectral Atlas (Keller-Rudek et al., 2013).X-ray absorption involves core-excitation states.Thanks to synchrotron and free-electron laser facilities, tender and hard X-ray experiments have provided a wealth of structural information on condensed-state samples (Willmott, 2019).
VUV absorption spectra of gaseous samples give insights into electronic excitations to high-lying valence states, allow the identification of Rydberg states and their progressions, and VUV absorption may lead to photoionization above the ionization energy.In small molecules, vibrational progressions can often be resolved and assigned.Above the ionization energy, the ratio of the photoionization and the photoabsorption cross sections yields the photoionization quantum efficiency, which reveals fundamental mechanistic details.For instance, the water threshold photoelectron spectrum (Truong et al., 2009) and the breakdown diagram of the water cation (Bodi et al., 2014) show that the threshold photoionization cross section jumps fourfold at the H-loss dissociative ionization onset.With no comparable jump discernible in the photoabsorption oscillator strengths (Gu ¨rtler et al., 1977), this implies that the branching ratio to threshold photoionization changes suddenly as the dissociative ionization channel opens up.This identifies a photoionization process beyond the sudden approximation (Melania Oana & Krylov, 2007;Bodi et al., 2017), which is an important aspect regarding photoionization cross-section calculations.VUV absorption spectra are also connected to resonance-enhanced multiphoton ionization experiments, in which the neutral states seen in the absorption spectrum act as intermediate states, resonantly excited in multiphoton ionization (Ashfold et al., 1984;Yang et al., 2010).Beyond fundamental insights into electronic and vibronic structure as well as photoionization transitions, VUV absorption also plays a direct role in environments with a strong VUV radiation field.For instance, black-body radiation peaks in the VUV range at temperatures around 20 000 K. Therefore, VUV absorption plays an important role in plasma physics and in the radiation field of blue stars (Cruz-Diaz et al., 2014).Furthermore, VUV-induced chemistry may also play a role at the edge of the atmosphere (Gao, 2021).In fact, relatively recent data on water vapor in the 6.23-6.85eV energy range, recorded using a hydrogen discharge lamp, continue to influence terrestrial and extraterrestrial atmospheric models (Parkinson & Yoshino, 2003).Generally, the weak absorption of solar radiation by water vapor in the near-UV range between 3.1 and 6.2 eV at characteristic cross sections of 10 À 24 cm 2 is a poorly understood and neglected aspect in atmospheric radiation models leading to errors in the range 0.2-0.8W m À 2 (Makogon et al., 2013;Pei et al., 2019).
In hydrocarbons and oxygenates, VUV absorption is associated with the excitation of � and n electrons into �* and Rydberg orbitals.As � orbitals are sensitive to the molecular structure, VUV absorption spectra can contribute to the identification of polyatomic molecules relevant in lowtemperature combustion and atmospheric chemistry (Doner et al., 2022).Electronic structure theory can be applied to compute these transitions, e.g. for oxygenates (Bralick et al., 2023), whereas Franck-Condon modeling and on-the-fly ab initio semiclassical approaches can be used to simulate the vibrational structure of the spectrum (Patoz et al., 2018).
Measuring VUV absorption spectra in the gas phase can be challenging.There are few laboratory-based light sources that deliver sufficient flux in the VUV.Historically, Hopfieldcontinuum light sources were used (Cook & Metzger, 1964), for instance to record the absorption spectrum of nitrous oxide (N 2 O) in the 12.4-20.7 eV range (Cook et al., 1968).Deuterium lamps can be used in the 5-10 eV range to enable quantitative isomer-resolved speciation measurements of functionalized hydrocarbons in combustion chemistry (Christianson et al., 2021).Machine learning models were also proposed for binary molecular classification using VUV absorption spectra obtained in the laboratory (Doner et al., 2023).Nevertheless, broadband VUV absorption studies have primarily been carried out at synchrotron light sources.These deliver plenty of VUV flux but have stringent vacuum requirements to protect the accelerator.A differential pumping scheme was used together with a 100 nm zapon (cellulose nitrate) film to record the absorption cross sections of rare gases at the Synchrotron Radiation Source (SRS) at Daresbury Laboratory (West & Marr, 1976).Later, a capillary beam guide was utilized for differential pumping when recording the nitrous oxide absorption spectrum in the 12.9-25.6eV range at the SRS (Shaw et al., 1992).Further windowless differentially pumped absorption cells were used to record VUV photoabsorption spectra, for example for water vapor in the 12.4-20.7 eV range at DESY (Gu ¨rtler et al., 1977) and for nitrous oxide in the 5.9-12.4eV range at the National Synchrotron Radiation Research Center (NSRRC) at Hsinchu (Nee et al., 1999).Fillion et al. reported a highresolution water vapor absorption spectrum between 10.9 and 12.0 eV at the LURE-Super-ACO synchrotron (Fillion et al., 2004).Nonetheless, these sources have either been decommissioned or are nearing their end of life, which means that experimental stations where broadband VUV absorption spectra can be recorded above 11 eV (� < 113 nm) are virtually nonexistent.A notable exception is the state-of-theart Fourier transform spectrometer at the DESIRS beamline of SOLEIL, which allows for the measurement of absorption cross sections in a molecular beam and at room temperature in the 4-30 eV photon energy range with a limiting resolution of 0.01 meV (10 À 4 nm at 10 eV) (de Oliveira et al., 2016).This setup has been employed to record the high-resolution absorption spectrum of room-temperature and jet-cooled ammonia between 7.32 and 11.53 eV (Pratt et al., 2023) and that of two dihydrofuran isomers in the 5.5-9.4eV photon energy range (Ro ¨der et al., 2020).
Windowed absorption cells can only reach energies up to 11.3 eV (� > 110 nm) in the VUV because of the absorption edge of the window material, typically LiF or MgF 2 .They are more broadly available and have been used to record a multitude of VUV absorption spectra.Also at the Daresbury light source, a windowed setup was used to measure the VUV absorption spectrum of ozone (Mason et al., 1996).Duflot et al. reviewed synchrotron-based VUV photoabsorption studies of gaseous samples (Duflot et al., 2019), focusing on work done at the ASTRID synchrotron at Aarhus, Denmark, using a windowed absorption cell (Eden et al., 2006).Mota et al. recorded the absorption cross section of water at a resolution of � 4 meV in the 6-11 eV photon energy range there (Mota et al., 2005).More recently, the VUV absorption spectrum of ammonia was recorded in the 5.4-10.8eV range by Lima ˜o-Vieira et al. (2019), and Ovad et al. recorded the VUV absorption spectrum of C 4 F 7 N, a dielectric gas and SF 6 replacement candidate, at the updated ASTRID-2 storage ring also in a windowed cell (Ovad et al., 2023).Finally, VUV absorption spectra have recorded at the AMO beamline of the INDUS(-2) synchrotron with 4 meV resolution and the Rydberg progressions assigned, for example, for N,N-dimethylformamide in the 5.6-9.9eV energy range (Shastri et al., 2017) and for nitromethane in the 5.4-11.8eV range (Shastri et al., 2021).The latter study has since been followed up by further absorption work from ASTRID-2 (Dalagnol et al., 2023).
Alternatively to photoabsorption, electron energy-loss dipole (e, e) spectroscopy can be used to measure oscillator strengths that relate to the absorption cross section directly.The main benefit of (e, e) spectroscopy is its easy implementation.However, it suffers from constraints in spectral resolution, and the accuracy of the data obtained is contingent on the validity of the dipole approximation, which may not always hold.Electron impact coincidence simulation techniques were applied to study absorption, ionization and fragmentation of water in the 10-60 eV energy range using 3.5 keV electrons (Tan et al., 1978).Later, (e, e) spectroscopy yielded water cross sections in the 6-200 eV energy range using 8 keV electrons (Chan et al., 1993).Notwithstanding the broad energy range, the 1 eV resolution means that nearby bands overlap, and the vibrational fine structure of the spectrum remains out of reach.Thus, (e, e) spectroscopy is a worthwhile complementary tool, but it rarely reveals the full richness of the VUV absorption spectrum.For that, direct photoabsorption measurements remain indispensable.
The VUV beamline at the Swiss Light Source (SLS) has a bending magnet source, which requires a large horizontal acceptance and results in a relatively large divergence of the beam at 8 mrad (h) � 4 mrad (v).To provide high-harmonicfree VUV radiation, VUV beamlines often rely on thin films, as recently implemented at FinEstBeAMS at MAX IV (Chernenko et al., 2021).However, particularly in the 10-21 eV range, rare-gas filters are used, which are almost fully transparent below the ionization energy of the rare gas and let virtually no light pass above it.The divergent bending magnet radiation means that the light beam cannot be led through a capillary, as is often done at undulator light sources, such as at the Chemical Dynamics beamline at the ALS and DESIRS at SOLEIL (Suits et al., 1995;Mercier et al., 2000).Furthermore, in the absence of re-focusing optics to minimize the number of optical elements and maximize the usable flux, the gas filter had to be placed near the experimental station at the end of the beamline.Satisfying these requirements, a differentially pumped filter was developed with eight chambers.Its absorption chamber, with an optical length of 10 cm, can accept � 30 mbar of rare gas without compromising the 10 À 7 mbar pressure in the transfer line.At a rare-gas pressure of 10 mbar, the suppression factor for the high-harmonic radiation of the grating was measured to be � 10 6 (Johnson et al., 2009).The gas filter is, thus, effectively a differentially pumped, windowless absorption cell, which has motivated us to evaluate it in VUV absorption measurements above the MgF 2 edge.We chose two atmospherically relevant and well characterized gaseous samples -water and nitrous oxide -and will compare the spectra with the literature results.In addi-tion, we have constructed the absorption cell to allow for condensed phases, such as a thin film or free-flowing liquid sheet targets (Koralek et al., 2018).

Experimental
The bending magnet synchrotron radiation of the VUV beamline at the SLS was collimated, dispersed using a 150 lines mm À 1 laminar grating, and focused � 22 m from the source point of the bending magnet (Bodi et al., 2012).Normally, the focus is at the variable exit slit in a cell downstream from the gas inlet chamber in the rare-gas filter, after which the gas filter is interfaced to a photoelectron photoion coincidence endstation by two further differential pumping stages (Szta ´ray et al., 2017;Johnson et al., 2009).In the VUV absorption experiments, we removed the last three differentially pumped chambers of the rare-gas filter towards the endstation port to have optical access and flexibility in terms of the absorbing medium.The chamber with the focus, originally housing the exit slit, has been replaced by the absorption chamber as seen in Fig. 1.Thus, with respect to the original setup, the last remaining gas filter chamber is the raregas inlet, which was filled with an Ne-Ar-Kr mixture or pure Ne, depending on the photon energy range of interest, to provide high-harmonic-free radiation in the absorption chamber.The absorption chamber is connected by a 1 mm channel through a precision-made copper plate, as seen in Fig. 1(b), with the rare-gas inlet chamber.This channel also acted as the exit slit.Setting up the beamline for absorption experiments requires � 3 h of time.We used the Ar absorption edge in the first and second order as well as the Kr absorption edge in the first order to calibrate the photon energy scale and determine the photon energy resolution.The latter was found to be 10 meV at 7 eV and 20-30 meV in the 14-16 eV range, based on the full width at half-maximum of the derivative of the Ar and Kr absorption edges.The resolving power could be further increased about fivefold at the cost of photon flux by installing a 200 mm exit slit in the center of the absorption chamber at the focus of the beamline.
Equilibrium vacuum conditions are quickly reached when the pressure is highest in the rare-gas chamber.The gas filter can work at filter gas pressures up to 30 mbar, which means

Figure 1
The adapted differently pumped rare-gas filter shown with the new absorption chamber.The gas filter chamber is filled with 10 mbar of rare gas to absorb the higher-harmonic radiation of the grating.The photodiode detector is mounted on an xyz-manipulator.The copper plates with the differential pumping apertures are seen in the semi-transparent representation in (b).
the maximum pressure the absorption cell can be 25 mbar without risking sample diffusion into the filter cell.In the current measurements, the filter gas pressure was measured at 9.9 mbar using a capacitance gauge, so that there is filter gas flow towards the absorption chamber.The absorption chamber was pumped using an ACP 120G Roots pump through a 40 mm VAT diaphragm valve to reduce pumping speed.The pressure in the absorption chamber was set using a needle valve for the sample inlet and the diaphragm valve to control pumping.The background pressure with the gas filter on was measured by a Pirani gauge connected close to the chamber at the pumping line to be � 0.2 mbar, whereas sample absorption measurements were taken at pressure readings of 0.6-1.1 mbar for H 2 O and 0.36-0.42mbar for N 2 O.Because of the limited accuracy of the Pirani pressure readings as well as the difficult-to-characterize contributions of the rare-gas diffusion into the absorption chamber, the column density of the sample is unknown, and overlapping scans and low-energy cross sections reported in the literature were used to anchor the measured extinctions to absolute absorption cross sections.
The light was detected using an SXUV100 photodiode as seen in Fig. 1(b), and the resulting photocurrent was measured using a Keithley 6485 picoammeter.In each scan, the photocurrent was averaged for 1-2 s at each photon energy, which was scanned in a 5-50 meV step size.The beamline transmission was measured with a running gas filter but without sample in between scans using comparable settings.The flux curve of the beamline was found to drift only slightly during the measurement campaign.Reference scans before and after absorption scans were used to obtain the extinction.The sample pressure was set so that the extinction did not exceed 90% and averaged around 50% across the spectral range, to ensure the linearity of the photocurrent with respect to the photon flux.

Results and discussion
Absorption spectra were recorded in the 8-18 eV and 7.5-19 eV range for water and nitrous oxide and are shown in Figs. 2 and 3, respectively, together with previous measurements as compiled in the MPI-Mainz UV/VIS Spectral Atlas, with the cross sections occasionally converted from the originally published absorption coefficients by the Atlas (Keller-Rudek et al., 2013).The newly recorded absorption spectra are also available in the supporting information.
The water absorption spectrum has been studied quite extensively.As determined by the working range of the differentially pumped gas filter, our energy range starts at � 7 eV and reaches up to 20 eV, where characteristic cross sections are of the order of 10 À 17 cm 2 , i.e. 10 Mb, as shown in Fig. 2 together with previous absorption measurements and the relevant part of the (e, e) spectrum of water, recorded between 6 and 200 eV by Chan et al. (1993).The � 1 eV resolution of the water (e, e) spectrum only depicts changes in the average absorption cross section and does not reveal the rich structure of the spectrum.This is best seen in the synchrotron-based measurement of Gu ¨rtler et al. (1977), who recorded cross sections in the 10-60 eV range.The structure seen between 10 and 12.6 eV can be assigned to 3-5p and 3-6d Rydberg states as well as their vibrational fine structure, converging to the ionization threshold to the ground Xþ2 2 B 1 cation state at 12.617 eV (Ruscic, 2023).The onset of the first excited Ãþ 2 A 1 cation state was reported at 13.748 eV by Truong et al. (2009), but the corresponding vertical ionization energy is 14.8 eV.This is also where the ns and np Rydberg progressions, giving rise to the vibrational fine structure in the 13-16 eV energy range in the absorption spectrum, were assumed to converge to by Gu ¨rtler et al.The next, Bþ 2 B 2 band in the photoelectron spectrum appears at 17.203 eV (Truong et al., 2009), exhibits a vertical ionization energy of � 18.5 eV, and contains the dissociative ionization onset at 18.118 eV (Bodi et al., 2014) with a corresponding � fourfold jump in the threshold ionization cross section at unchanging absorption cross sections, i.e. corresponding to a jump in the threshold ionization quantum efficiency at this energy (Truong et al., 2009;Bodi et al., 2014).The vibrational fine structure in the absorption spectrum above 16 eV is due to the Rydberg progression towards the Bþ state.
Turning attention towards lower energies, we highlight three prior results.Watanabe & Zelikoff used a hydrogen discharge tube and reported the absorption of water vapor in the 6.7-10.2eV photon energy range in their seminal paper (Watanabe & Zelikoff, 1953).More recently, Mota et al. (2005) measured light water, whereas Cheng et al. (2004) measured light and heavy water absorption using synchrotron radiation in the 6.4-10.8eV and 8.55-9.92eV energy ranges, respectively.Mota et al.'s spectrum shows significant overlap with that of Gu ¨rtler et al., and all three lower-energy scans can be used to anchor our spectrum to obtain absolute absorption cross sections across the complete energy range studied herein.The band centered around 7.5 eV is the Ã band of the water spectrum and corresponds to a 3s b 1 excitation belonging to the Rydberg states converging to the cation ground state, whereas excitation of an a 1 electron to the same

Figure 2
The newly recorded VUV absorption spectrum of water in the 8-18 eV energy range shown together with previous results and the low-resolution, broad-range (e, e) spectrum by Chan et al. (1993).
3s orbital results the second B band of the water VUV spectrum, centered at 9.7 eV and belonging to the progression converging to the excited Ãþ 2 A 1 cation state.The evident fine structure of the B band sitting on top of an intense and broad baseline has fascinated researchers for a long time ( van Harrevelt et al., 2001).While the assignment of the normal modes giving rise to this structure is straightforward (Mota et al., 2005), it falls short of capturing the double nature of this band as well as the subtle effects of the different potential energy wells as the energy rises above the HOH $ HHO barrier (Cheng et al., 2004).Isotopologue measurements and Monte Carlo quantum chemical calculations have conclusively established the role of resonances responsible for the fine structure as being due to the HOH well and are well described by bending and stretching vibrations below 9 eV, and to the HOH well coupled by quantum tunneling to the HHO well slightly above 9 eV, and again simply described well above 9 eV.Furthermore, in contrast to the resonances, the broad background is due to fast coupling to and dissociation on the ground state, as also illustrated by the different electronic states of the OH radicals produced (Zhou et al., 2015).
The newly recorded absorption spectrum, fitted to the literature values around 9 eV to obtain absolute cross sections, generally agrees with the previously measured ones across the studied energy range in terms of cross sections and resonance energies.The resonances reported by Gu ¨rtler et al. are sharper, thanks to the higher energy resolution of their light source, but this could be reproduced in our experiment, as well, with the help of a well positioned exit slit.The only notable but minor difference is seen above 14 eV, where our cross sections are, on average, � 13% larger than those reported by Gu ¨rtler et al. (1977) and agree slightly better with the (e, e) data of Chan et al. (1993).
The valence cation states of nitrous oxide have been studied using He I photoelectron spectroscopy (Brundle & Turner, 1969) and photoionization mass spectrometry (Berkowitz & Eland, 1977).Employing ion internal energy selection, Guyon et al. studied interactions between neutral dissociation and ionization continua after valence photoionization (Guyon et al., 1983).They also estimated the photoionization quantum efficiency at 15.5 eV to be constant at � 0.5, which was later shown to oscillate quite strongly around 0.7 in this energy range (Shaw et al., 1992).Ionization from the 2�, 7� and 1� HOMO, HOMO-1 and HOMO-2 orbitals of N 2 O is known to result in the first three Xþ 2 �, Ãþ 2 � + and Bþ 2 � cation electronic states at ionization energies of 12.886, 16.388 and 17.65 eV, respectively.These ionization limits must be considered when interpreting the nitrous oxide absorption spectrum, shown together with literature results in Fig. 3.
Cook et al. used a Hopfield-continuum light source and recorded the spectrum in the 12.4-20.7 eV energy range (Cook et al., 1968), to be complemented by Nee et al. between 5.6 and 12.4 eV (Nee et al., 1999) using a synchrotron light source and a LiF windowed cell to obtain well defined column densities and absolute cross sections in the lower energy range.We relied on these to normalize our absorption spectrum to obtain absolute cross sections, as well.As previously mentioned, Shaw et al.'s ultimate goal was to report photoionization efficiencies, for which they recorded absolute absorption cross sections upwards from the ionization onset in the 12.9-25.6eV energy range at the SRS in Daresbury (Shaw et al., 1992).Furthermore, high-resolution absorption spectra were reported by Cossart-Magos et al. in the 9.3-12.9eV energy range (Cossart-Magos et al., 2001), while Duflot et al. and Jones reported and compared a high-resolution N 2 O (e, e) spectrum and an absorption spectrum (Duflot et al., 2019;Jones, 2000).
The dipole forbidden B 1 � band of N 2 O is broad, weak with a maximum cross section of 1.4 � 10 À 19 cm 2 , centered at 6.85 eV, below our region of interest.It is followed by the dissociative C 1 � band (Yuan et al., 2018), exhibiting vibrational fine structure of � 1000 cm À 1 around 8.5 eV.The D 1 � + band, centered at 9.5 eV or slightly higher, was previously described as featureless (Nee et al., 1999), although some fine structure is evident in Fig. 3. Zelikoff et al. reported a number of diffuse bands in the 9.3-9.6 eV energy range, which are tentatively visible in our data, as well (Zelikoff et al., 1953).However, they have not observed fine structure on the blue side of the band, where it appears to be more apparent in our spectrum.The D 1 � + band is also dissociative, the mechanism of which, including the participation of the nearby 3 � v state, was discussed by Lambert et al. (2005).The next sharp and strong feature in the spectrum, observed at 10.521 eV, was previously assigned to the 2� 3 5� 1 � + state (Hopper, 1984), later revised as a vibrationally excited 3p� 1 � Rydberg state (Szarka & Wallace, 1991), then as a vibrationally ground state of the same configuration (Cossart-Magos et al., 2001).Although they have not reported absorption cross sections, Cossart-Magos et al. have thoroughly assigned the peaks below 12.9 eV to various Rydberg progressions converging to the Xþ , Ãþ and Bþ cation states (Cossart-Magos et al., 2001).It is also in this energy range, between 12.5 and 13.0 eV, that the absorption cross sections of Cook et al. deviate the most from our results (Cook et al., 1968).The results of Cossart-Magos et al. and Jones agree with our band profile in this energy region, and, on the discussion of the former, it is possible that a nitrogen impurity led to the skewed band profile in the spectrum of Cook et al. (1968) just below 13 eV (Duflot et al., 2019;Jones, 2000;Cossart-Magos et al., 2001).
At 12.886 eV, we reach the ionization energy to the Xþ 2 � state, which coincides with the onset of a continuum-like absorption region with monotonously rising cross sections up to 13.9 eV.While neither Shaw et al. nor Cook et al. reported a fine structure in this energy region, the photoabsorption data shown by Duflot et al. exhibit some peaks.Our data, confirmed by the raw photocurrent profile over three scans in this energy range, is suggestive of a stepwise increase of the cross sections, indicative of a vibrational structure and a coupled continuum state responsible for the rising baseline.There are no cation final states in this energy region, and the photoionization quantum efficiency is monotonously dropping (Shaw et al., 1992).Thus, it is likely that neutral final states are responsible for the rise in the photoabsorption cross section.This band comes to an end with four to five peaks in the 13.89-14.22eV range, assigned to vibrationally ground and excited 3p� and 3p� Rydberg states converging to the Ãþ 2 � + and Bþ 2 � cation states, respectively.Thereafter, the spectrum is dominated by excitation into np�, ns�, nd� and nd� states up to the Ãþ 2 � + ionization energy at 16.39 eV.According to Shaw et al. (1992), the photoionization quantum efficiency anticorrelates with the photoabsorption cross section in this energy range, indicative of neutral decay channels.The fine structure at 16.5-17.8eV, in part overlapping with the 17.65 eV onset of the broad and resolved Bþ 2 � cation state band in the photoelectron spectrum (Brundle & Turner, 1969), has also been observed by a more recent measurement on N 2 O photodissociation by Shaw & Holland (2008) and is somewhat better resolved by the current measurement.It is likely due to Rydberg progressions to this cation state.The sharp peaks at 18.23 and 18.56 eV, also reported by Shaw et al. (1992), must be due to Rydberg states belonging to the manifold converging to the Cþ 2 � + cation state at 20.11 eV.Overall, the newly recorded spectrum agrees well with the literature data, although we report the maximum of the D band at a slightly higher energy with a hint of a superimposed fine structure beyond the literature results.Based also on more recent measurements, we also propose that the band shape below 13 eV, as recorded by Cook et al., was likely affected by impurities.Furthermore, oscillations in the spectrum slightly above 13 eV are newly and around 17 eV somewhat more clearly resolved by the current measurements compared with the literature.

Conclusions
Based on a differentially pumped rare-gas filter, we constructed an absorption cell to be used in the 7-21 eV energy range to measure the absorption cross sections of gaseous samples.The absorption spectrum of water and nitrous oxide were recorded in commissioning experiments in less than 12 h.Both spectra span most of the VUV valence excitation and ionization region of the samples and represent a novel avenue to cover such a broad energy range (7-21 eV, 170-59 nm or 56 000-170 000 cm À 1 ) in one go.The spectra were calibrated using literature measurements with known column densities to obtain absolute photoabsorption cross sections, which generally agreed with literature results very well, while also revealing new details in the absorption spectrum of N 2 O.
These commissioning experiments have also highlighted four avenues, along which the experiment could be developed further.First, more than half of the measurement time was spent waiting for the monochromator to change energy and come to a stop.In light of the short photocurrent averaging times, data acquisition could therefore be speeded up considerably by implementing continuous, on-the-fly scanning instead of the point-to-point stop-and-go approach employed currently at the beamline (Lin et al., 2013).Second, by building an MgF 2 -or LiF-windowed gas cell, we could carry out the calibration experiments to determine absolute cross sections to which the differentially pumped setup can be calibrated to.Third, by installing an exit slit or exit skimmer at the focus of the chamber, we could reach the nominal resolution of the beamline, i.e.E/�E of up to 1000-10 000, depending on the grating and the photon energy.Fourth, some of the newly, tentatively observed structure in the N 2 O spectrum could likely be made more evident by cooling down the sample, thereby sharpening the rotational envelope.
In summary, this setup will allow for VUV absorption measurements of gaseous samples above the absorption edge of MgF 2 and LiF.Our absorption experiment will fill a gap in this regard, as most light sources and experiments capable of such measurements have been decommissioned in recent years.The chamber is also designed to allow for condensed phase absorption measurements in this energy range, such as liquid or solid thin films.This also opens up the possibility to determine the absorbance of condensed-phase samples in the VUV.

Figure 3
Figure 3The newly recorded VUV absorption spectrum of nitrous oxide in the 7.5-19.0eV photon energy range shown together with previous results.The orange lines indicate the small shift in the D band with respect to the spectrum ofNee et al. (1999).