Pump-Probe X-ray Photoemission Spectroscopy of Free-Standing Graphane

: Free-standing nanoporous graphene was hydrogenated at about 60 at.% H uptake, as determined by the emerging of the sp 3 bonding component in the C 1s core level investigated by high-resolution X-ray photoelectron spectroscopy (XPS). Fully unsupported graphane was investigated by XPS under optical excitation at 2.4 eV. At a laser ﬂuence of 1.6 mJ/cm 2 , a partial irreversible dehydrogenation of the graphane was observed, which could be attributed either to the local temperature increase or to a photo-induced softening of the H-to-C stretching mode. The sub-ns dynamics of the energy shift and peak broadening of the C 1s core level revealed two different decay constants: 210 ps and 130 ps, respectively, the former associated with photovoltage dynamics and the latter with thermal heating on a time scale comparable with the synchrotron temporal resolution.

Graphane has been recently proposed as scaffold for tritium atom grafting in a futuristic neutrino detector [24]; therefore, the dynamics and the stability of the sp 3 chemical bond studied by using its lighter isotopes constitute fundamental issues to be assessed before any application. On the other hand, while the photoinduced dynamics of graphene have been thoroughly studied in the last decade [25][26][27], the dynamics of graphane are still experimentally unknown. Thanks to the achievement of fully free-standing NPG-based graphane, we have the opportunity to investigate its dynamics without any interference from substrates and/or defects. In fact, nanoporous graphene alone can foster a conversion to graphane with a high density of C−ligible presence H bonds, and a finely monitored in situ hydrogenation in ultra-high vacuum conditions on such a template leads to a negof unsaturated bonds or defects [18]. In the following paragraphs, we study the sub-nanosecond temporal evolution of the C 1s core level by X-ray photoelectron spectroscopy (XPS) after exciting the H-NPG sample with femtosecond optical pulses (2.4 eV). The~100 ps temporal resolution achievable at synchrotron facilities provides important information concerning the sample stability and its damage threshold, which must be determined prior to any time-resolved experiment. We show that a pump fluence of 1.6 mJ/cm 2 causes a partial dehydrogenation of graphane, which we tentatively assign to the local laser-induced heating. On the sub-nanosecond range, we observe the transient broadening and shift of the C 1s core level with two different time constants, which we ascribed to lattice heating and surface photovoltage, respectively.

Results and Discussion
The C 1s core level line shape is an excellent fingerprint of the chemical bonding of carbon. Hydrogen (or deuterium) chemisorption on Gr produces a neat sp 3 component at higher binding energy (BE) with respect to the Gr component related to the planar sp 2 hybridized bonds [15][16][17][18]. The C 1s core-level for a high-coverage H-NPG sample probed with 400 eV photon energy is shown in Figure 1a. We used Doniach-Sunjic line shapes to fit the data, with the best fitting of the spectrum presenting dominant sp 2 and sp 3 components and a minor CO x one due to residual contamination at 284.5 eV, 285.0 eV, and 285.8 eV BE, respectively. Defining the intensity ratio Θ = sp 3 /(sp 2 + sp 3 ) allows to estimate the hydrogen uptake, which is about 60 at.%. The H-NPG sample was successively illuminated with a pulsed laser (128 kHz repetition rate) at 2.4 eV photon energy and a 1.6 mJ/cm 2 fluence, revealing an evident C 1s line shape change (Figure 1b), corresponding to an irreversible decrease in Θ to~20 at.%, thus compatible to a reduction of the H content. The reduction of Θ shown in Figure 1b occured immediately after exposure of the sample to laser radiation and remained unaltered for longer exposure times at the same fluence. standing NPG-based graphane, we have the opportunity to investigate its dynamics without any interference from substrates and/or defects. In fact, nanoporous graphene alone can foster a conversion to graphane with a high density of C−H bonds, and a finely monitored in situ hydrogenation in ultra-high vacuum conditions on such a template leads to a negligible presence of unsaturated bonds or defects [18]. In the following paragraphs, we study the sub-nanosecond temporal evolution of the C 1s core level by Xray photoelectron spectroscopy (XPS) after exciting the H-NPG sample with femtosecond optical pulses (2.4 eV). The ~100 ps temporal resolution achievable at synchrotron facilities provides important information concerning the sample stability and its damage threshold, which must be determined prior to any time-resolved experiment. We show that a pump fluence of 1.6 mJ/cm 2 causes a partial dehydrogenation of graphane, which we tentatively assign to the local laser-induced heating. On the sub-nanosecond range, we observe the transient broadening and shift of the C 1s core level with two different time constants, which we ascribed to lattice heating and surface photovoltage, respectively.

Results and Discussion
The C 1s core level line shape is an excellent fingerprint of the chemical bonding of carbon. Hydrogen (or deuterium) chemisorption on Gr produces a neat sp 3 component at higher binding energy (BE) with respect to the Gr component related to the planar sp 2 hybridized bonds [15][16][17][18].
The C 1s core-level for a high-coverage H-NPG sample probed with 400 eV photon energy is shown in Figure 1a. We used Doniach-Sunjic line shapes to fit the data, with the best fitting of the spectrum presenting dominant sp 2 and sp 3 components and a minor COx one due to residual contamination at 284.5 eV, 285.0 eV, and 285.8 eV BE, respectively. Defining the intensity ratio = sp 3 /(sp 2 + sp 3 ) allows to estimate the hydrogen uptake, which is about 60 at.%. The H-NPG sample was successively illuminated with a pulsed laser (128 kHz repetition rate) at 2.4 eV photon energy and a 1.6 mJ/cm 2 fluence, revealing an evident C 1s line shape change (Figure 1b), corresponding to an irreversible decrease in to ~20 at.%, thus compatible to a reduction of the H content. The reduction of shown in Figure 1b occured immediately after exposure of the sample to laser radiation and remained unaltered for longer exposure times at the same fluence.  Hydrogen desorption might be ascribed to different causes, such as the local laserinduced heating or an electronically initiated dehydrogenation. We can first infer the base temperature increase under the ∆T CW laser approximation by using heat diffusion models [28]: with P representing the laser power, R c the reflection coefficient, k the thermal diffusivity of the material, and w = 150 µm the beam radius in this experiment. The temperature increase depends on the estimated parameters of graphane (absorbance, thermal diffusivity).
Considering an absorbance (1 − R c ) of 2.3% [29] and a thermal diffusivity of the order of 10 W/(m K) [30,31], (1) gives a temperature increase in the range of few K. The maximum temperature reached before dissipation depends on the laser pulse energy, heat capacity, and mass density instead [28]: with Q representing the pulse energy, d the absorption depth, C p the heat capacity, and ρ m the mass density. Assuming d = 3 × 10 −8 m [32], and using the predicted heat capacity of graphane 15% larger than that of Gr [33], C p~8 00 J/(Kg K), and the much lower expected mass density of NPG in the range of from 3 to 70 kg/m 3 [34], the maximum T reached locally under the laser pulse can be of several hundreds of K, close to the 920 K required to recover pristine Gr with total desorption of H atoms [15]. However, these evaluations are largely based on partially known parameters (mass density, heat capacity, thermal diffusivity, absorbance), often only predicted for graphane since free-standing and fully hydrogenated graphane is very difficult to be synthesized. Thus, we cannot exclude a preferential electronically induced dehydrogenation, associated with the laser-induced softening of the C-H stretching as predicted by first-principles simulations based on timedependent density functional theory [35], although the fluence used in the calculations was one order of magnitude higher. We proceeded to study the photo-induced dynamics of the C 1s core level by timeresolved XPS in the sub-ns time scale. Laser pulses of 2.4 eV at a 1.6 mJ/cm 2 fluence were used to excite the sample, while 400 eV synchrotron pulses were used as a probe. As reported in Figure 1, laser exposure at this fluence immediately resulted in a partial dehydrogenation to Θ~20 at.%; successively, the sample stability under constant illumination was ensured by the overlap between the first and last spectra of the time-resolved sequence, acquired almost two hours apart. The high energy resolution and high brilliance of synchrotron radiation allow to discriminate C-to-H sp 3 and C-to-C sp 2 components in the measured C 1s spectra, albeit with a limited temporal resolution imposed by the synchrotron pulse duration (~100 ps). In Figure 2, the broadening and binding energy shift of sp 2 (orange) and sp 3 (blue) components is shown as a function of the pump-probe delay.
We observed a spectral shift to lower binding energies (−0.1 eV) accompanied by a significant broadening (~0.3 eV) of both components. We fitted the relaxation dynamics by using exponentially modified Gaussian distributions (solid lines), with the Gaussian full width at half maximum (FWHM) constrained to 120 ps, to account for the pump-probe cross-correlation. The fits yield two different time constants, namely τ B = 130 ± 20 ps for the broadening and τ S = 210 ± 10 ps for the shift, with the distinct decay rates suggesting that the two effects may be characterized by a different nature. With respect to the broadening, the ultrafast dynamics of the C 1s line of graphene have been studied at a free electron laser, showing that the electronic temperature decays on a much faster time scale [36], therefore suggesting that the lattice heating is a more likely cause of the change in the C 1s width in our data. Under this assumption, if we relate the~0.3 eV broadening at time zero to the temperature-dependent phonon broadening measured in graphene [37], we find that the instantaneous temperature increase is of more than 1000 K, thus again suggesting that the dehydrogenation might be thermally induced. We observed a spectral shift to lower binding energies (−0.1 eV) accompanied by a significant broadening (~0.3 eV) of both components. We fitted the relaxation dynamics by using exponentially modified Gaussian distributions (solid lines), with the Gaussian full width at half maximum (FWHM) constrained to 120 ps, to account for the pumpprobe cross-correlation. The fits yield two different time constants, namely = 130 ± 20 ps for the broadening and = 210 ± 10 ps for the shift, with the distinct decay rates suggesting that the two effects may be characterized by a different nature. With respect to the broadening, the ultrafast dynamics of the C 1s line of graphene have been studied at a free electron laser, showing that the electronic temperature decays on a much faster time scale [36], therefore suggesting that the lattice heating is a more likely cause of the change in the C 1s width in our data. Under this assumption, if we relate the ~0.3 eV broadening at time zero to the temperature-dependent phonon broadening measured in graphene [37], we find that the instantaneous temperature increase is of more than 1000 K, thus again suggesting that the dehydrogenation might be thermally induced.
With respect to the energy shift, we identify three possible causes: local heating, surface photovoltage (SPV), and space charge effects. It is known that the temperature increase may cause core level shifts in metals [38] and graphene [37] due to the lattice expansion, but the differences in the dynamics of the observed broadening and shift do not support such a hypothesis. The shift is more likely ascribed to the transient surface photovoltage (SPV) field, which is related to the semiconducting character of H-NPG [18] and arises as a result of the separation of the photo-generated excitons. Space charge effects may also induce a similar shift, but they depend on the number of electrons photoemitted by the pump pulse. Since the pump photon energy is well below the direct gap of graphane, the laser-induced photoemission is low in our measurement, thus suggesting that space charge effects are negligible compared to SPV.
To conclude, we note that the decay times obtained from our data are close to the temporal resolution of the synchrotron. Moreover, the measured relaxation of sp 3 and sp 2 broadening and shift are in perfect overlap, thus revealing no distinction between the two chemically inequivalent species in the 100 ps range. To achieve a deeper understanding of the photo-induced dynamics in H-NPG, and possibly to detect a difference in the response to optical excitations in C-to-H and C-to-C atoms, it would be beneficial to measure time-resolved XPS on such a system at free electron lasers, exploiting the shorter pulse duration to access the sub-picosecond time scale. With respect to the energy shift, we identify three possible causes: local heating, surface photovoltage (SPV), and space charge effects. It is known that the temperature increase may cause core level shifts in metals [38] and graphene [37] due to the lattice expansion, but the differences in the dynamics of the observed broadening and shift do not support such a hypothesis. The shift is more likely ascribed to the transient surface photovoltage (SPV) field, which is related to the semiconducting character of H-NPG [18] and arises as a result of the separation of the photo-generated excitons. Space charge effects may also induce a similar shift, but they depend on the number of electrons photoemitted by the pump pulse. Since the pump photon energy is well below the direct gap of graphane, the laser-induced photoemission is low in our measurement, thus suggesting that space charge effects are negligible compared to SPV.
To conclude, we note that the decay times obtained from our data are close to the temporal resolution of the synchrotron. Moreover, the measured relaxation of sp 3 and sp 2 broadening and shift are in perfect overlap, thus revealing no distinction between the two chemically inequivalent species in the 100 ps range. To achieve a deeper understanding of the photo-induced dynamics in H-NPG, and possibly to detect a difference in the response to optical excitations in C-to-H and C-to-C atoms, it would be beneficial to measure timeresolved XPS on such a system at free electron lasers, exploiting the shorter pulse duration to access the sub-picosecond time scale.

Materials and Methods
Nanoporous graphene was synthesized starting from a nanoporous Ni template that was obtained from a Ni30Mn70 alloy, chemically treated with 0.5 M ammonium sulfate, eventually obtaining the nanoporous Ni substrate. The nanoporous substrate was exposed to benzene vapors in a chemical vapor deposition (CVD) process and annealed at 900 • C for 5 min, thus obtaining Ni-supported NPG. Free-standing NPG was eventually achieved by chemical dissolution of the Ni template by 1.0 M hydrochloric acid. All steps and details of the synthesis and preparation processes and procedures are presented in previous works [19,23,[39][40][41][42]. Before exposing NPG to the atomic hydrogen in UHV, it was annealed at about 620 • C for several hours, so as to remove residual contamination [16].
Hydrogenation of NPG was performed in UHV using a hydrogen cracker (Focus GmbH), the latter consisting of a capillary with gas inlet for letting H 2 flow into it. The capillary is heated by electron bombardment so as to obtain a highly efficient (more than 95% [43]) cracking into H atoms, which are directed to the NPG sample. The sample was exposed to a total amount (as measured by the UHV ion-gauge) of 3600 L, with 1 L = 1.33 × 10 −6 mbar s, using a pressure of 1.0 × 10 −6 mbar. Such exposure resulted in an average uptake of~60 at.% of H:C (estimated as the Θ = sp 3 /(sp 3 + sp 2 ) intensity ratio), so as to allow discernment of both sp 2 and sp 3 components in the XPS C 1s spectrum. An oncampus XPS system equipped with a Mg Kα photon source (PSP TA10) and a hemispherical VG Microtech Clam-2 electron analyzer in constant pass energy mode set at 50 eV and with overall energy resolution of ≤1 eV was used for a preliminary characterization of the sample.
The H-NPG sample was dry transferred to the ANCHOR-SUNDYN endstation [44] at the ALOISA beamline at the Elettra synchrotron (Italy). We recently demonstrated that such a hydrogenation method is very stable and unaffected by air transport among different laboratories [16]. A mild annealing up to 150 • C was done once mounted in the new UHV chamber, to facilitate desorption of adventitious contamination without affecting the H-C bonds.
In order to define the optimal conditions for the time-resolved measurements, fluence dependent XPS spectra were acquired with the laser and synchrotron beams impinging on the sample at normal incidence in a quasi-collinear geometry, and the photoemission signal was acquired using multibunch radiation. This acquisition method shows both the irreversible modifications of the line shapes due to laser irradiation and the long-lived photo-induced effects averaged in the time elapsed between consecutive laser pulses [45] which is ∼8 µs in these measurements (128 kHz repetition rate). The laser was focused to a spot diameter of ∼300 µm, slightly larger than the synchrotron beam on the sample surface. Time-resolved XPS measurements were instead acquired using the hybrid mode filling of Elettra, detecting the signal coming only from the isolated pulses as detailed in Ref. [46]. The temporal overlap between pump and probe pulses was calibrated by measuring the SPV shift on a Si crystal, and the delay was scanned with an electronic phase shifter. A pump fluence of 1.6 mJ/cm 2 was chosen for the time-resolved data with the aim of maximizing the transient photo-induced effect while maintaining a sizable and stable hydrogen content.

Conclusions
A highly hydrogenated (~60% at.%) fully free-standing and unsupported nanoporous graphene sample was studied using high-resolution XPS under laser excitation at 2.4 eV. The presence of an sp 3 bonding component, resulting from the establishment of H-to-C chemisorption bonds, indicates the achievement of free-standing graphane. Partial dehydrogenation was obtained by illuminating the sample at a laser fluence of 1.6 mJ/cm 2 , probably due to local and instantaneous temperature increase. Longer exposure times at the same fluence did not further reduce the hydrogen content. This "static" characterization illustrates the damage threshold and stability of highly hydrogenated graphene under optical excitation, thus defining the experimental constraints for future time-resolved measurements. The photo-induced dynamics in the sub-ns range of the two C 1 components suggests a different time constant for the observed line broadening and energy shift: 130 ps and 210 ps, respectively. In this preliminary study, we tentatively ascribe the two effects to lattice heating (broadening) and surface photovoltage (shift); however, we note that usage of shorter X-ray pulses, available at free electron lasers, would be required in order to disentangle the very origin of the observed response of free-standing graphane to optical excitations.