## Introduction

Many processes in nature rely on photoactive proteins to transform light energy into a physical response, for example, photosynthesis and vision. At the heart of these processes is a small chromophore that absorbs light and undergoes small-scale structural changes, which are captured and amplified by the surrounding protein and used to initiate a macromolecular-level response and, in turn, biological function. Understanding the photophysics and photochemistry behind the selectivity and efficiency of nature’s photoactive proteins is crucial for the rational design of new photomaterials for a range of applications including photovoltaics and bioimaging. Although a detailed knowledge of the intrinsic electronic structure of photoactive protein chromophores is a good starting point, it is essential to understand the role an environment plays in tuning the electronic structure. Experimentally, one of the most direct ways of probing electronic structure is through the measurement of electron binding energies using photoelectron spectroscopy (PES). However, although there have been numerous PES studies of protein chromophores in the gas phase1, PES studies of protein chromophores in more complex environments have not yet been reported.

Green fluorescent protein (GFP) has revolutionalised the life sciences by enabling a wide range of applications such as fluorescence imaging and biosensing2,3,4,5,6,7,8,9. The chromophore that lies at the heart of GFP, 4-hydroxybenzylidene-1,2-dimethylimidazolinone (p-HBDI), is anchored covalently and by a network of hydrogen bonds to the protein that is wrapped around it in a β-barrel structure. GFP has two absorption bands, centred around 395 nm and 480 nm, that are associated with the neutral and deprotonated anionic forms of the chromophore, respectively. Its characteristic green emission (~509 nm) comes from the anionic form of the chromophore (p-HBDI, Fig. 1 (inset)) with high quantum yield, Φ = 0.7910.

The first absorption bands in the electronic absorption spectra of GFP and the isolated p-HBDI chromophore in vacuo lie remarkably close to one another11,12,13,14,15, suggesting that the β-barrel structure provides an electronic environment that is similar to a vacuum; however, the environment of the chromophore plays a crucial role in defining the electronic relaxation dynamics following photoexcitation of the first electronically excited state. Denaturation of the protein results in a loss of fluorescence16 and the isolated chromophore is virtually non-fluorescent in vacuo12 and at physiological temperatures in solution17, although it has a sufficiently long excited-state lifetime in vacuo when cooled to 100 K that it is expected to fluoresce18, and it fluoresces strongly in solution when cooled to 77 K17. The lack of fluorescence from the free chromophore at physiological temperatures has been attributed to ultrafast double-bond isomerisation, followed by internal conversion back to the electronic ground state19,20, with timescales that are similar in the gas phase21 and in solution19,20, suggesting that the intrinsic electronic properties of the chromophore determine the relaxation mechanism.

Higher lying electronically excited states of GFP are believed to be involved in photooxidation processes22 and in the formation of solvated electrons23. However, the electron detachment energy, the most fundamental property underpinning photooxidation, and the electron binding energies of the higher lying electronic states have only been determined experimentally for the deprotonated GFP chromophore in the gas phase11,13,21,24,25,26,27,28. Here, we report the results of multiphoton (MP) ultraviolet (UV) liquid-microjet PES experiments and high-level quantum chemistry calculations of p-HBDI in aqueous solution. Measurements of the electron kinetic energy (eKE) distribution following photodetachment at a range of wavelengths allow us to determine the first three vertical detachment energies (VDEs) to an accuracy of ±0.2 eV, representing uncertainties in the effect of inelastic scattering of low energy electrons (< 5 eV) and the vacuum level offset (Supplementary Methods). Our results suggest that the photooxidation properties of the deprotonated GFP chromophore in aqueous solution are similar to those of the chromophore in its natural protein environment.

## Results

### UV–vis absorption spectrum

The UV–vis absorption spectrum of aqueous p-HBDI is presented in Fig. 1 together with the vertical excitation energies (VEEs) calculated using Extended Multi-configuration Quasi-degenerate Perturbation Theory (XMCQDPT2)29,30 and Effective Fragment Potential (EFP)31 methods.

The absorption maximum of aqueous p-HBDI is 422 nm (2.94 eV), whereas that of gas-phase p-HBDI is 482 nm (2.57 eV)11, similar to the absorption maximum of the protein in its anionic form (480 nm, 2.58 eV). Below 350 nm, there are a number of small peaks in the UV–vis absorption spectrum of aqueous p-HBDI, corresponding to transitions to higher-lying electronically excited states. The VEEs of these higher-lying states are all blue-shifted compared to those of the higher-lying electronically excited states of gas-phase p-HBDI13,28.

### Photoelectron spectra

Figure 2a shows the one-colour MP photodetachment spectra of aqueous p-HBDI using 440 nm, 422 nm and 403 nm (resonant with the S0-S1 transition, with increasing excess energy in S1), 300 nm (close to the absorption minimum) and 249.7 nm (resonant with higher-lying electronically excited states). The photoelectron spectra are plotted as a function of electron kinetic energy (eKE), corrected to account for the spectrometer transmission function, and fitted with sums of Gaussians. To account for uncertainty in the transmission function for very low eKE, we only fit to measured eKE > 0.3 eV (Supplementary Methods) which, after correcting for the vacuum level offset between the interaction region and the analyser (Supplementary Methods), corresponds to true eKE > 0.4 eV. The centres of the fitted Gaussians are approximated to vertical detachment processes and are listed in Table 1 together with the corresponding vertical detachment energies, VDE = nhν − eKE, where n is the number of photons in the detachment process. The fact that the measured photoelectron spectra can be fit so well with Gaussians suggests that the spectral profiles have not been distorted significantly by inelastic scattering from solvent molecules as they leave the liquid. This is consistent with photoelectrons being emitted from weakly-soluble organic molecules with enhanced surface concentration32. Our simulations of electron trajectories suggest that photoelectrons generated within a few nanometres of the surface of a liquid-microjet lose minimal energy to inelastic scattering and that any loss is within experimental error (Supplementary Methods).

### Electronic structure

The MP detachment processes giving rise to each photoelectron spectrum can be deduced by considering the energetics of all the processes contributing to the five photoelectron spectra. This requires an understanding of the electronic structure of p-HBDI and its corresponding neutral radical. The VEEs of the first seven excited singlet states of p-HBDI in aqueous solution have been determined using high-level XMCQDPT2/SA(10)-CASSCF(16,14)/(aug)-cc-pVDZ//EFP calculations and are listed in Table 2. The first VDE has been calculated using a hybrid DFT/EFP/MD approach and depends strongly on the system size as it relies on the accuracy of the absolute energy estimation of long-range interactions between the negatively charged chromophore and polar water molecules. It converges for a system with ~12,500 water molecules (R = 40 Å, Supplementary Fig. 8). The equilibrium geometry of this system is then used to calculate the lowest-lying D0 and D1 VDEs using the XMCQDPT2/SA(10)-CASSCF(14,14)/(aug)-cc-pVDZ+//EFP approach. The calculated VEEs are affected less by the size as the system is still negatively charged after photoexcitation. VDEs of the higher-lying doublet states have been calculated at the XMCQDPT2/SA(10)-CASSCF(15,14)/(aug)-cc-pVDZ//EFP level of theory with respect to D0. The VDEs are also listed in Table 2.

To a first approximation, we can use Koopmans’ theorem to determine detachment propensities. For example, from the electronic configurations shown in Fig. 2b, we see that the S0 state is most likely to ionise to D0, S1 to D0 and D1, S5 to D2 and S6 to D1. These propensities, together with conservation of energy considerations, allow us to determine the MP detachment processes contributing to the photoelectron spectra presented in Fig. 2a.

## Discussion

Since the UV absorption cross-section is very low at 300 nm (Fig. 1), we expect direct detachment from the ground electronic state to have a significant contribution to the photoelectron spectrum (Fig. 2a). The 300 nm spectrum is best fit with two Gaussians with maximum eKEs of 1.3 ± 0.2 eV (dark grey) and 0.8 ± 0.2 eV (dashed line). The corresponding two-photon VDEs from S0 are 7.0 ± 0.2 eV and 7.5 ± 0.2 eV, respectively. From Koopmans’ considerations, we assign the feature corresponding to 7.0 ± 0.2 eV as the S0-D0 VDE. This is around 4 eV higher than that of gas-phase p-HBDI (2.73 eV)33 and over 3 eV higher than p-HBDI microsolvated by one or two water molecules (3.15 and 3.50 eV, respectively)34. The measured VDE is in good agreement with our calculated value (6.7 eV) and similar to an earlier EOM-CCSD/EFP calculation (6.6 eV)35. It is worth noting that the S4 state located around 4.26 eV (Table 2) could be involved in resonance-enhanced 1 + 1 electron detachment to D0 at this photon energy (4.13 eV). Koopmans’ arguments indicate that the feature corresponding to 7.5 ± 0.2 eV is unlikely to arise from resonant 1 + 1 detachment to a higher lying VDE. However, two-photon direct S0-D1 detachment may contribute to this peak, as a second-order non-linear process (Table 2). At the same time, it is possible that the S4 state is involved in resonant 1 + 1 electron detachment via formation of a solvated electron, which is discussed in more detail below. Although it is possible to fit the 300 nm spectrum with a single Gaussian with eKE ~ 0.6 eV Supplementary Methods, the improved fit with two Gaussians suggests that the processes giving rise to the spectrum are best described by fitting two Gaussians.

The 440 nm, 422 nm and 403 nm photoelectron spectra were recorded following photoexcitation of the S1(1ππ*) state. All three photoelectron spectra have similar profiles and are best fit with two Gaussians. Knowing the S0-D0 VDE allows us to deduce that these spectra arise from 1 + 2 resonantly enhanced processes. For the 440 nm photoelectron spectrum, the Gaussian with eKE = 1.6 ± 0.2 eV (dark green) corresponds to a two-photon VDE of 4.0 ± 0.2 eV and the Gaussian with eKE = 0.8 ± 0.2 eV (light green) corresponds to a two-photon VDE of 4.8 ± 0.2 eV. To assign these features, we assume that solvent reorganisation is negligible on the timescale of ionisation, that vibrational energy is conserved during detachment, and estimate the S0-Di VDE (Table 1) using,

$${{{{{{{\rm{VDE}}}}}}}}({{{{{{{{\rm{S}}}}}}}}}_{0}-{{{{{{{{\rm{D}}}}}}}}}_{i})\approx mh\nu -(h\nu -{{{{{{{\rm{AEE}}}}}}}})-{{{{{{{\rm{eKE}}}}}}}},$$
(1)

where hν is the photon energy, m is the total number of photons involved in the MP detachment process (m = 3 for the 440 nm, 422 nm and 403 nm photoelectron spectra) and AEE is the adiabatic excitation energy (in this case, the S0-S1 AEE). The calculated reorganisation energy is only 0.1 eV in S1 so we assume that the AEEs are similar to VEEs (Table 2) within experimental error. For the feature with eKE = 1.6 ± 0.2 eV (dark green), the S0-Dn VDE is 6.8 ± 0.2 eV, which is in good agreement with our measured value for the S0-D0 VDE obtained from the 300 nm photoelectron spectrum (7.0 ± 0.2 eV) and in excellent agreement with our calculated value. For the feature with eKE = 0.8 ± 0.2 eV (light green), the S0-Di VDE is 7.6 ± 0.2 eV; based on Koopmans’ considerations, this can be assigned as the S0-D1 VDE. Our calculated S0-D1 (7.7 eV) VDE is consistent with this assignment. For the 422 nm spectrum, we use similar arguments to obtain S0-D0 and S0-D1 VDEs of 7.2 ± 0.2 eV and 7.9 ± 0.2 eV. For the 403 nm spectrum, we use similar arguments to obtain S0-D0 and S0-D1 VDEs of 7.3 ± 0.2 eV and 8.1 ± 0.2 eV. It is clear that the measured S0-D0 and S0-D1 VDEs increase with increasing excess vibrational energy in S1 (Table 1 and Supplementary Note 1). We attribute this to relaxation on S1 occurring on the timescale of the measurement (~ 150 fs). This is consistent with the 210 fs timescale observed for ultrafast double-bond isomerisation of p-HBDI in aqueous solution, determined from ultrafast fluorescence measurements19. Relaxation on S1 would be expected to result in an effective increase in the S1-D0/D1 VDEs21, which would lead to the S0-D0/D1 VDEs determined using Eq. (1) being overestimated. As such, the VDEs determined from the 440 nm photoelectron spectrum are presumed to be more accurate than those recorded at 422 nm and 403 nm, and we note that both the S0-D0 and S0-D1 VDEs determined from the 440 nm spectrum are in excellent agreement with those obtained from theory (Supplementary Note 1).

The 249.7 nm photoelectron spectrum was recorded following photoexcitation of higher-lying electronically excited states and is best fit with two Gaussians. The maxima of the Gaussians have eKEs at 1.8 ± 0.2 eV (pink) and 0.9 ± 0.2 eV (purple), corresponding to one-photon VDEs of 3.2 ± 0.2 eV and 4.1 ± 0.2 eV, respectively. Using Eq. (1), with m = 2 (total number of photons to ionise from the ground state), for the feature with eKE = 1.8 ± 0.2 eV, we estimate S0-Di VDEs of 8.0 ± 0.2 for 1 + 1 detachment via the S6 state, which is located at 4.8 eV and has an appreciable oscillator strength (Table 2). We assign this feature to S6-D1 detachment. The corresponding S0-D1 VDE is consistent with those obtained from the 440 nm spectrum (Table 1, Supplementary Note 1). For the feature with eKE = 0.9 ± 0.2 eV, we estimate an S0-Di VDE of 8.6 ± 0.2 eV for 1 + 1 detachment via the S5 state, which correlates with the D2 state. We assign this feature to S5-D2 detachment. Our calculated S0-D2 (8.8 eV) VDE is consistent with this assignment.

It has been proposed that one of the higher-lying ππ* states is a gateway state for resonant electron transfer to solvent28. Specifically, the S4 state has the potential to undergo autodetachment to D0, since it is a one-electron process. The VEEs and lowest VDE of aqueous p-HBDI are plotted in Fig. 3, together with those of the chromophore in the gas phase and in the S65T-GFP protein28. Although the VEEs of the first electronically excited singlet state are very similar in the gas phase and in the protein, the VDEs are very similar in aqueous solution and in the S65T-GFP protein. The VDE of a fully solvated electron, $${{{{{{{{{\rm{e}}}}}}}}}^{-}}_{{{{{{{{\rm{(aq)}}}}}}}}}\to {{{{{{{{{\rm{e}}}}}}}}}^{-}}_{{{{{{{{\rm{(g)}}}}}}}}}$$, has been determined to be 3.76 eV in water36. Therefore, the higher-lying electronically excited states of p-HBDI are embedded in the continuum of the solvated electron in water and in the S65T-GFP protein. This suggests that the photooxidation properties of the anionic form of S65T-GFP and those of aqueous p-HBDI will be similar.

Solvated electrons could be formed following S0-S4 photoexcitation (VEE 4.26 eV) and autodetachment out of the S4 state. In principle, autodetachment from the S4 state will be fast because it is an excited-shape resonance with respect to the quasi-continuum of the solvated electron. If it is faster than the timescale of our measurement, which is defined by the duration of our laser pulses (~150 fs), and if the processes contributing to the 300 nm (4.13 eV) photoelectron spectrum are best interpreted by fitting two Gaussians, the feature with eKE = 0.8 ± 0.2 eV could be assigned to the $${{{{{{{{{\rm{e}}}}}}}}}^{-}}_{{{{{{{{\rm{(aq)}}}}}}}}}\to {{{{{{{{{\rm{e}}}}}}}}}^{-}}_{{{{{{{{\rm{(g)}}}}}}}}}$$ process. $${{{{{{{{\rm{VDE}}}}}}}}}_{{{{{{{{{\rm{e}}}}}}}}}^{-}}\approx h\nu -{{{{{{{\rm{eKE}}}}}}}}=3.3\pm 0.2$$ eV, which is consistent with that of a partially solvated electron37. Transient electronic absorption spectroscopy measurements of the phenolate moiety of p-HBDI in aqueous solution propose electron appearance timescales of a few hundred femtoseconds38 to picoseconds39. We plan time-resolved photoelectron spectroscopy measurements to confirm if solvated electrons are formed following photoexcitation of the higher-lying state of solvated p-HBDI.

In summary, we have employed MP UV photoelectron spectroscopy in a liquid-microjet to measure the VDE of the deprotonated GFP chromophore in aqueous solution. To the best of our knowledge, this is the first reported VDE measurement of any protein chromophore and highlights the value of MP UV photoelectron spectroscopy for probing the electronic structure of sparingly soluble biological chromophores. Notably, the first VDE (6.8 ± 0.2 eV) is more than double that of the deprotonated chromophore in vacuo (2.73 ± 0.01 eV)33 as a result of solvent-stabilisation of the anion. Although the VEE of the first electronically excited singlet state of the protein in its anionic form is very similar to that of the deprotonated chromophore in vacuo, the VDE and the pattern of higher lying electronically excited states in the protein are similar to those of the deprotonated chromophore in aqueous solution. We propose that the photooxidation properties of the deprotonated chromophore in aqueous solution are similar to those of the protein and propose that higher-lying excited states of solvated p-HBDI act as a gateway for electron transfer processes in the condensed phase.

## Methods

### Experimental

p-HBDI was prepared using reported procedures40.

Photoelectron spectra were recorded using our liquid-microjet magnetic-bottle photoelectron spectrometer41. 20μM of p-HBDI was dissolved in water. 5 mM NaOH was added to deprotonate p-HBDI to form p-HBDI and to reduce charging of the microjet nozzle. UV–vis spectra of the solution were recorded before and after each experiment to ensure that p-HBDI was in its deprotonated anionic form. The p-HBDI solution was introduced into the photoelectron spectrometer through a 20 μm diameter fused silica capillary using a high-performance liquid chromatography pump operating with a backing pressure of ~85 bar and a flow-rate of 0.7 ml/min. The p-HBDI solution was intersected with femtosecond laser pulses 2 mm downstream from the capillary nozzle before being collected and recirculated. Photoelectrons were detected at the end of a time-of-flight (TOF) tube and the photoelectron current was recorded together with the arrival time relative to the trigger of the laser pulse. Photoelectron spectra of NO and Xe were recorded to convert TOF to eKE and the energy resolution (ΔE/E ~ 1%) and to determine the instrument function, streaming potential and vacuum level offset between the interaction region and analyser, the procedures for which are described in detail in the Supplementary Methods.

### Computational

Ground-state geometries of the solvated chromophore were obtained using a hybrid QM/EFP/MD approach described in the Supporting Information. The quantum mechanical part included a single p-HBDI anion with six water molecules closest to the chromophore and was described at the PBE0/(aug)-cc-pVDZ level of theory. The first VDE was calculated as the energy difference between the S0 and D0 states in the geometry of the anion at the PBE0/(aug)-cc-pVDZ//EFP level of theory for a series of the model systems of increasingly larger size with up to 19,000 water molecules (Supplementary Fig. 7). All water molecules, except for those included in the quantum mechanical part, were treated as EFPs. A structure with ~12,500 water molecules (R = 40 Å) was then used to calculate the D0 and D1 VDEs using the XMCQDPT2/ SA(10)-CASSCF (14,14)/(aug)-cc-pVDZ+//EFP method, with a very diffuse function placed outside the water sphere and included in the active space to mimic electron detachment.

A smaller-sized, pure QM/EFP system with 253 EFP water molecules was used for excited-state calculations (Supplementary Fig. 9). Vertical excitation energies in the solvated anion and neutral radical were calculated at the XMCQDPT2/ CASSCF(16,14)//EFP and XMCQDPT2/CASSCF(15,14)//EFP levels of theory, respectively, using the same basis set. The S0–S1 absorption profile for a single configuration of the solvated p-HBDI anion and the difference between the vertical and adiabatic excitation energies, i.e., the reorganisation energy in S1, were calculated under the double harmonic parallel-mode approximation, using the XMCQDPT2/CASSCF(14,13)//EFP excited-state gradient calculated at the Franck-Condon point. Vibrational analysis was performed in the ground state using the PBE0/(aug)-cc-pVDZ//EFP method. For all electronic structure calculations, the Firefly computational package30 was used.