Ultrafast Processes Occurring in Radiolysis of Highly Concentrated Solutions of Nucleosides/Tides

Among the radicals (hydroxyl radical (•OH), hydrogen atom (H•), and solvated electron (esol−)) that are generated via water radiolysis, •OH has been shown to be the main transient species responsible for radiation damage to DNA via the indirect effect. Reactions of these radicals with DNA-model systems (bases, nucleosides, nucleotides, polynucleotides of defined sequences, single stranded (ss) and double stranded (ds) highly polymeric DNA, nucleohistones) were extensively investigated. The timescale of the reactions of these radicals with DNA-models range from nanoseconds (ns) to microseconds (µs) at ambient temperature and are controlled by diffusion or activation. However, those studies carried out in dilute solutions that model radiation damage to DNA via indirect action do not turn out to be valid in dense biological medium, where solute and water molecules are in close contact (e.g., in cellular environment). In that case, the initial species formed from water radiolysis are two radicals that are ultrashort-lived and charged: the water cation radical (H2O•+) and prethermalized electron. These species are captured by target biomolecules (e.g., DNA, proteins, etc.) in competition with their inherent pathways of proton transfer and relaxation occurring in less than 1 picosecond. In addition, the direct-type effects of radiation, i.e., ionization of macromolecule plus excitations proximate to ionizations, become important. The holes (i.e., unpaired spin or cation radical sites) created by ionization undergo fast spin transfer across DNA subunits. The exploration of the above-mentioned ultrafast processes is crucial to elucidate our understanding of the mechanisms that are involved in causing DNA damage via direct-type effects of radiation. Only recently, investigations of these ultrafast processes have been attempted by studying concentrated solutions of nucleosides/tides under ambient conditions. Recent advancements of laser-driven picosecond electron accelerators have provided an opportunity to address some long-term puzzling questions in the context of direct-type and indirect effects of DNA damage. In this review, we have presented key findings that are important to elucidate mechanisms of complex processes including excess electron-mediated bond breakage and hole transfer, occurring at the single nucleoside/tide level.


Introduction
This review begins with a summary on the earliest processes of water radiolysis highlighting that in dilute solutions only the indirect effect of radiation is predominant and neither direct ionization − is completed within 1 ps in water and extended to tens of picoseconds in alcohols [4,7,[9][10][11][12][13][14][15][16][17][18][19][20][21]. The characteristic timescale of proton transfer along the hydrogen bond from H 2 O •+ to the H 2 O molecule in liquid water is 30-200 fs [9,15]. In addition, dissociation of the excited state of water (H 2 O*) leads to • OH and H-atom (G = 0.5 mol J −1 ) via molecular fragmentation (Reaction R4) at electronic transition timescale. The reactions (R1-R4) proceed faster than the diffusion rate of radicals along the track and these are often thought to be the earliest physicochemical events in water radiolysis [22][23][24][25][26].
Knowledge of the initial and primary radiolytic yields of each water-derived radical at room temperature is the key issue in fundamental and applied radiation chemistry. Note that the "initial" yields are the yields of the species at the physicochemical stage of radiation events (~1 ps) and the "primary" yields are yields of the species at the chemical stage (at 200 ns) [22,[24][25][26]. Now, thanks to the development of ps pulse radiolysis, radiolytic yields of the species, such as the hydrated electron (e sol − ) and • OH at a few picoseconds, have been reported recently [27,28].
In dilute solutions (i.e., at concentrations, ca. 10 −3 M or lower), the direct ionization of the solute itself is negligible because most of the radiation energy is absorbed by the solvent [1][2][3]29]. The charge transfer processes that involve radiation-produced excess electron transfer due to the ionization of the solvent to the solute molecule as well as hole (i.e., unpaired spin) transfer from H 2 O •+ to the solute molecule is not likely to take place at a long distance [29][30][31]. As a result, between organics and water radicals in complex systems.
The concentrated solutions could also be employed as model systems to investigate radical reactions that are observed in the interfacial and biological systems [29][30][31]. Note that such reactions are not easy to study directly by the pulse radiolysis technique. The global concentration of macromolecules (DNA, RNA, proteins, etc.) in the cell nucleus are in the range of 65-220 mg/mL; therefore, the cell nucleus is not a homogeneous dilute aqueous solution [36]. Furthermore, dsDNA in a cell is densely packaged in nucleosomes, with the DNA wrapped around the histone protein core that forms the basic unit of the chromatin structure [36,37]. When ionizing radiation is applied, a part of the radiation energy is absorbed directly by biomolecules (direct effect), but a part is also absorbed by the water layer adjacent to biomolecules [31]. Therefore, the extent of contributions of the ultrafast effect and the indirect effect on the damage are complex and very difficult to understand if only observations in dilute solution are employed as the reference for such systems [29][30][31]. For instance, one-electron oxidants (SO 4 −• , Cl 2 −• , etc.) in dilute solutions or electron spin resonance (ESR) spectroscopy of irradiated samples in homogeneous frozen aqueous glassy solutions have been generally used to model the pathways involved in direct-type effects of radiation; however, these experiments do not exactly model the cellular environment at ambient temperature [30,31,38,39]. While studying concentrated solutions of halides, a possible reactivity of the excess electron and H 2 O •+ has been evoked by Hamill et al. [40]. This hypothesis remained under debate for several decades due to the limitation of the time resolution and to not having adequate knowledge of the yield of e sol − and • OH in the picosecond range. In the past decade, as represented in Figure 1, the electron transfer from solutes to the primary positive holes from the solvent in aqueous systems as an ultrafast pathway has been demonstrated quantitatively in solutions containing a large amount of halide salts and in acidic solutions (HNO 3 , H 2 SO 4 , H 3 PO 4 , etc.) [1][2][3]34,41]. The recently developed laser-driven picosecond pulse radiolysis technique has been established as an exciting new capability that provides > 5 ps time resolution for probing the dynamics of transient species and extends the capability to investigate chemical reactions covering a broader time range [42]. Even though the direct time resolution of our technique is limited to > 5 ps that cannot probe the dynamics exactly in real time, measurement of secondary radical formation yields allows us to address quasi-directly the reactivity of H 2 O •+ and presolvated electrons by altering the solute concentration ( Figure 1). 4 Figure 1. Ultrafast charge transfer from the water cation radical, H2O •+ , and excess electron attachment to the solute occurring in less than 1 ps in concentrated solutions; these processes do not occur in dilute solutions and reactions due to indirect effect of radiation are predominant in dilute solutions.
Applying this above-mentioned technique, we have shown that three distinct processes are involved in the formation of secondary radicals such as phosphate and nitrate radicals [35,41]: (i) reaction of • OH with phosphate anions and undissociated H3PO4 and HNO3 (indirect effect), (ii) direct ionization of phosphoric acid (direct effect of ionizing radiation on solutes), and (iii) reaction of H2PO4 − and NO3 − with H2O •+ . On the other hand, by observing a decreasing initial yield of esol − as a function of H3O + concentration at a similar timescale, we showed that the radiation-produced excess electrons reacted rapidly with H3O + [41]. Our results further established that the rate of this reaction is faster than the corresponding reaction of esol − by two orders of magnitude [41]. Thus, our results highlight the difference of the decay of a variety of water-derived radicals in the dilute and concentrated medium, and this is schematically represented in Figure 1.

Studies of Biomolecule Model Systems
Radiolytic studies of biomolecules (e.g., DNA) are more challenging compared to inorganic systems because of their structural complexities. This can be illustrated as follows: at first, the estimation of the extent of direct ionization of the solute and H2O •+ mediated oxidation of the same solute in bulk solutions is not well-established. For instance, in aqueous solutions of 5′-uridine monophosphate (UMP or URP (Uracil base (U), Ribose(R), and Phosphate (P))), correlation of the electron fraction (fs, Section 2.1.1) of UMP with UMP concentration indicates the probability of the direct effect (or, direct ionization) on the nucleotide occurring in the bulk phase, while a few of their corresponding cation or anion radicals were quantitatively measured at ambient conditions ( Figure 2). Applying this above-mentioned technique, we have shown that three distinct processes are involved in the formation of secondary radicals such as phosphate and nitrate radicals [35,41] [41]. Our results further established that the rate of this reaction is faster than the corresponding reaction of e sol − by two orders of magnitude [41]. Thus, our results highlight the difference of the decay of a variety of water-derived radicals in the dilute and concentrated medium, and this is schematically represented in Figure 1.

Studies of Biomolecule Model Systems
Radiolytic studies of biomolecules (e.g., DNA) are more challenging compared to inorganic systems because of their structural complexities. This can be illustrated as follows: at first, the estimation of the extent of direct ionization of the solute and H 2 O •+ mediated oxidation of the same solute in bulk solutions is not well-established. For instance, in aqueous solutions of 5 -uridine monophosphate (UMP or URP (Uracil base (U), Ribose(R), and Phosphate (P))), correlation of the electron fraction (f s , Section 2.1.1) of UMP with UMP concentration indicates the probability of the direct effect (or, direct ionization) on the nucleotide occurring in the bulk phase, while a few of their corresponding cation or anion radicals were quantitatively measured at ambient conditions ( Figure 2). 4 Figure 1. Ultrafast charge transfer from the water cation radical, H2O •+ , and excess electron attachment to the solute occurring in less than 1 ps in concentrated solutions; these processes do not occur in dilute solutions and reactions due to indirect effect of radiation are predominant in dilute solutions.
Applying this above-mentioned technique, we have shown that three distinct processes are involved in the formation of secondary radicals such as phosphate and nitrate radicals [35,41]: (i) reaction of • OH with phosphate anions and undissociated H3PO4 and HNO3 (indirect effect), (ii) direct ionization of phosphoric acid (direct effect of ionizing radiation on solutes), and (iii) reaction of H2PO4 − and NO3 − with H2O •+ . On the other hand, by observing a decreasing initial yield of esol − as a function of H3O + concentration at a similar timescale, we showed that the radiation-produced excess electrons reacted rapidly with H3O + [41]. Our results further established that the rate of this reaction is faster than the corresponding reaction of esol − by two orders of magnitude [41]. Thus, our results highlight the difference of the decay of a variety of water-derived radicals in the dilute and concentrated medium, and this is schematically represented in Figure 1.

Studies of Biomolecule Model Systems
Radiolytic studies of biomolecules (e.g., DNA) are more challenging compared to inorganic systems because of their structural complexities. This can be illustrated as follows: at first, the estimation of the extent of direct ionization of the solute and H2O •+ mediated oxidation of the same solute in bulk solutions is not well-established. For instance, in aqueous solutions of 5′-uridine monophosphate (UMP or URP (Uracil base (U), Ribose(R), and Phosphate (P))), correlation of the electron fraction (fs, Section 2.1.1) of UMP with UMP concentration indicates the probability of the direct effect (or, direct ionization) on the nucleotide occurring in the bulk phase, while a few of their corresponding cation or anion radicals were quantitatively measured at ambient conditions ( Figure 2). Secondly, in contrast to the small inorganic cation radicals, ultrafast formation of a DNA-hole i.e., a DNA cation radical ((DNA) •+ ) occurs upon ionization, resulting in the formation of holes with unpaired spins on the bases and on the sugar-phosphate [30,31,38,39,[44][45][46]. A substantial volume of work has been focused on radiation-induced hole-mediated damage in DNA via the oxidation pathway, as this pathway may lead to cellular death [29][30][31]38,39,. A fast base-to-base hole transfer process [29][30][31]38,39, and backbone-to-base hole transfer process [30,31,38,39,[43][44][45][46] leads to the localization of these holes at a nearby guanine base. It has been well-established that the stacks of guanine, for example, GG, GGG, etc. are the most stable hole localization sites after long range hole transfer [29][30][31]38,39,. Previous laser spectroscopic measurements or the use of one-electron oxidants (SO 4 •− ), which had often been used to model the pathways involved in DNA damage via the direct effect, were not able to probe these dynamics immediately following the ionizing radiation [29][30][31]38,39,. Another important point is that the dynamics of transfer and the localization of the radiation-produced excess electrons in DNA in the liquid phase are not fully understood [4,8,[29][30][31]38,39,[56][57][58][59][60][61][62][73][74][75]. When excess electron attachment occurs on a nucleoside target, it leads to a variety of excited states of the anion radicals, which can either undergo bond dissociation or relaxation to their ground states [4,[73][74][75]. Therefore, the extent and pathway of the radiation-produced excess electron-mediated reactions in bulk solutions are important and certainly play a key role in radiation therapy and radiation protection.
It is evident that the backbone-to-base hole transfer process should occur by very short-lived phosphate radical-mediated oxidation of the bases followed by a base-to-base hole transfer process (Scheme 1). Consequently, to provide evidence of the phosphate radical mediated oxidation of bases, which is the key step to model the backbone-to-base hole transfer process (Scheme 1), picosecond pulse radiolysis studies of the reactions between H2PO4 and the DNA bases-G, A, T, and C in 6 M H3PO4 at room temperature were performed [44].
It is evident that the backbone-to-base hole transfer process should occur by very short-lived phosphate radical-mediated oxidation of the bases followed by a base-to-base hole transfer process (Scheme 1). Consequently, to provide evidence of the phosphate radical mediated oxidation of bases, which is the key step to model the backbone-to-base hole transfer process (Scheme 1), picosecond pulse radiolysis studies of the reactions between H 2 PO 4 and the DNA bases-G, A, T, and C in 6 M H 3 PO 4 at room temperature were performed [44].
The phosphate radical, H 2 PO 4 • , was generated by direct ionization and via H 2 O •+ mediated oxidation of H 2 PO 4 − followed by deprotonation in 6 M H 3 PO 4 [44]. Analyses of the UV-visible pulse radiolysis spectra provided evidence for formation of DNA-base radicals via direct one-electron oxidation of individual DNA bases (G, A, and T) by H 2 PO 4 • in 6 M H 3 PO 4 ( Figure 3 and Table 1).
However, the rate of oxidation of protonated cytosine by H 2 PO 4 • appeared to be too slow to detect.
This work showed that H 2 PO 4 • oxidizes nucleobases bimolecularly. These results led to the conclusion that H 2 PO 4 • formed via direct ionization events in the sugar-phosphate backbone would oxidize the DNA bases; thus, these results could be treated as benchmarks of the backbone-to-base hole transfer process (Scheme 1). These results point out that the formation of the doubly charged DNA base cation radical (e.g., G 2+• ) from the activated complex (e.g., G(N7H + )-H 2 PO 4 • ) is much faster than the diffusion of reactants (i.e., G(N7H + ) and H 2 PO 4 • ) and is mediated by single electron transfer [44].

7
H3PO4). However, by taking into account a 3-dimensional model of charge transfer processes in DNA [86] and the proximity of the phosphate group to the base, the corresponding reaction in DNA could occur either by intramolecular through-bond electron transfer, or via intermolecular through-space electron transfer [44]. Therefore, the parameters that govern these two reactions (i.e., intermolecular and intramolecular) should be different. Nevertheless, this ps pulse radiolysis work demonstrated the direct observation of oxidation of the weakly protonated base, thymine by H2PO4 • , and can be treated as a model of backbone-to-base hole transfer [44]. The intermolecular hole transfer reaction between protonated guanine and H2PO4˙ formed by direct ionization and H2O •+ mediated oxidation in 6 M H3PO4 [44]. Reprinted with permission from [44]. Copyright, 2018, Royal Society of Chemistry.

Base-to-Backbone and Phosphate-to-Sugar Hole Transfer Process
ESR studies of irradiated DNA and irradiated model systems at 77 K showed that for successful formation of a sugar radical, a rapid deprotonation must occur from the one-electron oxidized sugarphosphate backbone before a competitive backbone-to-base hole transfer take place [30,31,43,45,46]. As a result, the picosecond pulse radiolysis measurements were extended to study the reactions of phosphate radicals with various concentrations of monomeric DNA or RNA-models, i.e., uridine 5′-  [44]. Reprinted with permission from [44]. Copyright, 2018, Royal Society of Chemistry. with standard redox potentials of nucleotide base cation radicals [44]. Of course, this particular pulse radiolysis study is limited to the fundamental model that represents only the reactions between phosphate radicals and DNA bases in a highly concentrated medium (6 M H 3 PO 4 ). However, by taking into account a 3-dimensional model of charge transfer processes in DNA [86] and the proximity of the phosphate group to the base, the corresponding reaction in DNA could occur either by intramolecular through-bond electron transfer, or via intermolecular through-space electron transfer [44]. Therefore, the parameters that govern these two reactions (i.e., intermolecular and intramolecular) should be different. Nevertheless, this ps pulse radiolysis work demonstrated the direct observation of oxidation of the weakly protonated base, thymine by H 2 PO 4

DNA Bases
• , and can be treated as a model of backbone-to-base hole transfer [44].

Base-to-Backbone and Phosphate-to-Sugar Hole Transfer Process
ESR studies of irradiated DNA and irradiated model systems at 77 K showed that for successful formation of a sugar radical, a rapid deprotonation must occur from the one-electron oxidized sugar-phosphate backbone before a competitive backbone-to-base hole transfer take place [30,31,43,45,46]. As a result, the picosecond pulse radiolysis measurements were extended to study the reactions of phosphate radicals with various concentrations of monomeric DNA or RNA-models, i.e., uridine 5 -monophosphate (UMP), uridine (Urd), uracil (U), ribose (Rib), and phosphate (P), that are biologically relevant [43]. Uracil derivatives were preferred to other nucleotides/sides because of their unique solubility in water. The radiation-mediated direct ionization of the sugar-phosphate moiety in UMP as well as the interaction of the sugar-phosphate moiety in UMP with H 2 O •+ become experimentally observable at ambient temperature and in solutions having high concentrations of UMP, which is associated with higher electron fraction.
In highly concentrated UMP aqueous solutions [43] (> 0.2 M) and just after the electron pulse, an absorption band was found to develop with a maximum at 520 nm. This band was attributed to the phosphate radical (H 2 PO 4 • ) that was formed either by direct ionization or by electron transfer to This assignment was based on the fact that the radical intermediate at 520 nm was found to be present only in UMP and was not detected either in the nucleoside (Urd) or in the base (U). The shape of this band was found to be nearly identical to that of the phosphate radical (H 2 PO 4 • ) previously found in the pulse radiolysis of concentrated phosphoric acid [1][2][3]41,44]. Additionally, the cation radical of ribose absorbs in the UV range below 300 nm, and the uracil base cation radical (U •+ ) from U has a different spectral shape. Thus, the possibilities that the location of the observed cation radical was either at the sugar or at the base were ruled out [43]. Due to the lower redox potential of the uracil base moiety relative to those of sugar and phosphate moieties [29], the holes are initially trapped on the uracil base in UMP, i.e., formation of U •+ MP occurs at first [43]. However, a facile and subsequent base-to-sugar hole-transfer process happens in a conformation of UMP •+ in which the sugar-phosphate moiety is proximate to U •+ MP (Scheme 2). This ultrafast process of hole transfer to ribose occurs at a shorter time than the ≤ 7 ps time resolution of our pulse radiolysis measurements and was not observed. At a higher concentration of Urd (1.5 M) no transient signal of U •+ rd was detected either [43]. The absence of signals due to U •+ MP and (Urd) •+ absorptions led to the conclusion that an intramolecular charge transfer process from base-to-sugar occurred within a picosecond time window in U •+ MP and [Urd] •+ . This base-to-sugar hole transfer might occur via tunneling and is similar to those found in one-electron oxidized gemcitabine [87,88] or migrate as was found for a phosphate system in water (Scheme 2) [43]. The directly formed UR •+ P (Scheme 2) was not detected due to the high concentration issues (the transient species could not be observed due to the high absorption of the unreacted solute in the UV region) [43,44]. Moreover, pulse radiolysis experiments with ribose-5-phosphate (RP) did not succeed because RP was found to rapidly degrade under radiation [43].

Scheme 2.
Ultrafast processes of charge transfer occurring in radiolysis of highly concentrated UMP water solutions. URP represents the composition of uracil base (U), ribose (R), and phosphate (P). Adapted with permission from [43]. Copyright, 2018, American Chemical Society.

Excess Electron-Mediated Bond Dissociation in Bulk Solutions
Although works from the late 70′s to date have established that radiation-produced electrons in their various stages exhibit different reactivity towards DNA subunits-bases and the sugarphosphate backbone-this field is hence under active debate [ Ultrafast processes of charge transfer occurring in radiolysis of highly concentrated UMP water solutions. URP represents the composition of uracil base (U), ribose (R), and phosphate (P). Adapted with permission from [43]. Copyright, 2018, American Chemical Society.
The hole localized on the phosphate subunit of UMP (UMP •+ ), at very short time, was shown to undergo a nearly first-order decay with a time constant of ca. 2.5 ns (Figure 4). This was assigned to a phosphate-to-sugar hole transfer process. We note here that the hole transfer process is likely to be either intramolecular or intermolecular [89]. Based on a model study of the bimolecular reaction between H 2 PO 4 • and ribose under highly acidic conditions in H 3 PO 4 solutions at longer time scale presenting evidence of a similar reaction (H 2 PO 4 • + Ribose → Ribose •+ + H 3 PO 4 ), the intermolecular hole transfer pathway was ruled out [66]. These results clearly showed that the Rib unit of UMP repairs P •+ intramolecularly in a few ns (Scheme 2) [43]. This phosphate-to-sugar hole transfer process is not temperature-activated as no noticeable impact on the lifetime and decay rate of UMP •+ (URP •+ ) was observed up to 60 °C. This experimental result showed that the activation barrier of this hole-transfer process was negligible [43]. These results clearly establish that the mechanism of formation of neutral sugar radicals is dominated by the fast deprotonation of sugar cation radicals, which form through a very rapid base-to-sugar hole transfer or phosphate-to-sugar hole transfer in the ground state (Scheme 2) [30,31,38,39,[43][44][45][46]66]. In addition, sugar radical formation has been observed via a rapid charge and spin transfer process from base to the sugar in the excited state of purine and pyrimidine base cation radicals (Scheme 1) [30,31,38,39,45,[90][91][92][93][94][95]. Hence, the decay of UMP •+ observed in UMP as well as the decay of H2PO4 • in H3PO4/ribose solutions provides evidence for a rapid phosphate-to-sugar hole-transfer process and subsequent deprotonation of the sugar cation radical thus formed. Accounting for the phosphate-tosugar hole-transfer process, we consider that once formed, UR •+ P remains stable for tens of nanoseconds in H3PO4/ribose solutions. It is well-established in the literature that carbon-centered neutral radicals formed in the 2′-deoxyribose moiety of the sugar-phosphate backbone are precursors of DNA-strand breaks [29][30][31]91,92]. Therefore, tracking the sugar radical formation in DNA is of crucial importance to elucidating the biological consequences of radiation [91,92]. This phosphate-to-sugar hole transfer process is not temperature-activated as no noticeable impact on the lifetime and decay rate of UMP •+ (URP •+ ) was observed up to 60 • C. This experimental result showed that the activation barrier of this hole-transfer process was negligible [43]. These results clearly establish that the mechanism of formation of neutral sugar radicals is dominated by the fast deprotonation of sugar cation radicals, which form through a very rapid base-to-sugar hole transfer or phosphate-to-sugar hole transfer in the ground state (Scheme 2) [30,31,38,39,[43][44][45][46]66]. In addition, sugar radical formation has been observed via a rapid charge and spin transfer process from base to the sugar in the excited state of purine and pyrimidine base cation radicals (Scheme 1) [30,31,38,39,45,[90][91][92][93][94][95]. Hence, the decay of UMP •+ observed in UMP as well as the decay of H 2 PO 4 • in H 3 PO 4 /ribose solutions provides evidence for a rapid phosphate-to-sugar hole-transfer process and subsequent deprotonation of the sugar cation radical thus formed. Accounting for the phosphate-to-sugar hole-transfer process, we consider that once formed, UR •+ P remains stable for tens of nanoseconds in H 3 PO 4 /ribose solutions. It is well-established in the literature that carbon-centered neutral radicals formed in the 2 -deoxyribose moiety of the sugar-phosphate backbone are precursors of DNA-strand breaks [29][30][31]91,92]. Therefore, tracking the sugar radical formation in DNA is of crucial importance to elucidating the biological consequences of radiation [91,92].
b. Similar to the base-to-base hole transfer processes (Scheme 1 and Section 2.1), via tunneling, the radiation-produced excess electrons that are attached to all bases and the backbone, are trapped by the most electron-affinic bases (T and C) resulting in the formation of thymine and cytosine anion radicals (T •− and C •− , Scheme 1) so that guanine and adenine anion radicals (G •− and A •− ) are not observed even at 4 K by ESR spectroscopy [29][30][31]38,39,45,[56][57][58][59]88].
The Sanche group showed that LEEs below ca. 4 eV can induce SSBs in plasmid DNA via DEA. Recently, the Sanche group has provided evidence that LEEs (0.5 to 30 eV) can lead to clustered lesions [102]. Extensive experimental and theoretical studies have established that the initial step involves electron capture into the unoccupied molecular orbitals that are above the lowest unoccupied molecular orbitals (LUMOs) of the parent nucleobase. This is termed a "shape resonance", thereby creating excited transient negative ion (TNIs*). Note that these "shape resonances" are well-characterized in the gas phase, but they collapse in condensed phases [4,8,98]. d.
Employing femtosecond pump-probe laser spectroscopy at room temperature in dilute aqueous solution, Lu and co-workers proposed that the TNI* produced via addition of epreto selected nucleotides could lead to the cleavage of the sugar-phosphate bond (Scheme 4) [4,101]. However, contrary to this proposal, recent works [43,74,75] employing picosecond pulse radiolysis have clearly and unambiguously established that TNI* formed via addition of epreto nucleotides do not cause bond cleavage in the sugar-phosphate backbone in water at room temperature, supporting the abovementioned ESR spectral results. We summarize our motivation, approach, and important results to resolve this very important controversy in the following section.
As was shown above, LEEs (eqf − ) successively lose energy to become thermalized electrons (eth − ) in a polar medium (e.g., water); in this process, LEEs undergo multistep solvation prior to their complete localization as esol − (Reaction R3, Scheme 1). The transition from eqfto esolis accompanied with the appearance of a strong optical absorption as the electron acquires a stable quantum state. This was established by time-resolved techniques, typically using a short pulse of high-energy In irradiated homogeneous aqueous LiCl glasses, radiation-produced electrons exist in shallow traps of ca. −0.5 eV and hence, these electrons are considered to be e pre - [30,[120][121][122][123][124][125][126][127][128][129]. Some 77 K ESR studies of reactions of e pre − with N-acetylalanylalanine methyl ester, N-acetylproline, and glycine methyl ester along with theoretical calculations employing density functional theory (DFT) provide evidence of bond breakage via DEA [124,125]. For example, addition of radiation-produced e pre to N-acetylalanylalanine methyl ester produces the TNI* that leads to subsequent cleavage of the carboxylic ester group to produce methyl radical. ESR studies in the 1980s showed that the TNI* formed via addition of e pre to esters undergoes O-C bond cleavage [126]. However, ESR spectral studies have shown that e pre adds to methyl acetoacetate at 77 K in homogeneous aqueous LiCl glass to form a TNI* that undergoes protonation from the surrounding solvent [127]. Thus, it can be expected that e pre can cause bond scission via DEA of the TNI*, as shown in Scheme 4. However, ESR studies indicated that the TNI* formed at 77 K, for example, via radiation-produced e pre addition to thymidine (Thd) or to the nucleotide, 5 -TMP, in homogeneous aqueous LiCl glass, did not lead to bond breakage [30,31,38,39,57,58].
Employing femtosecond pump-probe laser spectroscopy at room temperature in dilute aqueous solution, Lu and co-workers proposed that the TNI* produced via addition of e pre to selected nucleotides could lead to the cleavage of the sugar-phosphate bond (Scheme 4) [4,101]. However, contrary to this proposal, recent works [43,74,75] employing picosecond pulse radiolysis have clearly and unambiguously established that TNI* formed via addition of e pre to nucleotides do not cause bond cleavage in the sugar-phosphate backbone in water at room temperature, supporting the above-mentioned ESR spectral results. We summarize our motivation, approach, and important results to resolve this very important controversy in the following section. As was shown above, LEEs (e qf − ) successively lose energy to become thermalized electrons (e th − ) in a polar medium (e.g., water); in this process, LEEs undergo multistep solvation prior to their complete localization as e sol − (Reaction R3, Scheme 1). The transition from e qf to e sol is accompanied with the appearance of a strong optical absorption as the electron acquires a stable quantum state. This was established by time-resolved techniques, typically using a short pulse of high-energy electrons or a laser beam [43,74,75]. From the viewpoint of the action of LEEs, it is appropriate to suggest that a thorough understanding of the role played by short-lived non-equilibrated electrons would lead to a clearer picture of the basic mechanisms underlying the biological consequences of radiation. Therefore, a detailed knowledge of electron attachment to DNA/RNA in solution leading to the formation of the TNI* and the subsequent pathways of reactions that the TNI* undergoes (Scheme 4) is of fundamental importance [4,8,[29][30][31]38,39,43,45,[57][58][59][73][74][75][96][97][98][99][100][101][102][103][104][105][106][107][108][109]120,121]. However, these studies, even at a monomeric DNA-subunit (nucleosides, nucleotides) level, were lacking [43,74,75]. This may be due to challenges encountered in femtosecond laser spectroscopic investigations on the formation of TNI* and its reaction channels. In contrast, the accelerator technique delivers a high-energy electron pulse to the solvent, and hence generates LEEs in accord with those in radiation biology and allows us to investigate the chemistry induced by radiation-produced electrons in liquids.

Picosecond Pulse Radiolysis Measurement of the Initial Yield of Formation of e sol in a Solution Leads to Study the Reaction of e pre with Solute
The rationale of this approach is that the interaction of e pre with nucleobases can be investigated by measuring the initial yield of formation of e sol -. e sol displays a broad absorption band showing a maximum at 715 nm with a relatively high extinction coefficient under ambient conditions and thus can be detected with precision [43,74,75].

Reactivity of e pre with Nucleobases (X), Nucleosides, and 5 -Nucleotides (XMP) in Water
To test the above-mentioned approach, picosecond (≤ 7 ps) electron pulse (7 MeV) radiolysis coupled with UV-visible (UV-Vis) transient absorption spectroscopy was initially employed to explore the reactivity of e pre with nucleobases (X), nucleosides, and 5 -nucleotides (XMP) in aqueous solution.
It is evident from Scheme 5 that when the precursor of e sol reacts with nucleobase molecules in competition to its solvation, the yield of formation of e sol in solutions of nucleobases/nucleotides will decrease in comparison to that of e sol in water. The laser-triggered continuous probe light of the pulse radiolysis system has the advantage that it covers a broad spectral range from 380 to 1500 nm. This leads to the determination of yields and transient spectra of the resulting intermediates using the electron pulse [43,74,75]. Neither e pre nor e sol can induce direct dissociation of the DNA nucleobases via the DEA pathway in aqueous solution: Results obtained employing the ≤ 7 ps pulse radiolysis technique have established that escavenging by DNA nucleobases is not very efficient at moderate DNA nucleobase concentrations (≤ 50 mM) [74], especially, capture of eby the purine nucleobases, G and A, does not occur. As a nucleotide has higher intrinsic solubility than its nucleobase, investigation of the trapping of e pre and of e sol by a nucleotide became more effective than trapping of these species by the corresponding nucleobase [74]. Pyrimidine nucleobases are found to be more effective electron scavengers, with a decreasing reactivity order of T > C > A > G [74]; these results agree nicely with theoretically calculated values of adiabatic electron affinities of fully hydrated (solvated) nucleobases employing various theoretical methods including density functional theory (DFT) [8,73,121,130,131]. The rationale of this approach is that the interaction of eprewith nucleobases can be investigated by measuring the initial yield of formation of esol -. esoldisplays a broad absorption band showing a maximum at 715 nm with a relatively high extinction coefficient under ambient conditions and thus can be detected with precision [43,74,75]. Scheme 5. Reaction of eqf − and epre − with a solute can be investigated by measuring the initial yield of formation of esolat a picosecond timescale.

Reactivity of eprewith Nucleobases (X), Nucleosides, and 5′-Nucleotides (XMP) in Water
To test the above-mentioned approach, picosecond (≤ 7 ps) electron pulse (7 MeV) radiolysis coupled with UV-visible (UV-Vis) transient absorption spectroscopy was initially employed to explore the reactivity of eprewith nucleobases (X), nucleosides, and 5′-nucleotides (XMP) in aqueous solution. It is evident from Scheme 5 that when the precursor of esolreacts with nucleobase molecules in competition to its solvation, the yield of formation of esolin solutions of nucleobases/nucleotides will decrease in comparison to that of esolin water. The laser-triggered continuous probe light of the pulse radiolysis system has the advantage that it covers a broad spectral range from 380 to 1500 nm. This leads to the determination of yields and transient spectra of the resulting intermediates using the electron pulse [43,74,75].

Scheme 5. Reaction of e qf
− and e pre − with a solute can be investigated by measuring the initial yield of formation of e sol at a picosecond timescale.
Thus, these results clearly disagree with those obtained by using femtosecond laser spectroscopy [4,101,102]. However, they agree in part with those obtained in the 1970s by Hunt and coworkers [119]. They had pointed out that the occurrence of effective collisions of ewith amino acids and mononucleotides depends on the solute concentration and solution pH. Employing the embedded image trapping technique, the spectra of TNI*, i.e., nucleotide anion radicals (XMP •− *), formed via addition of e pre to the nucleotides were observed at 7 ps for the first time ( Figure 5).
Comparison of the initial electron formation yield with the quantity of electrons scavenged during their hydration suggests that the dissociation pathway of TNI*s (either X •− * or XMP •− *) and of TNIs (either X •− or XMP •− , here the transient negative anion is formed via addition of e sol to the nucleobase or its corresponding nucleotide) do not occur in the conditions of these experiments ( Figure 5).
14 Neither eprenor esolcan induce direct dissociation of the DNA nucleobases via the DEA pathway in aqueous solution: Results obtained employing the ≤ 7 ps pulse radiolysis technique have established that escavenging by DNA nucleobases is not very efficient at moderate DNA nucleobase concentrations (≤ 50 mM) [74], especially, capture of eby the purine nucleobases, G and A, does not occur. As a nucleotide has higher intrinsic solubility than its nucleobase, investigation of the trapping of epreand of esolby a nucleotide became more effective than trapping of these species by the corresponding nucleobase [74]. Pyrimidine nucleobases are found to be more effective electron scavengers, with a decreasing reactivity order of T > C > A > G [74]; these results agree nicely with theoretically calculated values of adiabatic electron affinities of fully hydrated (solvated) nucleobases employing various theoretical methods including density functional theory (DFT) [8,73,121,130,131].
Thus, these results clearly disagree with those obtained by using femtosecond laser spectroscopy [4,101,102]. However, they agree in part with those obtained in the 1970s by Hunt and coworkers [119]. They had pointed out that the occurrence of effective collisions of ewith amino acids and mononucleotides depends on the solute concentration and solution pH. Employing the embedded image trapping technique, the spectra of TNI*, i.e., nucleotide anion radicals (XMP •− *), formed via addition of epreto the nucleotides were observed at 7 ps for the first time ( Figure 5). Comparison of the initial electron formation yield with the quantity of electrons scavenged during their hydration suggests that the dissociation pathway of TNI*s (either X •− * or XMP •− *) and of TNIs (either X •− or XMP •− , here the transient negative anion is formed via addition of esolto the nucleobase or its corresponding nucleotide) do not occur in the conditions of these experiments ( Figure 5).
Thus, these time-resolved studies indicate that neither eprenor esolcan induce direct dissociation of the DNA nucleobases via the DEA pathway (   . Therefore, investigation of the complete time resolution of the esolvation versus its attachment processes is prevented due to the pulse width (5-7 ps) of the current high-energy electron pulse radiolysis system [43,74,75]. Relaxation of the electron (from e qf to e pre and ultimately to e sol -(Reaction R3, Scheme 1)) can be viewed as a multistep transition from the delocalized conduction band with p-like excited states to s-like ground states [4,9,75,130]. Nevertheless, the experimental characterization of the specific state of the electron that is required for the DEA processes remained elusive [75]. Furthermore, formation of the excited states of DNA anion radicals via electron attachment has been suggested [4,8,[29][30][31]38,39,43,45,[57][58][59][73][74][75][96][97][98][99][100][101][102][103][104][105][106][107][108][109]120,121], but has never been observed [74,75]. In order to achieve these goals, ps pulse radiolysis studies were carried out in diethylene glycol (DEG) for the following reasons: (a) ps Pulse radiolysis in the 1970s and 1980s established that the time of solvation of electrons in alcohols is of the order of several ps [75,132,133]. (b) Electron solvation events have been found to be relatively slow in diethylene glycol (DEG); these multistep events occur in approximately tens of picoseconds. In contrast to water, time resolution of ps pulse radiolysis in DEG provides the opportunity to follow the kinetics of both of e pre − and e sol − as well as to distinguish between the reactivity of e qf − and e pre − . (c) DEG's dielectric constant value (ε r = 31.69) has been found to be closer to that of a biological cell than that of water. (d) The native double-stranded structure of DNA and its biological activity can be retained in DEG [75,134], and (e) ribothymidine (rT), a DNA/RNA model, can be sufficiently dissolved (up to 0.5 M) in DEG to scavenge radiation-produced electrons within several ps. Thus, ps pulse radiolysis studies of various concentrations (0 to 5 M) of rT solutions led to the direct observation of the key transient species (e pre -, e sol -, and TNI* of rT •-*). Furthermore, these studies concluded that within the timescale of the electron pulse < 7 ps, e qf led to two distinctly localized electron-solvent configuration states-one in the infrared region (as a p-like state) and the other in the visible region, which is assigned to a vibrational hot ground state that gradually relaxes to form a solvated electron, e sol - [75]. These results showed that presence of rT does not affect significantly the electron solvation process in DEG; also, rT does not react with e pre on the time scale of hundreds of ps. Instead, a substantial decrease of the initial near-infrared absorbance was observed that correlated exponentially with increasing rT concentrations, showing an effective reaction was taking place between e qf and rT.
The spectrum of rT •-* observed in the ps timescale has been fully characterized [75] (Figure 6), and this spectrum is found to be different from the spectrum of the stable anion radical, rT •-, observed on the microsecond timescale in dilute DEG solutions at room temperature ( Figure 6). These time-resolved results presented in Figure 6 in combination with DFT calculations established that (a) rT •-* can be attributed to the excited state πσ*-MO of the anion radical, and (b) dissociation of rT •− * can occur via gradual relaxation of the structure by bond elongation leading to a barrier-free N1-C1 glycosidic bond cleavage through DEA (Scheme 4). These results further imply the generation of biomolecular damage does not necessarily require electrons carrying kinetic energy, i.e., damage to the TNI* (i.e., excited rT anion radical, rT •− *) occurs via dissociative electron transfer only by e qf − [75].  [75]. Reprinted with permission from [75]. Copyright 2019 Nature Springer.

Conclusion
The results presented in this review point out that pulse radiolysis is an effective tool to characterize the species (e.g., H2O •+ , TNI*, eqf -, epre -, etc.) and to investigate their reactions that are involved in the relevant physicochemical stage of radiation-mediated biomolecular damage by ionizing radiation in solution under ambient conditions. Two types of processes were investigated in the bulk phase: H2O •+ mediated hole transfer and excess electron mediated dissociative electron attachment. In the experiments that were carried out using highly concentrated UMP solutions, the UMP •+ is generated with a hole distributed over different sites by direct-type effects. The phosphate-sugar hole relaxation dynamics are characterized at a single nucleotide level, and it is clearly observed that the phosphate radical is repaired by sugar via charge and spin transfer. In parallel experiments, 6 M H3PO4 solutions containing DNA-bases were used to model the phosphate-to-base hole transfer in the absence of a sugar moiety. The excess electron attachment to nucleosides/tides has also been investigated. By observing the decrease of the initial yield of the esol -, the reactivity of epretowards DNA has been observed to follow the order of T > C > G >A, and the TNI* does not lead to bond breakage via DEA in liquid water. However, in similar (a) Absorption spectra of the anion radical at ground (blue) and excited state (red). Inset: decay of the excited state observed at different concentration. (b) Kinetics of the different species showing the fast decay of rT •-* and the formation of rT •by solvated electron. Inset: Scheme showing the reaction of quasi-free electron forming rT •-* in competition to the electron solvation process [75]. Reprinted with permission from [75]. Copyright 2019 Nature Springer.

Conclusions
The results presented in this review point out that pulse radiolysis is an effective tool to characterize the species (e.g., H 2 O •+ , TNI*, e qf -, e pre -, etc.) and to investigate their reactions that are involved in the relevant physicochemical stage of radiation-mediated biomolecular damage by ionizing radiation in solution under ambient conditions. Two types of processes were investigated in the bulk phase: H 2 O •+ mediated hole transfer and excess electron mediated dissociative electron attachment. In the experiments that were carried out using highly concentrated UMP solutions, the UMP •+ is generated with a hole distributed over different sites by direct-type effects. The phosphate-sugar hole relaxation dynamics are characterized at a single nucleotide level, and it is clearly observed that the phosphate radical is repaired by sugar via charge and spin transfer. In parallel experiments, 6 M H 3 PO 4 solutions containing DNA-bases were used to model the phosphate-to-base hole transfer in the absence of a sugar moiety. The excess electron attachment to nucleosides/tides has also been investigated. By observing the decrease of the initial yield of the e sol -, the reactivity of e pre towards DNA has been observed to follow the order of T > C > G >A, and the TNI* does not lead to bond breakage via DEA in liquid water. However, in similar experiments employing DEG solutions instead of water in which the electron relaxation can be resolved, the ps pulse radiolysis results along with DFT calculations showed unequivocally that only e qf and neither e pre nor e sol is able to dissociate the N1-C1 glycosidic bond in nucleosides via an excited state of the anion radical or TNI*. Recent molecular dynamics studies of the solvation of radiation-produced electrons showed that once LEEs are fully solvated (Reaction R3, Scheme 1), their reactivity is governed and limited by diffusion and hence the eventual damage due to radiation-produced electrons will be confined within the size of a cell [135]. Thus, if radiation sensitizers can be targeted only to the hypoxic tumor cells, better therapeutic efficacy will be achieved. Thus, the ps pulse radiolysis results are not only benchmarks for future theoretical calculations and experimental studies to elucidate radiation-mediated biomolecular damage, but they can also be employed to study hypoxic cell radiosensitizers.