The Influence of Radiation on Confinement Properties of Nuclear Waste Glasses

Self-irradiation can affect durability of glasses used to immobilize high-level nuclear waste (HLW).*e stability of glasses can also be indirectly affected by the radiolytic changes in contact water leading to decrease in its pH although this is unlikely to occur for disposal systems where the interaction of groundwater with glass is delayed to times when radiation dose rates are decreased to levels insignificant to cause such effects. Besides, interaction of the water influenced by radiation with other repository protective elements (container and bentonite) will suppress the radiolytic changes. Literature analysis shows practical absence or very weak effect of self-irradiation on structure and characteristics of borosilicate glasses with typical content of nuclear waste. Data for aluminophosphate glass used in Russia have showed that, after c-irradiation with a dose of 6.2·10Gy, the leaching rates of elements were decreased approximately twice relatively to pristine samples.


Introduction
Safe and effective management of nuclear waste is crucial to ensure the sustainable utilization of nuclear energy [1]. Radioactive waste, which is a toxic by-product from nuclear fuel cycle, should be immobilized into a robust form (matrix) before its temporary storage and consequent disposal [2]. Durable wasteform materials used for this purpose provide the most important barrier contributing to overall performance of storage and disposal systems [3]. Currently only vitreous matrices (B-Si and Na-Al-P glasses) are applied throughout the world for high-level waste (HLW) immobilization [2][3][4]. Alkali-borosilicate (ABS) glasses are used for vitrification of HLW except Russia that uses sodiumaluminum-phosphate (NAP) glasses ( Table 1).
One of the actual tasks is to analyse the effects caused by self-irradiation of nuclear waste glass properties. Self-irradiation occurs in glasses hosting nuclear waste and causes complex radiation-induced changes. e role of self-irradiation in the behavior of nuclear waste glasses is not understood fully, and experimental evidence is controversial ranging from insignificant to a notable impact [17][18][19]. For example, formation of structural defects due to irradiation can enhance diffusion of cations in glasses as well as leaching rates. On the contrary, radiation-induced annealing of glass normally reduces leaching rates [5,20].
Vitrified HLW is placed in hermetically sealed containers pending disposal in geological disposal facilities (GDFs) at a depth of 0.5-1 km. In hundred years after completion of operation, the GDF with vitrified HLW will be eventually filled with groundwater [6]. Over time, the containers will corrode, and underground water will contact vitrified HLW. e composition of HLW immobilizing glasses is the result of a compromise between desire to increase capacity in relation to hazardous radionuclides, manufacturing ability, and reliability of radionuclides confinement [6][7][8][9][10][11][12]. Most industrial HLW vitrification plants in the world preferred borosilicate glass. Borosilicate glasses along with aluminum-phosphate glass are considered as a promising material for vitrification of HLW in Russia. e advantages of aluminum-phosphate glasses are due to their lower melting temperature, one-stage technology of production from the liquid state, and therefore, a more economical technology for its manufacture. Also, the glass has a high solubility of sulphates, chromates, and molybdates [7,13]. However, it also possesses essential drawbacks: a higher leaching rate in water on increase in temperature compared to borosilicate glasses [21] and the presence of chain catalytic crystallization in air at temperatures of 250-300°C in the presence of unsaturated water steam [22]. In borosilicate glasses, steam hydration at such temperatures produces only thin outer surface layer with thickness from 10 μm [23] to several millimetres for a long time [24], whereas sample of aluminum-phosphate glass cubic in shape and edge equal to 1 cm was crystallized during a day at 300°C and 66% air humidity. e source of intensive radiation in HLW is decay of waste radionuclides. e thermal energy released during this process leads to a significant increase in the temperature of vitrified HLW located in the storage facility and final repository. According to the estimates [17], temperature in the Yucca Mountain disposal facility can exceed 250°C. e radiation can also affect the properties of vitrified HLW and change its stability when interacting with groundwater. is interaction can lead to an increase in radionuclide release from glass to groundwater and ultimately reduce the safety of the disposal facility. is paper discusses the impact of self-irradiation on properties and reliability of nuclear waste glasses used as HLW matrices based on an analysis of published data.

Sources of Self-Irradiation in Vitrified HLW
A wide range of immobilized radionuclides causes various sources of self-irradiation of vitrified HLW, including α-decay of minor actinides, β-decay of fission products, c-radiation resulting from the decay of radionuclides, and (n, α) nuclear reactions [5]. Dynamics of α-and β-self-irradiation of vitrified HLW is presented in Figure 1.
α-Decay of minor actinides especially for Np, Am, and Cm takes place in HLW. As a result, two charged particles are formed: a helium ion with an energy of the order of 4-6 MeV and the so-called heavy recoil nucleus, i.e., the nucleus of a mother radionuclide that has lost an α-particle and received an energy of the order of 0.1 MeV due to the law of conservation of momentum (Table 2). e difference between defense and commercial HLW is due to the depth (degree) of burnup of spent nuclear fuel (SNF) extracted from reactors. In the case of defense use, the burnup is an order of magnitude smaller compared with commercial use so that there is no large production of even isotopes of plutonium such as 240 Pu in the fuel, but rather accumulation of fissile radionuclides such as 239 Pu to create atomic bombs. As a result, commercial SNF has a different composition-a much larger content of fission products and minor actinides, which is why the SNF and the HLW resulting from its reprocessing has a much higher activity, which is clearly seen in Figure 1.
In addition, α-decay is accompanied by c-radiation caused by deexcitations of radionuclides (c-transitions). Over a million years, the integral density of α-decays will amount 10 19 events per gram in vitrified defense HLW [6,17] and 2 × 10 20 events/g in the commercial vitrified HLW, resulting from reprocessing of spent fuel of nuclear power plants ( Figure 2).
Collisions of charged particles with atoms of elements of borosilicate glass lead to atomic displacements and can cause   Figure 1: Absorbed dose (Gy) of HLW according to [17]. 1, α-radiation of defense HLW; 2, α-radiation of commercial HLW; 3, β-radiation of defense HLW; 4, β-radiation in commercial HLW.
changes in glass structure.
e α-particle receives more energy than the recoil nucleus, but the number of atomic displacements due to the recoil nuclei significantly exceeds the number of displacements from the α-particle, forming cascades of displacements. So structural changes in vitreous radioactive wasteforms are largely due to cascades of atomic displacements of glass structural elements generated by recoil nuclei than collisions with α-particles. When stopping, the charge of α-particles is neutralized, and α-particles are transformed into helium atoms. An increase in the helium content in the sample and partial violations of glass structure can thus change properties of borosilicate glass, its density and stability when interacting with hot water.
β-Decay of fission radionuclides, mainly of 137 Cs and 90 Sr, takes place as follows: e half-life in the first reaction is about 30 years and the second 2.6 minutes. e disintegration of 90 Sr occurs also as a two-stage reaction: e half-life in the reaction of the first stage is 28.8 years and the second 64 hours. At the end of the two-stage fission of 137 Cs and 90 Sr, stable isotopes Ba and Zr are formed. e energy of β-particles generated during the decay lies in the range from several hundred keV to 1 MeV. Due to the relatively short half-lives of 137 Cs and 90 Sr, half of the dose of β-radiation is obtained by vitrified HLW during the first 10-30 years of storage [5,17]. e total dose of β-radiation received by vitrified HLW for 10 thousand years is 3 × 10 9 Gy (Table 2). e effect of β-radiation is associated, firstly, with collisions of electrons with the atoms of elements of vitreous matrix and breaking of bonds between them. At the second, Ba 2+ and Zr 4+ forming instead of Cs and Sr have radii of 20% less than that of Cs + (Ba 2+ ) and 29% less than that of Sr 2+ (Zr 4+ ). Both these factors can affect properties and durability of borosilicate glasses in underground waters. e processes of α-and β-decay are accompanied by intense c-radiation. In addition, c-radiation is the result of electronic collisions at low braking energies. e absorption of gamma rays by electrons of glass structural elements can lead to breaking of chemical bonds, including that of oxygen atoms, appearance of unbound ions, and formation of free oxygen in glass. e dose of c-radiation, in which ABS glass with HLW absorbed in 10,000 years, will be 2 × 10 9 Gy.
ere is a self-irradiation source characteristic to nuclear borosilicate glasses only-so-called (n, α) reaction, which occurs as follows. Neutrons formed in the decay reactions (spontaneous fission of minor actinides), as a result of collisions with other atoms, gradually lose their kinetic energy and become thermal; i.e., their energy is reduced to the level of gas molecules under normal conditions. Selfirradiation of borosilicate glasses with thermal neutrons leads to an (n, α) reaction: 10 e decay energy is divided unevenly between products of (n, α) reaction: the energy of α particle is approximately equal to 1.48 MeV, and the energy of lithium ion is 0.48 MeV. After a relatively rapid deceleration, the α-particle produces a helium atom. HLW contains a low amount of minor actinides that can serve as a source of neutrons due to spontaneous fission. erefore, in comparison with three discussed above sources of self-irradiation, the reaction (n, α) plays a subordinate role.

Research Methods
An important problem that arises at estimation of long-term safety of HLW disposal is the need to study processes that occur for many thousands of years, both their initial and final stages being equally important. e complexity of these processes and special requirements for reliability of their analysis do not always allow the development of theoretical models with high accuracy, and direct experimental research of processes on such a timescale is unrealistic. erefore, an important task is to develop the experimental techniques that allow, within an acceptable period of time, to determine the main characteristics of events under study throughout its entire duration. e main irradiation methods including   (Table 3) due to α-irradiation: 1, defense HLW; 2, civil HLW with a low content of minor actinides; 3, HLW with a high content of minor actinides.
Science and Technology of Nuclear Installations 3 accelerated ones are shown schematically in Figure 3 [2] and briefly discussed below.

Doping of Glass with Radionuclides.
Intensively emitted radionuclides allow investigating the effect of irradiation on durability of glasses. Radionuclides with short half-lives are used to reduce the time required to accumulate a given total radiation dose. To study the effect of α-decay, typically shorter-lived radionuclides such as 244 Cm and 238 Pu are used [4,6,7,25,26]. An undoubted advantage of this method is its ability to evaluate the uniform effect of radiation on the bulk sample volume. A feature of this method is the need to work with highly radioactive samples. e main disadvantage is the probability of artifacts caused by an excessively high level of radiation exposure. To analyse this possibility, experiments are performed on glasses containing different amounts of radionuclides, and the results are compared [4,5]. It can be noted that the effect of increased α-radiation intensity on the density of borosilicate glass is rather small ( Figure 4). We note that, in France, the bulk of SNF was reprocessed and the largest amount of vitrified HLW was vitrified. is is why French glasses ( Figure 4 and Table 3) are the most studied and can be considered as a reference for comparison.
It has been recently revealed that highly alpha-radioactive borosilicate glass doped with 0.5 wt.% of 238 PuO 2 in aqueous solutions behaved essentially differently in comparison with nonradioactive glass of similar chemical composition due to effects of radiolysis combined with radiation damage that considerably accelerated glass alteration under saturated conditions and led to formation of a nondurable gel layer on glass [26].

Study of Real Vitrified HLW.
is method is not quite suitable for studying the effect of α-radiation, the source of which is long-lived actinides. However, in this case, a long observation period is not required because the glass receives half of the total dose of β-and c-radiation already within the first 10-30 years after being placed in storage or disposal sites. To study the effect of β-and c-radiation, numerous investigations were performed on vitreous waste forms since 1970s, both with nonradioactive and radioactive imitators buried in real geologic environment such as limestones and clays [27,28]. Duration of the field tests was up to 30 years, and the glasses studied contained 134 Cs, 90 Sr, and 239 Pu. e total radioactivity of the sample reached 500 MBq/g by sum of β-and c-emitted nuclides.

Method of External
Exposure. Borosilicate glass samples are bombarded with helium ions (to simulate α radiation and (n, α) reactions), neutrons (in research reactors), electrons (including using SEM and TEM), and c-radiation (from sources containing 137 Cs and 60 Co isotopes). To more accurately simulate real processes of α-decay in borosilicate glasses, the samples are simultaneously bombarded with helium ions and substantially heavier elements. Significant doses of α-irradiation can be reached under conditions of necessary cooling of samples during bombardment. is method is also quite effective for providing significant doses of β-radiation in a short time. When using SEM and TEM, the total dose of 1 × 10 9 Gy is accumulated in 1 min, while the total dose of β-irradiation for 10 6 years is 4 × 10 9 Gy (see Table 2). It should only be borne in mind that low-energy electrons of SEM are inhibited in the sample and create a negative charge in it, which accumulates over time and begins to repel new electrons.
Method of c-irradiation was used in many works [4-7, 13, 17, 18, 29]. However, the total dose was of the order of several MGy, which corresponds to a storage time of glass of about 1 year. By 2017, in only one work [29], the total dose of c-radiation has reached 0.85 × 10 9 Gy, which corresponds to twenty years storage of real HLW. To study the effect of radiation on properties of glasses, neutron irradiation of samples was also used [17]. Fast neutrons lead to multiple displacements of the atoms as a result of collisions with structural elements of borosilicate glass; however, this only partially resembles elastic collisions of atoms with α-particles and recoil nuclei formed during α-decay. erefore, the results of such experiments have limited application.
Another technique is based on thermal neutron irradiation of glasses containing fissile materials such as 235 U. After absorption of thermal neutrons, nuclei of these radionuclides decay. As a result of decay, massive fission fragments are formed, which, when they collide with structural elements of glass, create an effect similar to action of recoil nuclei formed on α-decay on glass. However, in this way, it is possible to ensure only a relatively small number of decays in the unit mass of the sample, significantly less than the number of α-decays in real storage conditions of vitrified HLW (Table 2). e third technique related to neutron irradiation is used in the experiments with borosilicate glasses irradiated with thermal neutron fluxes and is based on the reaction (n, α). However, as in the previous method, in this way, it is possible to achieve only very limited values of the total dose of the sample irradiated. Due to the above drawbacks, all methods based on use of neutron irradiation of samples are used relatively rarely.

Molecular Dynamic Simulation.
By molecular dynamic (MD) simulation, the accumulation of damage in nuclear waste materials is studied to the displacement per atom (dpa) level corresponding to any necessary time of storage. MD simulation of the displacement cascades associated with the deceleration of heavy atoms with kinetic energy ranging from several hundred eV to a tenth keV is used to investigate changes in solids ( Figure 2). MD simulations can predict resistance of crystalline materials to amorphization caused by radiation damage. is was demonstrated for several systems [30] where simulations reproduce well-experimental data. For example, collision cascades result in structural damage that is retained in SiO 2 and recovers in Al 2 O 3 consistent with data that show low and high resistances to amorphization of SiO 2 and Al 2 O 3 , respectively [31]. MD simulation was used for glasses generated by rapid quenching to simulate structural changes induced by alpha-decay irradiation [32]. e increase in glass free volume and decrease in the glass polymerization index are the main factors that explain the decrease in hardness of the irradiated glass. ese results prove that changes in glass density and mechanical properties under alpha-decay self-irradiation are induced by the α-particles and recoil nuclei.

Molecular dynamics simulations
Low-or high-energy ion beams     [4,5]. Composition of the glass is given in Table 3.  Figure 5 presents changes in density of borosilicate glasses produced at AREVA, La Hague (France), resulting from α-irradiation. e required total doses corresponding to the irradiation doses of vitrified HLW in storage for 10 4 or 10 6 years were achieved by introducing actinide impurities with short halflives 244 Cm [33]. It can be noted that changes in density of glass are rather small and α-irradiation can lead to both decrease and increase in its value (Figures 4 and 5). To approximate the dependence of glass density on the absorbed dose of α-radiation, the following formula is applied [4]:

Changes in Density and Structure of Borosilicate Glass.
where V is the specific volume, numerically equal to inverse density, V � 1/ρ; ρ is the density of glass; ΔV is the change in the specific volume of glass under α-irradiation; D is the total dose of α-irradiation absorbed by sample; B is a coefficient; and A is the amplitude of the changes. According to experimental data, A � ± 1.2 rel.%, and this value is achieved at D � 2 × 10 18 α/g. Changes in the density of borosilicate glass are stabilized at a total dose of α-irradiation of more than 4 × 10 18 α/g [34]. Structural changes in glass upon α-irradiation are due to a cascade of displacements caused by recoil nuclei. ese changes are similar to changes in the glasses of same composition but without radionuclides at increase in their quenching temperature. Over time, changes in the structure of borosilicate glasses caused by α-irradiation are spontaneously compensated. Structural changes under the influence of α-radiation are expressed in an increase in the degree of disorder of the glass network. However, these changes and the associated density change are relatively small. is is most probably because the glass structure is inherently disordered by its very nature [5]. It should be noted that, with a slight change in density, the strength characteristics of borosilicate glasses under the influence of α-radiation noticeably deteriorated.
us, Young's modulus decreases by 15-30 rel.%, and the growth of fracture toughness can reach 50-100 rel.% [4,7,17]. is decrease in strength properties was explained by decrease in the degree of polymerization under α-irradiation as a result of breaking electronic bonds between atoms of structural elements of the glass. e chemical resistance of vitrified HLW can substantially depend on degree of crystallization of the glass. However, up to a total level of α-activity of 10 19 α/g, phase separation in borosilicate glass was not observed. According to Weber et al. [17], this level of activity approximately corresponds to a storage time of HLW equal to 10 4 years. erefore, we can assume that the effect of α radiation on the separation (crystallization) of phases in borosilicate glass is practically absent.

Helium Generation in Borosilicate Glass.
As a result of collisions with atoms of structural elements of glass, the α-particle is decelerated and neutralized, and it turns into a helium atom. In [17], it is noted that, at normal temperatures, most of helium formed accumulates (bubbles) in the glass; at 170°C, from a half to 100%, helium migrates to the glass surface and leaves it. It was previously believed that changes in density of glass under the influence of α-radiation are associated precisely with this process of helium generation up to the formation of helium bubbles. Inagaki with coauthors [35] observed formation of helium bubbles with a diameter of 0.15-0.35 μm at a total dose of 2.75 × 10 25 α-decays/m 3 . e average bubble diameter was 0.23 μm, and their distribution density in the glass was 10 17 bubbles per 1 m 3 . According to Inagaki et al. [35], the higher the concentration of helium atoms in glass, the lower the temperatures of gas bubble formation. However, when studying glass of the same composition and values of specific α-activity [34], helium bubbles were not observed up to the limit of electron microscope resolution of 10 nm. e differences in the results obtained in these works can be explained by inhomogeneities of glass. is assumption is supported by the fact that the size of gas bubbles decreased with increasing annealing time [35]. Helium resulting from α-decay can be in the glass in a dissolved state. According to Gutierrez et al. [36], the limit of dissolved helium in French SON68 borosilicate glass is 2 × 10 21 atoms/cm 3 (2.5 at.%). Formation of nano-sized helium bubbles is possible when the concentration of dissolved helium in glass exceeds 3 at.%, and this is 30 times higher than the helium content in glass after 100,000 years of HLW storage ( Figure 2). us, taking in account total doses of α-radiation corresponding to actual storage times of HLW, the formation of helium bubbles in borosilicate glass due to α-decay is unlikely. When analysing the possibility of formation of gas bubbles, one more effect associated with gas generation should be considered, which is a characteristic of changes in borosilicate glass as a result of α-decay reactions. e increase in temperature due to α-decay shifts the following reaction to the right part:  is leads to a change in the coordination number of boron atoms in the glass structure and to formation of free oxygen gas.
us, it is possible that, in experiments of Inagaki et al. [35], bubbles are formed not by pure helium but consist of its mixture with oxygen.
Irradiation of borosilicate glasses with heavy ions simulating recoil nuclei leads to more significant changes than irradiation with helium ions (α-particles). Along the track of displacement cascades initiated by the collision of heavy ions with atoms of structure, the local thermodynamic temperature due to collisions of atoms increases significantly up to the melting temperature of glass. When an α-particle moves, 99% of its energy is spent on electron collisions with a braking energy of 0.5 keV. is does not lead to a significant increase in temperature, so its local values in this process do not exceed 600°C, which is less than the glass melting point. However, due to this heating, a local decrease in the disorder of the glass structure occurs. As a result, when glass is bombarded with both heavy and He 2+ ions, structural damage to glass by heavy ions (the so-called "ballistic melting" along the tracks of the displacement cascade) is partially restored due to bombardment by helium ions [37].

Phosphate Glasses.
Ion beam irradiation was employed to simulate process of the alpha decay of actinides in iron phosphate nuclear waste glasses [38]. Bismuth and helium ions of different energies have been selected for simulating glass matrix modification owing to radiolysis and ballistic damage due to recoil atoms. After 2 MeV Bi ion irradiation, it was suggested breaking of dimers (P 2 O 7 ) 4− and forming (PO 4 ) 3− monomers, which result in depolymerization. e spectroscopy results suggested that depolymerization and breaking of Fe-O-P and P-O-P bonds are attributed to synergetic effect of nuclear and electronic losses. Helium blisters of micron size were seen in the glass sample irradiated at low helium ion with the energy of 30 keV. Helium bubble formation observed at high fluence of 2 × 10 17 ions/ cm 2 was attributed due to limited solubility of He atoms in the iron phosphate glass.

Effect of β-Radiation
β-Irradiation of HLW waste glasses produces very few direct atomic displacements from ballistic collisions (atomic displacements from c-radiation considered negligible); e.g., atomic displacement rates in HLW glass caused by β-radiation are two to three orders of magnitude less than that due to alpha decay [33]. Essentially, β-irradiation on borosilicate glass results in breaking of bonds between elements and changing of tetravalent boron to trivalent [5]. e result of that is the formation of free oxygen and an increase in the disorder of the glass structure. Free oxygen formed as a result of bond breaking can accumulate in bubbles. According to Gin et al. [4], this occurs when the total radiation dose exceeds a certain critical value in the range of 10 10 -10 13 Gy, while the critical value depends on the sodium content in glass and temperature: at low Na 2 O contents (4 wt.%), maximum bubble formation was observed at 325°C, while at high Na 2 O contents (19-25 wt.%), it was found at 125-150°S.
Experimental results indicating changes in structure and density by more than few % as a result of β-radiation were obtained on simplified composition of glasses. Meantime, the borosilicate glasses used for real HLW vitrification contain up to 30 different components. Modifier elements in real glasses reduce the effect of β-radiation on glass properties to an insignificant level [6]. For example, transition metals serve as traps for electrons and holes generated during β-irradiation of glass, which leads to a decrease in the effect of electron bombardment of the glass until it disappears completely. Electron irradiation of SON68 glasses to a dose of 4.6 × 10 9 Gy which exceeds the expected total β-dose of vitrified HLW after 10 6 years (see Table 2) did not lead to any significant changes in the glass [6].
A major drawback of glass irradiation with low-energy electron beams (keV range) in scanning electron microscopes (SEMs) is the generation of a negative space charge build-up, due to the stopping of primary electrons within the sample. is results in a high field-assisted alkali migration, i.e., accumulation where electrons are implanted, and depletion at the surface and also in a significant local composition modification in the glass. e results obtained must be considered with care, given the material chemistry modification, and should not be considered representative of a nuclear waste ageing scenario. Glass irradiation with an electron beam (ranging in energy from 100 keV to 1 MeV) in transmission electron microscopes (TEMs) does not suffer from this drawback, as the electrons do not stop within the sample. Oxide glass can undergo structural transformations, including phase separation, oxygen bubble formation, and boron coordination changes. It has been proposed that the intense ionization induced by the high flux of an electron beam causes a decrease in glass viscosity, which favours alkali diffusion and drives phase separation [39]. Moreover, it has been demonstrated that electron stimulated desorption of alkali, oxygen, and silicon atoms or ions through inter-and intraatomic Auger deexcitations is important mechanism that can modify local compositions [40] and could influence glass structural transformation, mainly phase separation within a borosilicate glass due to the preferential depletion in alkali atoms. However, in these tests, the irradiation dose rate was higher by around seven orders of magnitude compared to that characteristic of actual HLW.

Effect of γ-Radiation
Numerous irradiations of glasses by c-rays have been performed; however, most of the studies have evaluated the response to doses lower than a few MGy, corresponding to less than one year of storage for HLW glasses. Only one study was performed at up to dose of 0.85 × 10 9 Gy [29]. Similar to electron irradiation, c-rays induce the formation of point defects whose nature and amplitude depend on the glass chemical composition. Multivalent cations, like transition metals and rare earths, reduce point defect generation and structural changes in the glass due to the trapping of Science and Technology of Nuclear Installations holes and free electrons. c-Irradiation, like β-irradiation, leads to the generation of point defects, consisting of broken bonds between the atoms of structural network of glass and as a result to an increase in disorder and generation of free oxygen. e formation of oxygen bubbles was noted in [41] at a c-radiation dose rate of 2.5 × 10 4 Gy/h and a dose of 10 7 Gy. At a similar total dose of 1.1 × 10 7 Gy obtained at a lower radiation intensity of 4 kGy/h, no bubbles were observed [42]. Appearance of oxygen bubbles was not observed at higher total doses of c-radiation [17]. is difference was due to the fact that too high irradiation intensities were used in experiments [41] with oxygen bubbles noted being an artifact caused by a methodological error-a fundamental discrepancy between the experimental conditions and the process in HLW glass forms under study. As in the case of β-irradiation, the presence of multivalent cations of transition metals in the glass diminishes the effect of defect generation. It was noted that the effect of c-radiation on borosilicate glasses properties is poorly studied. According to known publications, the total dose of c-radiation in experiments with borosilicate glasses did not exceed 0.85 × 10 9 Gy, while the total dose received by the glass in storage for 10 4 years is 2 × 10 9 Gy. In all tests with glasses of real composition, no noticeable structural changes were observed after c-irradiation. Only limited macroscopic effects were noticed with density changes lower than 0.5 rel.%.

Effect of Neutron Radiation
Irradiation of glasses in research reactors is done using the 10 B (α, n) 7 Li reaction which enables the generation of very high helium contents in glasses reaching around 0.5 at.% in several months of irradiation due to α-particles and 7 Li of energy of 0.84 and 1.47 MeV, respectively [6]. Since the bulk intensity of the (α, n) reactions in vitrified HLW is small, the question of effect of neutron irradiation on the properties of borosilicate glasses is of secondary interest. Changes in properties of borosilicate glasses after irradiation with a neutron flux of density up to 2.5 × 10 18 n/cm 2 at flux 2 × 10 13 n/cm 2 s were studied [43]. e compositions of the glasses are given in Table 4.
A moderate change in the density can be noted (about 2 rel.%), both positive and negative ( Figure 6).
No phase separation was observed, and all types of the glasses after irradiation with neutrons remained uniform. e neutron radiation density range studied is quite enough for analysing the effect of a neutron source such as the reaction (α, n) on the glass properties. erefore, the results obtained in [43] allow us to conclude that the real dose of neutron irradiation has a negligible effect on properties of nuclear waste borosilicate glasses.

Effect of Radiation on Leaching
From a practical point of view, one of the most important characteristics of any waste form is its durability, indicating on time frame during which the matrix can retain the radionuclides [5]. is parameter is determined by chemical stability of the matrix during its interaction with groundwater. e irradiation influences on the stability of the matrix have two factors: (1) a change in the structure and properties of the matrix under radiation and (2) radiogenic effects at the water-matrix interface, in particular, change in characteristics of groundwater due to its radiolysis (decrease in pH and so on). e authors in [5,20,44] have analysed the effect of selfirradiation on two corrosion mechanisms of nuclear waste glasses: (1) diffusion-controlled ion exchange and (2) hydrolysis.
e data obtained demonstrate that the ion-exchange stage of corrosion is among those that is most affected by self-irradiation. It was shown that rates of alkali ion exchange had a non-Arrhenius behavior depending both on total irradiation dose and dose rate and because of that some effects cannot be simulated by external irradiation and require in situ measurements [5,20]. At low temperatures of leaching, the concentration of radiation-induced defects significantly exceeds that created by thermal fluctuations; thus, radiation-induced effects are detectable, while at higher temperatures, there are no effects due to irradiation because of the high concentration of thermally induced defects. In addition, annealing of defects occurs at high temperatures [5,20]. Increases in dissolution rates up to 4-fold were noted in the leaching of preirradiated glasses at doses close to 10 9 Gy [45].   [43]. e neutron flux is 2 × 10 13 n/(cm 2 ·s). e glass compositions are shown in Table 4. 8 Science and Technology of Nuclear Installations Experiments carried out with c-irradiated glasses at high glass surface to solution volume ratio showed that c-radiation favored the incongruent dissolution of glass [46]. Highly incongruent glass dissolution was observed in c-irradiated in situ tests of waste glasses in Belgium Boom Clay; moreover, the glass corrosion mechanism becomes a more diffusion-controlled process in the presence of the radiation field [47]. Leach tests of French SON68 glass in silica-saturated solutions showed that ion-exchange rates are increased after irradiation, whereas hydrolysis remained unchanged [48]. Tests of radioactive glasses showed that initial leaching rates are significantly higher for radioactive samples compared to nonradioactive simulants although the long-term hydrolytic stage was unaffected [49]. Summarizing the data available [2,5,20,42,44] led to the conclusion that, in cases when corrosion occurs via diffusion-controlled ion exchange, the irradiation has a detectable and significant impact. is occurs at relatively low temperatures (≤50°C), low and medium pH (≤8), relatively high absorbed doses (>6·10 6 Gy), and for diluted solutions at initial stages of corrosion. e most important consequences of irradiation effect in these cases are as follows: (i) enhanced leaching rates and (ii) incongruent leaching (dissolution) at glass corrosion. On contrast, when hydrolysis takes control of glass corrosion as a dominant mechanism, then practically, no differences were found in corrosion behavior of nonirradiated and irradiated glasses.
ese conditions prevail at temperatures >50 o C and high pH of contacting water (>9) as well as at late stages of corrosion when, due to cationic depletion of near-surface glass layers, ion-exchange reactions are reduced.
In previous sections, it was noted that the radiogenic structural changes in borosilicate glasses are relatively small. However, local disordering and an increase in the density of fracturing can lead to an increase in leaching rate of glasses irradiated. e effect of α-irradiation on leaching rate of borosilicate glasses at 20°C was investigated by addition of 238 PuO 2 with a relative short (87.7 years) half-life [4,17,50]. Dynamics of changes in the leaching rate of UK189 borosilicate glass was analysed as a function of storage time of HLW (Table 5). Table 7 presents data on leaching rates after α-irradiation for glasses with 2.5 wt.% 238 PuO 2 . Irradiated glass was tested for leaching after a total dose of 1.1 × 10 18 α-decays/g [51]. e α-irradiation increases leaching rate at different temperatures by no more than 3 times. is conclusion is consistent with recent data [53], where glass bombarded with 197 Au ions to simulate displacements from recoil nuclei was studied. e dissolution rate for the irradiated glasses in these tests increased by 3.7 ± 0.5 times which is assumed proportional to the rate of motion of leaching front. It should be noted that the energy of gold ions is 945.6 MeV [53], while the energy of the recoil nuclei is close to 100 keV. Hence, in these experiments, the energy of particles initiating displacement cascades was overestimated by almost 10,000 times in comparison with actual conditions of α-decay in vitrified HLW. However, even in this case, the leaching rate increased by no more than 3-4 times.
Previously presented experimental data on effect of β-radiation on properties of borosilicate glasses, as in the case of α-radiation, indicate only insignificant structural changes in glasses at total doses and dose rates of β-radiation typical of vitrified HLW. However, even minor structural changes such as appearance of local inhomogeneities and formation of oxygen bubbles can lead to an increase in leaching rates of irradiated glasses upon their contact with groundwater. Data on effect of β-radiation on leaching rates of two types of borosilicate glasses are given in Table 8.
Glasses were bombarded for 10 days with electrons with energy of 0.5 MeV, and the total surface irradiation dose was 10 19 electrons/cm 2 , which was estimated to be equivalent to 3 × 10 9 Gy [51]. At a dose of β-radiation corresponding to 10 4 years of storage of HLW, the leaching rate increases by no more than 2 times. e dependence of leaching rate of glasses on temperature described by the Arrhenius formula is as follows: where J is the leaching rate, Jo is a coefficient, T is the absolute temperature, E a is the activation energy, and R is the universal gas constant. e activation energy in this case determines how much the leaching rate changes with temperature.
Experimental data indicate that α-irradiation which is not noticeable affects the activation energy of glass leaching reaction (Figure 7).
When studying the effect of irradiation on durability of glasses in contact with groundwater, it is necessary to bear in mind not only the effect of radiation on properties of glasses but also the radiolysis of contacting water. Both α-and β-radiation originated from the vitrified HLW penetrate the liquid to a relatively small depth. In this regard, insignificant volumes of liquid are exposed to radiation and hence to alteration due to radiolysis.
is will restrict a degree of influence of radiolysis on leaching in the case of α-and β-radiation. e penetration depth of gamma-radiation into the liquid is much greater. Accordingly, the volume of liquid in which radiolysis can take place is also larger. erefore, it can be expected that, in the case of c-radiation, the effect of radiolysis on glass leaching will be significant. A study of the effect of c-radiation on the leaching of borosilicate glasses taking account of radiolysis was carried out in [54] on the PNL 76-68 glass. Its composition is in wt.%: SiO 2 (39.80), B 2 O 3 (9.47), P 2 O 5 (0.48), Na 2 O (12.51), Fe 2 O 3 (9.77), TiO 2 (2.97), CaO (2), and 23 wt.% of modifiers and components of HLW. Samples were immersed in deionized water; the ratio of the sample surface area to the water volume was 0.1 cm −1 , and c-irradiation was carried out by a 60 Co source with a dose rate of 2.4 × 10 4 Gy/h. A comparison of data (Table 9) on nonirradiated (a) and irradiated preleaching (b) samples shows the role of c-irradiation of B-Si glasses on their leaching without water radiolysis.
Only a slight increase (<20 rel.%) in the contents of various glass components in solution after leaching can be noted. A significantly different result is obtained from a comparison of experiments on samples a and c (leaching was Science and Technology of Nuclear Installations carried out simultaneously with irradiation, but without contact of the leach solution with air). In this case, upon irradiation, the concentrations of individual elements in the solution increased by 4-5 times and the Zn concentration by more than an order of magnitude. It is notable that, in experiments with samples a and b, pH values of solution slightly increased from 5.7 to 7.2 during the experiment. In the test with sample c, the increase in pH was somewhat smaller. A comparison of results of experiments on samples a and d (this sample was irradiated during leaching, and the leaching solution was in contact with air) allows us to note an even greater contrast in concentrations of elements in the solution. Barium concentration, for example, increased by almost an order of magnitude. During the experiment on sample d, the pH value decreased from 5.7 to 3.3.
us, experiments in [54] unambiguously indicate that the effect of c-radiation on leaching rates of borosilicate glasses is relatively weak due to structural changes in glass under action of radiation and much stronger due to radiolysis of leaching solution. Moreover, this effect is most significant in the case when the solution is in contact with air.
e intensification of leaching in this case can be explained as follows. Under radiolysis of water, the concentration of complex ions containing oxygen and hydrogen increases. Nitrogen enters water from the air (the concentration of nitrogen dissolved in water is determined by Henry's law) and is oxidized by oxygen ions, which leads to formation of nitric acid accelerated leaching. is conclusion is supported by the decrease in pH during the run on sample d. A comparison of results on samples e and f shows    that this effect intensifies with rise of temperature. It should be borne in mind that the maximum dose of c-radiation in experiments [54] did not exceed 7.5 × 10 6 Gy, whereas, according to estimates, the c-radiation dose of vitrified HLW in storage for 10 4 years is equal to 2 × 10 9 Gy. It can be expected that, at these doses, the effect of c-radiation on durability of borosilicate glasses due to radiolysis of water will be even more significant.

Phosphate Glasses
Fewer data are published on effects of irradiation on properties of aluminum-phosphate glasses. is is mainly due to the fact that such glasses are industrially used as HLW matrix only in Russia, and they are not of practical interest for other countries. It was shown that, under the influence of electron irradiation even at low doses (0.8 × 10 23 electrons/ m 2 ), gas bubbles formed [55]. As the absorbed dose increases, the size of bubbles grows, and they move from the inner parts to the glass surface.  [56] which is analogue of the ASTM test procedure [57]. e normalized leaching rate J El (t) for the same glass elements runs approximately parallel to each other for both nonirradiated and irradiated glasses (Figure 8).    is suggests that, over the whole-time range, the ratio J El (t) obtained for the initial and irradiated glasses remains almost the same. e ratios of values of J El (t) after 12 days of leaching are shown in Table 10.
More information on this investigation can be found in [58]. us, as a result of c-irradiation, the leaching rate of the NAP glass has averagely decreased by about 2 times. is effect is probably explained by radiation-induced annealing that occurs in the other types of glasses [5,20].

Conclusions
From analysis of existing data, it can be concluded that α-irradiation and β-irradiation have a weak effect on structure of borosilicate HLW glasses at irradiation doses corresponding to the storage/disposal time of vitrified HLW.
is effect is manifested in a slight change in density of glasses by no more than a few percent, formation of oxygen-helium bubbles in glass with dimensions of 1 μm and less, and a local disordering of the glass structure. Structural changes lead to an increase in leaching rate of nuclear waste borosilicate glasses in water by no more than 2-4 times in the presence of radiation. e effect of water radiolysis due to α-irradiation and β-irradiation on leaching of nuclear waste borosilicate glasses can be notable. Process of c-irradiation affects structure of borosilicate and phosphate glasses in similar way as β-radiation. Effect of c-irradiation on the glass structure is insignificant and includes an increase in structural disorder, formation of oxygen microbubbles, and a slight change in density. e role of these structural changes for glass leaching is relatively small. A much greater effect on leaching of borosilicate glasses is exerted by radiolysis of water, which is more significant with c-irradiation than with β-irradiation. Within the doses up to 10 7 Gray, radiolysis due to c radiation increased the leaching rate of elements of borosilicate glasses by an order of magnitude. However, this is unlikely to occur in the disposal environment where the water is expected to contact the glass after corrosion of container in thousands of years when the intensity of radiation will be diminished. Research of Na-Al-Fe-P glass reveals that irradiation with a dose of 6.2 × 10 7 Gy decreased the leaching rates of elements approximately 2 times due to radiationinduced annealing of the glasses structure.

Data Availability
Data used to support findings of this study can be made available from the corresponding author upon request.

Conflicts of Interest
e authors declare that there are no conflicts of interest regarding the publication of this paper.