{'fraction_non_alphanumeric': 0.032621099437295874, 'fraction_numerical': 0.01526777633494668, 'mean_word_length': 4.778535698044566, 'pattern_counts': {'":': 0, '<': 1, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 3, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Ceramics for high level radioactive waste solidification

Several countries reprocess their nuclear spent fuel using the Purex process to recover U and Pu as MOX fuel. The high level radioactive waste (HLW) produced during this reprocessing is a complex mixture containing both radioactive (fission products, minor actinides) and non-radioactive elements. Since HLW shows high rate heat release and contains some long half-life and biologically toxic radionuclide, its treatment and disposal technology is complex, difficult and high cost. HLW treatment and disposal become a worldwide challenge and research focus. In order to minimize the potential long-term impact of HLW, studies on enhanced chemical separation processes of long-lived radionuclides are in progress. Two options are then envisaged for these separated radionuclides: (a) transmutation into short-lived or non-radioactive elements, (b) immobilization in highly durable ceramic matrix instead of borosilicate glass. In this paper, we briefly review the composition, structure, processing and product properties of some ceramic candidates for inert matrix fuels (IMF) and the immobilization of high level radioactive waste.


Introduction
Every year about 10 500 tHM in spent fuel are discharged from the global nuclear power plants, up till now the total amount of spent fuel accumulated up to 280 000 tHM. There are two strategies for spent fuel disposal: once through and reprocessing. For once through strategy, the spent fuel is closed and deep geological buried (better known as open fuel cycle), its drawbacks include high cost for large volume of storage, waste of nuclear resources, pose the main radiotoxic risk after long storage time. If reprocessing is employed, the extracted U can be returned to nuclear fuel production line as fresh fuel, or U and Pu are recycled as mixed oxide (MOX) fuel in light water reactor or fast reactor.
After reprocessing, the residual high-level radioactive nuclides such as long half-time minor actinides (MA) and fission products (FPs) constitute a threat to the environment. For the closed or advanced fuel cycle as shown in Fig. 1, the high level radioactive waste (HLW) will be immobilized within suitable inert matrices for its interim storage and disposal inside deep geological repositories. Research is also being pursued to segregate and separately irradiate long lived MA and FPs within critical and subcritical reactors to  convert them into shorter lived radionuclides.
Portland cement-based systems and glassed have long been identified as candidate matrices for solidification and isolation of Low-and intermediate level radioactive waste, how to deal with the high-level radioactive fission products and MA is a challenge and research focus [2,3]. In the past few decades, HLW arising from nuclear fuel reprocessing plants is immobilized in borosilicate glass. In high temperature, high pressure and watery environment, microstructure of glass will change, as a result, radionuclides is very easy to be leached out by water. Because of high melting point, high thermal conductivity, radiation stability, ceramics are regarded as the second generation of HLW forms. Many results showed that ceramic forms have superior chemical durability to glass forms [4,5]. Ceramic incorporation of waste elements is based on the isomorphism of mineralogy. Most actinides and fission products can be incorporated into polycrystalline phases, such as zirconolite, perovskite and hollandite. Some elements, such as Mo, Ru, Rh, Pd, Ag, Cr, Fe, Ni, etc. are reduced to metal during the fabrication and are incorporated into ceramic as alloy phases [6].
Another innovation option for MA (e.g., 237Np, 241Am, 244Cm) and long lived FPs (e.g., 129I, 99Tc) disposal is transmutation by existing reactor or dedicated transmutation systems such as the accelerator driven systems (ADS). In this field, some research projects are started, such as ATW project in USA, OMEGA in Japan and EA project in European. In 1992, EFTTRA -T4 group was established, EFTTRA (Experimental Feasibility of Targets for Transmutation) is a network of research organizations in France (EdF and CEA), Germany (JRC-ITU and FZK) and the Netherlands (JRC-IAM and NRG), to study the transmutation of both americium and long-lived fission products technetium (99Tc) and iodine (129I) [7]. A pure lead cooled ADS reactor of 400 MWth dedicated to MA transmutation intended to be operational around 2040 in European under the EUROTRANS European project. At 2011, Chinese Academy of Sciences started a Strategic Priority Research Program named "Future Advanced Nuclear Fission Energy". ADS part will strive for self-development in the series key technologies from test facility to demonstrate facility.
In this paper, we briefly review some ceramic candidates for the transmutation and immobilization of HLW, in term of composition, structure, processing method and results.

Inert matrix fuel (IMF) for transmutation
Transmutation offers a means to reduce the radiotoxic inventory. In this case, MA should be first partitioned from the fission products in the reprocessed spent fuel and then incorporated in a fuel material. Different transmutation scenarios for MA are studied at present: mixing in fuels for existing reactors or in targets for ADS. In order to avoid the formation of new transuranium actinides due to the neutron capture by 238 U, fertile is replaced by an inert matrix (IM) is advantageous [8]. Inert means that the compound is constituted of elements with low neutron capture cross sections.
The main requirements are good thermal and mechanical properties for the matrix and chemical stability in the course of its evolution for the actinide phase. Possible ceramic or metal candidate materials have been selected with criteria concerning their basic properties (thermal and mechanical properties, activation with neutrons, and chemical compatibility with neighboring materials) and their behavior under irradiation. Currently, several ceramics have been assessed as IM oxides (e.g., ZrO 2 , MgO, Al 2 O 3 , MgAl 2 O 4 , Y 3 Al 5 O 12 , CeO 2 and pyrochlore-type zirconate), nitride (e.g., ZrN) or composites (ceramic-ceramic or ceramic-metal) [9][10][11]. The fissile atoms and the support matrix can either form a solid solution or be integrated in a composite fuel.
ZrO2 is the primary fuel matrix candidate internationally for IMF, however, it has low thermal conductivity and is difficult to reprocess using conventional processes, but its fairly good structure stability under irradiation, makes it a possible candidate that will be tested in near future. ZrN is considered one of the most promising inert matrices for nitride fuel cycles, since it has a low cross-section for neutron capture, high thermal conductivity and ZrN is thermodynamically stable up to high temperatures.
MgO provides good thermal conductivity, it is considered as a good candidate as IM [12]. Some irradiation tests showed that MgO-MA pellets appearance was much closed to the fresh one, very small swelling rates were observed for the MgO fuel. MgO is not stable in water-a severe drawback for use in light water reactors. Some IMF activities have focused on a ceramic solid solution of MgO-ZrO2. In this solution, the MgO provides good thermal conductivity and is easily dissolved in conventional acids while the ZrO2 provides resistance to water attack. After 700 h in 300°C deionized water at saturation pressure no cracking was found in MgO-ZrO2. Although the pellets exhibited hydration reaction at the surface, the bulk of the MgO is protected by ZrO2 [13].
Behavior of MgAl 2 O 4 spinel under irradiation is not fully understood up to now. Spinel behaves very well under high fast neutron fluencies, but fission products recoil or alpha decays product severe damage in the matrix. Irradiation test indicated that fast neutrons induce extensive dislocation-loop formation and big swelling in Al 2 O 3 fuel, alumina lost its position for transmutation. Other matrices, such as CeO 2 , Y 3 Al 5 O12, Y 2 O 3 have been tested under neutron irradiation but the examination being still underway, their potential as matrices remains to appreciate.
Normally, IMF was prepared by infiltration of porous ceramic pellets with MA nitrate solution. The porous pellets were prepared by traditional ceramic process, such as press and pre-sintering. The pellets were lowered into MA nitrate solution, and maintained under the surface of the liquid for at least 10 min. Upon withdrawal they were dried, and then calcined and sintered.
The infiltration technique can be automated, it is compatible with remote handling, and produces minimal quantities of dust and waste, as required for the production of MA fuel. However, further development is required to eliminate the possibility of inhomogeneities of the MA distribution in the pellets [14]. This inhomogeneity may be related to a non-uniform porosity of the uninfiltrated pellets or to a diffusion process during the thermal treatment.
IMF made by infiltration is called micro dispersed fuel, which shows high swell by the accumulation of helium (produced by alpha decay of 242Cm) in gas bubbles under irradiation.
As indicated in Fig. 2, if the dispersed MA particle with a size between 50 and 300 µm, the damage will then be restricted almost completely in the MA particle. This fuel is called macro dispersed fuel. Figure 3 illustrated the swelling and damage of micro dispersed fuel, these unsatisfactory behaviors have not been observed in macro dispersed fuel [15].
When irradiated at high burn up, the contained gas is released from the host phase which could also lead to swelling of matrix. To reduce the damage of IMF, some solutions are put forward, for example by inclusion of tailored porosity to accommodate swelling or provide channels for release, by decreasing the smeared density of the fuel to permit pellet swelling, or, by using non-pellet type designs such as sphere-pac or vipac fuels (as shown in Fig. 4) [16]. In this fuel, gas can be stored in the gap or release out through the particle boundary, swelling can be reduced or eliminated.
One advantage of sphere-pac fuels is the dustless fabrication of "pellet-like" fuel. The handling of radioactive powders can be minimized and remote operations are simplified and minimized by fabricating micro-spheres with sol-gel or gelcasting methods just like UO 2 kernels in high temperature gas-cooled reactor.
It should be note that in-pile test or simulate-irradiation test by accelerated beam must be investigated to assess the stability against the radiations produced in reactor. Under irradiation in reactor, three main sources of damage have to be considered for the IMF [11]: fast neutrons interaction, effects of fission fragments and alpha decay products (alpha particle + heavy recoil atom). These energetic particles produce damage through electronic and atomic interactions and the consequences that depend on the material, may affect significantly bulk properties: changes of lattice parameter, phase changes, amorphization, swelling, evolution of thermal and mechanical properties. Therefore, there are a lot of works to be done for the IMF materials, the material properties should meet requirements of ADS, and the process should be simple and low cost.

Immobilization of HLW by ceramics
The immobilization of highly radioactive waste  The vipac (up) and sphere-pac (down and right) fuel concepts [16]. materials in glass or ceramic hosts has been under investigation for many years. At the present time borosilicate glass is the generally accepted first generation waste form. As far back as the early 1950s, it was suggested that high level radioactive wastes could be immobilized in a polyphase ceramics. With the increasing demand for the immobilization of large quantities of HLW, there is a strong incentive to reconsider ceramic as waste forms. The use of ceramic materials depends upon the ability of the crystalline phases to accept a broad spectrum of chemical species within their lattices. HLW contains a variety of MA and FPs, and different ceramics exhibit different ability for incorporation of radionuclides. A ceramic is required not only to contain as much nuclides as possible but also to possess sufficient leach resistance for a long period of time. Among the many potential advantages of ceramic waste forms, five are most notable: (1) low leach rates for many crystalline phases; (2) long-term resistance to radiation damage; (3) high waste loading; (4) excellent thermal and mechanical stability; and (5) simple processing and low cost. Table 1 summarizes some candidates of ceramics for waste forms [17]. The common structure of these materials include: spatial framework or channel are formed through the common edge or vertex of metal oxide polyhedron. In these structures, radionuclide cations can insert into the channel easily.
A single phase sodium zirconium phosphate (NZP) with the composition NaZr 2 (PO 4 ) 3 has been the most widely studied ceramic waste form [18]. One advantage of NZP ceramic waste form is that it has a high waste loading. The NZP structure consists of a three-dimensional network of PO 4 tetrahedra sharing corners with ZrO 6 octahedra, with the interstitial space partly occupied by Na ions. It exhibits great compositional flexibility. Alkalis can substitute in the Na site. Divalent ions such as Ca, Ba, Fe, Mg, Pb, and Sr substitute for two alkali ions [19]. Rare earth elements are assumed to enter the Zr site, with charge compensation being necessary for trivalent rare earth elements. Trivalent Pu substitutes for Zr, forming either Na 3 Pu 2 (PO 4 ) 3 or Na 3 Pu(PO 4 ) 2 depending on the Pu-to-PO 4 ratio [20]. Hexavalent molibdenum was taken to substitute directly on the P site, with appropriate charge compensation on other sites.
Waste loadings up to 20 wt% have been incorporated into this structure using sol-gel and sintering techniques while maintaining a single phase material. For loadings about 20% it has been observed that a two-phase material is formed, with monazite as the second phase. The leach studies of simulated waste forms based on NZP have shown reasonable resistance for the release of its constituents. The calculation of dissolution rates of NZP structure has demonstrated that it would take 20 000 times longer to dissolve NZP than quartz [21]. Work has also been reported on  [22]. 137Cs and 90Sr have relatively long half-life of approximately 30 years, they are typical high level radioactive wastes generated from spent nuclear fuels, if immobilized in ceramic forms the heat treatment temperature should be lower than 1000 ℃, in order to avoid the volatilization of Cs and Sr. The chemical formula are CsZr 2 (PO 4 ) 3 and SrZr 4 (PO 4 ) 6 ] when zirconium phosphates used as the matrices in waste form, these three-dimensional structures can be formed by two methods. One method is the thermal treatment at 1000 ℃ of a gel formed from the aqueous solution of CsNO 3 or Sr(NO 3 ) 2 , ZrO(NO 3 ) 2 and H 3 PO 4 . The second method is ion exchange of Cs or Sr into Zr(HPO 4 ) 2 2H 2 O in aqueous solution followed by thermal treatment at 850-1000 ℃. Result showed that when heated at 1000 ℃ , impurity phases such as ZrP 2 O 7 and CsPO 3 or Sr(PO 3 ) 2 appeared and these phases led to the poor Cs and Sr leaching resistance [23].
Nakayama and Itoh [24,25] investigated the immobilization behaviors of radioactive Cs or Sr using the crystalline proton type zirconium phosphate (HZr 2 (PO 4 ) 3 ). The process is: An aqueous solution of Cs(NO 3 ) 2 or Sr(NO 3 ) 2 was added to HZr 2 (PO 4 ) 3 powder and then completely mixed. The mixture was dried, prepared by thermal treatment in the temperature range of 650-1200 ℃ for 5 h. They found that the Cs or Sr immobilized material is thermally and chemically resistant, and the excellent leaching resistance is attained at 700 ℃. HZr 2 (PO 4 ) 3 is one of the promising ceramics for immobilizing Cs or Sr.
The most well-known ceramic technology is Synroc (synthetic rock), which was developed by Ringwood and coworkers in Australia in the 1970s [26,27]. Synroc is a titanate-based ceramic containing several mineral phases such as hollandite and BaAl 2 Ti 6 O 16 , for sequestration of Cs, Ba and Rb; zirconolite, CaZrTi 2 O 7 , for sequestration of a variety of actinides, lanthanides and Sr; perovskite CaTiO 3 for Sr, actinides and lanthanides; and non-stoichiometric titanium oxides Ti n O 2n1 . Although the production of Synroc is more complex than that of glass waste forms, it is generally accepted that the leach resistance of the Synroc matrix is superior to that of glass. Figure 5 shows the three major processes for preparing Synroc waste forms, the radioactive waste and Synroc additives are simply blended in a large tank, then fluidized bed calciner is used to dry the slurry, finally HIP or hot press is used to form monolithic solids [3]. Self-propagating high temperature synthesis (SHS) is a promising method to prepare Synroc waste forms [28]. Table 2 summarizes some properties of Synroc. Waste loadings of between 60-65 wt% have been achieved for Synroc waste forms. This corresponds to a volumetric concentration of 2.3-2.5 g/cm 3 and an equivalent Curie content of about 1.0 Ci/cm 3 . The leaching test is carried out according to the MCC-1 [29]. Distilled water (pH=5.80) with a temperature of 90 ℃ is used as leaching agent. Radionuclide concentrations are determined in the leaching solutions.
The leaching rate of actinide  is given by: where m  is the mass of actinide  in the solution, f  is the mass composition of actinide  in the initial sample, S is the open geometric surface of the sample, and t n is the leaching duration. The dissolution rate of Synroc matrix is at least 1000 times lower compared with a borosilicate glass. Unlike  Leached rate (g/(m 2 d)) 10 -2 -10 3 borosilicate glasses, the pH of the leachant has only a relatively small effect on the durability of Synroc [30]. The most durable phase in Synroc is zirconolite, followed by the spinel, hollandite, perovskite, and finally, the least durable crystalline phase, nepheline.

Zirconolite
Zirconolite is one of the key mineral components for many Synroc formulations, has long been recognized as a radiation resistant and chemically durable phase. It is suitable to host actinides. Zirconolite, as a derivative of the fluorite structure type, can be viewed as a condensed version of the pyrochlore structure, it consists of alternating layers of (Ca, Zr) polyhedra and Ti polyhedra. The main differences between the pyrochlore (A 2 B 2 X 6 Y) and zirconolite structures are that pyrochlore contains three dimensional arrays of corner-linked B-X octahedra whereas zirconolite contains only two dimensional Ti-O octahedra, and that A cations in pyrochlore are strongly bonded to only two anions, whilst in zirconolite Ca-, Zr-and Ti-site cations are 8-, 7-and 6-fold coordinated, respectively. Figure 6 is the end-member of titanate-based zirconolite, 2M polytype CaZrTi 2 O 7 , in which Ca and Zr have 8-and 7-fold coordination, respectively, with no site symmetry elements other than the identity operator. Different polytypes (e.g., 3T, 3O, 4M) arise through solid solutions towards lanthanide and actinide-bearing end-members Zirconolite.
The waste form mineral phase assemblage was designed to incorporate the radioisotopes via substitution for elements in the target mineral crystal lattices. For example: actinides (Ac) and rare earth (RE) fission products were targeted to enter zirconolite (CaZrTi 2 O 7 ) via, e.g., Pu 4+ →Zr 4+ and 2(RE,Ac) 3+ → Ca 2+ + Zr 4+ .

Hollandite
(Ba x ,Cs y )(M,Ti) 8 O 16 hollandite ceramics, with x + y < 2 and M = divalent or trivalent cation appeared as the best candidates for immobilization of radioactive cesium, because of the occurrence of Ti 4+ ions in the structure that can act as electron traps during β-decay (Ti 4+ +e  (β -) → Ti 3+ ). Moreover, hollandite was also shown to be able to incorporate Rb + and Sr 2+ ions in its structure.
It was very difficult to incorporate significant amounts of Cs in BaAl 2 Ti 6 O 16 without partially reducing Ti 4+ to Ti 3+ , because of the small size of Al 3+ (ionic radius 0.535 Å). The ionic radius of Ti 4+ and Ti 3+ is 0.605 Å and 0.670 Å, respectively. As Fe 3+ has ionic radius (0.645 Å) larger than Al 3+ ionic, the occurrence of Fe 3+ in site B of Ba(AlFe) 2 Ti 6 O 16 hollandite facilitated Cs incorporation in tunnels [32]. Figure 7 is the (Ba x ,Cs y )(M,Ti) 8 O 16 hollandite structure, c-axis is directed along the tunnels which corresponds to the tetragonal structure. Ba, Cs cations are incorporated in tunnels in the framework of (M,Ti)O 6 octahedra. It can be seen from Fig. 7 that large cations in site B enlarged the tunnel cavities which makes Cs come into the structure easily.

Multi-barrier waste forms
Multi-barrier waste forms consist of a series of glass or ceramic barriers, just like coated particles for high temperature gas cooled reactor. Waste contained phases are either encapsulated in other more durable phases or the particles are coated with another phase. The coatings are applied to enhance chemical durability, mechanical strength or the thermal stability of the material. The coatings may be conventional ceramics (e.g., A1 2 O 3 , TiO 2 , or SiO 2 ), carbon products (e.g., PyC, SiC) and glass. The advantages of these forms are increased chemical durability, and in the case of metal encapsulation, higher thermal conductivity.

Selection criteria
The selection of a waste form depends on three rather independent criteria.
(1) The composition of the waste stream. The Ca 2+

Zr 4+
Ti layer Fig. 6 Stereographic projection of the unit cell of 2M-monoclinal polytype zirconolite. In a monoclinal system, the unit cell is an oblique prism with a rhomboid base [31].
composition of actinides and fission products in HLW are complex, the waste form needs to incorporate a wide variety of elements with very different chemical properties. For example, many HLW contains appreciable amounts of sodium, sodium tends to form soluble Na-bearing minor phases and to reduce the durability of Synroc. It was concluded that the chemical durability of Synroc could not be maintained when the Na 2 O content in Synroc exceeded 2wt%. To improve the durability of Synroc, one approach is to add rare earth element, another is the inclusion of freudenbergite as an additional phase for immobilizing sodium [33].
(2) The properties of the waste form. Most important properties of the waste form are: (i) loading ability; (ii) the chemical durability and long-term stability; (iii) the response to radiation damage, particularly from the alpha-decay events. In addition to experimental studies, it is also very useful to model the irradiation behavior; (iv) simple and reliable synthesis processes that can be managed remotely with minimum exposure to workers.
(3) The properties of the geologic repository. For each type of repository, the geochemical and hydrological conditions determine the environment of the waste form. Temperature, redox conditions and the amount and rate of flow of water can have important effects on the waste form.
At the present time, borosilicate glass is the generally accepted as the first generation waste form, many commercial vitrification plants are now in operation throughout the world using borosilicate glass as the host for the immobilization of HLW. As the advanced fuel cycle technology developed, many different types of ceramic materials have been investigated as possible candidate hosts for actinide phases, these include, in particular, titanate, zirconate and phosphate based ceramics, together with iron phosphate based ceramics. Each host material has its own merits and limitations, much work is therefore needed to design new materials and to research the behavior of waste forms with active materials.

Summary
After several decades of research on crystalline ceramics for the immobilization of HLW, there are now a variety of structures and compositions that are quite desirable for the long-term disposal of HLW. With the exception of Synroc, the majority of alternative waste forms have only been studied on a small, non-radioactive scale. Further researches need to be developed to evaluate the performances of existed ceramics, such as polytype, zirconolite and hollandite, especially irradiation performance, and to find ideal process of simple and reliable synthesis technique.
Composite ceramics will be more common than single phase assemblages just because of the complexity of the liquid waste composition. Even when the ceramic consists of a dominant single phase, other phases (crystalline and glass) segregated along grain boundaries is beneficial to host impure nuclides. Effect of grain size and polyphase boundary on the leach ability and mechanical properties need to be investigated. New materials or composites with specific waste-loadings, chemically durable and radiation resistant should be designed and manufactured. These new waste forms will find many applications in advanced fuel cycles for the storage and disposal of radionuclides or as inert matrix fuels for accelerators. The future of HLW forms is bright and still under active development.