Engineering High Energy Surface of Anatase TiO2 Crystals towards Enhanced Performance for Energy Conversion and Environmental Applications

Anatase titanium dioxide (A-TiO2) is one of the most important functional materials and is widely used in various energy- and environmental related applications. Over the past decade, great efforts have been devoted to surface engineering of A-TiO2 crystals at the atomic level so as to fundamentally understand the relationship between the surface structure and their performance in practical applications. In this review, we briefly summarize recent important achievements on the control of specific surface structures of A-TiO2 crystals, focusing on facets with high surface energy (such as {001}, {100}, {101}) and their combinations. In addition, fascinating performances of A-TiO2 crystals enhanced by these high energy surfaces are examined and discussed through the perspectives of synergistic effects of different facets and surface adsorbates, with additional insights related to some contradictory results. Finally, we offer a summary and some perspectives on current challenges and promising directions in this emerging field. We believe that a comprehensive understanding of surface engineering of A-TiO2 crystals with regard to high energy facets will in the long term help us to rationally design functional nanomaterials with desired performances.


Introduction
The surface is an important component of a solid state material, and different surfaces may exhibit different physical and chemical properties.This effect of the surface becomes especially prominent when the size of the solid is reduced to nanoscale. 1,2 [5][6][7][8][9][10][11][12][13] However, high energy facets usually vanish in the bulk of crystals due to too fast growth rate, and accordingly those thermodynamically stable facets are preferentially predominated on the surface so as to minimize the total surface energy of crystals.It is a significant and challenging topic of nanomaterials to expose specific facets (especially high energy facets) to the surface of crystals.
Titanium dioxide (TiO 2 ) is one of the most studied functional nanomaterials because of its outstanding photoelectric and catalytic properties, as well as good structural stability, nontoxicity, low-cost and environmentally friendly nature. 14Among three common phases, anatase TiO 2 (A-TiO 2 ) attracts more attentions than rutile and brookite, as it presents better performances in various energy conversion and environmental applications, including photocatalytic and photoelectrocatalytic water splitting, [15][16][17] air and water purification, 18,19 reduction of CO 2 , 20,21 photovoltaic cells, [22][23][24] and lithium ion batteries (LIBs). 25,26 o overcome some inherent limitations of A-TiO 2 itself, such as low quantum efficiency and inactivation under visible light, various modification strategies, including doping foreign elements, [27][28][29] constructing heterojunction, [30][31][32][33] and loading sensitizers, 34 have been developed in the past decades. 35However, these strategies seem to meet a bottleneck at present.7][38] Therefore the natural and artificial crystals of A-TiO 2 are thermodynamically apt to expose the most stable {101} facets, which usually account for more than 90% of the total surface. 36n theory, the reactivity and activity of facets are proportional to their surface energy.][46][47] A large amount of studies have demonstrated that highly exposed {001} facets

The thermodynamically stable morphology of A-TiO 2 crystals by predominately exposed {101} facets and related properties
Among all facets of A-TiO 2 , {101} facets are thermodynamically the most stable due to the lowest surface energy.According to the Wulff construction, the equilibrium shape of single A-TiO 2 crystal is a slightly truncated tetragonal bipyramid enclosed by eight {101} facts and two {001} facets, where {101} facets on the side surface account for ca.94% of the total surface area. 36,37 he calculated shape of A-TiO 2 crystal agrees well with the shape of naturally grown mineral sample, as shown in Fig. 1a and 1b. 12,78,79 Acording to atomic structures of clean anatase {101} surface, the surface exposes both fivefold (Ti 5C ) and sixfold (Ti 6C ) coordinated Ti atoms, as well as twofold (O 2C ) and threefold (O 3C ) coordinated O atoms (Fig. 1c). 79In contrast, {001} facets as the minor surface of A-TiO 2 crystals expose coordinatively unsaturated Ti 5c and O 2C atoms, as well as fully coordinated O 3C (Fig. 1c).Such great difference in two surface atomic structures is bound to cause their distinct reactivity and properties.][82][83][84][85][86][87][88][89] Due to higher stability, lower surface energy and less active sites, {101} facets are usually quite unreactive, displaying much poorer performance than {001} facets.For example, Amano et al. reported that A-TiO 2 nanocrystals with a Wulff construction showed low H 2 generation rate from aqueous methanol. 67They thought that the poor photocatalytic activity was closely associated with the surface structure of {101} facets, which would affect the reaction mechanism at the molecular level, rather than the conduction band level.][92][93] Compared with the dissociative chemisorption of water molecules on {001} facets, the {101} facets is less favorable for dissociative adsorption of water and methanol, resulting in molecular nondissociative adsorption on them.In addition, the orientation-dependent charge-transfer process of A-TiO 2 was experimentally investigated by electrochemical measurements on single crystal with exposed {001} and {101} facets. 90,94 he results from Hengerer et al. revealed that water reduction, photo-oxidation and lithium insertion were favored on {001}, rather than {101}.These electrochemically orientational effects of A-TiO 2 were ascribed to the differences in flatband potentials and surface atomic structures of {101} and {001} facets. 90n the other hand, it was likewise found in the study of Amano et al. that the performance of A-TiO 2 octahedral crystals in photocatalytic decomposition of organic compounds under aerated conditions was more excellent than that of {001} faceted crystals. 67This exception was associated with the oxygenated environment and low density of defects on the well-crystallized surface, both of which could decrease the recombination of photogenerated carriers.Surprisingly, the selectivity for photocatalytic conversion of glycerol to hydroxyacetaldehyde in aqueous solution over {101} facets was superior to that over {001} facets, although the conversion of them were nearly the same. 95Very recently, theoretical calculations based on density-functional theory (DFT) has predicted that the A-TiO 2 nanocrystals with predominately exposed {101} facets may be a promising candidate to be a component of the anode material in benthic microbial fuel cells due to the selective adsorption ability of the {101} surface to specific functional groups of biomolecules. 96f note, in despite of the superiority in some applications, the inactive nature of {101} is fundamentally hard to overcome by conventional methods like doping and sensitizing.For this reason, increasing efforts have been recently devoted to designedly exposing those active facets with high surface energy so as to enhance the performance of A-TiO 2 .

{001} high energy facets
As mentioned above, {001} usually appears on the surface of truncated tetragonal bipyramidal A-TiO 2 crystal as minor facets, coexisting with predominant {101} facets.Structurally, all Ti and O atoms on {001} are coordinatively unsaturated and the Ti-O-Ti bond angle is very large, which means that 2p states on the surface oxygen atoms are destabilized and very reactive. 7999] For a long time, how to expose {001} facet with high percentage to the surface of micro-and nanocrystals is a great challenge for A-TiO 2 .In 2008, Yang and co-workers made a breakthrough in the controllable synthesis of A-TiO 2 crystals. 12They successfully synthesized A-TiO 2 microcrystals with 47% of exposed surface dominated by {001} facets, under the guidance of the prediction from the firstprinciple calculation.The key to success is the use of hydrofluoric acid (HF) that fluorates the surface of A-TiO 2 crystals, whereby the surface energy of {001} is greatly reduced to a level below that of the original most stable {101}.102] Strikingly, we promoted the percentage of exposed {001} facets to 89% by simply using high concentration of HF (~47%) as the {001} facet capping agent. 101The bottom/top surface of as-prepared sheet-like A-TiO 2 nanocrystals were enclosed by {001} facets and the average thickness was ca. 8 nm.As expected, such {001} faceted A-TiO 2 nanosheets exhibited superior photocatalytic performance for the degradation of methyl orange (MO) to the commercially photocatalyst P25 (Fig. 2).More importantly, such performance advantages of {001} facets have been fully proven in both the photocatalytic oxidation reactions (such as degradation of pollutants) and photocatalytic reduction reactions (such as hydrogen production by water splitting).[109][110][111] It has been proven that the higher percentage of the exposed {001} facet is, the higher overall conversion efficiency the A-TiO 2 based DSSCs display (Fig. 3). 107The highest overall conversion efficiency reached 8.49% based on A-TiO 2 with ca.80% of exposed {001} facet, which was over 40% enhancement compared to the DSSCs based on Degussa P25.The excellent photovoltaic performance of A-TiO 2 crystals with highly exposed {001} facet is attributed to the facts that the {001} facets not only possess superior light scattering and dye adsorption abilities but also can effectively retard the charge recombination due to high carriers transfer. 52  Recent studies have further revealed that A-TiO 2 nanocrystals with exposed {001} facets potentially exhibit an enhanced Li-ion insertion/extraction kinetics, including better reversibility and excellent rate capabilities. 54,56,90,112 Aswe known, A-TiO 2 has long been intensively studied as a promising electrode material for lithium ion batteries (LIBs) due to open channels in its structure that facilitates the lithium insertion/extraction during discharge/charge, while keeping the stability of the crystal framework.However, the lithium insertion/extraction kinetics in the crystal framework of A-TiO 2 strongly depends on the orientation of A-TiO 2 and {001} facets are more permeable for Li + than {101} facets. 90This is because the diffusion of Li + ions in the A-TiO 2 framework occurs along a reaction path connecting the vacant octahedral interstitial sites, which makes diffusion more efficient along the [001] direction (the c axis direction) than in the plane normal to [001] direction.Furthermore, the energy barriers for Li-ion insertion through {001} and {101} facets of A-TiO 2 (1.33 eV and 2.73 eV, respectively) are much higher than that for the bulk diffusion (0.35-0.65 eV). 53,90,113 Tis indicates that the surface insertion is indeed the rate-determining step, and the transport of Li-ion is much faster across {001} facets than {101} facets.For this reason, ultrathin A-TiO 2 nanosheets with highly exposed {001} facets are ideal electrode materials for LIBS due to the extremely short transport length scales in the [001] direction (Fig. 4). 53,54,114 Te success in A-TiO 2 opens a new direction for improving the performance of electrode materials in LIBS by engineering their surface orientation.It should be pointed out that the performances of A-TiO 2 nanocrystals like nanosheets in applications are sometimes hampered by the face-to-face assembly of A-TiO 2 nanocrystals and subsequent surface fusion due to hydrolysis of Ti-F groups on the {001} facets, which remarkably decreases the effective area of high active {001} facets. 115,116 110, 114, 117-120 Due to their hierarchical structures, these A-TiO 2 crystals are endowed with some particular advantages, such as easy recyclability and superior light scattering effect, while keeping large effective area of {001} facets.Given that, the hierarchical A-TiO 2 structures usually show superior performances in photocatalysis 49,103,117,119,120 and DSSCs, 52,[108][109][110] to those unassembled samples.
In the synthetic processes mentioned above, HF and other fluorides are usually used as specific capping agent for {001} facets.Noticeably, the real role of HF is closely associated with synthetic conditions of A-TiO 2 crystals, including concentration, solvent composition, reaction temperature and time.Under certain conditions, HF may play a role of chemical etching agent, rather than the desirable capping agent. 118,121,122 Rcent studies have revealed that in the presence of low-concentration of HF the available adsorption sites of A-TiO 2 are occupied by F atoms to form the fluorinated surface; nevertheless, in the presence of high concentration of HF the completely fluorinated surface would be further dissolved to create surface vacancies. 122Interestingly, such a surface etching process merely occurs on the {001} facets, not on the {101} facets, due to the differences between the atomic arrangements on {001} and {101} facets.This is a revelation to us that some unusual facets of A-TiO 2 may be designedly produced by means of rationally utilizing the dual roles of HF.

{100} high energy facets
As shown in Fig. 5a, the outermost Ti atoms of anatase {100} facets are fivefold coordinated, and the sixfold coordinated Ti (Ti 6c ) atoms belonging to the second layer lie at the bottom of grooves along the [010] direction. 36In contrast to the commonly exposed {001} and {101} facets, {100} facets are seldom presented on the surface of A-TiO 2 .As we know, the critical factor for controlling exposed facets of crystals is tuning the relative stability of different facets during the growth process, which is intrinsically determined by the average surface energy of the facets.7][38] It is reasonable to predict that the {100} facets can be plentifully exposed by appropriately tuning growth conditions of A-TiO 2 crystals.[126]  As shown in Fig. 5b-f, A-TiO 2 crystals with predominantly exposed {100} facets display as diverse forms, including rods, 62,63,[127][128][129] cuboids, 57,60,73,130,131 rhombuses, 58 and sheets. 123Rod-like, cuboidal, and sheet-like A-TiO 2 crystals possess a tetragonal cross section, where the four side surfaces are bound by {100} facets.In either case, however, {100} facets always coexist with {001} and/or {101}, and the percentage of {100} in the total surface varies from 40% to 95%, depending on the aspect ratios of nanorods or the thickness of nanosheets. 57,58,123,127 No[130] Barnard et al. have proposed by theoretical calculation that the surface energy of {100} facets can be lowered by surface hydroxyl groups, and thus the {100} facets are more stable than {101} and {001} facets in basic conditions. 132,133 his mechanism pretty explains the formation of elongated truncated tetragonal bipyramids like rods or cuboids in basic solution, in which {100} facets are dominant and {101} and {001} only accounts for small percentages of the total surface (Fig. 5c-d).
Recent studies revealed that A-TiO 2 crystals with dominantly exposed {100} facets can be also synthesized in the mixed solution of ionic liquid/water (1-butyl-3methylimidazolium tetrafluoroborate, [bmim][BF 4 ]), 57 acidic solution containing HF, [134][135][136] and even nonaqueous reaction system where the reaction medium is consisting of benzyl alcohol and oleic acid (or oleylamine) (Fig. 5e-f). 58,123 n the mixed solution of ionic liquid/water, the ionic liquid [bmim][BF 4 ] provided [bmim] + and F -ions to stabilize {100} and {001} facets, respectively. 57DFT calculation indicates that the order of surface energy of {101}, {100}, and {001} facets can be reversed after surface fluorination, following the order of F-{001} < F-{100} < F-{101} (Fig. 6), 135 and HCl as capping agent at (100) facets is so weakly bounded that it may be easily replaced by HF. 134 This means that under acidic conditions, the exposed percentage of {100} facets can be delicately controlled by finely tuning the relative ratio of HF to HCl.However, the mechanism for the formation of {100} faceted A-TiO 2 rhombic crystals in nonaqueous reaction system has no exact answer at present, but a trace amount of water insitu formed in organic solvent is supposed to be responsible for that. 58his journal is © The Royal Society of Chemistry 2012 Among the three basic facets, {001} facets with the highest surface energy are usually considered to possess the best performance.However, it has been recently reported that {100} facets could show much better performances in photocatalytic H 2 generation and CO 2 reduction than {001} and {101} facets due to the higher conduction band minimum and more oxygen vacancies on {100} facets. 57,73,123 Bsides, enhanced photoelectric conversion efficiency, depending on the exposed percentage of {100} facets, was also obtained on the thin-film electrodes made from A-TiO 2 crystals exposed high percentage {100} facets. 63,131 t is well-accepted that the distinctive surface structure of {100} facets such as the superior electron structure, gifts them some excellent properties including higher conduction band minimum, more Ti 5c atoms and oxygen vacancies and so on, in comparison with {001} and {101} facets. 41,63,69,73,123 Thee characteristic properties should account for the excellent performances shown on {100} facets.
Despite there is great difficulty in syntheses, {10l} and {401} facets can be predominantly exposed on the surface of A-TiO 2 and even form a fully faceted polyhedron. 64,66 102} and {103} facets are the early reported {10l} high index facets, which were first synthesized through transformation of potassium titanate nanowires with the assistance of hexamethylenetetramine under solvothermal conditions. 64As shown in Fig. 7b-c, {102} facets constitute a pudgy tetragonal bipyramidal A-TiO 2 with the interfacial angles of 76° between the opposite facets near the tips, while {103} and {101} facets coexist on the surface of A-TiO 2 to form a sixteen-faceted polyhedron where eight equivalent {103} facets account for 60% of the total surface and the interfacial angles between the opposite facets near the tips is 44°.In contrast, {401} faceted A-TiO 2 crystals present a spindly octahedral morphology with the interfacial angles of 11° near the tips, which is much smaller than that of the pudgy tetragonal bipyramids enclosed with {102} (Fig. 7d). 66It should be stated that, the topotactic structural transformation from the solid titanate precursor to A-TiO 2 is the key to achieve exposing these high index facets.This transformation process is essentially a solid reaction, and thus the reaction rate is much slower compared to previous synthetic routes based on the direct hydrolysis of titanium precursors.Because of this, the capping agents are endowed unique opportunity to finely tune growth rates of various facets by specific adsorption on the stepped sites of high index facets.Besides the solution syntheses, {10l} faceted A-TiO 2 crystals can be synthesized through a high-temperature gasphase oxidation route.For example, pudgy tetragonal bipyramidal A-TiO 2 nanocrystals with eight equivalent {105} facets were successfully synthesized. 65It was observed in their time-dependent experiments that the formation of the {105} faceted tetragonal bipyramidal A-TiO 2 undergo a two-stage growth process from the truncated tetragonal bipyramid with {101} and {001} facets to the intermediate crystals enclosed by {101} and {107} facets.Such special {105} faceted A-TiO 2 microcrystals are regarded as a result of the synergistic effect of thermodynamic and kinetic factors that control the crystal nucleation and subsequent epitaxial growth on the existing {001} facet during the vapor deposition.
Different from the {10l} cases mentioned above, {10l} facets can be dominantly exposed to the surface along with {100} facets.For example, by tuning the concentration of F - ions in a hydrothermal reaction, 138 {106} and {100} facets constitute rectangular A-TiO 2 nanosheets, where {106} facets appear as the top/bottom surface and account for 56% of the total surface.The introduced F -ions play a key role in exposing {106} facets, which triggers the distinctive olation for the formation of this special crystal facets.
Structurally, {10l} facets should be highly active, since they possess high-density atomic steps and unsaturated coordinated sites.According to DFT calculation, the surface energy of {105} facets is lower than that of {001}, but much higher than that of {101}. 65And theoretical and experimental studies demonstrated that the {105} facets possessed the capability to cleave water photocatalytically to generate hydrogen.Besides that, the A-TiO 2 crystals with exposed {102} and {103} facets have proven to present more superiority than A-TiO 2 octahedron with only exposed {101} facets for the degradation of methylene blue (MB).The order of photodegradation efficiencies for different facets was concluded as {001} > {102} ≈ {103} > {101}. 64urprisingly, recent study revealed that {401} faceted A-TiO 2 nanocrystals exhibited better electrochemical performance in LIBS than truncated tetragonal bipyramids with highly exposed {001} facets. 66It is a pity that more systematic investigation of the structure-performance relationship with regard to these high index facets is seriously subject to the difficulty in syntheses.

Other higher energy facets
Among the low index facets of A-TiO 2 , both {110} (1.09 J•m -2 ) and {111} (1.61 J• m -2 ) facets possess far higher surface energy than all the basic facets discussed above (i.e., {101}, {100} and {001}). 36,38,139 Cnsequently, they cannot be dominated on the surface of A-TiO 2 , but usually appear as the third or fourth party on the surface of A-TiO 2 , alongwith dominant {101} and {001} facets. 59,61,139,140 Li et al. first reported that the {110} high energy facets can be artificially exposed by using Ti power as precursor and HF and hydrogen peroxide (H 2 O 2 ) as facet capping agents. 61Four {110} facets were emerged as rhombus on the surface of tetragonal pyramidal A-TiO 2 crystals with dominantly exposed {001} and {101} facets, where {110} facets account for merely a few percentage.In this synthetic process, H 2 O 2 was considered the decisive factor for exposing {110} facets to the surface of A-TiO 2 .It was proposed that the Ti 4+ precursor can react with H 2 O 2 to form yellow peroxotitanium acid (Ti 2 O 5 (OH) x (x-2)-, x=1-6), which retards the hydrolysis rate of the titanium precursor and provides enough time for F -ions to tune the growth behavior by selectively adsorption.In fact, this formation mechanism mediated with a solid transformation is very similar with the cases of {10l} high index facets.Structurally, the {001} facets are composed of 100% Ti 5C atoms, while the {110} facets are composed of 50% Ti 4C atoms and 50% Ti 6C atoms.Due to the existence of steric effects, F - ions adsorbs easier to Ti 5C than to Ti 4C .Consequently, the percentage of {110} facets could be elevated to 11% by optimizing the proportions of H 2 O 2 and HF in reaction solution. 140Among the reported facets, {111} facets present the highest surface energy (1.61 J• m -2 ).So far only one report is known to successfully expose {111} facets to the surface of A-TiO 2 crystals. 139As shown in Fig. 8a and 8b, {111} appears as rhombic facets that are formed by truncating eight corners of elongated tetragonal bipyramidal crystals originally dominated with {101} {100} and {001} facets.The high percentage emergence of {111} could be ascribed to the synergetic effect of the F − and ammonia as the capping reagents.This kind of A-TiO 2 crystals showed an enhanced photocatalytic activity in photocatalytic water splitting compared to other samples with predominantly exposed {100}, {101}, and {001} (Fig. 8c).This is ascribed to the reason that the conduction and minimum of {111} is much higher than those of {100}, {101}, and {001} (Fig. 8d).It should be pointed out that {110} and {111} facets usually appear as the third party or fourth on the surface of A-TiO 2 , and they only account for a very small percentage of the surface.For this reason, it is hard to directly identify the effects of {110} or {111} on the performance of A-TiO 2 .

Two key issues in engineering high energy surface of A-TiO 2 crystals towards enhanced performances
It is clearly seen from Section 3 that exposing high-energy facets to the surface, in most cases, can effectively enhance their performance in practical applications.However, there are also considerable contradictory results in the {001} and {100} cases.The main reasons leading to the above issues may arise from two aspects: one is the synergism of a low percentage of those co-existing facets that is often ignored when our This journal is © The Royal Society of Chemistry 2012 attentions are focused on those so-called active facets, and the other is the synergistic effect of surface adsorbates that are still unclear to us.In the following sections, we will make particular discussions on the key issues.

The synergistic effects of coexisting facets on the photocatalytic performance of A-TiO 2
Except few cases of {10l} faceted octahedron, A-TiO 2 crystals are always enclosed by two or more groups of facets, even for A-TiO 2 nanosheets with predominately exposed a specific group of facets.When we pay attentions to those high energy facets, the thermodynamically stable facets like {101} cannot be ignored.Because of the anisotropy of crystals, different facets have distinct properties, such as adsorption and coordination capacity as well as reaction activity.A rational use of these differences by engineering surface structure may trigger synergistic effects between different facets on the surface of crystals with coexisting facets, thereby further enhancing the performance of the crystals. 72,141,142 Nertheless, the facet matching, i.e. the simultaneous exposing of right facets is the precondition for positively influencing the photocatalytic performance of A-TiO 2 crystals.As counterexample, the transfer of photogenerated electrons and holes would go along the same direction in the A-TiO 2 with coexisting {001} and {100} facets, which may greatly inhibit the photocatalytic activity of A-TiO 2 . 142Next, we will explicate the synergistic effects between multiple facets of TiO 2 on their photocatalytic performance through a few typical examples.
As the most common morphology, truncated tetragonal bipyramidal A-TiO 2 crystals with coexisting {001} and {101} facets have been widely studied.As a matter of course, the synergistic effect between {001} and {101} facets for the photocatalytic performance is firstly concerned by researchers.Because A-TiO 2 crystals predominately expose {101} facets under natural growth, the control of different ratios of {001} to {101} facets can be regarded as the controllable exposure of {001} facets.As a result, the higher percentage exposure of high-energy {001} facets is usually considered as the primary reason for the enhanced photocatalytic performance. 45,46,104 I fact, the enhanced performance of these anatase with specific surface structures depended not only on the high percentage exposure of {001} facets, but also on some other factors, especially the spatial separation of redox sites on the different crystal facets. 69,74,104,141,143  In02, Matsumura et al investigated the positions of redox sites on the surface of A-TiO 2 by photo-activated selective deposition. 77Under irradiation, Pt and PbO 2 particles were deposited on {101} and {001} facets, respectively, which indicates that the {101} and {001} facets provide reduction and oxidation sites in the photochemical reaction, respectively.Recently, increasingly developed in situ characterization techniques have provided us more intuitive evidences with regard to the spatial separation of redox sites on {001} and {101} facets of A-TiO 2 . 75,76,144 A shown in Fig. 9a, it can be in situ observed by a single-molecule fluorescence approach on single particle that the redox-responsive fluorogenic dyes are preferentially reduced on {101} facets, which indicates that the effective reduction sites are located on the {101}facets of the crystal rather than the {001} facets. 75,144 n addition, the electron spin resonance (ESR) spectra, which directly relates the reactivity of different facets with the type, the amount, and the location of electronic defects, likewise verified that the oxidation sites (O -centers) and the reduction sites (Ti 3+ centers) locate on {001} and {101} facets, respectively (Fig. 9b). 76The essential reason for spatial separation of redox sites is that the slight difference of the local energy band structures between {101} and {001} facets drives the directional separation of photogenerated electrons and holes to these facets, respectively. 77,145 ccording to DFT calculation, 141,146,147 the Fermi level of {001} facets enter their valence band, while the Fermi level of {101} facets is still located at the top of the valence band of {101} surface, as shown in Fig. 10a.When both {001} and {101} facets are exposed to the surface of A-TiO 2 crystals, the different Fermi levels of anatase {001} and {101} facets induce the position variance of energy bands of them.9][150][151] The construction of surface heterojunction makes it possible that photogenerated electrons and holes will preferentially transfer to {101} and {001} facets, respectively, thereby leading to different reactivity on these facets (Fig. 10b). 146Given the efficient spatial separation of photogenerated carriers, the co-exposure of {101} and {001} is obviously the right combination, which are beneficial for enhancing the photocatalytic performance of A-TiO 2 crystals.A photocatalytic process is known to involve two half reactions, i.e. photo-reduction and photo-oxidation, which are associated with the photogenerated electrons and holes, respectively.Since {101} and {001} facets exhibit the reduction and oxidation reactivity in the photocatalytic process, respectively, an appropriate relative ratio of {001} to {101} facets is bound to play the key role in the cooperative processing of the photo-reduction and photo-oxidation half reactions.,74,141,146,152 For example, the surface-fluorinated A-TiO 2 nanocrystals with exposed 70% {001} facets was reported to have the highest performance in degradation of acetone, 48 but in H 2 evolution, the highest efficiency occurred over the surfacefluorinated sample with 45% {001} facets. 141In addition, for the fluorine-free A-TiO 2 nanocrystals synthesized by using carbonate ions as capping agent, the optimal percentage of {001} facts is ca.60% for degradation of methylene blue. 152his indicates that the optimal ratio in different cases is likewise influenced by the adsorbed species on the crystal surface.Because of a strong capping effect for {001}, the fluorine species are difficult to be completely removed from the surface of A-TiO 2 crystals, and thus the surface-fluorinated degree would influence the photocatalytic performance of photocatalysts to some extent. 32,48,100,143 Inthis regard, it is better to obtain A-TiO 2 crystals with clean surface for investigating the real photocatalytic performance, although the synergistic effect of coexisting {001} and {101} facets has been confirmed.As we discussed above, the functionally matching of coexisting facets is the precondition for enhancing the photocatalytic performance of A-TiO 2 crystals.In contrast to the right combination of {101}/{001}, it is questionable whether there is the synergistic effect of {100}/{001} facets.In the study reported by Zhao et al., anatase cuboids with exposed about 80% {100} facets and 20% {001} exhibited superior photocatalytic activity than sheet-like TiO 2 with exposed dominant {001} and minor {101}. 57However, some contrary results were also obtained by Zan group. 124,129,142 Tey intentionally synthesized two similar sheet-like crystals with the coexistence of {101}/{001} and {100}/{001}, respectively.By comparing the generation of hydroxyl radicals (• OH) and superoxide radicals (O 2 -), they found that the photogenerated charge carriers were efficiently separated and photocatalytic oxidation and reduction respectively took place on {001} and {101} facets over the crystals.While {101} facets were replaced by {010} facets, the photocatalytic activity was inhibited (Fig. 11a and 11b). 142On the basis of photo-activated deposition of Ag nanoparticles on the two samples, they proposed that the transfer of photogenerated electrons and holes would go along the same direction in the A-TiO 2 with coexisting {001} and {100} facets, which greatly inhibits the photocatalytic activity of A-TiO 2 (Fig. 11c-f).In addition, the reconstruction of different facets under UV light irradiation This journal is © The Royal Society of Chemistry 2012 changed the situation of unsaturated coordinated Ti atoms on each kind of facets, which leads to the lower photocatalytic activity of {100} facets than that of {001} and {101} facets. 124n the other hand, they also confirmed the superior photocatalytic activity of {100} facets for the photoreduction of CO 2 to CH 4 than that of {001} facets in spite of the reversed performances were exhibited after Pt-loading. 129It should be stated that, solely engineering surface structure by optimizing exposed facets is rather limited in enhancing the overall photocatalytic performance of A-TiO 2 crystals, although the separation of photogenerated carriers can be significantly enhanced by tuning the relative ratio of {001} to {101}. 724][155][156][157] For example, noble metals (especially Pt) as co-catalysts not only serve as electron sinks, suppressing the charge recombination, but also provide effective proton reduction sites, thereby dramatically improving photocatalytic efficiency of semiconductor photocatalysts. 158iven that, it is a great potential for acquiring highly efficient photocatalysts to rationally combine the facet-induced effect and heterojunction-induced effect with regard to photogenerated carriers. 159To achieve this, the selective deposition of co-catalysts, i.e. loading oxidation and/or reduction co-catalysts on the respective faces of semiconductor photocatalysts, is a feasible strategy.For example, by selectively depositing an appropriate amount of Pt nanoparticles on the {101} photo-reductive facets, the photocatalytic performances of A-TiO 2 in the photocatalytic oxidation process (i.e., photodegradation of methyl orange, Fig. 12a) and the photocatalytic reduction process (i.e., H 2 evolution from splitting water, Fig. 12b) were strikingly boosted. 72][161][162] As of now, A-TiO 2 with variously coexisting facets has been successfully synthesized.Unsatisfactorily, the prepared crystals have not been well studied and the synergistic effect and functional mechanism of the coexisting facets also has not been well elucidated, besides that the combination of {101} and {101}.Fortunately, the positive effect for enhancing the performance is conspicuous based on A-TiO 2 that co-exposes suitably and ratio-optimally different facets.It encourages us to unremittingly explore and reasonably design A-TiO 2 with coexistence of different facets to further improve the properties of them.As we mentioned in Section 3 the capping agents, such as HF and other fluorides are one of the essential elements for controllable exposure of {001}, {100}, or other high energy facets.However, the facet-dependent performances of A-TiO 2 crystals remain disputed, with the interference from surface adsorbed species (HF or F -ions).41 In contrast, a considerable number of studies have likewise showed that the fluorinated A-TiO 2 sample exhibited better photocatalytic performance than the defluorinated sample.32,48,100,106,[163][164][165] It is usually considered that the positively enhancement effect of the fluoride species adsorbed results from the strong O 2 -capturing ability of the ≡Ti−F(H) group on the fluorinated surface, which can promote the transfer of photogenerated electrons and then retard the recombination of photogenerated electrons with photogenerated holes (Fig. 13).32,48,100,163 In addition, surface fluorination of A-TiO 2 , which may produce more Ti atoms with lower coordination numbers (e.g.Ti 4c ) through surface reconstruction, results in more favourable sites on A-TiO 2 for reactants in photocatalysis.32 Given that the confusing effects of the fluorinated surface, it is highly desirable to acquire A-TiO 2 with clean surface, which is conducive to making clear the intrinsic surface structureperformance relationship of A-TiO 2 .The calcination under high temperature and the long-time ion exchange with high concentration of NaOH solution are usually adopted to clean up the fluorinated surface of A-TiO 2 crystals.12,101,164 However, the net effects of the two treatment methods are often far from being satisfactory. For example, the high-temerature treatment is likely to cause a phase transition from anatase to rutile and the aggregation of nanocrystals, and also the surface fluorides are hard to be completely removed via ion exchange.In this regard, it is of more practical significance to develop alternative synthetic methods without HF for the preparation of A-TiO 2 with exposed {001} facets.45,47,117,[166][167][168] Carbonate ions are recently proven to be a kind of effective stabilizer of anatase {001} facets, because the surface energy of {001} facets with high intensity of unsaturated coordinated Ti 4+ atoms can be remarkably reduced by bidentate-chelating with carbonate ions.64,152 Compared to HF, carbonate ions are easier to remove by heat treatment or acid treatment because of high chemical instability.In contrast to solution reactions mentioned above, the gas phase process based on chemical vapour deposition is better for preparing A-TiO 2 with clean surface.Unfortunately, the facet-controllable synthesis is very difficult to achieve in gas phase process, and thus relevant works are rarely reported.65,169

Summary and Outlook
With the rapid development of theoretical calculations and experimental methods, numerous studies have been obtained in the fields of engineering the surface structures of A-TiO 2 and making clear their surface structure-performance relationship.In this review, we tried to summarize recent research progresses on the control of specific exposed facets of A-TiO 2 crystals.The commonly exposed facets, such as {001}, {101}, {100}, and their combinations, have been widely studied and rich in the results of theories and experiments.Some high-energy or high-reactivity crystal facets rarely and even firstly observed, such as {10l}, {111} and {110}, are also mentioned.The facetdependent performances in practical applications, especially in photocatalysis, are well interpreted through the perspectives of the surface atomic structures and local electronic structures.Besides, the cooperative mechanism between coexisting facets is another significant factor and potential for further improving the properties of A-TiO 2 crystals.In fact, the synergistic effect of coexisting facets is derived from the so-called surface junction formed by adjacent facets, which efficiently promotes the separation of the photogenerated charge carriers.However, the real situation in practical applications would be far more complex than we discussed here.Each possible factor, such as the crystal size, 69,86 morphology, 170 adsorbed species, 70 structural defects in surface and bulk, 171 surface construction, 37 etc. could influence the performance of A-TiO 2 crystals.Since the influence of each factor is not clear and interrelated, they should not be considered individually in fact.
Although a great progress has been made to date, there are still many problems to be resolved in further research.Rationally engineering surface structure, i.e. exactly exposing specific facets, is always our first priority.Most of the present approaches to synthesize A-TiO 2 with exposed specific facets are based on the capping effect of F-containing compounds, which are hazardous to humans and not easy to be removed.In order to obtain TiO 2 crystals with clean surface that can exhibit real performance, new strategies with reduced or no fluorine species should be developed.Furthermore, considering TiO 2 crystals are usually used as model system for studying many important surface properties and potentially used in practical application fields, the synthetic strategies should be also suitable for large scale production in high quality.To achieve this, both factors of thermodynamics and kinetics during the growth of nanocrystals must be taken into accounts, and the aftertreatment such as selectively etching is likely a worthwhile strategy.Secondly, the surface adsorbed species inevitably cause some unexpected influences on the performance of A-TiO 2 crystal.Thus, the real effects of adsorbed species at different situations will need to be uncovered.Thirdly, it may be of more significance to make the facet-induced effect effectively cooperate with other surface modification strategies, such as surface deposition by co-catalysts.The strategy of rationally cooperating the facet effect and heterojunction effect is currently restricted to the case of truncated bipyramidal A-TiO 2 with {101} and {001}.However, we believe that this synergism strategy would be the most promising direction of acquiring high-efficient and low cost catalysts.
It is no doubt that opportunities and challenges coexist in the controllable syntheses of A-TiO 2 with specific surface structures.As we know, TiO 2 is strategic for cutting-edge areas of science and has been intensively investigated as model system bridging the material gap between surface science and practical applications in a long term.Therefore, the comprehension on the surface-performance relationship in energy-and environmental applications achieved from A-TiO 2 can be reference to other inorganic functional nanomaterials and other application fields.If so, it will takes us one step closer to rationally designing functional nanomaterials with desired performances.

Fig. 2 (
Fig. 2 (a) High-magnification TEM image of TiO2 nanosheet; the insets show highmagnification TEM images of an individual nanosheet with different orientations.(b) Degradation half-life of MO for as-synthesized TiO2 nanosheets [89% (001) facets] and commercial P25 as a function of cycle number.Reprinted with permission from ref. 101.Copyright 2009 American Chemical Society.

Fig. 3 .
Fig. 3. (a) Open-circuit voltage decay profiles, (b) dark current potential scans and (c) IPCE spectra of DSSCs based on the A-TiO2 crystals with different percentages of {001} (i.e., NSCT-a, NSCT-b, NSCT-c) and P25.(d) Schematic of the correlation between the particle morphology and the photovoltaic conversion efficiency of the A-TiO2 crystals with different percentages of {001} facets.Reprinted with permission from ref. 107.Copyright 2011 Wiley-VCH.

Fig. 4 .
Fig. 4. (a) Scheme of the anatase lattice with insertion of Li ions (purple spheres) between octahedral voids.The initial and final states of Li + are indicated as 'IS' and 'FS', respectively.Grey spheres: titanium, red spheres: oxygen.Reprinted with permission from ref. 53.Copyright 2010 Royal Society of Chemistry.(b) Representative CVs at a scan rate of 0.2 mV s -1 for the first, second, and fifth cycles.(c) Charge-discharge profiles at a current rate of 5 C (850 mA g -1 ) for the first, second, and fifth cycles.(d) Cycling performance at different C rates.All of the measurements were conducted using a voltage window of 1.0-3.0V. Reprinted with permission from ref. 54.Copyright 2010 American Chemical Society.

Fig. 9 (
Fig. 9 (a) Schematic of in situ observation photocatalytic reduction of single fluorescent molecule (HN-BODIPY) from nonfluorescent molecule (DN-BODIPY) over a TiO2 crystal.Reprinted with permission from ref.75.Copyright 2011 American Chemical Society.(b) Schematic of experimental ESR spectra on different facets of truncated tetragonal bipyramidal TiO2 nanocrystals.Reprinted with permission from ref.76.Copyright 2011 American Chemical Society.

4. 2
Fig. 13 Intensities of SPS peak at 350 nm of resulting F-residual TiO2 and its corresponding F-free one.Insets are surface structure schematic of common TiO2 and the F-residual one in the atmosphere or in water.Reprinted with permission from ref. 163.Copyright 2013 American Chemical Society.