Citation PHYSICAL REVIEW LETTERS (2009), Right 2009 The American Physical Societ

Similar documents
Simultaneous visualization of oxygen vacancies and the accompanying cation shifts in a perovskite oxide by combining annular imaging techniques

Supporting Information for. Revealing Surface Elemental Composition and Dynamic Processes

Supplementary Figure 1. HRTEM images of PtNi / Ni-B composite exposed to electron beam. The. scale bars are 5 nm.

SUPPLEMENTARY MATERIAL

Supporting Online Material for

On the Structural Origin of the Catalytic Properties of Inherently Strained Ultrasmall Decahedral Gold Nanoparticles

Atomic Resolution Interfacial Structure of Lead-free Ferroelectric

Supplementary Information

Nanostructure Fabrication Using Selective Growth on Nanosize Patterns Drawn by a Scanning Probe Microscope

Structure and Formation Mechanism of Black TiO 2 Nanoparticles

Xiang-Kui Gu,, Botao Qiao,,, Chuan-Qi Huang, Wu-Chen Ding, Keju Sun, Ensheng Zhan,, Tao Zhang, Jingyue Liu*,,, and Wei-Xue Li*,

Yali Liu, Pengfei Zhang, Junmin Liu, Tao Wang, Qisheng Huo, Li Yang, Lei. Sun,*, Zhen-An Qiao,*, and Sheng Dai *, ASSOCIATED CONTENT

SUPPLEMENTARY FIGURES

Low pressure CO 2 hydrogenation to methanol over gold nanoparticles activated on a CeO x /TiO 2 interface

Supplementary Materials for Oxygen-induced self-assembly of quaterphenyl molecule on metal surfaces

STRUCTURAL AND MECHANICAL PROPERTIES OF AMORPHOUS SILICON: AB-INITIO AND CLASSICAL MOLECULAR DYNAMICS STUDY

a b c Supplementary Figure S1

Interface Structure of Gold Particles on TiO 2 Anatase

Supporting Information

Characterisation of Nanoparticle Structure by High Resolution Electron Microscopy

Supporting Online Material for

Supporting Information For Pt Monolayer on Porous Pd-Cu Alloys as Oxygen Reduction Electrocatalysts

Experiment Section Fig. S1 Fig. S2

Curvature-enhanced Spin-orbit Coupling and Spinterface Effect in Fullerene-based Spin Valves

Development of a nanostructural microwave probe based on GaAs

Supporting Information for

Au Atom Diffusions on Reduced and Cl-Adsorbed Rutile TiO 2 (110) Surfaces: A DFT + U Study

Supporting Information

Defects in TiO 2 Crystals

Supplementary Information

Special Properties of Au Nanoparticles

Direct Atomic-Scale Confirmation of Three-Phase Storage Mechanism in Li 4 Ti 5 O 12 Anodes for Room-Temperature Sodium-Ion Batteries

UTC Power, South Windsor, CT United Technologies Research Center, East Hartford, CT

First Principles Calculation of Defect and Magnetic Structures in FeCo

correlation with magnetism Citation PHYSICAL REVIEW B (2009), 80(7) Right 2009 The American Physical Societ

Supporting Information

1 IMEM-CNR, U.O.S. Genova, Via Dodecaneso 33, Genova, IT. 2 Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, Genova, IT

Molybdenum compound MoP as an efficient. electrocatalyst for hydrogen evolution reaction

Supporting Information

Millimeter-Thick Single-Walled Carbon Nanotube Forests: Hidden Role of Catalyst Support

Supporting Information Tuning Local Electronic Structure of Single Layer MoS2 through Defect Engineering

SUPPLEMENTARY INFORMATION

O 2 -coverage-dependent CO oxidation on reduced TiO : A first principles study

SUPPLEMENTARY INFORMATION

Supplementary information

Selectivity in the initial C-H bond cleavage of n-butane on PdO(101)

Supporting Information

Au particles supported on (110) anatase-tio 2

Graphene Annealing: How Clean Can It Be?

DFT Study of CO Oxidation Catalyzed by Au/TiO 2 : Activity of Small Clusters

Department of Physics, Graduate School of Science, Osaka University Assistant Professor Yutaka Ohno

Supplementary Information

SUPPLEMENTARY INFORMATION

Supporting information

Supporting Information

Citation PHYSICAL REVIEW B (2007), 75(1) RightCopyright 2007 American Physical So

Electronic Properties of Au Nano-Particles Supported on Stoichiometric and Reduced TiO 2 (110) Substrates

SUPPLEMENTARY INFORMATION

Size-selected Metal Cluster Deposition on Oxide Surfaces: Impact Dynamics and Supported Cluster Chemistry

REPORT DOCUMENTATION PAGE. Theoretical Study on Nano-Catalyst Burn Rate. Yoshiyuki Kawazoe (Tohoku Univ) N/A AOARD UNIT APO AP

Microstructure evolution during BaTiO 3 formation by solid-state reactions on rutile single crystal surfaces

Structure and apparent topography of TiO surfaces

Au-C Au-Au. g(r) r/a. Supplementary Figures

Structural Understanding of Superior Battery Properties of Partially Ni-doped Li 2 MnO 3 as Cathode Material

M any functional properties observed in perovskite oxides, ABO3, exhibit close couplings to slight structural

Supporting Information. Don-Hyung Ha, Liane M. Moreau, Clive R. Bealing, Haitao Zhang, Richard G. Hennig, and. Richard D.

Supporting Online Material (1)

This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and

Origin of Metallic States at Heterointerface between Band Insulators LaAlO 3 and SrTiO 3

Supplementary Information. Pd L-series. Supplementary Figure 1. Energy Dispersive Spectroscopy (EDS). The analysis is of the boxed

Aberration-corrected TEM studies on interface of multilayered-perovskite systems

SnO 2 Physical and Chemical Properties due to the Impurity Doping

Characterisation of Nanoparticles using Advanced Electron Microscopy

Supporting Information. Modulating the photocatalytic redox preferences between

Supporting Information

Supplementary Figure 1. SEM characterization. SEM image shows the freshly made CoSe 2 /DETA nanobelt substrates possess widths of nm and

Supporting Data. The University of Texas at Dallas, 800 West Campbell Road, Richardson, Texas 75080, United

Structural Effect on the Oxygen Evolution Reaction in the Electrochemical Catalyst FePt

Oxygen Adsorption on Anatase TiO 2 (101) and (001) Surfaces from First Principles

SUPPLEMENTARY INFORMATION

Direct CO Oxidation by Lattice Oxygen on Zr-Doped Ceria Surfaces

Supplementary Figure 1 Experimental setup for crystal growth. Schematic drawing of the experimental setup for C 8 -BTBT crystal growth.

Imaging of built-in electric field at a p-n junction by scanning transmission electron microscopy

Electronic supplementary information for:

Scaling during shadowing growth of isolated nanocolumns

Supporting Information for

1-amino-9-octadecene, HAuCl 4, hexane, ethanol 55 o C, 16h AuSSs on GO

*Specifications subject to change without notice.

Efficient Hydrogen Evolution. University of Central Florida, 4000 Central Florida Blvd. Orlando, Florida, 32816,

Supplementary information

For preparing Sn adatoms on the Si(111)-(7 7) surface, we used a filamenttype

SUPPLEMENTARY INFORMATION

Covalent Nitrogen Doping and Compressive Strain

Site-Selective Electronic Structure of Aluminum in Oxide Ceramics Obtained by TEM-EELS Analysis Using the Electron Standing-Wave Method

Our first-principles calculations were performed using the Vienna Ab Initio Simulation

The Low Temperature Conversion of Methane to Methanol on CeO x /Cu 2 O catalysts: Water Controlled Activation of the C H Bond

Supporting Information

CO Adsorption Site Preference on Platinum: Charge Is the Essence

Supporting Information for. Size-Dependent Oxidation State and CO Oxidation Activity of Tin

Rh 3d. Co 2p. Binding Energy (ev) Binding Energy (ev) (b) (a)

Transcription:

TitleInterface Structures of Gold Nanopa Author(s) Shibata, N.; Goto, A.; Matsunaga, K S. D.; Yamamoto, T.; Ikuhara, Y. Citation PHYSICAL REVIEW LETTERS (2009), 102 Issue Date 2009-04 URL http://hdl.handle.net/2433/109848 Right 2009 The American Physical Societ Type Journal Article Textversion publisher Kyoto University

Interface Structures of Gold Nanoparticles on TiO 2 (110) N. Shibata, 1,2, * A. Goto, 1 K. Matsunaga, 3,4 T. Mizoguchi, 1 S. D. Findlay, 1 T. Yamamoto, 1,4 and Y. Ikuhara 1,4,5 1 Institute of Engineering Innovation, School of Engineering, The University of Tokyo, Bunkyo-ku, Tokyo 113-8656, Japan 2 PRESTO, Japan Science and Technology Agency, 4-1-8 Honcho Kawaguchi, Saitama 332-0012, Japan 3 Department of Materials Science and Engineering, Kyoto University, Yoshida- Honmachi, Sakyo, Kyoto 606-8501, Japan 4 Nanostructures Research Laboratory, Japan Fine Ceramic Center, 2-4-1 Mutsuno, Atsuta-ku, Nagoya 456-8587, Japan 5 WPI Advanced Institute for Materials Research, Tohoku University, 2-1-1, Katahira, Aoba-ku, Sendai 980-8577, Japan (Received 16 September 2008; published 3 April 2009) Scanning transmission electron microscopy and density functional theory are used to characterize atomic structures of nanoscale heterointerfaces between gold nanoparticles and a TiO 2 (110) surface. It is found that when the gold nanoparticle size is smaller than a few nanometers, gold atoms preferentially attach to specific sites on the TiO 2 surface and thus form an epitaxial and coherent heterointerface. Conversely, as the gold size becomes larger, the gold-tio 2 interface loses lattice coherency in order to accommodate the large lattice mismatch between the two dissimilar crystals. DOI: 10.1103/PhysRevLett.102.136105 PACS numbers: 68.35. p, 61.46.Df, 68.37.Ma Gold nanoparticles dispersed on metal-oxide supports are active catalysts for a variety of chemical reactions [1 4]. It has been demonstrated that the unique catalytic activity strongly depends on the size of Au nanoparticles and the type of metal-oxide support [2,5], suggesting the importance of Au-support interfacial interactions on a nanometer scale. However, a detailed description of nanoscale heterointerface formation has not been established, especially its relation to the Au nanoparticle size, and the size-dependent catalytic activity of supported Au is still a matter of conjecture. It is thus essential to characterize the atomic structure of nanosized Au-support interfaces in order to truly understand the origin of the remarkable catalytic activity with strong particle size dependency. Atomic-resolution scanning transmission electron microscopy (STEM) is a powerful method for characterizing metal cluster catalysts at subnanometer dimensions [6,7]. Under the high-angle annular dark-field (HAADF) imaging mode, the STEM image can be considered as an incoherent image, and the image intensity strongly depends on the atomic number (Z) of the constituent atoms [8]. In this study, Au=TiO 2 (110) model catalysts were fabricated and atomic-resolution plan-view STEM imaging was carried out to directly observe the atomic structures of Au nanoparticles on the TiO 2 (110) surface. The observed structures are interpreted using first-principles density functional theory (DFT) calculations. A commercially available rutile TiO 2 (110) substrate was thinned down by mechanical polishing followed by ion bombardment to obtain electron transparent TEM samples. The TEM samples were annealed in air at 973 K for 30 min to produce atomically flat (110) surfaces, in accordance with previous reports [9 11]. High-purity gold (99.95%) was deposited on the TEM sample surface by vacuum evaporation at room temperature with a base pressure of about 1 10 3 Pa. Atomic-resolution HAADF STEM images were taken with a 200-kV JEM- 2100F TEM-STEM electron microscope (JEOL Ltd., Tokyo, Japan) equipped with an aberration corrector (CEOS GmbH, Heidelberg, Germany). A HAADF detector with an inner angle greater than 70 mrad was used for the STEM observations. Figure 1(a) shows a HAADF STEM image of a rutile TiO 2 crystal observed in the h110i projection. There are two types of bright spots with different image intensities as indicated by the arrows. These bright spots correspond to the two different Ti-containing columns as shown schematically in Fig. 1(b). The brighter spots correspond to the atomic columns with both Ti and O atoms (Ti-O columns), FIG. 1 (color). (a) Atomic-resolution HAADF STEM image of a rutile TiO 2 single crystal observed from h110i direction. (b) The corresponding crystal structure model. (c) Typical HAADF STEM image of Au nanoparticles deposited on a TiO 2 (110) surface. (d) HAADF STEM image of single Au atoms on the TiO 2 (110) surface. Inset shows the image intensity profile across a single Au atom, showing strong image intensity on the Ti-O columns. 0031-9007=09=102(13)=136105(4) 136105-1 Ó 2009 The American Physical Society

while the darker spots correspond to the atomic columns with body-centered Ti atoms only (Ti-only columns), as confirmed by HAADF STEM simulation [12]. The signal from the oxygen columns is extremely weak, and thus the troughs in between the Ti-containing columns appear dark. Figure 1(c) shows a typical HAADF STEM image of Au nanoparticles deposited on the TiO 2 (110) surface. The Au nanoparticles on the TiO 2 surface are clearly visible due to the strong Z-dependent image contrast (Z: Au ¼ 79, Ti ¼ 22, O ¼ 8). The projected Au nanoparticle sizes are in the range 1 5 nm. Figure 1(d) shows single Au atoms attached on the TiO 2 (110) surface as indicated by the arrows. The strong image intensity of the Au single atoms is preferentially found on top of Ti-O columns. This site corresponds to the on-top sites of bridging O sites (O br ) or fivefold Ti sites on the stoichiometric TiO 2 (110) surface. Previous scanning tunnel microscopy studies and DFT calculations showed that Au atom adsorption on the TiO 2 (110) surface strongly depends on the surface chemistry [13 18]. If the surface is stoichiometric, Au adsorption on top of the fivefold coordinated Ti sites is most energetically stable [13,14,17]. If the surface is reduced and O br vacancies are introduced, Au atoms are most stable on the O br vacancy sites [13 16,18]. These two possibilities agree well with our STEM images. On the other hand, if the surface is oxidized or hydrated, the stable attachment sites become inconsistent with our images [14,18]. The observed Au single atoms are thus considered to be either on the fivefold coordinated Ti sites or the O br vacancy sites on the TiO 2 (110) surface. In the present experiment, however, there should be a certain amount of surface oxygen vacancies because the Au deposition was done in vacuum condition. Thus, Au atoms observed here are more likely to attach to the vacancy sites. Figures 2(a) 2(e) show typical atomic-resolution HAADF STEM plan-view images of Au nanoparticles on a TiO 2 (110) surface, arranged in order of projected particle size. It is seen that the atomic structures of both Au and TiO 2 can be simultaneously resolved. In the case of very small Au islands (< 2nm), as in Figs. 2(a) and 2(b), the strong image intensities corresponding to Au atoms are found on the Ti-O columns and on the O columns along the trough of the Ti-containing columns [along the arrows in the magnified image in Fig. 2(f)]. The strong preference of Au atom attachments on the Ti-O columns is consistent with the Au single atom cases. The present results suggest that Au atoms in the small Au islands also preferentially attach to specific sites on the TiO 2 surface, and therefore form an epitaxial coherent-type heterointerface [19]. These epitaxial Au islands are not only small in size, but are also very thin (a few atomic layers) as estimated from the STEM image intensity profiles. If the Au atoms on the Ti-O columns are in the first Au atomic layer, Au atoms on the trough of Ti-containing columns (on top of O columns) can be considered as second layer atoms, because nearest Au-Au distances would be too close to each other (less than 80% of the stable Au-Au interatomic distance in bulk Au) 136105-2 FIG. 2 (color). (a) (e) HAADF STEM images of Au nanoparticles arranged in order of projected particle size. The lattice coherency between Au nanoparticles and TiO 2 substrate clearly changes according to the Au particle size [(a) and (b) are coherent, but (c) (e) are incoherent]. (f) Magnified image of the epitaxial Au structure shown in (a). Not only Au sites on top of Ti-O columns, but also Au sites on top of O columns in the troughs of Ti-containing columns (along the arrows) are resolved. (g) A histogram of the formation of coherent or incoherent interfaces as a function of Au nanoparticle lateral size estimated from the HAADF STEM images. if these Au atoms were on the same first atomic layer. This proposed Au bilayer stacking sequence is similar to the (110) stacking (f110g Au kf110g TiO2, h100i Au kh110i TiO2 ) or (100) stacking (f100g Au kf110g TiO2, h110i Au k h110i TiO2 ) of fcc Au on TiO 2 (110), despite the extremely large lattice mismatch (>20%) in one direction. On the other hand, if the Au size becomes larger (> 3nm), as in Figs. 2(c) 2(e), various orientation relationships exist between the Au nanoparticles and the TiO 2 substrate. Frequently observed moiré fringes [20] suggest that the lattices are gradually displaced or rotated from each other. These results indicate that the Au=TiO 2 (110) interface is not a coherent interface, but an

incoherent-type heterointerface [19], which is often found in large-mismatched metal-oxide heterointerface systems [21,22]. Figure 2(g) shows a histogram of the formation of coherent or incoherent interfaces as a function of the projected Au nanoparticle size. Although the thickness of the Au nanoparticles along the beam direction is difficult to precisely estimate, our systematic observations strongly suggest that there is a structural transition at the Au=TiO 2 (110) interface for Au particles around 2 3 nm in size. To verify the structural transition at the Au=TiO 2 interfaces theoretically, first-principles DFT calculations were performed on model Auð110Þ ktio 2 ð110þ interfaces, whose interface orientation is based on the one estimated from the STEM images in Fig. 2. The projector augmented wave method, implemented in the VIENNA ab initio simulation package, was used [23]. The electron exchangecorrelation potential was described by the generalized gradient approximation in the form of Perdew, Burke, and Ernzerhof [24]. Spin polarization was included throughout the calculations. Brillouin-zone sampling using a 1 8 1 Monkhorst-Pack mesh [25] (four irreducible k points) was performed for the Au=TiO 2 supercells. It was confirmed that these conditions ensured a good total energy convergence of 1 mev=atom for the Au=TiO 2 supercells. To estimate the effect of Au nanoparticle mass on the interface structure, two interface models with two (thin) and nine (thick) Au atomic layers stacked on the TiO 2 surfaces were simulated [26]. To allow for the large interfacial misfits in the simulation, the TiO 2 (110) and Au (110) surface units were extended by 1 5 and 1 8, respectively, to minimize the total lattice mismatch between the extended TiO 2 and Au slabs in the initial structure. According to our systematic DFT calculations, the stable termination of TiO 2 in the interface formation is strongly dependent on the external atmosphere and the reduced TiO 2 surface termination is more stable than the stoichiometric one in the reducing atmosphere [27]. Because our Au deposition was done in a reducing atmosphere, the reduced TiO 2 (110) termination model for the initial Au=TiO 2 interface models was used. In fact, the reduced interface model can reasonably reproduce the Au island structure observed by STEM. DFT calculations of the same two-layer Au on the stoichiometric TiO 2 (110) surface were also performed, but the results were inconsistent with our experimental observation. Figures 3(a) and 3(b) show the relaxed structures of the respective interface models. In the case of the two-layer model, Au atoms significantly relax their positions: Au atoms in the first layer move to the on-top sites of the Ti-O columns (O br vacancy sites), whereas Au atoms in between these sites merge into the top surface layer. As a result, the Au structure shows the unique structural feature that the second Au layer is attached on the first Au layer rigidly anchored by the TiO 2 substrate. The Au atomic positions in the epitaxial islands are consistent with our 136105-3 experimental observations, which can also be confirmed from the STEM image simulation shown in the inset. In the case of the nine-layer model, the relaxed structure shows no obvious lattice coherency at the Au=TiO 2 inter- FIG. 3 (color). DFT-relaxed atomic structures of Au=TiO 2 interfaces with (a) two atomic-layer Au and (b) nine atomiclayer Au on the reduced TiO 2 (110) surface. Insets in (a) show the comparison between experimental and simulated HAADF STEM images based on the DFT obtained epitaxial Au structure viewed from h110i plan-view direction. (c) The total electron density profiles projected onto the atomic layers across the Au=TiO 2 interfaces in the two models. According to the Barder charge analysis [28] of our DFT results, the extra negative charge per Au atom in the two-layer model is estimated to be 0:15 electron=atom.

face. The first layer Au atoms are likely to move their position to the stable sites as in the two-layer model, but the thick atomic layers above the first layer prevent any drastic structural relaxation at the interface. Thus the interface keeps incoherentlike structure as in the initial unrelaxed structure. The present results indicate that the interfacial coherency is strongly dependent on the mass of Au nanoparticles, consistent with our experimental observations. Figure 3(c) shows the total electron density projected onto the atomic layers across the Au=TiO 2 interfaces in the above two models. An anomalous increase in the electron density is found at the top surface Au layer in the two-layer model. This is attributed to the increased atomic density at the top surface layer of the reconstructed Au structure. Moreover, electron transfer from the reduced TiO 2 surface to the Au layers is observed. The reconstructed electronic structure of the two-layer Au is thus completely different from that of bulk Au. In contrast, the electron density change in the Au structure in the nine-layer model is much smaller and limited to within a few atomic layers from the interface. Above those interface layers, the electron density of Au becomes similar to that of the bulk Au. These results suggest that the electronic structure of Au nanoparticles is strongly influenced by the structure of the nanoscale heterointerface. In summary, the present study demonstrates that the atomic structure of Au nanoparticles is strongly influenced by the supporting TiO 2 surfaces. When the Au nanoparticles are very small and atomically thin, the strong templating behavior of the TiO 2 surface reconstructs both the atomic and the electronic structure of the Au nanoparticles. When the Au nanoparticle size becomes larger and thicker, the interface loses lattice coherency in order to accommodate large lattice mismatch, and the support effect rapidly decays across the interface. Our systematic observations thus clearly show that there is a structural transition at the Au=TiO 2 (110) interface depending on the Au particle size. We believe the strong interaction between nanosized Au and oxide support via unique nanoscale heterointerface structure will be an essential factor in understanding the origin of size-dependent catalytic activity of Au nanoparticles supported on metal oxides. This work was supported in part by the Grant-in-Aid for Scientific Research on Priority Areas Nano Materials Science for Atomic-scale Modification 474 from the Ministry of Education, Culture, Sports and Technology (MEXT) of Japan. N. S. acknowledges support from PRESTO, Japan Science and Technology Agency, and from New Energy and Industrial Technology Development Organization (NEDO). S. D. F. is supported by the Japan Society for the Promotion of Science (JSPS). *shibata@sigma.t.u-tokyo.ac.jp [1] M. Haruta, N. Yamada, T. Kobayashi, and S. Iijima, J. Catal. 115, 301 (1989). [2] M. Valden, X. Lai, and D. W. Goodman, Science 281, 1647 (1998). [3] T. Hayashi, K. Tanaka, and M. Haruta, J. Catal. 178, 566 (1998). [4] F. Boccuzzi et al., J. Catal. 188, 176 (1999). [5] M. Haruta, Catal. Today 36, 153 (1997). [6] P. D. Nellist and S. J. Pennycook, Science 274, 413 (1996). [7] S. N. Rashkeev et al., Phys. Rev. B 76, 035438 (2007). [8] S. J. Pennycook and D. E. Jesson, Ultramicroscopy 37, 14 (1991). [9] R. Nakamura et al., J. Phys. Chem. B 109, 1648 (2005). [10] Y. Lu, B. Jaeckel, and B. A. Parkinson, Langmuir 22, 4472 (2006). [11] N. Shibata et al., Science 322, 570 (2008). [12] L. J. Allen, S. D. Findlay, M. P. Oxley, and C. J. Rossouw, Ultramicroscopy 96, 47 (2003). [13] Y. Wang and G. S. Hwang, Surf. Sci. 542, 72 (2003). [14] K. Okazaki et al., Phys. Rev. B 69, 235404 (2004). [15] A. Vijay, G. Mills, and H. Metiu, J. Chem. Phys. 118, 6536 (2003). [16] E. Wahlström et al., Phys. Rev. Lett. 90, 026101 (2003). [17] Z. X. Yang, R. Wu, and D. W. Goodman, Phys. Rev. B 61, 14 066 (2000). [18] D. Matthey et al., Science 315, 1692 (2007). [19] D. Wolf, in Materials Interfaces: Atomic-Level Structure and Properties, edited by D. Wolfand and S. Yip (Chapman and Hall, London, 1992), pp. 1 57. [20] D. B. Williams and C. B. Carter, Transmission Electron Microscopy: A Textbook for Materials Science. Imaging III (Plenum Press, New York, 1996), pp. 441 455. [21] Y. Ikuhara et al., Philos. Mag. A 70, 75 (1994). [22] K. Matsunaga et al., Phys. Rev. B 74, 125423 (2006). [23] G. Kresse and D. Joubert, Phys. Rev. B 59, 1758 (1999). [24] J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996). [25] H. J. Monkhorst and J. D. Pack, Phys. Rev. B 13, 5188 (1976). [26] In the two-layer model, one atomic layer of Au was initially relaxed on the TiO 2 surface, and then the next Au (110) layer was stacked and relaxed on the stable onelayer structure. The Au surfaces were separated by a vacuum space about 1 nm thick. [27] We performed thermodynamic analyses of the TiO 2 (110) surface energy and the Au-TiO 2 interface energy based on the DFT results. Compared to the stoichiometric case, we found that the reduced TiO 2 (110) surface is unstable over a wide range of oxygen chemical potential, whereas the reduced Au=TiO 2 ð110þ interface becomes more stable in relatively low oxygen chemical potential. [28] G. Henkelman, A. Arnaldsson, and H. Jónsson, Comput. Mater. Sci. 36, 354 (2006). 136105-4