Abstract
Nickel vapor-deposited on the SrTiO3(110) surface was studied using scanning tunneling microscopy, photoemission spectroscopy (PES), and density functional theory calculations. This surface forms a (4 × 1) reconstruction, composed of a 2-D titania structure with periodic six- and ten-membered nanopores. Anchored at these nanopores, Ni single adatoms are stabilized at room temperature. PES measurements show that the Ni adatoms create an in-gap state located at 1.9 eV below the conduction band minimum and induce an upward band bending. Both experimental and theoretical results suggest that Ni adatoms are positively charged. Our study produces well-dispersed single-adatom arrays on a well-characterized oxide support, providing a model system to investigate single-adatom catalytic and magnetic properties.
Introduction
Scanning probe microscopy studies of single adatoms on surfaces have revealed novel physical phenomena.1,2 In addition, single-metal adatoms on oxide supports have shown remarkable performance in catalytic reactions.3−6 Approaches to produce single-metal adatom arrays include mass-selected soft-landing, wet-chemistry approaches, as well as vapor deposition in ultrahigh vacuum (UHV) conditions.3,7,8 However, stabilizing single atoms on oxide supports has remained a significant challenge because sintering occurs under realistic reaction conditions.9−11 Special sites such as defects, moiré patterns, and reconstructions with strong modulation of surface potential8 make it possible to anchor and stabilize single-metal adatoms. Recently, Freund and coworkers have demonstrated that a 2D porous silica structure grown on metal substrates is a suitable candidate for stabilizing single adatoms such as Li, Fe, Ag, and Pd.12−14 This silica structure is composed of a single layer of corner-sharing SiO4 tetrahedra that form six-membered rings of 5 Å diameter.15 Here we introduce a 2D porous titania structure on SrTiO3 that can serve as a template for single-metal adatoms.
Strontium titanate (SrTiO3), the prototypical perovskite oxide, has attracted extensive interest.16−21 Surface reconstructions on various SrTiO3 faces often consist of porous 2D titania structures.22−25 For the (110) orientation, a 2D titania overlayer consisting of a single layer of TiO4 tetrahedra resides directly on the last (SrTiO)4+ plane.23 The tetrahedra share oxygen corners and form networks of rings of variable sizes. For example, six- and ten-membered rings are found on the SrTiO3(110)-(4 × 1) surface. (See Figure 1b.)23 The six-membered ring has a diameter of 5.5 Å, providing a perfect site for accommodating single Sr adatoms.26 The Sr adatoms (Figure 1a) are an integral part of the structure26 because they assist in compensating the polarity inherent in the (110) surface. The Sr adatoms are well-dispersed and have remarkably high thermal stability. They thus could serve as nucleation centers and guide the growth of an array of noble-metal nanostructures.27 We explore the formation of Ni adatoms on the 2D porous titania structure on the SrTiO3 surface. Ni/SrTiO3 can be considered as a model system to investigate single-atom catalysis in, for example, water splitting.28 Scanning tunneling microscopy (STM) measurements show that two types of single Ni adatoms adsorb at the six- and ten-membered rings, respectively. Photoemission spectroscopy (PES) experiments show that the Ni adatoms introduce an in-gap state and an upward band bending. Experimental and theoretical results suggest that the Ni adatoms are positively charged.
Methods
STM experiments were performed in an UHV system with a SPECS Aarhus STM at room temperature (RT).29 Synchrotron radiation PES experiments were performed at beamline I311 at the MAX IV Laboratory.30 The pressure in both UHV systems was better than 1 × 10–10 mbar. Nb-doped (0.5 wt %) SrTiO3 single crystals (5 mm × 5 mm × 0.5 mm) were purchased from CrysTec, Germany. A clean surface was prepared by cycles of Ar+ sputtering (1 keV, 5 μA, 10 min), followed by annealing in O2 at pressures of 2 × 10–6 mbar at 1000 °C for 1 h.31 The samples were heated by electron bombardment (13 mA, 900 V) at the back, and the temperature was monitored with an infrared pyrometer. High-purity (99.999%) Ni metal was deposited on the surface at RT by an e-beam evaporator (Omicron EFM3). The deposition rate of 0.05 Å/min was calibrated using a quartz crystal microbalance. Spin-polarized density functional theory (DFT) calculations were carried out with the “Vienna ab initio simulation package” (VASP) code.32,33 We adopted the projector-augmented-wave method34 and the Perdew–Burke–Ernzerhof functional35 with a kinetic energy cutoff of 600 eV for plane waves. A Monkhorst–Pack k-point mesh (2 × 3 × 1) was used. The surface structure was modeled with a supercell that was symmetric along the [110] direction and consisted of a nine-layer slab separated by a vacuum layer of 12 Å. The atoms in the central three layers were fixed, and the other atoms were allowed to relax until the force on each atom was <0.02 eV/Å. Simulated STM images were generated with the Tersoff–Hamann approximation36 by integrating the local density of states from the Fermi level to 1.5 eV above the conduction band edge. To take electronic correlation into account, we applied an additional on-site Coulomb repulsion term with Ueff = 4.5/5.5 eV to the Ti/Ni 3d states, respectively.
Results
STM images of the SrTiO3(110)-(4 × 1) surface exhibit quasi-1-D stripes along the [11̅0] direction.37 (See Figure 1a.) Each (4 × 1) stripe contains two bright rows of periodic dots, corresponding to the TiIII and TiII atoms in the six-membered rings.26,38 (See Figure 1b.) The stripes are separated by a dark trench originating from the TiI atoms in the ten-membered rings. Single Sr adatoms with a typical apparent height of 240 pm are located in the middle of the six-membered rings, bonded to four oxygen atoms. (See Figures 1b and 2b.)26
In Figure 2a, we present an empty-state STM image following deposition of 0.01 Å Ni on the SrTiO3(110) surface at RT. In addition to Sr adatoms, two types of bright protrusions are observed. Each of these protrusions has the same adsorption site and an apparent height of ∼150 pm, and thus we conclude that each bright protrusion contains only one Ni atom. One type of Ni adatoms is located at the side of the (4 × 1) stripes (labeled with red arrows in Figure 2a); the other one appears at the center of the stripes, similar to the Sr adatoms but with smaller size (labeled with blue arrows in Figure 2a). Both types of Ni adatoms prefer to adsorb close to the intrinsic Sr adatoms. By superimposing a structural model on a high-resolution STM image, it is apparent that the center Ni adatom is located in a six-membered ring, whereas the side Ni adatom is located at the corner of a ten-membered ring. (See the red and blue arrows in Figure 2b.)
To determine the adsorption sites and energies, we have performed DFT calculations of Ni adatoms at various sites of the SrTiO3(110)-(4 × 1) surface. (See Figure 1b.) A Ni atom (NiI) attached between O4 and O4′ atoms in the six-membered ring constitutes the most favorable configuration with an adsorption energy of 1.1 (−3.4) eV with the reference to a Ni atom in the bulk fcc lattice (gas phase).39 (See Figure 1b and Table 1.) The adsorption energy is ∼0.3 eV less favorable when the Ni atom is placed between O4′ and O5 atoms in the six-membered ring (NiII) or between O2′ and O3′ atoms in the ten-membered ring (NiIII). (See Figure 1b.) All other configurations are energetically less favorable, with a more than 1 eV higher adsorption energy (not shown here). Note the clear dependence between bond length and adsorption energy; for example, the shorter the bond length, the larger the adsorption energy. In simulated STM images, the Ni adatoms are present as bright protrusions in Figure 2c–e. We conclude that the NiI and NiIII adatoms observed in Figure 2b reside in center positions (in six-membered rings) and side positions (in ten-membered rings), respectively.
Table 1. Characterization of Adsorption Configurations of Ni Adatom on the SrTiO3(110)-(4 × 1) Surfacea.
configurations | I | II | III |
---|---|---|---|
Eadsbulk | 1.11 | 1.49 | 1.38 |
Eadsgas | –3.38 | –3.0 | –3.1 |
Ni–O bonding length | 1.790, 1.790 | 1.828, 1.839 | 1.819, 1.832 |
bonding angle | 172 | 162 | 168 |
height | 0.801 | 0.468 | 0.596 |
magnetic moments (μB) | 0.484 | 0.927 | 0.21 |
Bader charge | +0.30 | +0.60 | +0.20 |
Listed are adsorption energy Eads (eV/Ni atom), referenced to bulk Ni and Ni in the gas phase, respectively,39 the length of the Ni–O bond (Å), the O–Ni–O bonding angle (deg), the height of the Ni atom (Å) compared with the surface plane of the TiI atom, the magnetic moment (μB), as well as the Bader charge analysis for Ni adatoms in the three configurations shown in Figure 1. The calculations were done within the GGA+U scheme.
Figure 3a shows a STM image after deposition of 0.05 Å Ni at RT. Ni single adatoms are again present and adsorbed near the intrinsic Sr adatoms, forming well-dispersed arrays. Statistics over a number of STM images (Figure 3c) show that Ni adatoms prefer the center position (0.029 ± 0.011 nm–2) to the side position (0.018 ± 0.008 nm–2) at low coverage. As the coverage increases, the density of the side Ni adatoms increases to 0.077 ± 0.025 nm–2, while the density of the center Ni adatom almost stays constant (0.025 ± 0.018 nm–2). In addition, clusters with apparent heights ranging from 300 to 400 pm start to form. These clusters appear along the Sr meandering lines, attributed to Ni atoms adsorbing on the Sr adatoms (labeled with yellow arrows in Figure 3a).
Figure 4a shows the Ni 2p core-level photoemission spectra of a Ni coverage of 0.1 Å on the SrTiO3(110)-(4 × 1) surface. For the surface with Ni clusters, the Ni 2p3/2 peak is positioned at 852.8 eV; for the adatoms it is shifted by 0.2 eV to a higher binding energy of 853.0 eV. (See the inset of Figure 4a.)
To further characterize the electronic structure, we performed valence-band PES measurements. (See Figure 4b.) The valence band of the clean surface shows mainly O 2p-derived features. The valence-band maximum is located at 3.2 eV below the Fermi level, and no surface states are observed in the band-gap region. (See the inset in Figure 4b.)21,29 After depositing Ni adatoms, the whole spectrum shifts slightly to lower binding energy, and an in-gap state with a binding energy of 1.9 eV is observed. (See the blue curve in the inset of Figure 4b.) On the surface with Ni clusters, an in-gap state appears at a binding energy of 1.3 eV.
Discussion
The DFT results in Table 1 predict that the center Ni adatom is more favorable than the side configuration, which is in accord with the STM results for Ni low coverages. Two side positions can be occupied in a (4 × 1) unit cell, while just one position is available for the center NiI adatom. (See the structural model in Figure 1b.) This two-fold side adsorption position can simply explain the experimental observation of the higher density of side Ni adatom when increasing the Ni coverage. (See Figure 3c.)
Note that the adsorption energy for all adatom configurations is positive with respect to a Ni atom in bulk fcc lattice. (See Table 1.) This implies that it is thermodynamically more favorable for Ni to form clusters on the SrTiO3(110) surface. This is consistent with the experimental results that Ni adatoms can change into clusters (with apparent heights of ∼600 pm) upon mild annealing (<300 °C) in UHV. (See Figure 3b.) However, single Ni adatoms are preferred to form on the surface, even at RT. On the one hand, Ni vapor will adsorb on the surface as single adatoms first. On the other hand, sintering of Ni adatoms is kinetically hindered on the surface. This indicates that the nanopores on the SrTiO3-(4 × 1) surface play an important role for anchoring and stabilizing single adatoms.
Although the origin of in-gap states on SrTiO3 is still under debate,40,41 these states typically appear at a binding energy of 1.3 eV, for example, through electron doping with atomic hydrogen or oxygen vacancies.29,42 Note that in these cases the formation of in-gap states is accompanied by a downward surface band bending due to electrons confined in the near-surface region.21 However, the in-gap state observed here, especially induced by Ni adatoms, is different from previous ones. On the Ni adatom surface, the in-gap state locates at 1.9 eV instead of 1.3 eV below EF. In addition, the band bends upward (see Figure 6), which is opposite to the downward band bending observed in refs (21) and (29). Furthermore, a clear size dependence for the in-gap states is observed (see Figure 4b), suggesting that the in-gap states are originated from the deposited Ni on the surface.
To complement the photoemission spectra and obtain an understanding of the electronic properties of the Ni adatoms on the SrTiO3(110)-(4 × 1) surface, we have calculated the density of states for the most stable configuration of the NiI adatom. (See Figure 5.) The most relevant feature is the appearance of in-gap states right above the valence-band maximum, in line with the photoemission data. These states mainly originate from the Ni 3d orbitals and locate on the surface. Because they are below the Fermi level (see the lower panel of Figure 5), electrons from Nb dopant atoms in the SrTiO3 layers can transfer into the surface states, and an upward band bending occurs. This is consistent with the experimental results that valence-band and O 1s core-level spectra shift to lower binding energies after depositing Ni adatoms. (See Figures 4a and 6a.)
The charge state of single adatoms on oxide supports is important for their reactivity;4 for example, both experimental and theoretical results have suggested that charged Au metal adatoms reduce the adsorption energy of small molecules as well as activation barriers for selected reactions.43 The charge state of the Ni adatom is tentatively assigned to positive as the Ni 2p core-level spectrum shifts to higher binding energy in Figure 4a; however, caution is required due to final state effects in core-level PES.44 Further insight into the Ni charge state can be obtained from the Bader charge analysis on the basis of the DFT calculations. Table 1 lists the Bader charges for the Ni atom for the preferred configurations and the corresponding magnetic moment within GGA+U scheme. It reveals that positively charged Ni adatoms are formed with Bader charges of +0.3 and +0.2 for the NiI and NiIII adatom, respectively. Note that in DFT calculations we do not consider n-type doped SrTiO3 samples were used in our experiments. Correspondingly, the magnetic moment of 0.5 and 0.2 μB is found for the NiI and NiIII adatom, respectively. Apparently, the magnetic moment of the Ni atom is reduced but not completely quenched compared with the magnetic moment of 0.6 μB of bulk fcc Ni.
Conclusions
In summary, we demonstrate that single Ni adatoms can be stabilized at the 2D porous titania on the SrTiO3(110) surface at RT. Two types of Ni adatoms are formed by anchoring into the six- and ten-member nanopores, respectively. The Ni adatoms induce surface states at a binding energy of 1.9 eV and result in an upward band bending. Experimental and theoretical results suggest that Ni adatoms could be positively charged. Our study creates well-dispersed single-adatom arrays on a well-characterized oxide support, providing a model system to investigate single adatom catalytic and magnetic properties.
Acknowledgments
This work was supported by the Austrian Science Fund (FWF) under Project No. F45 and the ERC Advanced Research Grant “OxideSurfaces”. R.B. acknowledges support from the Doctoral College “Solids for Function”. The computational results presented have been achieved using the Vienna Scientific Cluster (VSC).
The authors declare no competing financial interest.
References
- Ternes M.; Heinrich A. J.; Schneider W.-D. Spectroscopic Manifestations of the Kondo Effect on Single Adatoms. J. Phys.: Condens. Matter. 2009, 21, 053001. [DOI] [PubMed] [Google Scholar]
- Wiesendanger R. Single-atom Magnetometry. Curr. Opin. Solid State Mater. Sci. 2011, 15, 1–7. [Google Scholar]
- Yang X.-F.; Wang A.; Qiao B.; Li J.; Liu J.; Zhang T. Single-Atom Catalysts: A New Frontier in Heterogeneous Catalysis. Acc. Chem. Res. 2013, 46, 1740–1748. [DOI] [PubMed] [Google Scholar]
- Qiao B.; Wang A.; Yang X.; Allard L. F.; Jiang Z.; Cui Y.; Liu J.; Li J.; Zhang T. Single-atom Catalysis of CO Oxidation Using Pt1/FeOx. Nat. Chem. 2011, 3, 634–641. [DOI] [PubMed] [Google Scholar]
- Lin J.; Wang A.; Qiao B.; Liu X.; Yang X.; Wang X.; Liang J.; Li J.; Liu J.; Zhang T. Remarkable Performance of Ir1/FeOx Single-Atom Catalyst in Water Gas Shift Reaction. J. Am. Chem. Soc. 2013, 135, 15314–15317. [DOI] [PubMed] [Google Scholar]
- Moses-DeBusk M.; Yoon M.; Allard L. F.; Mullins D. R.; Wu Z.; Yang X.; Veith G.; Stocks G. M.; Narula C. K. CO Oxidation on Supported Single Pt Atoms: Experimental and ab Initio Density Functional Studies of CO Interaction with Pt Atom on θ-Al2O3(010) Surface. J. Am. Chem. Soc. 2013, 135, 12634–12645. [DOI] [PubMed] [Google Scholar]
- Kaden W. E.; Wu T.; Kunkel W. A.; Anderson S. L. Electronic Structure Controls Reactivity of Size-Selected Pd Clusters Adsorbed on TiO2 Surfaces. Science 2009, 326, 826–829. [DOI] [PubMed] [Google Scholar]
- Novotny Z.; Argentero G.; Wang Z.; Schmid M.; Diebold U.; Parkinson G. S. Ordered Array of Single Adatoms with Remarkable Thermal Stability: Au/Fe3O4(001). Phys. Rev. Lett. 2012, 108, 216103. [DOI] [PubMed] [Google Scholar]
- Giordano L.; Pacchioni G.; Goniakowski J.; Nilius N.; Rienks E. D. L.; Freund H.-J. Charging of Metal Adatoms on Ultrathin Oxide Films: Au and Pd on FeO/Pt(111). Phys. Rev. Lett. 2008, 101, 026102. [DOI] [PubMed] [Google Scholar]
- Nilius N. Properties of Oxide Thin Films and Their Adsorption Behavior Studied by Scanning Tunneling Microscopy and Conductance Spectroscopy. Surf. Sci. Rep. 2009, 64, 595–659. [Google Scholar]
- Parkinson G. S.; Novotny Z.; Argentero G.; Schmid M.; Pavelec J.; Kosak R.; Blaha P.; Diebold U. Carbon Monoxide-induced Adatom Sintering in a Pd-Fe3O4 Model Catalyst. Nat. Mater. 2013, 12, 724–728. [DOI] [PubMed] [Google Scholar]
- Martinez U.; Jerratsch J.-F.; Nilius N.; Giordano L.; Pacchioni G.; Freund H.-J. Tailoring the Interaction Strength Between Gold Particles and Silica Thin Films via Work Function Control. Phys. Rev. Lett. 2009, 103, 056801. [DOI] [PubMed] [Google Scholar]
- Jerratsch J.-F.; Nilius N.; Topwal D.; Martinez U.; Giordano L.; Pacchioni G.; Freund H.-J. Stabilizing Monomeric Iron Species in a Porous Silica/Mo(112) Film. ACS Nano 2010, 4, 863–868. [DOI] [PubMed] [Google Scholar]
- Ulrich S.; Nilius N.; Freund H.-J.; Martinez U.; Giordano L.; Pacchioni G. Realization of an Atomic Sieve: Silica on Mo(112). Surf. Sci. 2009, 603, 1145–1149. [Google Scholar]
- Weissenrieder J.; Kaya S.; Lu J.-L.; Gao H.-J.; Shaikhutdinov S.; Freund H.-J.; Sierka M.; Todorova T. K.; Sauer J. Atomic Structure of a Thin Silica Film on a Mo(112) Substrate: A Two-Dimensional Network of SiO4 Tetrahedra. Phys. Rev. Lett. 2005, 95, 076103. [DOI] [PubMed] [Google Scholar]
- Ohtomo A.; Hwang H. Y. A High-mobility Electron Gas at the LaAlO3/SrTiO3 Heterointerface. Nature 2004, 427, 423–426. [DOI] [PubMed] [Google Scholar]
- Kan D.; Terashima T.; Kanda R.; Masuno A.; Tanaka K.; Chu S.; Kan H.; Ishizumi A.; Kanemitsu Y.; Shimakawa Y.; et al. Blue-light Emission at Room Temperature from Ar+-irradiated SrTiO3. Nat. Mater. 2005, 4, 816–819. [Google Scholar]
- Ohta H.; Kim S.; Mune Y.; Mizoguchi T.; Nomura K.; Ohta S.; Nomura T.; Nakanishi Y.; Ikuhara Y.; Hirano M.; et al. Giant Thermoelectric Seebeck Coefficient of a Two-dimensional Electron Gas in SrTiO3. Nat. Mater. 2007, 6, 129–134. [DOI] [PubMed] [Google Scholar]
- Kudo A.; Miseki Y. Heterogeneous Photocatalyst Materials for Water Splitting. Chem. Soc. Rev. 2009, 38, 253–278. [DOI] [PubMed] [Google Scholar]
- Santander-Syro A. F.; Copie O.; Kondo T.; Fortuna F.; Pailhs S.; Weht R.; Qiu X. G.; Bertran F.; Nicolaou A.; Taleb-Ibrahimi A.; et al. Two-dimensional Electron Gas with Universal Subbands at the Surface of SrTiO3. Nature 2011, 469, 189–193. [DOI] [PubMed] [Google Scholar]
- Wang Z.; Zhong Z.; Hao X.; Gerhold S.; Stöger B.; Schmid M.; Sánchez-Barriga J.; Varykhalov A.; Franchini C.; Held K.; et al. Anisotropic Two-dimensional Electron Gas at SrTiO3(110). Proc. Natl. Acad. Sci. U.S.A. 2014, 111, 3933–3937. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Kienzle D. M.; Becerra-Toledo A. E.; Marks L. D. Vacant-Site Octahedral Tilings on SrTiO3(001), the (√13×√13)R33.7° Surface, and Related Structures. Phys. Rev. Lett. 2011, 106, 176102. [DOI] [PubMed] [Google Scholar]
- Enterkin J. A.; Subramanian A. K.; Russell B. C.; Castell M. R.; Poeppelmeier K. R.; Marks L. D. A Homologous Series of Structures on the Surface of SrTiO3(110). Nat. Mater. 2010, 9, 245–248. [DOI] [PubMed] [Google Scholar]
- Marks L. D.; Chiaramonti A. N.; Tran F.; Blaha P. The Small Unit Cell Reconstructions of SrTiO3(111). Surf. Sci. 2009, 603, 2179–2187. [Google Scholar]
- Biswas A.; Rossen P. B.; Yang C.-H.; Siemons W.; Jung M.-H.; Yang I. K.; Ramesh R.; Jeong Y. H. Universal Ti-rich Termination of Atomically Flat SrTiO3(001), (110), and (111) Surfaces. Appl. Phys. Lett. 2011, 98, 051904. [Google Scholar]
- Wang Z.; Li F.; Meng S.; Zhang J.; Plummer E. W.; Diebold U.; Guo J. Strain-Induced Defect Superstructure on the SrTiO3(110) Surface. Phys. Rev. Lett. 2013, 111, 056101. [DOI] [PubMed] [Google Scholar]
- Zhang Z.; Feng J.; Wang Z.; Yang F.; Guo Q.; Guo J. Guided Growth of Ag Nanoparticles on SrTiO3(110) Surface. J. Chem. Phys. 2011, 135, 144702. [DOI] [PubMed] [Google Scholar]
- Townsend T. K.; Browning N. D.; Osterloh F. E. Overall Photocatalytic Water Splitting with NiOx-SrTiO3 - A Revised Mechanism. Energy Environ. Sci. 2012, 5, 9543–9550. [Google Scholar]
- Wang Z.; Hao X.; Gerhold S.; Novotny Z.; Franchini C.; McDermott E.; Schulte K.; Schmid M.; Diebold U. Water Adsorption at the Tetrahedra Titania Surface Layer of SrTiO3(110)-(4 × 1). J. Phys. Chem. C 2013, 117, 26060–26069. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Nyholm R.; Andersen J.; Johansson U.; Jensen B.; Lindau I. Beamline I311 at MAX-LAB: a VUV/Soft X-ray Undulator Beamline for High Resolution Electron Spectroscopy. Nucl. Instrum. Methods Phys. Res., Sect. A 2001, 467, 520–524. [Google Scholar]
- Wang Z.; Wu K.; Guo Q.; Guo J. Tuning the Termination of the SrTiO3(110) Surface by Ar+ Sputtering. Appl. Phys. Lett. 2009, 95, 021912. [Google Scholar]
- Kresse G.; Hafner J. Ab initio Molecular Dynamics for Open-Shell Transition Metals. Phys. Rev. B 1993, 48, 13115–13118. [DOI] [PubMed] [Google Scholar]
- Kresse G.; Furthmüller J. Efficiency of ab-initio Total Energy Calculations for Metals and Semiconductors Using a Plane-Wave Basis Set. Comput. Mater. Sci. 1996, 6, 15–50. [DOI] [PubMed] [Google Scholar]
- Blöchl P. E. Projector augmented-wave method. Phys. Rev. B 1994, 50, 17953–17979. [DOI] [PubMed] [Google Scholar]
- Perdew J. P.; Burke K.; Ernzerhof M. Generalized Gradient Approximation Made Simple. Phys. Rev. Lett. 1996, 77, 3865–3868. [DOI] [PubMed] [Google Scholar]
- Tersoff J.; Hamann D. R. Theory and Application for the Scanning Tunneling Microscope. Phys. Rev. Lett. 1983, 50, 1998–2001. [Google Scholar]
- Wang Z.; Yang F.; Zhang Z.; Tang Y.; Feng J.; Wu K.; Guo Q.; Guo J. Evolution of the Surface Structures on SrTiO3(110) Tuned by Ti or Sr Concentration. Phys. Rev. B 2011, 83, 155453. [Google Scholar]
- Li F.; Wang Z.; Meng S.; Sun Y.; Yang J.; Guo Q.; Guo J. Reversible Transition Between Thermodynamically Stable Phases with Low Density of Oxygen Vacancies on the SrTiO3(110) Surface. Phys. Rev. Lett. 2011, 107, 036103. [DOI] [PubMed] [Google Scholar]
- The adsorption energy has been evaluated with respect to the nickel metal in fcc lattice/gas phase and is defined as Eads(Ni) = 1/2[Etot(Ni/slab) – 2ENi – Etot(slab)]. Here Etot(Ni/slab) is the total energy of Ni-slab system in the equilibrium state, Etot(slab) is the total energy of clean slab system, and ENi is the energy of Ni in fcc lattice/gas phase. With this definition, more negative values reflect a stronger interaction of the Ni atom with the SrTiO3 surface.
- Fujimori A.; Bocquet A.; Morikawa K.; Kobayashi K.; Saitoh T.; Tokura Y.; Hase I.; Onoda M. Electronic Structure and Electron-phonon Interaction in Transition Metal Oxides with d0 Configuration and Lightly Doped Compounds. J. Phys. Chem. Solids 1996, 57, 1379–1384. [Google Scholar]
- Ishida Y.; Eguchi R.; Matsunami M.; Horiba K.; Taguchi M.; Chainani A.; Senba Y.; Ohashi H.; Ohta H.; Shin S. Coherent and Incoherent Excitations of Electron-Doped SrTiO3. Phys. Rev. Lett. 2008, 100, 056401. [DOI] [PubMed] [Google Scholar]
- D’Angelo M.; Yukawa R.; Ozawa K.; Yamamoto S.; Hirahara T.; Hasegawa S.; Silly M. G.; Sirotti F.; Matsuda I. Hydrogen-Induced Surface Metallization of SrTiO3. Phys. Rev. Lett. 2012, 108, 116802. [DOI] [PubMed] [Google Scholar]
- Fang H.-C.; Li Z. H.; Fan K.-N. CO Oxidation Catalyzed by a Single Gold Atom: Benchmark Calculations and the Performance of DFT Methods. Phys. Chem. Chem. Phys. 2011, 13, 13358–13369. [DOI] [PubMed] [Google Scholar]
- Tao J.; Pan J.; Huan C.; Zhang Z.; Chai J.; Wang S. Origin of XPS Binding Energy Shifts in Ni Clusters and Atoms on Rutile TiO2 Surfaces. Surf. Sci. 2008, 602, 2769–2773. [Google Scholar]