Surface Science 609 (2013) 67–72 Contents lists available at SciVerse ScienceDirect Surface Science journal homepage: www.elsevier.com/locate/susc The reduction and oxidation of Fe2O3(0001) surface investigated by scanning tunneling microscopy Yuanyuan Tang, Huajun Qin, Kehui Wu, Qinlin Guo, Jiandong Guo ⁎ Beijing National Laboratory for Condensed-Matter Physics & Institute of Physics, Chinese Academy of Sciences, Beijing 100190, PR China a r t i c l e i n f o Article history: Received 15 September 2012 Accepted 14 November 2012 Available online 24 November 2012 Keywords: Oxide surface Scanning tunneling microscopy Iron oxides Surface phases Annealing treatment a b s t r a c t By using scanning tunneling microscopy (STM), we study the structure of the (0001) surface of hematite (α-Fe2O3) pre.pared by ultra-high vacuum treatment. The surface is reduced into a Fe3O4(111) phase by Ar ion sputtering followed by annealing in vacuum, while it is oxidized to a honeycomb superstructure by annealing in O2. High-resolution STM images reveal that the O-terminated FeO(111), Fe- and O-terminated Fe2O3(0001) domains coexist with each other in the superstructure. Unlike the reduction of Fe2O3(0001) whose depth increases with repeated annealing in vacuum, the oxidation of Fe3O4(111) occurs only partially on the top layers by annealing in O2. © 2012 Elsevier B.V. All rights reserved. 1. Introduction Iron oxides have been studied intensively in the forms of single crystals and epitaxial films, not only because of their vital roles in heterogeneous catalysis reactions [1–6], but also for their potential applications in spin electronics and others [7,8]. Hematite (Fe2O3) has been applied in chemical engineering, such as degradation of chlorinated compounds, styrene synthesis, and many other important industrial processes [9,10]. Studies of the reaction mechanisms at atomic scale [11,12] show that the catalytic reactivity is related to Fe cations and nearby vacancies on the polar surface. Magnetite (Fe3O4) has been considered as a half-metal ferromagnet theoretically [13,14]. Experimental results also show that the polarization at Fermi level (EF) is sensitive to the surface stoichiometry [15,16]. Since the chemical and physical properties are crucially affected by the microstructures of iron oxide surfaces, to understand the corresponding reconstruction, atomic termination, defects, as well as lattice relaxation is indispensable to obtain controllable functionalities of the material. However, the variable valence states of iron cation cause a rather complicated phase diagram of iron oxides with several easily interchangeable phases [1,17,18]. Especially on the surfaces obtained with ultra-high vacuum (UHV) treatment, even subtle variance of the preparation parameter results in distinct stoichiometry and different microscopic structures. Stoichiometric α-Fe2O3(0001) surfaces can be formed by oxidizing Fe3O4(111) or FeO(111) films epitaxially grown on metal substrates [19–22], exposing either Fe or O atomic layer according to ⁎ Corresponding author. Tel.: +86 10 82648131. E-mail address: [email protected] (J. Guo). 0039-6028/$ – see front matter © 2012 Elsevier B.V. All rights reserved. http://dx.doi.org/10.1016/j.susc.2012.11.005 the initial surface termination (see Fig. 1). The charge transfer between the film and substrate plays an important role in the stabilization of the polar surface [23]. Besides, the existence of ferryl (Fe=O) groups have also been reported to stabilize the surface of hematite thin films [24,25]. A well-defined stoichiometric surface is hard to obtain on single-crystalline α-Fe2O3 in UHV. Instead, a non-stoichiometric “biphase” surface is commonly observed on α-Fe2O3(0001) prepared by annealing in oxygen [26]. It consists of islands of Fe2O3 and Fe1−xO arranged in a superstructure with the periodicity of ~40 Å due to the mismatch of the oxygen layers of Fe2O3(0001) and Fe1−xO(111). The UHV treatment also results in the non-stoichiometric surface on Fe3O4(111) with Fe3O4(111) and Fe1−xO coexisting with each other [27]. But a stoichiometric surface on single-crystalline Fe3O4(111) can be recovered by annealing the sample in 10 − 6 mbar O2 [27–33]. In addition to the deviation of stoichiometry and valance from the bulk crystals, relaxation may also occur on the surface of iron oxides. By ab initio calculations and scanning tunneling microscopy (STM) observations, Wang et al. found 57% and 79% inward relaxation on the top layers of Fe and O terminations on α-Fe2O3(0001), respectively [20]. Low energy electron diffraction (LEED) studies revealed that the relaxation effect even involved several atomic layers beneath the surface [34–36]. In brief, the correlation between the stability of different phases and the preparation conditions needs to be clarified in regard to the complicated iron oxide surface. In this paper, we use STM to study the structural transformations on the α-Fe2O3(0001) surface controlled by Ar ion sputtering followed by annealing. Both the surface chemical composition and the reconstruction are sensitive to the oxygen ambience during annealing. The UHV annealing leads to the formation of Fe3O4(111) layers. And repeated treatment cycles result in the reduction of Fe2O3 penetrating deep into the bulk. By 68 Y. Tang et al. / Surface Science 609 (2013) 67–72 a b c Fig. 1. Structural models of (a) α-Fe2O3(0001), (b) Fe3O4(111) and (c) FeO(111). The left panel shows the side views and the right panel shows the top views. The unit cells of the Fe- and O-terminated surfaces are labeled by the dark gray (red) and light gray (yellow) rhombuses, respectively. Note that there are two types of Fe termination on Fe2O3(0001) or Fe3O4(111) surface — the Feoct1 (Feoct2) termination shows a hexagonal network, while the Feoct2 (Fetet1) termination shows a honeycomb network on Fe2O3(0001) [Fe3O4(111)], respectively, although the unit cells of the surface lattices are identical. annealing the sample in O2 (1 × 10 −6 mbar), three types of domains are formed and arranged in a honeycomb-like superstructure on the surface. Detailed observation shows that these domains correspond to different atomic layers in different phases of iron oxides, indicating the oxidation of the surface. Furthermore the oxidation occurs only partially on the surface, while the buried Fe3O4(111) layers cannot be fully oxidized to Fe2O3(0001) by repeated annealing in O2. Experiments were performed in an UHV STM system (Omicron) with the base pressure of low 1 × 10−10 mbar. A naturally occurring hematite (α-Fe2O3) was cut into a 1.5-mm-thick wafer with its (0001) surface polished. The sample was mounted on a molybdenum plate and loaded into the UHV chamber. Then the sample was sputtered by Ar ion with the beam energy of 0.5 keV for 10 min followed by annealing. Direct current was applied to a tungsten wire to resistively heat the sample, whose temperature was monitored by an infrared pyrometer. The annealing was in UHV or O2 ambience at temperatures between 600–850 °C, as specified in the following for each case. All the STM measurements were carried out at room temperature in the constant-current mode. The ex situ X-ray diffraction (XRD) was measured by Rigaku UltimalV diffractometer with Cu Kα radiation (1.54 Å). 2. Results and discussion 2.1. Structures of iron oxides and their surfaces Due to the similar stability of different iron oxides, UHV treatment normally forms mixed phases on the α-Fe2O3(0001) surface. Domains related to Fe3O4(111) and FeO(111) also exist since they show similar anion frameworks on the close-packed oxygen layers, as illustrated in Fig. 1. The Fe2O3 single crystal exhibits the corundum structure. Along [0001], oxygen anions form an hcp sublattice with slightly distorted hexagonal planes stacked in ABAB sequence with interspacing of 2.29 Å. Iron cations occupy the centers of the distorted octahedra formed by O anions. So the Fe2O3 lattice can be viewed as an alternative stack of one O layer and two Fe layers along [0001] [Fig. 1(a)]. There are three possible types of bulk truncated surface on Fe2O3(0001). The O layer shows a hexagonal lattice with the periodicity of 2.91 Å. Both the Feoct1 and Feoct2 layers have the same periodicity of 5.03 Å, while the Feoct2-terminated surface exposes the single Fe layer in a hexagonal lattice on the O layer and the Feoct1-terminated surface exposes the double Fe layers forming a honeycomb lattice. Taking an O layer as the basal plane, the height is 0.85 Å for Feoct2 and 1.45 Å for Feoct1 [37]. The Fe3O4 single crystal has the inverse spinel structure. Oxygen anions form a close-packed fcc sublattice with slightly distorted hexagonal planes stacked in ABCABC sequence along [111]. The tetrahedrally coordinated sites formed by oxygen ions are occupied by Fe 3+ cations. Other Fe cations occupy the octahedrally coordinated interstices, among which a half exhibits + 3 valance state while the other half exhibits + 2. This lattice can be described as a stack of O1-Feoct1-O2-Fetet2-Feoct2-Fetet1-O1 layers along [111] where the subscripts “tet” and “oct” refer to the tetrahedrally and octahedrally coordinated sites, respectively [Fig. 1(b)]. The O-terminated surface shows a hexagonal lattice with the periodicity of 2.97 Å [37]. The situation of Fe termination is rather complicated. Ideally there could have been several types of Fe layer exposing on Fe3O4(111) surface. But theoretical calculations [13,38,39] have suggested only two possible energetically favored types, i.e., Feoct2 and Fetet1. The Fetet1-terminated surface exposes the single Fe layer in a hexagonal lattice on the O layer, while the Feoct2-terminated surface exposes the double Fe layers forming a honeycomb lattice. Both of the favored Fe terminations have the same surface unit cell with periodicity of 5.92 Å. The structure of FeO single crystal is relatively simple, showing the NaCl lattice. Along the [111] direction FeO is stacked with hexagonal Fe and O layers alternatively in ABCABC sequence, respectively, with the interspacing of 1.25 Å [Fig. 1(c)]. Both of the two possible terminations, i.e., the Fe and O layers show hexagonal lattices with the same periodicity of 3.04 Å [37]. Y. Tang et al. / Surface Science 609 (2013) 67–72 In brief, the lattice constants of the bulk-truncated hexagonal Fe2O3(0001), Fe3O4(111) and FeO(111) surfaces are 5.03 Å, 5.92 Å and 3.04 Å on the Fe terminations, and 2.91 Å, 2.97 Å and 3.04 Å on the O terminations, respectively [37]. As discussed in the following, we observe the periodicities of ~ 5 Å and ~ 6 Å in STM images on the sample surface, which are the characteristics of the Fe2O3(0001) and Fe3O4(111) surfaces terminated by the single Fe layers, respectively. Therefore the domains formed by these two layers can be distinctly identified. The periodicity of ~3 Å is also observed in some areas, possibly related to the O-terminated Fe2O3(0001) or Fe3O4(111), or even FeO(111) with either Fe or O termination. To distinguish them, we notice that the unit cell of Fe termination layer rotates by 30° with respect to that of the O termination on Fe2O3(0001) surface, while the orientations are aligned with each other on Fe3O4(111) and FeO(111). This fact has been used as the main evidence to distinguish the Fe2O3 phase by LEED and STM observations [26]. Further evidence for the identification of the type of surface termination layer can be obtained by analyzing the height of step between different domains. 2.2. The surface in “regular” phase Treated with Ar ion sputtering followed by annealing at ~ 700 °C for 30 min in UHV, the α-Fe2O3(0001) surface shows a hexagonal structure with the periodicity of 6.0 ± 0.5 Å, as shown in Fig. 2. It is the characteristic of the Fe-terminated Fe3O4(111)-(1 × 1) lattice and has been commonly observed on the surface of single crystalline Fe3O4(111) [7,29–33,40–43]. In the following, we refer to this surface a 69 as the “regular” (R) phase. The minimal step height on the surface is measured as ~ 4.8 Å in our STM image [44], consistent with the interspacing of two adjacent equivalent layers in Fe3O4(111). Further evidence is provided by the XRD analysis [Fig. 2(c)]. Compared with the original Fe2O3(0001), the sample shows additional diffraction peaks corresponding to Fe3O4(111) {h,h,h} planes after repeated sputtering and annealing in UHV. Due to the preferential sputtering of oxygen, Fe2O3(0001) is reduced. And with the sputtering dose increasing, the reduction penetrates deep into the bulk, forming a relatively thick layer of Fe3O4(111) that can be detected by XRD. Among the two possible types of Fe termination layers on Fe3O4(111) [13,38,39], i.e., Feoct2 and Fetet1 (see Fig. 1 and the corresponding text), the Feoct2 termination typically shows honeycomb structure in unoccupied-state STM images [32] that is different from our observations. Additionally, the Feoct2 termination is usually obtained on the Fe3O4(111) surface in an oxygen-poor condition [6,32]. In the current case, due to the presence of the underneath bulk Fe2O3, the oxygen-poor condition is difficult to achieve on the surface since oxygen may move towards the surface at high temperature during annealing. Therefore the R surface is attributed to the Fe3O4(111) surface terminated by the single layer of Fetet1. 2.3. The surface in “honeycomb” phase By further annealing the sample with R-phase surface in O2 ambience (1×10−6 mbar) and subsequently cooling it to room temperature in the same oxygen ambience, terraces with different long-range ordering b c Fig. 2. (a) STM image (45 nm × 45 nm, −2 V/20 pA) of the R surface. The minimum step height is measured as 4.8 Å along the line. (b) High-resolution STM image (12 nm × 12 nm, −1.5 V/20 pA) of the R surface. (c) XRD of the initial α-Fe2O3(0001) sample and after repeated sputtering and annealing in UHV. 70 Y. Tang et al. / Surface Science 609 (2013) 67–72 are formed on the surface, as labeled as H in Fig. 3(a). The honeycomb superstructure on H terrace (referred to as “H” phase) has the periodicity of 40 ± 3 Å. Each honeycomb shows a patch at the center (the γ domain) surrounded by six small patches, which are actually two types of domains adjacent to each other [labeled as α and β in Fig. 3(b), respectively]. The α domain is ~ 0.8 Å higher than β, while β and γ are almost at the same height, as shown in the unoccupied-state STM image Fig. 3(c). Small irregular protrusions in γ domains are visible by STM. As compared with the high-resolution images presented in the following, the origin of these protrusions are purely electronic. Honeycomb superstructure has been observed on Fe3O4(111) surface prepared by UHV annealing [27,30]. The “S3” phase reported by Paul et al. [30] coexisted with R phase. But the step height between R and S3 was ~ 1.5 Å, different from our measurement that shows a step of 1.8 Å between α on the H terrace and R2 on R (or a step of 3.0 Å between α and R1) as compared with the step of 4.8 Å within R phase (R1 and R2) [44]. Additionally, the periodicity of the honeycomb “S3” phase was typically around 50 Å [27,30], also inconsistent with our observation on the H superstructure (40 Å). Actually in the current work, due to the oxidation environments provided during annealing, the Fe3O4(111) surface is oxidized and the observed H superstructure can be attributed to the “biphase” that was obtained on Fe2O3(0001) [26]. As shown in Fig. 4(a), α and β domains are arranged alternatively on the corners of the honeycomb (the γ domain) [45]. Both α and β domains show hexagonal features, with the periodicities of 5.0 Å and 3.0 Å, respectively. And the orientation of the β-type sublattice rotates by 30° with respect to the α-type. All these a STM observations are in good agreement with the previously reported “biphase” [26] where Fe2O3(0001) and FeO(111) domains coexist on the surface. Moreover, with the high-resolution STM images of both unoccupiedand occupied-states, we can identify the atomic layer in the γ-type sublattice. Fig. 4(a) shows a honeycomb structure with periodicity of 5.0 Å in γ, characteristic of the Fe2O3(0001) surface where the Feoct1 and Feoct2 layers are visible (see Fig. 1). On the other hand, in the occupied-state image that is mainly contributed from O 2p states, a hexagonal structure with periodicity of 3.0 Å is observed. And the unit cell orientation rotates by 30° from that in the unoccupied-state image, consistent with the lattice of O layer on Fe2O3(0001) surface. Since previous calculations [20,46,47] suggested that the double-layer Fe termination on Fe2O3(0001) is strongly disfavored under oxidizing conditions, we concluded that the γ domain corresponds to the O-terminated Fe2O3(0001) surface. Different from the γ domain, the α domain shows no atomic resolution in the occupied-state image that represents the density of states (DOS) of O sites on the Fe2O3(0001) surface [Fig. 4(b)]. This suggests that the charges on O sites are screened by a surface layer, i.e., they correspond to the terminations other than O layer. Considering the characteristic periodicity and unit cell orientation observed in the unoccupied-state image [Fig. 4(a)], we attribute the α domain to Fe2O3(0001) terminated by Feoct2. Although the β domain shows no atomic resolution in the occupied-state image as well, it cannot be identified as the Fe termination since the image contrast is also contributed from the partially filled Fe 3d states, in combination with that from O 2p. Considering the α and β sublattices share the b c Fig. 3. (a) STM image (30 nm × 30 nm, −2.5 V/10 pA) of the surface with R and H coexisting with each other. (b) STM image (17 nm × 17 nm, 3 V/50 pA) of the H terrace. The unit cell of the honeycomb superstructure is marked by the rhombus with the α, β and γ domains labeled. (c) The line profile along AB in (b). Y. Tang et al. / Surface Science 609 (2013) 67–72 Fig. 4. (a) The unoccupied- (+3 V/30 pA) and (b) occupied-state (−2 V/30 pA) STM images (17 nm × 7 nm) of the H phase. same O layer as the basal plane, their height difference (0.8 Å) suggests that the β domain corresponds to the FeO(111) surface terminated by O. Strictly speaking, the H superstructure is a “triphase” lattice consisting of O-terminated FeO(111), Fe- and O-terminated Fe2O3(0001) sublattices. Fig. 5 illustrates the structural model of the H phase surface with the top three O layers included. Since the surface is prepared by oxidizing Fe3O4(111), we consider the O layers as in Fe2O3(0001) configuration and allow only the top one to be relaxed laterally [48]. The superstructure with the periodicity of 40 Å can be obtained only by expanding the top layer lattice by 7.6% (the O–O distance is 3.13 Å in the top layer compared with 2.91 Å in the two bottom layers). This results in three types of regions with different stacking sequence of the O layers. The first type is in ABA sequence, corresponding to that in Fe2O3(0001) lattice. A single layer of Fe sits atop the topmost O in Feoct2 configuration with 7.6% lateral expansion, forming the α β: ABC α: ABA 71 domain. The second type is in ABC sequence, with the topmost O layer expanded by ~ 3% in relative to the bulk truncated FeO(111) lattice. Such that the β domain is formed. The third type is in the ABB sequence, inducing the instability in the region. To response, the periodicity of the topmost O layer shrinks to ~ 3 Å as we observe in the STM image within the γ domain. Occasionally the γ area appears lower than it normally is by ~ 2.0 Å (not shown). Such a height corresponds to the interspacing of adjacent O layers in Fe2O3(0001) lattice, suggesting that the top O and Fe layers are missing. This is also a possible channel to reduce the instability on γ surface. It was reported that on the reconstructed FeO and Al2O3 surfaces [49–51], the topmost layer could rotate and result in the superstructures. In fact, another consequence of the top layer rotation is the orientation shift between the oxygen sublattice in each domain and that of the superstructure. This is not observed in our current work, suggesting that the lattice expansion on the top layer is responsible for the polar compensation on the Fe2O3(0001) surface. For verification, further ab initio calculations would be important. Annealing the sample in O2 repeatedly, the monophased H superstructure is formed on the surface of the Fe3O4(111) layers. However, the H phase is not a fully-oxidized phase since Fe 2+ ions exist in the β sublattice. And the XRD of the sample with H surface always shows the diffractions from Fe3O4(111) no matter how much it is annealed in oxygen. As proposed by Kim et al. [52], once a Fe2O3 layer is formed on the sample surface it may act as a barrier that prevents the oxygen from penetrating into the underneath lattice. Within the O2 pressure range in the current work (less than 1 × 10 −6 mbar), the iron oxide can never be fully oxidized back to Fe2O3. 3. Conclusions In summary, we study the surface structure of α -Fe2O3(0001) prepared by Ar ion sputtering followed by annealing in UHV or in O2 ambience with the partial pressure of 1 ×10−6 mbar. The UHV annealing results in the reduction of the surface, forming a layer of Fe3O4 (111). And the surface can be partially oxidized by annealing in O2. The Fe-terminated FeO(111), Fe- and O-terminated Fe2O3(0001) sublattices coexist with each other and are arranged in a honeycomb superstructure with the periodicity of ~40 Å. Unlike the reduction of Fe2O3(0001) that can penetrate deep into the bulk upon repeated UHV annealing, the oxidation of the Fe3O4(111) occurs only partially on the top layer(s). It is revealed that the surface structure of iron oxide is not only sensitive to the O2 pressure during annealing, but also determined by the treatment history. The Fe2O3(0001) surface can always be reduced but the formed Fe3O4(111) layers cannot be easily oxidized back to Fe2O3 reversibly. Acknowledgments The authors thank Dr. Xiaoguang Meng of Stevens Institute of Technology for providing the Fe2O3 sample, and Dr. Xuetao Zhu for helpful discussions. This work was supported by the “973” Program of China (2012CB921700), NSFC Project 11027406 and Specific Funding of the Discipline and Graduate Education Project of Beijing Municipal Commission of Education. γ :ABB 1st layer (topmost) 2nd layer 3rd layer Fig. 5. Illustration of the H superstructure with the top three close-packed oxygen layers included. Stacked in AB sequence, the second and third layers have the periodicity of 2.91 Å, while the topmost (first) layer is expanded by ~7.6% (3.13 Å). The resulting three types of stacking sequence in different areas are shown in the inset. References [1] W. Weiss, W. Ranke, Prog. Surf. Sci. 70 (2002) 1. [2] K. Adib, D.R. Mullins, G. Totir, N. Camillone III, J.P. Fitts, K.T. Rim, G.W. Flynn, R.M. Osgood Jr., Surf. Sci. 524 (2003) 113. [3] R.S. Cutting, C.A. Muryn, D.J. Vaughan, G. Thornton, Surf. Sci. 602 (2008) 1155. [4] F. Ringleb, Y. Fujimori, H. Wang, H. Ariga, E. Carrasco, M. Sterrer, H.J. Freund, L. Giordano, G. Pacchioni, J. Goniakowski, F. Ringleb, J. Phys. Chem. C 115 (2011) 19328. [5] X. Ma, L. Liu, J. Jin, P.C. Stair, D.E. Ellis, Surf. Sci. 600 (2006) 2874. [6] M.E. Grillo, M.W. Finnis, W. Ranke, Phys. Rev. B 77 (2008) 075407. 72 Y. Tang et al. / Surface Science 609 (2013) 67–72 [7] N. Berdunov, S. Murphy, G. Mariotto, I.V. Shvets, Y.M. Mykovskiy, J. Appl. Phys. 95 (2004) 6891. [8] N. Berdunov, S. Murphy, G. Mariotto, I.V. Shvets, Phys. Rev. Lett. 93 (2004) 057201. [9] Y. Jiang, S. Decker, C. Mohs, K.J. Klabunde, J. Catal. 180 (1998) 24. [10] K.T. Rim, J.P. Fitts, T. Müller, K. Adib, N. Camillone III, R.M. Osgood, S.A. Joyce, G.W. Flynn, Surf. Sci. 541 (1994) 59. [11] W. Weiss, D. Zscherpel, R. Schlögl, Catal. Lett. 52 (1998) 215. [12] C. Kuhrs, Y. Arita, W. Weiss, W. Ranke, R. Schlögl, Top. Catal. 14 (2001) 111. [13] N. Berdunov, S. Murphy, G. Mariotto, I.V. Shvets, Phys. Rev. B 70 (2004) 085404. [14] Z. Zhang, S. Satpathy, Phys. Rev. B 44 (1991) 13319. [15] H.J. Kim, J.H. Park, E. Vescovo, Phys. Rev. B 61 (2000) 15288. [16] H.J. Kim, J.H. Park, E. Vescovo, Phys. Rev. B 61 (2000) 15284. [17] G. Ketteler, W. Weiss, W. Ranke, R. Schlögl, Phys. Chem. Chem. Phys. 3 (2001) 1114. [18] M. Xue, S. Wang, K. Wu, J. Guo, Q. Guo, Langmuir 27 (2011) 11. [19] W. Weiss, M. Ritter, Phys. Rev. B 59 (1999) 5201. [20] X.G. Wang, W. Weiss, Sh.K. Shaikhutdinov, M. Ritter, M. Petersen, F. Wagner, R. Schlögl, M. Scheffler, Phys. Rev. Lett. 81 (1998) 1038. [21] Sh.K. Shaikhutdinov, W. Weiss, Surf. Sci. 432 (1999) L627. [22] A. Barbier, R. Belkhou, P. Ohresser, M. Gautier-Soyer, O. Bezencenet, M. Mulazzi, M.J. Guittet, J.B. Moussy, Phys. Rev. B 72 (2005) 245423. [23] J. Goniakowski, F. Finocchi, C. Noguera, Rep. Prog. Phys. 71 (2008) 016501. [24] C. Lemire, S. Bertarione, A. Zecchina, D. Scarano, A. Chaka, S. Shaikhutdinov, H.J. Freund, Phys. Rev. Lett. 94 (2005) 166101. [25] Emily A. Jarvis, Anne M. Chaka, Surf. Sci. 601 (2007) 1909. [26] N.G. Condon, Phys. Rev. Lett. 75 (1995) 1961. [27] N.G. Condon, F.M. Leibsle, T. Parker, Phys. Rev. B 55 (1997) 15885. [28] I.V. Shvets, N. Berdunov, G. Mariotto, S. Murphy, Europhys. Lett. 63 (2003) 867. [29] G. Ketteler, W. Ranke, Phys. Rev. B 66 (2002) 033405. [30] M. Paul, M. Sing, R. Claessen, Phys. Rev. B 76 (2007) 075412. [31] A.R. Lennie, N.G. Condon, F.M. Leibsle, P.W. Murray, G. Thornton, D.J. Vaughan, Phys. Rev. B 53 (1996) 10244. [32] T.K. Shimizu, J. Jung, H.S. Kato, Y. Kim, M. Kawai, Phys. Rev. B 81 (2010) 235429. [33] N. Berdunov, G. Mariotto, K. Balakrishnan, S. Murphy, I.V. Shvets, Surf. Sci. 600 (2006) L287. [34] M. Lüubbe, W. Moritz, J. Phys. Condens. Matter 21 (2009) 134010. [35] M. Ritter, W. Weiss, Surf. Sci. 432 (1999) 81. [36] W. Weiss, W. Ranke, Surf. Rev. Lett. 8 (2001) 661. [37] R. Cornell, U. Schwertmann, The Iron Oxides, Verlagsgesellschaft mbH, Cambridge, 1996. [38] A. Yanase, N. Hamada, J. Phys. Soc. Jpn. 68 (1999) 1607. [39] J. Ahdjoudj, C. Martinsky, C. Minot, M.A.V. Hove, G.A. Somorjai, Surf. Sci. 443 (1999) 133. [40] C.H. Lanier, A.N. Chiaramonti, L.D. Marks, K.R. Poeppelmeier, Surf. Sci. 603 (2009) 2574. [41] N.G. Condon, P.W. Murray, F.M. Leibsle, G. Thornton, A.R. Lennie, D.J. Vaughan, Surf. Sci. Lett. 310 (1994) L609. [42] N.G. Condon, F.M. Leibsle, A.R. Lennie, P.W. Murray, T.M. Parker, D.J. Vaughan, G. Thornton, Surf. Sci. 397 (1998) 278. [43] R.A. Fellows, A.R. Lennie, H. Raza, C.L. Pang, G. Thornton, D.J. Vaughan, Surf. Sci. 445 (2000) 11. [44] In the STM images, the surface step height is not dependent on the tunneling parameters except the bias polarity. We relate the height measured by STM to the interspacing of difference lattice planes since basically the occupied- and unoccupied-state images correspond to O and Fe layers, respectively. [45] The characteristics of the three types of domains were identified and distinguished in an STM image in which the bias voltage was reversed during scanning. Here only the high-resolution occupied- and unoccupied-state images obtained on a single terrace but not exactly the same point of the surface are shown. [46] A. Rohrbach, J. Hafner, G. Kresse, Phys. Rev. B 70 (2004) 125426. [47] W. Bergermayer, H. Schweiger, E. Wimmer, Phys. Rev. B 69 (2004) 195409. [48] By fixing the top layer and allowing the layers beneath to be relaxed, we obtain similar superstructure as discussed below. However, the periodicity of the Feoct2 termination in the α domain would have responded to the change, which is not observed experimentally. [49] W. Ranke, M. Ritter, W. Weiss, Phys. Rev. B 60 (1999) 1527. [50] M. Ritter, W. Ranke, W. Weiss, Phys. Rev. B 57 (1998) 7240. [51] J.V. Lauritsen, M.C.R. Jensen, K. Venkataramani, B. Hinnemann, S. Helveg, B.S. Clausen, F. Besenbacher, Phys. Rev. Lett. 103 (2009) 076103. [52] C.Y. Kim, A.A. Escuadro, M.J. Bedzyk, L. Liu, P.C. Stair, Surf. Sci. 572 (2004) 239.
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