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Lee H, Lee HBR, Kwon S, Salmeron M, Park JY. Internal and external atomic steps in graphite exhibit dramatically different physical and chemical properties. ACS NANO 2015; 9:3814-3819. [PMID: 25817095 DOI: 10.1021/nn506755p] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
We report on the physical and chemical properties of atomic steps on the surface of highly oriented pyrolytic graphite (HOPG) investigated using atomic force microscopy. Two types of step edges are identified: internal (formed during crystal growth) and external (formed by mechanical cleavage of bulk HOPG). The external steps exhibit higher friction than the internal steps due to the broken bonds of the exposed edge C atoms, while carbon atoms in the internal steps are not exposed. The reactivity of the atomic steps is manifested in a variety of ways, including the preferential attachment of Pt nanoparticles deposited on HOPG when using atomic layer deposition and KOH clusters formed during drop casting from aqueous solutions. These phenomena imply that only external atomic steps can be used for selective electrodeposition for nanoscale electronic devices.
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Zhang Y, Pluchery O, Caillard L, Lamic-Humblot AF, Casale S, Chabal YJ, Salmeron M. Sensing the charge state of single gold nanoparticles via work function measurements. NANO LETTERS 2015; 15:51-5. [PMID: 25485557 DOI: 10.1021/nl503782s] [Citation(s) in RCA: 78] [Impact Index Per Article: 8.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/13/2023]
Abstract
Electrostatic interactions at the nanoscale can lead to novel properties and functionalities that bulk materials and devices do not have. Here we used Kelvin probe force microscopy (KPFM) to study the work function (WF) of gold nanoparticles (NPs) deposited on a Si wafer covered by a monolayer of alkyl chains, which provide a tunnel junction. We find that the WF of Au NPs is size-dependent and deviates strongly from that of the bulk Au. We attribute the WF change to the charging of the NPs, which is a consequence of the difference in WF between Au and the substrate. For an NP with 10 nm diameter charged with ∼ 5 electrons, the WF is found to be only ∼ 3.6 eV. A classical electrostatic model is derived that explains the observations in a quantitative way. We also demonstrate that the WF and charge state of Au NPs are influenced by chemical changes of the underlying substrate. Therefore, Au NPs could be used for chemical and biological sensing, whose environmentally sensitive charge state can be read out by work function measurements.
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Lee H, Qi Y, Kwon S, Salmeron M, Young Park J. Large changes of graphene conductance as a function of lattice orientation between stacked layers. NANOTECHNOLOGY 2015; 26:015702. [PMID: 25484106 DOI: 10.1088/0957-4484/26/1/015702] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Using the conductive tip of an atomic force microscope as an electrode, we found that the electrical conductance of graphite terraces separated by steps can vary by large factors of up to 100, depending on the relative lattice orientation of the surface and subsurface layers. This effect can be attributed to interlayer interactions that, when stacked commensurately in a Bernal sequence (ABAB...), cause the band gap to open. Misaligned layers, on the other hand, behave like graphene. Angular misorientations of a few degrees were found to cause large increases in the conductance of the top layer, with the maximum occurring around 30°. These results suggest new applications for graphene multilayers by stacking layers at various angles to control the resistance of the connected graphene ribbons in devices.
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Velasco-Velez JJ, Wu CH, Pascal TA, Wan LF, Guo J, Prendergast D, Salmeron M. The structure of interfacial water on gold electrodes studied by x-ray absorption spectroscopy. Science 2014; 346:831-4. [DOI: 10.1126/science.1259437] [Citation(s) in RCA: 297] [Impact Index Per Article: 29.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
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55
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Martínez-Prieto LM, Carenco S, Wu CH, Bonnefille E, Axnanda S, Liu Z, Fazzini PF, Philippot K, Salmeron M, Chaudret B. Organometallic Ruthenium Nanoparticles as Model Catalysts for CO Hydrogenation: A Nuclear Magnetic Resonance and Ambient-Pressure X-ray Photoelectron Spectroscopy Study. ACS Catal 2014. [DOI: 10.1021/cs5010536] [Citation(s) in RCA: 39] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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56
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Zhu Z, Barroo C, Lichtenstein L, Eren B, Wu CH, Mao B, Visart de Bocarmé T, Liu Z, Kruse N, Salmeron M, Somorjai GA. Influence of Step Geometry on the Reconstruction of Stepped Platinum Surfaces under Coadsorption of Ethylene and CO. J Phys Chem Lett 2014; 5:2626-2631. [PMID: 26277954 DOI: 10.1021/jz501341r] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
We demonstrate the critical role of the specific atomic arrangement at step sites in the restructuring processes of low-coordinated surface atoms at high adsorbate coverage. By using high-pressure scanning tunneling microscopy (HP-STM) and ambient-pressure X-ray photoelectron spectroscopy (AP-XPS), we have investigated the reconstruction of Pt(332) (with (111)-oriented triangular steps) and Pt(557) surfaces (with (100)-oriented square steps) in the mixture of CO and C2H4 in the Torr pressure range at room temperature. CO creates Pt clusters at the step edges on both surfaces, although the clusters have different shapes and densities. A subsequent exposure to a similar partial pressure of C2H4 partially reverts the clusters on Pt(332). In contrast, the cluster structure is barely changed on Pt(557). These different reconstruction phenomena are attributed to the fact that the 3-fold (111)-step sites on Pt(332) allows for adsorption of ethylidyne-a strong adsorbate formed from ethylene-that does not form on the 4-fold (100)-step sites on Pt(557).
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Xin HL, Alayoglu S, Tao R, Genc A, Wang CM, Kovarik L, Stach EA, Wang LW, Salmeron M, Somorjai GA, Zheng H. Revealing the atomic restructuring of Pt-Co nanoparticles. NANO LETTERS 2014; 14:3203-3207. [PMID: 24762053 DOI: 10.1021/nl500553a] [Citation(s) in RCA: 66] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
We studied Pt-Co bimetallic nanoparticles during oxidation in O2 and reduction in H2 atmospheres using an aberration corrected environmental transmission electron microscope. During oxidation Co migrates to the nanoparticle surface forming a strained epitaxial CoO film. It subsequently forms islands via strain relaxation. The atomic restructuring is captured as a function of time. During reduction cobalt migrates back to the bulk, leaving a monolayer of platinum on the surface.
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Zherebetskyy D, Scheele M, Zhang Y, Bronstein N, Thompson C, Britt D, Salmeron M, Alivisatos P, Wang LW. Hydroxylation of the surface of PbS nanocrystals passivated with oleic acid. Science 2014; 344:1380-4. [DOI: 10.1126/science.1252727] [Citation(s) in RCA: 342] [Impact Index Per Article: 34.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
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59
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Pascal TA, Wujcik KH, Velasco-Velez J, Wu C, Teran AA, Kapilashrami M, Cabana J, Guo J, Salmeron M, Balsara N, Prendergast D. X-ray Absorption Spectra of Dissolved Polysulfides in Lithium-Sulfur Batteries from First-Principles. J Phys Chem Lett 2014; 5:1547-51. [PMID: 26270094 DOI: 10.1021/jz500260s] [Citation(s) in RCA: 36] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/17/2023]
Abstract
The X-ray absorption spectra (XAS) of lithium polysulfides (Li2Sx) of various chain lengths (x) dissolved in a model solvent are obtained from first-principles calculations. The spectra exhibit two main absorption features near the sulfur K-edge, which are unambiguously interpreted as a pre-edge near 2471 eV due to the terminal sulfur atoms at either end of the linear polysulfide dianions and a main-edge near 2473 eV due to the (x - 2) internal atoms in the chain, except in the case of Li2S2, which only has a low-energy feature. We find an almost linear dependence between the ratio of the peaks and chain length, although the linear dependence is modified by the delocalized, molecular nature of the core-excited states that can span up to six neighboring sulfur atoms. Thus, our results indicate that the ratio of the peak area, and not the peak intensities, should be used when attempting to differentiate the polysulfides from XAS.
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60
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Maier S, Stass I, Cerdá JI, Salmeron M. Unveiling the mechanism of water partial dissociation on Ru(0001). PHYSICAL REVIEW LETTERS 2014; 112:126101. [PMID: 24724661 DOI: 10.1103/physrevlett.112.126101] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/03/2013] [Indexed: 06/03/2023]
Abstract
We have studied the mechanism of the partial dissociation of water on Ru(0001) by high resolution scanning tunneling microscopy (STM). The thermal evolution of water at submonolayer coverage has been tracked in the 110-145 K temperature range to identify the precursor structures for the partial dissociation. These were found to consist of hexagons arranged in thin stripes aligned along the close packed Ru [21¯1¯0] directions. The partially dissociated phase, on the other hand, contains a mixture of H2O and OH hexagons arranged into wider stripes and rotated by 30° with respect to the intact water stripes. The atomic structure of both types of stripes is determined with the aid of density functional theory and STM simulations, providing insights into the partial dissociation reaction path. The reaction is found to be exothermic by around 0.4 eV and initiating at the edges of the intact water stripes. Hydrogen atoms, from water dissociation or already present at the surface, are found to play an important role in the kinetics of the reactions.
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Neppl S, Shavorskiy A, Zegkinoglou I, Fraund M, Slaughter DS, Troy T, Ziemkiewicz MP, Ahmed M, Gul S, Rude B, Zhang JZ, Tremsin AS, Glans PA, Liu YS, Wu CH, Guo J, Salmeron M, Bluhm H, Gessner O. Capturing interfacial photoelectrochemical dynamics with picosecond time-resolved X-ray photoelectron spectroscopy. Faraday Discuss 2014; 171:219-41. [DOI: 10.1039/c4fd00036f] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023]
Abstract
Time-resolved core-level spectroscopy using laser pulses to initiate and short X-ray pulses to trace photoinduced processes has the unique potential to provide electronic state- and atomic site-specific insight into fundamental electron dynamics in complex systems. Time-domain studies using transient X-ray absorption and emission techniques have proven extremely valuable to investigate electronic and structural dynamics in isolated and solvated molecules. Here, we describe the implementation of a picosecond time-resolved X-ray photoelectron spectroscopy (TRXPS) technique at the Advanced Light Source (ALS) and its application to monitor photoinduced electron dynamics at the technologically pertinent interface formed by N3 dye molecules anchored to nanoporous ZnO. Indications for a dynamical chemical shift of the Ru3d photoemission line originating from the N3 metal centre are observed ∼30 ps after resonant HOMO–LUMO excitation with a visible laser pump pulse. The transient changes in the TRXPS spectra are accompanied by a characteristic surface photovoltage (SPV) response of the ZnO substrate on a pico- to nanosecond time scale. The interplay between the two phenomena is discussed in the context of possible electronic relaxation and recombination pathways that lead to the neutralisation of the transiently oxidised dye after ultrafast electron injection. A detailed account of the experimental technique is given including an analysis of the chemical modification of the nano-structured ZnO substrate during extended periods of solution-based dye sensitisation and its relevance for studies using surface-sensitive spectroscopy techniques.
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63
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Zhang Y, Ziegler D, Salmeron M. Charge trapping states at the SiO2-oligothiophene monolayer interface in field effect transistors studied by Kelvin probe force microscopy. ACS NANO 2013; 7:8258-65. [PMID: 23987138 DOI: 10.1021/nn403750h] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/09/2023]
Abstract
Using Kelvin probe force microscopy (KPFM) we studied the local charge trapping states at the SiO2-oligothiophene interface in a field effect transistor (FET), where SiO2 is the gate dielectric. KPFM reveals surface potential inhomogeneities within the oligothiophene monolayer, which correlate with its structure. A large peak of trap states with energies in the oligothiophene's band gap due to hydroxyl groups is present at the oxide surface. We show that these states are successfully eliminated by preadsorption of a layer of (3-aminopropyl)triethoxysilane (APTES). Time-resolved surface potential transient measurements further show that the charge carrier injection in the nonpassivated FET contains two exponential transients, due to the charge trapping on the oxide surface and in the bulk oxide, while the APTES-passivated FET has only a single-exponential transient due to the bulk oxide. The results demonstrate that APTES is a good SiO2 surface passivation layer to reduce trap states while maintaining a hydrophilic surface, pointing out the importance of dielectric surface passivation to bridge the gap between soft materials and electronic devices.
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65
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Zhu Z, Melaet G, Axnanda S, Alayoglu S, Liu Z, Salmeron M, Somorjai GA. Structure and Chemical State of the Pt(557) Surface during Hydrogen Oxidation Reaction Studied by in Situ Scanning Tunneling Microscopy and X-ray Photoelectron Spectroscopy. J Am Chem Soc 2013; 135:12560-3. [DOI: 10.1021/ja406497s] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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66
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Escudero C, Jiang P, Pach E, Borondics F, West MW, Tuxen A, Chintapalli M, Carenco S, Guo J, Salmeron M. A reaction cell with sample laser heating for in situ soft X-ray absorption spectroscopy studies under environmental conditions. JOURNAL OF SYNCHROTRON RADIATION 2013; 20:504-508. [PMID: 23592631 DOI: 10.1107/s0909049513002434] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/06/2012] [Accepted: 01/23/2013] [Indexed: 06/02/2023]
Abstract
A miniature (1 ml volume) reaction cell with transparent X-ray windows and laser heating of the sample has been designed to conduct X-ray absorption spectroscopy studies of materials in the presence of gases at atmospheric pressures. Heating by laser solves the problems associated with the presence of reactive gases interacting with hot filaments used in resistive heating methods. It also facilitates collection of a small total electron yield signal by eliminating interference with heating current leakage and ground loops. The excellent operation of the cell is demonstrated with examples of CO and H2 Fischer-Tropsch reactions on Co nanoparticles.
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Porsgaard S, Ono LK, Zeuthen H, Knudsen J, Schnadt J, Merte LR, Chevallier J, Helveg S, Salmeron M, Wendt S, Besenbacher F. In Situ Study of CO Oxidation on HOPG-Supported Pt Nanoparticles. Chemphyschem 2013; 14:1553-7. [DOI: 10.1002/cphc.201300217] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/01/2013] [Indexed: 11/10/2022]
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68
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Feng X, Kwon S, Park JY, Salmeron M. Superlubric sliding of graphene nanoflakes on graphene. ACS NANO 2013; 7:1718-1724. [PMID: 23327483 DOI: 10.1021/nn305722d] [Citation(s) in RCA: 146] [Impact Index Per Article: 13.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
The lubricating properties of graphite and graphene have been intensely studied by sliding a frictional force microscope tip against them to understand the origin of the observed low friction. In contrast, the relative motion of free graphene layers remains poorly understood. Here we report a study of the sliding behavior of graphene nanoflakes (GNFs) on a graphene surface. Using scanning tunneling microscopy, we found that the GNFs show facile translational and rotational motions between commensurate initial and final states at temperatures as low as 5 K. The motion is initiated by a tip-induced transition of the flakes from a commensurate to an incommensurate registry with the underlying graphene layer (the superlubric state), followed by rapid sliding until another commensurate position is reached. Counterintuitively, the average sliding distance of the flakes is larger at 5 K than at 77 K, indicating that thermal fluctuations are likely to trigger their transitions from superlubric back to commensurate ground states.
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69
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Rosseler O, Sleiman M, Montesinos VN, Shavorskiy A, Keller V, Keller N, Litter MI, Bluhm H, Salmeron M, Destaillats H. Chemistry of NOx on TiO2 Surfaces Studied by Ambient Pressure XPS: Products, Effect of UV Irradiation, Water, and Coadsorbed K(.). J Phys Chem Lett 2013; 4:536-41. [PMID: 26281751 DOI: 10.1021/jz302119g] [Citation(s) in RCA: 35] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
Self-cleaning surfaces containing TiO2 nanoparticles have been postulated to efficiently remove NOx from the atmosphere. However, UV irradiation of NOx adsorbed on TiO2 also was shown to form harmful gas-phase byproducts such as HONO and N2O that may limit their depolluting potential. Ambient pressure XPS was used to study surface and gas-phase species formed during adsorption of NO2 on TiO2 and subsequent UV irradiation at λ = 365 nm. It is shown here that NO3(-), adsorbed on TiO2 as a byproduct of NO2 disproportionation, was quantitatively converted to surface NO2 and other reduced nitrogenated species under UV irradiation in the absence of moisture. When water vapor was present, a faster NO3(-) conversion occurred, leading to a net loss of surface-bound nitrogenated species. Strongly adsorbed NO3(-) in the vicinity of coadsorbed K(+) cations was stable under UV light, leading to an efficient capture of nitrogenated compounds.
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70
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Tuxen A, Carenco S, Chintapalli M, Chuang CH, Escudero C, Pach E, Jiang P, Borondics F, Beberwyck B, Alivisatos AP, Thornton G, Pong WF, Guo J, Perez R, Besenbacher F, Salmeron M. Size-Dependent Dissociation of Carbon Monoxide on Cobalt Nanoparticles. J Am Chem Soc 2013; 135:2273-8. [DOI: 10.1021/ja3105889] [Citation(s) in RCA: 180] [Impact Index Per Article: 16.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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71
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Martin F, Hendriksen BLM, Katan AJ, Qi Y, Mauldin C, Fréchet JMJ, Salmeron M. Sensitivity to molecular order of the electrical conductivity in oligothiophene monolayer films. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2013; 29:1206-1210. [PMID: 23244532 DOI: 10.1021/la303609g] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
Using conducting probe atomic force microscopy (CAFM), we show that electrical conductivity in oligothiophene molecular films deposited on SiO(2)/Si wafers is extremely sensitive to degree of crystalline order in the film. By locally distorting the molecular order in the films through the controlled application of pressure with the AFM tip, the lateral charge transport was reduced by factors varying from 2 to 10, even when no changes in the height of the film could be observed.
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72
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Jiang P, Prendergast D, Borondics F, Porsgaard S, Giovanetti L, Pach E, Newberg J, Bluhm H, Besenbacher F, Salmeron M. Experimental and theoretical investigation of the electronic structure of Cu2O and CuO thin films on Cu(110) using x-ray photoelectron and absorption spectroscopy. J Chem Phys 2013; 138:024704. [DOI: 10.1063/1.4773583] [Citation(s) in RCA: 163] [Impact Index Per Article: 14.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022] Open
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73
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Butcher DR, Zhu Z, Mao B, Wang H, Liu Z, Salmeron M, Somorjai GA. Mobility on the reconstructed Pt(100)-hex surface in ethylene and in its mixture with hydrogen and carbon monoxide. Chem Commun (Camb) 2013; 49:6903-5. [DOI: 10.1039/c3cc42312c] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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74
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Porsgaard S, Merte LR, Ono LK, Behafarid F, Matos J, Helveg S, Salmeron M, Roldan Cuenya B, Besenbacher F. Stability of platinum nanoparticles supported on SiO2/Si(111): a high-pressure X-ray photoelectron spectroscopy study. ACS NANO 2012; 6:10743-10749. [PMID: 23140267 DOI: 10.1021/nn3040167] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
The stability of Pt nanoparticles (NPs) supported on ultrathin SiO(2) films on Si(111) was investigated in situ under H(2) and O(2) (0.5 Torr) by high-pressure X-ray photoelectron spectroscopy (HP-XPS) and ex situ by atomic force microscopy (AFM). No indication of sintering was observed up to 600 °C in both reducing and oxidizing environments for size-selected Pt NPs synthesized by inverse micelle encapsulation. However, HP-XPS revealed a competing effect of volatile PtO(x) desorption from the Pt NPs (~2 and ~4 nm NP sizes) at temperatures above 450 °C in the presence of 0.5 Torr of O(2). Under oxidizing conditions, the entire NPs were oxidized, although with no indication of a PtO(2) phase, with XPS binding energies better matching PtO. The stability of catalytic NPs in hydrogenation and oxidation reactions is of great importance due to the strong structure sensitivity observed in a number of catalytic processes of industrial relevance. An optimum must be found between the maximization of the surface active sites and metal loading (i.e., minimization of the NP size), combined with the maximization of their stability, which, as it will be shown here, is strongly dependent on the reaction environment.
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Wu S, Liu WT, Liang X, Schuck PJ, Wang F, Shen YR, Salmeron M. Hot phonon dynamics in graphene. NANO LETTERS 2012; 12:5495-5499. [PMID: 23106146 DOI: 10.1021/nl301997r] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
The dynamics of hot phonons in supported, suspended, and gated monolayer graphene was studied by using time-resolved anti-Stokes Raman spectroscopy. We found that the hot phonon relaxation is dominated by phonon-phonon interaction in graphene, and strongly affected by the interaction between graphene and the substrate. Relaxation via carrier-phonon coupling, known as Landau damping, is ineffective for hot phonons which are in thermal equilibrium with excited carriers. Our findings provide a basis for better management of energy dissipation in graphene devices.
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