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Ma Y, Jiang B, Moosavi-Khoonsari E, Andersson S, Opila EJ, Tranell GM. Oxidation of Liquid Silicon in Air Atmospheres Containing Water Vapor. Ind Eng Chem Res 2019. [DOI: 10.1021/acs.iecr.9b00313] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Y. Ma
- Department of Materials Science and Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway
| | - B. Jiang
- Department of Materials Science and Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway
| | - E. Moosavi-Khoonsari
- Department of Materials Science and Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway
- Research and Development, TATA steel Europe, 1951MD Velsen-Noord, The Netherlands
| | - S. Andersson
- Department of Metal Production and Processing, SINTEF Industry, 7465 Trondheim, Norway
| | - E. J. Opila
- Department of Materials Science and Engineering, University of Virginia, Virginia 22904-4745, Charlottesville, United States
| | - G. M. Tranell
- Department of Materials Science and Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway
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2
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Biswas S, Deshpande SV, Dunn DN, Narasimhan S. Tuning patterning conditions by co-adsorption of gases: Br2 and H2 on Si(001). J Chem Phys 2013; 139:184713. [PMID: 24320297 DOI: 10.1063/1.4828702] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We have studied the co-adsorption of Br2 and H2 on Si(001), and obtained co-adsorption energies and the surface phase diagram as a function of the chemical potential and pressure of the two gases. To do this, we have used density functional theory calculations in combination with ab initio atomistic thermodynamics. Over large ranges of bromine and hydrogen chemical potentials, the favored configuration is found to be either one with only Br atoms adsorbed on the surface, at full coverage, in a (3 × 2) pattern, or a fully H-covered surface in a (2 × 1) structure. However, we also find regions of the phase diagram where there are configurations with either only Br atoms, or Br and H atoms, arranged in a two-atom-wide checkerboard pattern with a (4 × 2) surface unit cell. Most interestingly, we find that by co-adsorbing with H2, we bring this pattern into a region of the phase diagram corresponding to pressures that are significantly higher than those where it is observed with Br2 alone. We also find small regions of the phase diagram with several other interesting patterns.
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Affiliation(s)
- Sananda Biswas
- Theoretical Sciences Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore - 560064, India
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3
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Back S, Schmidt JA, Ji H, Heo J, Shao Y, Jung Y. On the structure of Si(100) surface: importance of higher order correlations for buckled dimer. J Chem Phys 2013; 138:204709. [PMID: 23742502 DOI: 10.1063/1.4807334] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022] Open
Abstract
We revisit a dangling theoretical question of whether the surface reconstruction of the Si(100) surface would energetically favor the symmetric or buckled dimers on the intrinsic potential energy surfaces at 0 K. This seemingly simple question is still unanswered definitively since all existing density functional based calculations predict the dimers to be buckled, while most wavefunction based correlated treatments prefer the symmetric configurations. Here, we use the doubly hybrid density functional (DHDF) geometry optimizations, in particular, XYGJ-OS, complete active space self-consistent field theory, multi-reference perturbation theory, multi-reference configuration interaction (MRCI), MRCI with the Davidson correction (MRCI + Q), multi-reference average quadratic CC (MRAQCC), and multi-reference average coupled pair functional (MRACPF) methods to address this question. The symmetric dimers are still shown to be lower in energy than the buckled dimers when using the CASPT2 method on the DHDF optimized geometries, consistent with the previous results using B3LYP geometries [Y. Jung, Y. Shao, M. S. Gordon, D. J. Doren, and M. Head-Gordon, J. Chem. Phys. 119, 10917 (2003)]. Interestingly, however, the MRCI + Q, MRAQCC, and MRACPF results (which give a more refined description of electron correlation effects) suggest that the buckled dimer is marginally more stable than its symmetric counterpart. The present study underlines the significance of having an accurate description of the electron-electron correlation as well as proper multi-reference wave functions when exploring the extremely delicate potential energy surfaces of the reconstructed Si(100) surface.
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Affiliation(s)
- Seoin Back
- Graduate School of EEWS (WCU), Korea Advanced Institute of Science and Technology (KAIST), Daejeon 305-701, South Korea
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4
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Reaction Dynamics of Molecular Hydrogen on Silicon Surfaces: Importance of Lattice Degrees of Freedom. ACTA ACUST UNITED AC 2013. [DOI: 10.1007/978-3-642-32955-5_10] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/20/2023]
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5
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Kottke M, Neuburger M, Fee D, Beyer J, Pullman D. Observation of an exceptionally high apparent kinetic order in the thermal desorption of D2from the Si(100) surface. Mol Phys 2012. [DOI: 10.1080/00268976.2012.695809] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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6
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Shi J, Chuan Kang H, Tok ES, Zhang J. Evidence for hydrogen desorption through both interdimer and intradimer paths from Si(100)-(2 x 1). J Chem Phys 2007; 123:34701. [PMID: 16080749 DOI: 10.1063/1.1937392] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Despite intensive work there are still controversial issues about desorption and adsorption of hydrogen on Si(100)-(2 x 1). In particular, the relative importance of the various interdimer- and intradimer-desorption paths is not clear. Nanosecond-pulse-laser desorption data have been used to argue that the 4H interdimer path is important, while data from thermal-desorption time-of-flight measurements suggest a large translationally hot contribution which cannot arise from the 4H interdimer path. The observation of a translationally hot desorption fraction at low to medium coverage can be accounted for by including the 2H interdimer path in quantum dynamical calculations. In this paper we investigate this issue further and present evidence that supports the inclusion of the intradimer path. Specifically, our results show that the intradimer and 3H interdimer paths provide the major contributions to the translationally hot fraction in the desorbate. Our conclusions are based on density-functional calculations of hydrogen translational excitation, mean-field analysis of thermal-desorption experiments over a range of ramp rate, and Monte Carlo simulations of nanosecond-pulse-laser experiments.
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Affiliation(s)
- J Shi
- Department of Chemistry, National University of Singapore
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7
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Andrianov I, Saalfrank P. Theoretical study of vibration-phonon coupling of H adsorbed on a Si(100) surface. J Chem Phys 2006; 124:034710. [PMID: 16438603 DOI: 10.1063/1.2161191] [Citation(s) in RCA: 55] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022] Open
Abstract
In this paper a perturbation-theory study of vibrational lifetimes for the bending and stretching modes of hydrogen adsorbed on a Si(100) surface is presented. The hydrogen-silicon interaction is treated with a semiempirical bond-order potential. Calculations are performed for H-Si clusters of different sizes. The finite lifetime is due to vibration-phonon coupling, which is assumed to be linear or bilinear in the phonon and nonlinear in the H-Si stretching and bending modes. Lifetimes and vibrational transition rates are evaluated with one- and two-phonon processes taken into account. Temperature effects are also discussed. In agreement with the experiment and previous theoretical treatment it is found that the H-Si (upsilon(s) = 1) stretching vibration decays on a nanosecond timescale, whereas for the H-Si (upsilon(b) = 1) bending mode a picosecond decay is predicted. For higher-excited vibrations, simple scaling laws are found if the excitation energies are not too large. The relaxation mechanisms for the excited H-Si stretching and the H-Si bending modes are analyzed in detail.
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Affiliation(s)
- Ivan Andrianov
- Universität Potsdam, Institut für Chemie, Karl-Liebknecht-Strasse 24-25, D-14476 Potsdam-Golm, Germany
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8
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Hawa T, Zachariah MR. Internal pressure and surface tension of bare and hydrogen coated silicon nanoparticles. J Chem Phys 2004; 121:9043-9. [PMID: 15527370 DOI: 10.1063/1.1797073] [Citation(s) in RCA: 46] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022] Open
Abstract
We present a study of internal pressure and surface tension of bare and hydrogen coated silicon nanoparticles of 2-10 nm diameter as a function of temperature, using molecular dynamics simulations employing a reparametrized Kohen-Tully-Stillinger interatomic potential. The internal pressure was found to increase with decreasing particle size but the density was found to be independent of the particle size. We showed that for covalent bond structures, changes in surface curvature and the associated surface forces were not sufficient to significantly change bond lengths and angles. Thus, the surface tension was also found to be independent of the particle size. Surface tension was found to decrease with increasing particle temperature while the internal pressure did not vary with temperature. The presence of hydrogen on the surface of a particle significantly reduces surface tension (e.g., drops from 0.83 J/m(2) to 0.42 J/m(2) at 1500 K). The computed pressure of bare and coated particles was found to follow the classical Laplace-Young equation.
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Affiliation(s)
- T Hawa
- Department of Mechanical Engineering and Department of Chemistry, University of Maryland, College Park, Maryland, USA
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9
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HBr Formation from the Reaction between Gas-phase Bromine Atom and Vibrationally Excited Chemisorbed Hydrogen Atoms on a Si(001)-(2 X1) Surface. B KOREAN CHEM SOC 2004. [DOI: 10.5012/bkcs.2004.25.8.1217] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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10
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Formation of Hydroxyl Radical from the Hydrogen Chemisorbed Silicon Surface by Incident Oxygen Atoms. B KOREAN CHEM SOC 2003. [DOI: 10.5012/bkcs.2003.24.7.986] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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11
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Ree J, Kim YH, Shin HK. Oxygen Atom Abstraction of Hydrogen Chemisorbed on a Silicon Surface. J Phys Chem A 2003. [DOI: 10.1021/jp030227r] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Affiliation(s)
- J. Ree
- Department of Chemistry Education, Chonnam National University, Kwangju, Korea
| | - Y. H. Kim
- Department of Chemistry and Center for Chemical Dynamics, Inha University, Inchon, Korea
| | - H. K. Shin
- Department of Chemistry, University of Nevada, Reno, Nevada 89557
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12
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Van Voorhis T, Head-Gordon M. Implementation of generalized valence bond-inspired coupled cluster theories. J Chem Phys 2002. [DOI: 10.1063/1.1515319] [Citation(s) in RCA: 49] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022] Open
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13
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Filippi C, Healy SB, Kratzer P, Pehlke E, Scheffler M. Quantum Monte Carlo calculations of H2 dissociation on Si(001). PHYSICAL REVIEW LETTERS 2002; 89:166102. [PMID: 12398737 DOI: 10.1103/physrevlett.89.166102] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/19/2002] [Indexed: 05/24/2023]
Abstract
The dissociative adsorption of H2 on the Si(001) surface is theoretically investigated for several reaction pathways using quantum Monte Carlo methods. Our reaction energies and barriers are at large variance with those obtained with commonly used approximate exchange-correlation density functionals. Our results for adsorption support recent experimental findings, while, for desorption, the calculations give barriers in excess of the presently accepted experimental value, pinpointing the role of coverage effects and desorption from steps.
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Affiliation(s)
- Claudia Filippi
- Instituut Lorentz, Universiteit Leiden, Niels Bohrweg 2, NL-2333 CA, The Netherlands
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14
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Sagara T, Kuga T, Tanaka K, Shibataka T, Fujimoto T, Namiki A. Translational heating of D(2) molecules thermally desorbed from Si(100) and Ge(100) surfaces. PHYSICAL REVIEW LETTERS 2002; 89:086101. [PMID: 12190484 DOI: 10.1103/physrevlett.89.086101] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/19/2002] [Indexed: 05/23/2023]
Abstract
The translational energies of D(2) molecules thermally desorbed from the Si(100) and Ge(100) surfaces under a heating rate of 6 K/s have been measured. In contrast to the previous laser desorption study, results show a considerable translational heating; the observed translational temperature is about 3 times higher than the desorption temperature for both surfaces. This fact indicates that energy barriers for adsorption are present even in the desorption pathway. Detailed balance is applicable to the adsorption and desorption dynamics of hydrogen on the Si(100) surface.
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Affiliation(s)
- T Sagara
- Department of Electrical Engineering, Kyushu Institute of Technology, Kitakyushu 804-8550, Japan
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15
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Hydrogen Surface Coverage Dependence of the Reaction between Gaseous and Chemisorbed Hydrogen Atoms on a Silicon Surface. B KOREAN CHEM SOC 2002. [DOI: 10.5012/bkcs.2002.23.2.205] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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16
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Steckel JA, Phung T, Jordan KD, Nachtigall P. Concerted Use of Slab and Cluster Models in an ab Initio Study of Hydrogen Desorption from the Si(100) Surface. J Phys Chem B 2001. [DOI: 10.1021/jp0035176] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- J. A. Steckel
- Department of Chemistry and Center for Molecular and Materials Simulations, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
| | - T. Phung
- Department of Chemistry and Center for Molecular and Materials Simulations, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
| | - K. D. Jordan
- Department of Chemistry and Center for Molecular and Materials Simulations, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
| | - P. Nachtigall
- J. Heyrovský Institute of Physical Chemistry, Academy of Sciences of the Czech Republic and Center for Complex Molecular Systems and Biomolecules, Dolejškova 3, 182 23 Prague 8, Czech Republic
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17
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Shimokawa S, Namiki A, N.-Gamo M, Ando T. Temperature dependence of atomic hydrogen-induced surface processes on Ge(100): Thermal desorption, abstraction, and collision-induced desorption. J Chem Phys 2000. [DOI: 10.1063/1.1311783] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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18
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Khanom F, Shimokawa S, Inanaga S, Namiki A, N.-Gamo M, Ando T. Rate equations for collision-induced desorption and abstraction in the reaction system H(g)+D/Si(100)→D2,HD at 573 K. J Chem Phys 2000. [DOI: 10.1063/1.1288031] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Zimmermann FM, Pan X. Interaction of H2 with Si(001)-(2 x 1): solution of the barrier puzzle. PHYSICAL REVIEW LETTERS 2000; 85:618-621. [PMID: 10991354 DOI: 10.1103/physrevlett.85.618] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/07/2000] [Indexed: 05/23/2023]
Abstract
The sticking probability of H2 on Si(001) is immeasurably small at room temperature, indicating the presence of a large energy barrier to adsorption. Surprisingly, the final state energy distributions of H2 molecules desorbing from Si(001) show no signs of having traversed such a barrier, in apparent contradiction with microscopic reversibility. Here we report experimental and theoretical evidence resolving this long-standing puzzle. Adsorption and desorption proceeding along two distinct, microscopically reversible pathways can explain all observations.
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Affiliation(s)
- F M Zimmermann
- Department of Physics and Laboratory for Surface Modification, Rutgers University, Piscataway, New Jersey 08854, USA
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21
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Shoemaker J, Burggraf LW, Gordon MS. Anab initiocluster study of the structure of the Si(001) surface. J Chem Phys 2000. [DOI: 10.1063/1.480930] [Citation(s) in RCA: 81] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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22
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Shimokawa S, Namiki A, Ando T, Sato Y, Lee J. Kinetics study on the hydrogen atom-induced abstraction and associative desorption of deuterium adatoms from the Si(100) surface at 573 K. J Chem Phys 2000. [DOI: 10.1063/1.480586] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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23
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Ree J, Shin HK. Interaction of gas-phase atomic chlorine with a silicon surface: Reactions on bare and hydrogen-chemisorbed surface sites. J Chem Phys 1999. [DOI: 10.1063/1.480375] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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24
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Penev E, Kratzer P, Scheffler M. Effect of the cluster size in modeling the H2 desorption and dissociative adsorption on Si(001). J Chem Phys 1999. [DOI: 10.1063/1.478279] [Citation(s) in RCA: 143] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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25
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Kim WK, Ree J, Shin HK. Eley−Rideal Dynamics of the Chlorine Atom Abstraction of Hydrogen Chemisorbed on Silicon. J Phys Chem A 1999. [DOI: 10.1021/jp982927f] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- W. K. Kim
- Department of Chemistry,‡ University of Nevada, Reno, Nevada 89557
| | - J. Ree
- Department of Chemistry,‡ University of Nevada, Reno, Nevada 89557
| | - H. K. Shin
- Department of Chemistry,‡ University of Nevada, Reno, Nevada 89557
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26
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Kratzer P. The dynamics of the H + D/Si(001) reaction: a trajectory study based on ab initio potentials. Chem Phys Lett 1998. [DOI: 10.1016/s0009-2614(98)00318-2] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Abstract
▪ Abstract We review the young field of ab initio molecular dynamics applied to molecule-surface reactions. The techniques of ab initio molecular dynamics include methods that use an analytic potential energy function fit to ab initio data and those that are fully ab initio. In this review, we focus on the insights provided by ab initio–based molecular dynamics that are currently unavailable from experimental studies and discuss current techniques and limitations. As an example of how different aspects of a problem can be tackled with state-of-the-art theoretical tools, we consider the well-studied case of H2 desorption and adsorption from the Si(100)-2 × 1 surface.
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Affiliation(s)
- M R Radeke
- Department of Chemistry and Biochemistry, Box 951569, University of California, Los Angeles, CA 90095-1569, USA
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28
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Takamine Y, Namiki A. Angular distribution of HD produced in the abstraction reaction by incident D atoms on the monohydrided Si(100). J Chem Phys 1997. [DOI: 10.1063/1.473957] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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29
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Kratzer P. Reaction dynamics of atomic hydrogen with the hydrogenated Si(001) (2×1) surface. J Chem Phys 1997. [DOI: 10.1063/1.473672] [Citation(s) in RCA: 80] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Radeke MR, Carter EA. A dynamically and kinetically consistent mechanism for H2 adsorption/desorption from Si(100)-2 x 1. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:11803-11817. [PMID: 9984972 DOI: 10.1103/physrevb.54.11803] [Citation(s) in RCA: 52] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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32
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Hult E, Andersson Y, Lundqvist BI, Langreth DC. Density Functional for van der Waals Forces at Surfaces. PHYSICAL REVIEW LETTERS 1996; 77:2029-2032. [PMID: 10061839 DOI: 10.1103/physrevlett.77.2029] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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33
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Bratu P, Kompa K, Höfer U. Optical second-harmonic investigations of H2 and D2 adsorption on Si (100) 2 × 1: the surface temperature dependence of the sticking coefficient. Chem Phys Lett 1996. [DOI: 10.1016/0009-2614(96)00085-1] [Citation(s) in RCA: 64] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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34
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Luntz AC, Kratzer P. D2 dissociative adsorption on and associative desorption from Si(100): Dynamic consequences of an ab initio potential energy surface. J Chem Phys 1996. [DOI: 10.1063/1.471074] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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