Kinetic Monte Carlo simulations of plasma-surface reactions on heterogeneous surfaces
Daniil Marinov
Kinetic Monte Carlo simulations of plasma-surface reactions on heterogeneous surfaces
Reactions of atoms and molecules on chamber walls in contact with low temperature plasmas are important in various technological applications. Plasma-surface interactions are complex and relatively poorly understood. Experiments performed over the last decade by several groups prove that interactions of reactive species with relevant plasma-facing materials are characterized by distributions of adsorption energy and reactivity. In this paper, we develop a kinetic Monte Carlo (KMC) model that can effectively handle chemical kinetics on such heterogenous surfaces. Using this model, we analyse published adsorption-desorption kinetics of chlorine molecules and recombination of oxygen atoms on rotating substrates as a test case for the KMC model.
plasma-surface interaction / kinetic Monte Carlo / plasma nano technology
[1] |
Donnelly V M, Kornblit A. Plasma etching: Yesterday, today, and tomorrow. Journal of Vacuum Science & Technology. A, Vacuum, Surfaces, and Films, 2013, 31(5): 050825–050872
CrossRef
Google scholar
|
[2] |
Zhang D, Kushner M J. Investigations of surface reactions during C2F6 plasma etching of SiO2 with equipment and feature scale models. Journal of Vacuum Science & Technology. A, Vacuum, Surfaces, and Films, 2001, 19(2): 524–538
CrossRef
Google scholar
|
[3] |
Brichon P, Despiau-Pujo E, Mourey O, Joubert O. Key plasma parameters for nanometric precision etching of Si films in chlorine discharges. Journal of Applied Physics, 2015, 118(5): 053303–053312
CrossRef
Google scholar
|
[4] |
Barone M E, Graves D B. Molecular-dynamics simulations of direct reactive ion etching of silicon by fluorine and chlorine. Journal of Applied Physics, 1995, 78(11): 6604–6617
CrossRef
Google scholar
|
[5] |
Benedikt J, Woen R V, van Mensfoort S L M, Perina V, Hong J, van de Sanden M C M. Plasma chemistry during the deposition of a-C:H films and its influence on film properties. Diamond and Related Materials, 2003, 12(2): 90–97
CrossRef
Google scholar
|
[6] |
Tsalikis D G, Baig C, Mavrantzas V G, Amanatides E, Mataras D. A hybrid kinetic Monte Carlo method for simulating silicon films grown by plasma-enhanced chemical vapor deposition. Journal of Chemical Physics, 2013, 139(20): 204706–204719
CrossRef
Google scholar
|
[7] |
Crose M, Sang-Il Kwon J, Nayhouse M, Ni D, Christofides P D. Multiscale modeling and operation of PECVD of thin film solar cells. Chemical Engineering Science, 2015, 136: 50–61
CrossRef
Google scholar
|
[8] |
Zyulkov I, Krishtab M, De Gendt S, Armini S. Selective Ru ALD as a catalyst for sub-seven-nanometer bottom-up metal interconnects. ACS Applied Materials & Interfaces, 2017, 9(36): 31031–31041
CrossRef
Google scholar
|
[9] |
von Keudell A, Möller W. A combined plasma-surface model for the deposition of C:H films from a methane plasma. Journal of Applied Physics, 1994, 75(12): 7718–7727
CrossRef
Google scholar
|
[10] |
Neyts E C. PECVD growth of carbon nanotubes: From experiment to simulation. Journal of Vacuum Science & Technology. B, Microelectronics and Nanometer Structures : Processing, Measurement, and Phenomena : An Official Journal of the American Vacuum Society, 2012, 30: 030803–030819
|
[11] |
Neyts E C, Ostrikov K, Sunkara M K, Bogaerts A. Plasma catalysis: Synergistic effects at the nanoscale. Chemical Reviews, 2015, 115(24): 13408–13446
CrossRef
Google scholar
|
[12] |
Kim H H. Nonthermal plasma processing for air-pollution control: A historical review, current issues, and future prospects. Plasma Processes and Polymers, 2004, 1(2): 91–110
CrossRef
Google scholar
|
[13] |
Neyts E C, Bogaerts A. Understanding plasma catalysis through modelling and simulation—a review. Journal of Physics. D, Applied Physics, 2014, 47(22): 224010–224027
CrossRef
Google scholar
|
[14] |
Meana-Pañeda R, Paukku Y, Duanmu K, Norman P, Schwartzentruber T E, Truhlar D G. Atomic oxygen recombination at surface defects on reconstructed (0001) α-quartz exposed to atomic and molecular oxygen. Journal of Physical Chemistry C, 2015, 119(17): 9287–9301
CrossRef
Google scholar
|
[15] |
Neyts E C, Brault P. Molecular dynamics simulations for plasma-surface interactions. Plasma Processes and Polymers, 2017, 14(1-2): 1600145–1600164
CrossRef
Google scholar
|
[16] |
Marinov D, Teixeira C, Guerra V. Deterministic and Monte Carlo methods for simulation of plasma-surface interactions. Plasma Processes and Polymers, 2017, 14(1-2): 1600175–1600192
CrossRef
Google scholar
|
[17] |
Guerra V, Marinov D. Dynamical Monte Carlo methods for plasma-surface reactions. Plasma Sources Science & Technology, 2016, 25(4): 045001–045016
CrossRef
Google scholar
|
[18] |
Cuppen H M, Karssemeijer L J, Lamberts T. The kinetic Monte Carlo method as a way to solve the master equation for interstellar grain chemistry. Chemical Reviews, 2013, 113(12): 8840–8871
CrossRef
Google scholar
|
[19] |
Norman P, Schwartzentruber T E, Leverentz H, Luo S, Meana-Paneda R, Paukku Y, Truhlar D G. The structure of silica surfaces exposed to atomic oxygen. Journal of Physical Chemistry C, 2013, 117(18): 9311–9321
CrossRef
Google scholar
|
[20] |
Stamatakis M. Kinetic modelling of heterogeneous catalytic systems. Journal of Physics Condensed Matter, 2015, 27(1): 013001–013028
CrossRef
Google scholar
|
[21] |
Rutigliano M, Zazza C, Sanna N, Pieretti A, Mancini G, Barone V, Cacciatore M. Oxygen adsorption on β-cristobalite polymorph: ab initio modeling and semiclassical time-dependent dynamics. Journal of Physical Chemistry A, 2009, 113(52): 15366–15375
CrossRef
Google scholar
|
[22] |
Guha J, Kurunczi P, Stafford L, Donnelly V M, Pu Y K. In-situ surface recombination measurements of oxygen atoms on anodized aluminum in an oxygen plasma. Journal of Physical Chemistry C, 2008, 112(24): 8963–8968
CrossRef
Google scholar
|
[23] |
Donnelly V M, Guha J, Stafford L. Critical review: Plasma-surface reactions and the spinning wall method. Journal of Vacuum Science & Technology. A, Vacuum, Surfaces, and Films, 2011, 29(1): 010801–010825
CrossRef
Google scholar
|
[24] |
Guha J, Donnelly V M. Studies of chlorine-oxygen plasmas and evidence for heterogeneous formation of ClO and ClO2. Journal of Applied Physics, 2009, 105(11): 113307–113316
CrossRef
Google scholar
|
[25] |
Marinov D, Guaitella O, Rousseau A, Ionikh Y. Production of molecules on a surface under plasma exposure: Example of NO on pyrex. Journal of Physics. D, Applied Physics, 2010, 43(11): 115203–115209
CrossRef
Google scholar
|
[26] |
Guerra V, Marinov D, Guaitella O, Rousseau A. NO oxidation on plasma pretreated Pyrex: The case for a distribution of reactivity of adsorbed O atoms. Journal of Physics. D, Applied Physics, 2014, 47(22): 224012–224023
CrossRef
Google scholar
|
[27] |
Guaitella O, Lazzaroni C, Marinov D, Rousseau A. Evidence of atomic adsorption on TiO2 under plasma exposure and related C2H2 surface reactivity. Applied Physics Letters, 2010, 97(1): 011502–011504
CrossRef
Google scholar
|
[28] |
Marinov D, Guaitella O, de los Arcos T, von Keudell A, Rousseau A. Adsorption and reactivity of nitrogen atoms on silica surface under plasma exposure. Journal of Physics. D, Applied Physics, 2014, 47(47): 475204–475214
CrossRef
Google scholar
|
[29] |
Kim Y C, Boudart M. Recombination of oxygen, nitrogen, and hydrogen atoms on silica: Kinetics and mechanism. Langmuir, 1991, 7(12): 2999–3005
CrossRef
Google scholar
|
[30] |
Guerra V. Analytical model of heterogeneous atomic recombination on silicalike surfaces. IEEE Transactions on Plasma Science, 2007, 35(5): 1397–1412
CrossRef
Google scholar
|
[31] |
Stafford L, Guha J, Khare R, Mattei S, Boudreault O, Clain B, Donnelly V M. Experimental and modeling study of O and Cl atoms surface recombination reactions in O2 and Cl2 plasmas. Pure and Applied Chemistry, 2010, 82(6): 1301–1315
CrossRef
Google scholar
|
[32] |
Guerra V, Dias F M, Loureiro J, Sá P A, Supiot P, Dupret C, Popov T. Time-dependence of the electron energy distribution function in the nitrogen afterglow. IEEE Transactions on Plasma Science, 2003, 31(4): 542–552
CrossRef
Google scholar
|
[33] |
Gillespie D T. A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. Journal of Computational Physics, 1976, 22(4): 403–434
CrossRef
Google scholar
|
[34] |
Kurunczi P F, Guha J, Donnelly V M. Recombination reactions of oxygen atoms on an anodized aluminum plasma reactor wall, studied by a spinning wall method. Journal of Physical Chemistry B, 2005, 109(44): 20989–20998
CrossRef
Google scholar
|
[35] |
Stafford L, Guha J, Donnelly V M. Recombination probability of oxygen atoms on dynamic stainless steel surfaces in inductively coupled O2 plasmas. Journal of Vacuum Science & Technology. A, Vacuum, Surfaces, and Films, 2008, 26(3): 455–461
CrossRef
Google scholar
|
[36] |
Guha J, Khare R, Stafford L, Donnelly V M, Sirard S, Hudson E A. Effect of Cu contamination on recombination of O atoms on a plasma-oxidized silicon surface. Journal of Applied Physics, 2009, 105(11): 113309–113316
CrossRef
Google scholar
|
[37] |
Janssen C, Tuzson B. Isotope evidence for ozone formation on surfaces. Journal of Physical Chemistry A, 2010, 114(36): 9709–9719
CrossRef
Google scholar
|
[38] |
Marinov D, Guaitella O, Booth J P, Rousseau A. Direct observation of ozone formation on SiO2 surfaces in O2 discharges. Journal of Physics. D, Applied Physics, 2013, 46(3): 032001–032004
CrossRef
Google scholar
|
[39] |
Lopaev D V, Malykhin E M, Zyryanov S M. Surface recombination of oxygen atoms in O2 plasma at increased pressure: II. Vibrational temperature and surface production of ozone. Journal of Physics. D, Applied Physics, 2010, 44(1): 015202–015217
CrossRef
Google scholar
|
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