Effect of etching conditions on anisotropic etch rates of quartz and KMC simulation
1. 28th Research Institute of China Electronics Technology Group Corporation, Nanjing, Jiangsu 210007, China; 2. School of Mechanical Engineering, Southeast University, Nanjing, Jiangsu 211189, China
Abstract:The complex anisotropic etching characteristics of the anisotropic wet etching for quartz make it difficult to predict and control the evolution process and the etching results. By etching hemispherical method, the effects of concentration and temperature of solution on anisotropic etch rates of quartz were investigated. Based on the activation energy, the cause of anisotropic etching characteristics was analyzed in detail. In morphology prediction, according to the particular atomic arrangements and the facet specific etch rates of several crystal planes parallel to the electric x and mechanical y axes, the KMC etching process model was established based on a suitable quartz-based removal probability function (QUARTZ-RPF). The prediction of the etch rates at wide range of crystallographic facets is successfully realized, and the three-dimensional microstructures and topography etched on Z-cut substrate with arbitrary mask patterns are accurately simulated.
ABE T, ESASHI M. One-chip multichannel quartz crystal microbalance (QCM) fabricated by deep RIE[J]. Sensors and Actuators A: Physical, 2000, 82: 139-143.
[2]
BECKER H, LOWACK K, MANZ A. Planar quartz chips with submicron channels for two-dimensional capillary electrophoresis applications[J]. J Micromech Microeng, 1998,8: 24.
[3]
LIANG J X, KOHSAKA F, MATSUO T, et al. Deep wet etching of Z cut quartz wafer for MEMS applications[C]//Proceedings of the 23rd Sensor Symposium, 2006:31-35.
[4]
KOPITKOVAS G, LIPPERT T, DAVID C, et al. Fabrication of micro-optical elements in quartz by laser induced backside wet etching[J]. Microelectron Engineering, 2003,67/68: 438-444.
[5]
WANG J, NIINO H, YABE A, et al. Micromachining of quartz crystal with excimer lasers by laser-induced backside wet etching[J]. Applied physics A, 1999,69:271-273.
[6]
LIN Y C, ONO T, ESASHI M. Fabrication and characterization of micromachined quartz-crystal cantilever for force sensing[J]. Journal of Micromechanics and Mic-roengineering, 2005,15:2426-2432.
[7]
HEDLUND C, LINDBERG U, BUCHT U, et al. Anisotropic etching of Z-cut quartz[J]. J Micromech Mic-roeng, 1993,3:65-73.
[8]
LIANG J, KOHSAKA F, MATSUO T, et al. Wet etched high aspect ratio microstructures on quartz for MEMS applications[J].電気学会論文誌 E (センサ·マイクロマシン部門誌), 2007,127:337-342.
[9]
RANGSTEN P, HEDLUND C, KATARDJIEV I V, et al. Etch rates of crystallographic planes in Z-cut quartz:experiments and simulation[J]. J Micromech Microeng, 1998,8:1-6.
[10]
WARD R W. Etching of quartz crystal spheres [D]∥47th Proceedings of the 1993 IEEE International: Frequency Control Symposium. USA: IEEE,1993:390-396.
[11]
植田敏嗣, 幸坂扶佐夫, 飯野俊雄,等. Theory to predict etching shapes in quartz crystal and its application to design devices[J]. 計測自動制御学会論文集, 1987,23(12):1233-1238.
[12]
TELLIER C R, LEBLOIS T G. Micromachining of quartz plates: determination of a database by combined stereographic analysis and 3-D simulation of etching shapes[J]. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 2000,47(5):1204-1216.
[13]
FERRANDO N, GOSLVEZ M A, COLM R J. Evolutionary continuous cellular automaton for the simulation of wet etching of quartz[J]. J Micromech Microeng, 2012,22:025021.
[14]
GOSLVEZ M A, XING Y, SATO K, et al. Atomistic methods for the simulation of evolving surfaces[J]. J Micromech Microeng, 2008,18:055029.
[15]
MOKTADIRY Z,CAMON H. Monte Carlo simulation of anisotropic etching of silicon: investigation of (111) surface properties[J]. Modelling Simul Mater Sci Eng, 1997,5:481-488.
[16]
XING Y, GOSLVEZ M A, SATO K, et al. Evolutio-nary determination of kinetic Monte Carlo rates for the simulation of evolving surfaces in anisotropic etching of silicon[J]. J Micromech Microeng, 2012, 22:085020.
[17]
XING Y, GOSLVEZ M A, SATO K. Step flow-based cellular automaton for the simulation of anisotropic et-ching of complex MEMS structures[J]. New Journal of Physics, 2007,9:436-454.
[18]
CHENG D, SATO K, SHIKIDA M, et al. Development of quartz etching database and 3-D micromachining si-mulation system[C]∥Proceedings of 2003 International Symposium: Micromechatronics and Human Science. USA: IEEE, 2003:281-285.
[19]
GOSLVEZ M A, CHENG D, NIEMINEN R M, et al. Apparent activation energy during surface evolution by step formation and flow[J]. New Journal of Physics, 2006,8:269-280.