Dislocation-controlled microscopic mechanical phenomena in single crystal silicon under bending stress at room temperature
Source abstract
Abstract
Silicon is widely used within energy, electro-mechanical, environmental devices by nanostructural control. As silicon parts constitute structural components whose size is ever decreasing, it is critical to understand the mechanical properties of single crystal silicon from precise measurements of load and displacement using microscopic sample in sub-micron and macroscopic scales. Here, the mechanical properties of single crystal silicon were precisely evaluated by bending tests at room temperature using microcantilever beam specimens having a several micron size. The microcantilever beam specimens were prepared using a focused ion beam technique, followed by loading the tip of the specimens. The smaller specimens deformed nonlinearly and then fractured. The unloaded specimen after nonlinear deformation showed permanent strain and many dislocations close to the region where high tensile stress was applied. This means that the nonlinear stress–strain relationship in the very high bending stress is determined by plastic deformation controlled by dislocation despite occurring at room temperature. The bending strength increased with a decrease in specimen size, and the smallest specimens had close to ideal strength. The size of the region where the dislocations accumulated in high density corresponded to the flaw size estimated from the fracture mechanics. This means that the bending strength of the microcantilever beam specimens of silicon is dominated by newly generated defects resulting from dislocations; in other words, the size effect of bending strength of silicon at the micrometer scale is controlled by the accumulation of newly formed dislocations because the dense dislocation region should be lower in a smaller-sized specimen.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Force Microscopy Techniques and Applications · Mechanical and Optical Resonators · Nanowire Synthesis and Applications
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References (64)
Show source-provided references
1. Chen W, Liu Y, Wu J, Chen Q, Zhao Y, Wang Y, Du X (2019) High-efficient solar cells textured by Cu/Ag-cocatalyzed chemical etching on diamond wire sawing multicrystalline silicon. ACS Appl Mater Interfaces 11:10052–1005810.1021/acsami.9b00724 ↗
2. Xu ZL, Liu X, Luo Y, Zhou L, Kim JK (2017) Nanosilicon anodes for high performance rechargeable batteries. Prog Mater Sci 90:1–4410.1016/j.pmatsci.2017.07.003 ↗
3. Harpak N, Davidi G, Schneier D, Menkin S, Mados E, Golodnitsky D, Peled E, Patolsky F (2019) Large-scale self-catalyzed spongelike silicon nano-network-based 3D anodes for high-capacity lithium-ion batteries. Nano Lett 19:1944–195410.1021/acs.nanolett.8b05127 ↗
4. Pandolfi S, Lecuna CR, Godec YL, Baptiste B, Menguy N, Lazzeri M, Gervais C, Spektor K, Crichton WA, Kurakevych OO (2018) Nature of hexagonal silicon forming via high-pressure synthesis: nanostructured hexagonal 4H polytype. Nano Lett 18:5989–599510.1021/acs.nanolett.8b02816 ↗
5. Asano K, Tang H, Chen CY, Nagoshi T, Chang TFM, Yamane D, Konishi T, Machida K, Masu K, Sone M (2018) Promoted bending strength in micro-cantilevers composed of nanograined gold toward MEMS applications. Microel Eng 196:20–2410.1016/j.mee.2018.04.021 ↗
6. Tang H, Hashigata K, Chang TFM, Chen CY, Nagoshi T, Yamane D, Konishi T, Machida K, Masu K, Sone M (2018) Sample size effect on micro-mechanical properties of gold electroplated with dense carbon dioxide. Surf Coat Technol 350:1065–107010.1016/j.surfcoat.2018.02.041 ↗
7. Dehm G, Jaya BN, Raghavan R, Kirchlechner C (2018) Overview on micro- and nanomechanical testing: new insights in interface plasticity and fracture at small length scales. Acta Mater 142:248–28210.1016/j.actamat.2017.06.019 ↗
8. Ramezany A, Pourkamali S (2018) Ultrahigh frequency nanomechanical piezoresistive amplifiers for direct channel-selective receiver front-ends. Nano Lett 18:2551–255610.1021/acs.nanolett.8b00242 ↗
9. Lu YW, Shieh J, Tsai FY (2016) Induction of ferroelectricity in nanoscale ZrO2/HfO2 bilayer thin films on Pt/Ti/SiO2/Si substrates. Acta Mater 115:68–7510.1016/j.actamat.2016.05.029 ↗
10. Schlich FF, Spolenak R (2016) Size- and phase-dependent mechanical properties of ultrathin Si films on polyimide substrates. Acta Mater 110:122–13010.1016/j.actamat.2016.03.028 ↗
11. Cook RF (2006) Strength and sharp contact fracture of silicon. J Mater Sci 41:841–872. https://doi.org/10.1007/s10853-006-6567-y10.1007/s10853-006-6567-y ↗
12. Jadaan OM, Nemeth NN, Bagdahn J, Sharpe WN Jr (2003) Probabilistic Weibull behavior and mechanical properties of MEMS brittle materials. J Mater Sci 38:4087–4113. https://doi.org/10.1023/A:102631730337710.1023/A:1026317303377 ↗
13. Hauch JA, Holland D, Marder MP, Swinney HL (1999) Dynamic fracture in single crystal silicon. Phys Rev Lett 82(19):2823–282610.1103/PhysRevLett.82.3823 ↗
14. Lawn B (1975) Fracture in brittle solids. Cambridge University Press, Cambridge
15. Mier JGMV, Vliet MRAV (2003) Influence of microstructure of concrete on size/scale effects in tensile fracture. Eng Fract Mech 70:2281–230610.1016/S0013-7944(02)00222-9 ↗
16. Östlund F, Malyska KR, Leifer K, Hale L, Tang Y, Ballarini R, Gerberich W, Michler J (2009) Brittle-to-ductile transition in uniaxial compression of silicon pillars at room temperature. Adv Funct Mater 19:2439–244410.1002/adfm.200900418 ↗
17. Wang YC, Zhang W, Wang LY, Zhuang Z, Ma E, Li J, Shan ZW (2016) In situ TEM study of deformation-induced crystalline-to-amorphous transition in silicon. NPG Asia Mater 8:e29110.1038/am.2016.92 ↗
18. Wessel K, Alexsander H (1977) On the mobility of partial dislocations in silicon. Philos Mag 35(6):1523–153610.1080/14786437708232975 ↗
19. Nishino Y, Saka H, Imura T (1984) Temperature dependence of friction force acting on dislocations in silicon crystals. J Mater Sci 19:245–253. https://doi.org/10.1007/BF0240313110.1007/BF02403131 ↗
20. Izumi S, Ohta H, Takahashi C, Suzuki T, Saka H (2010) Shuffle-set dislocation nucleation in semiconductor silicon device. Philos Mag Lett 90(10):707–71410.1080/09500839.2010.501767 ↗
21. Castaing J, Veyssiere P, Kubin L, Rabier J (1981) The plastic deformation of silicon between 300 and 600 °C. Philos Mag 44(6):1407–141310.1080/01418618108235821 ↗
22. Okuno T, Saka H (2013) Electron microscope study of dislocations introduced by deformation in a Si between 77 and 873 K. J Mater Sci 48:115–124. https://doi.org/10.1007/s10853-012-6860-x10.1007/s10853-012-6860-x ↗
23. Asaoka K, Umeda T, Arai S, Saka H (2005) Direct evidence for shuffle dislocations in Si activated by indentations at 77K. Mater Sci Eng A 400–401:93–9610.1016/j.msea.2005.03.053 ↗
24. Ray I, Cockayne D (1971) The dissociation of dislocations in silicon. Proc R Soc A 325:543–554
25. Rabier J (2007) High-stress plasticity and the core structures of dislocations in silicon. Phys Stat Sol 204(7):2248–225510.1002/pssa.200675456 ↗
26. Saka H, Yamamoto Y, Arai S, Kuroda K (2006) In-situ TEM observation of transformation of dislocations from shuffle to glide sets in Si under supersaturation of interstitials. Philos Mag 86:4841–485010.1080/14786430600764898 ↗
27. William WG, Douglas DS, Aaron RB, Natalia IT (2011) A brittleness transition in silicon due to scale. J Mater Res 27(3):552–561
28. Elhebeary M, Saif MTA (2018) A novel MEMS stage for in situ thermomechanical testing of single crystal silicon microbeams under bending. Extreme Mech Lett 23:1–810.1016/j.eml.2018.06.009 ↗
29. Balila NJ, Jeffrey MW, Juri W, James PB, Rafael S, Johann M, Christoph K, Gerhard D (2016) Microscale fracture behavior of single crystal silicon beams at elevated temperatures. Nano Lett 16:7597–760310.1021/acs.nanolett.6b03461 ↗
30. Wang B, Zhang Z, Chang K, Cui J, Rosenkranz A, Yu J, Lin CT, Chen G, Zang K, Luo J, Jiang N, Guo D (2018) New deformation-induced nanostructure in silicon. Nano Lett 18:4611–461710.1021/acs.nanolett.8b01910 ↗
31. Tsuchiya T, Hemmi T, Suzuki J, Hirai Y, Tabata O (2018) Tensile strength of silicon nanowires batch-fabricated into electrostatic MEMS testing device. Appl Sci 8:88010.3390/app8060880 ↗
32. Fugii T, Sudoh K, Inoue S, Namazu T (2016) Design and development of electrostatically driven uniaxial tensile test device for silicon nanowires. Sens Mater 28(2):89–102
33. Sundararajan S, Bhushan B (2002) Devlopment of AFM-based technique to measure mechanical properties of nanoscale structures. Sens Actuat A 101:338–35110.1016/S0924-4247(02)00268-6 ↗
34. Sundararajan S, Bhushan B, Namazu T, Isono Y (2002) Mechanical property measurements of nanoscale structures using an atomic force microscope. Sens Actuat A 91:111–118
35. Fujii T, Sudoh K, Sakakihara S, Naito M, Inoue S, Namazu T (2013) Nano-scale tensile testing and sample preparation techniques for silicon nanowires. Jpn J Appl Phys 52:11011810.7567/JJAP.52.110118 ↗
36. Kang W, Saif MTA (2013) In situ study of size and temperature dependent brittle-to-ductile transition in single crystal silicon. Adv Funct Mater 23:713–71910.1002/adfm.201201992 ↗
37. Tsuchiya T, Hemmi T, Suzuki J, Hirai Y, Tabata O (2016) Tensile fracture of integrated single-crystal silicon nanowire using MEMS electrostatic testing device. Proc Struct Integr 2:1405–1412
38. Goel S, Kovalchenko A, Stukowski A, Cross G (2016) Influence of microstructure on the cutting behaviour of silicon. Acta Mater 105:464–47810.1016/j.actamat.2015.11.046 ↗
39. Tang DM, Ren CL, Wang MS, Wei X, Kawamoto N, Liu C, Bando Y, Mitome M, Fukata N, Golberg D (2012) Mechanical properties of Si nanowires as revealed by in situ transmission electron microscopy and molecular dynamics simulations. Nano Lett 12:1898–190410.1021/nl204282y ↗
40. Wang L, Zheng K, Zhang Z, Han X (2011) Direct atomic-scale imaging about the mechanisms of ultralarge bent straining in Si nanowires. Nano Lett 11:2382–238510.1021/nl200735p ↗
41. Uesugi A, Hirai Y, Tsuchiya T, Tabata O (2016) Effect of crystallographic orientations on fractures and slip occurrences at 500 °C of (110) single crystal silicon microstructures. Proc Struct Integr 2:1413–1420
42. Fujita S, Tatami J, Yahagi T, Takahashi T, Iijima M (2017) Degradation evaluation of Si3N4 ceramic surface layer in contact with molten Al using microcantilever beam specimens. J Eur Ceram Soc 37:4351–435610.1016/j.jeurceramsoc.2017.01.016 ↗
43. Tatami J, Katayama M, Ohnishi M, Yahagi T, Takahashi T, Horiuchi T, Yokouchi M, Yasuda K, Kim DK, Wakihara T, Komeya K (2015) Local fracture toughness of Si3N4 ceramics measured using single-edge notched microcantilever beam specimens. J Am Ceram Soc 98(3):965–97110.1111/jace.13391 ↗
44. Camposivan E, Anglada M (2016) Size and plasticity effects in zirconia micropillars compression. Acta Mater 103:882–89210.1016/j.actamat.2015.10.047 ↗
45. Wheeler JM, Ranghavan R, Wehrs J, Zhang Y, Erni R, Michler J (2016) Approaching the limits of strength: measuring the uniaxial compressive strength of diamond at small scales. Nano Lett 16:812–81610.1021/acs.nanolett.5b04989 ↗
46. Lu Y, Shu X, Liao X (2018) Size effect for achieving high mechanical performance body-centered cubic metals and alloys. Sci China Mater 61(12):1495–151610.1007/s40843-018-9313-2 ↗
47. Yamaguchi H, Tatami J, Iijima M (2019) Measurement of mechanical properties of BaTiO3 layer in multilayered ceramic capacitor using a microcantilever beam specimen. J Ceram Soc Jpn 127(6):335–33810.2109/jcersj2.19030 ↗
48. Colas G, Serles P, Saulot A, Filleter T (2019) Strength measurement and rupture mechnisms of a micron thick nanocrystalline MoS2 coating using AFM based micro-bending test. J Mech Phys Solids 128:151–16110.1016/j.jmps.2019.04.007 ↗
49. Yoshida K, Nishiyama N, Sone M, Wakai F (2017) Strength and toughness of nanocrystalline SiO2 stishovite toughened by fracture-induced amorphization. Acta Mater 124:316–32410.1016/j.actamat.2016.11.014 ↗
50. Ronan H, Thierry B, Thierry D, Armel DM, Isabelle ZA, Jean MG, Cyril L, Sylvain M (2019) Local fracture toughness measurements in polycrystalline cubic zirconia using micro-cantilever bending tests. Mech Mater 136:10308610.1016/j.mechmat.2019.103086 ↗
51. Brantley WA (1973) Calculated elastic constants for stress problems associated with semiconductor devices. J Appl Phys 44(1):534–53510.1063/1.1661935 ↗
52. Saka H (2017) Classical theory of crystal dislocations: from iron to gallium nitride. World Scientific, Singapore10.1142/9922 ↗
53. Han XD, Zhang YF, Zheng K, Zhang XN, Zhang Z, Hao YJ, Guo XY, Yuan J, Wang ZL (2007) Low-temperature in situ large strain plasticity of ceramic SiC nanowires and its atomic-scale mechanism. Nano Lett 7(2):452–45710.1021/nl0627689 ↗
54. Rabier J, Renault PO, Eyidi D, Demenet JL, Chen J, Couvy H, Wang L (2007) Low-temperature in situ large strain plasticity of ceramic SiC nanowires and its atomic-scale mechanism. Phys Stat Sol C 4:3110
55. Dubois SMM, Rignanese GM, Pardoen T, Charlier JC (2006) Ideal strength of silicon: an ab initio study. Phys Rev B 74:23520310.1103/PhysRevB.74.235203 ↗
56. Sumigawa T, Ashida S, Tanaka S, Sanada K, Kitamura T (2015) Fracture toughness of silicon in nanometer-scale singular stress field. Eng Fract Mech 150:161–16710.1016/j.engfracmech.2015.05.054 ↗
57. Gallo P, Yan Y, Sumigawa T, Kitamura T (2018) Fracture behavior of nanoscale notched silicon beams investigated by the theory of critical distances. Adv Theory Simul 1:170000610.1002/adts.201700006 ↗
58. Gallo P, Sumigawa T, Kitamura T (2019) Experimental characterization at nanoscale of single crystal silicon fracture toughness. Frattura ed Integrità Strutturale 47:408–415
59. Kunio H, Shinji T, Yasunori O, Tomozo N (1991) Fracture toughness of single crystal silicon. J Soc Mater Sci Jpn 40(451):405–41010.2472/jsms.40.405 ↗
60. Balila NJ, Christoph K, Gerhard D (2014) Can microscale fracture tests provide reliable fracture toughness values? A case study in silicon. J Mater Res 30(5):686–698
61. Ando T, Li X, Nakano S, Kasai T, Tanaka H, Shikida M, Sato K (2005) Fracture toughness measurement of thin film silicon. Fatigue Fract Eng Mater Struct 28:687–69410.1111/j.1460-2695.2005.00920.x ↗
62. Motz C, Schöberl T, Pippan R (2005) Mechanical properties of micro-sized copper bending beams machined by the focused ion beam technique. Acta Mater 53:4269–427910.1016/j.actamat.2005.05.036 ↗
63. Jiang BC, Zhao DW, Wang BQ, Zhao HJ, Liu YH, Lu XC (2019) Flatness maintenance and roughness reduction of silicon mirror in chemical mechanical polishing process. Sci China Technol Sci. https://doi.org/10.1007/s11431-018-9414-610.1007/s11431-018-9414-6 ↗
64. Johannes W (1996) Dislocation based fracture mechanics. World Scientific, Singapore