Direct Measurement of Young's Modulus of ZnO Nanowires in Air and Study of Its Surface Value

doi:10.3901/JME.2018.24.027

Abstract

Abstract: A method for measuring the resonant frequency of zinc oxide nanowires in the atmospheric environment is proposed. The nanowires are vibrated by applying a transverse alternating electric field by self-made parallel microelectrodes. AFM noncontact mode is used to make the probe and nanowire top pitch within the range of molecular forces. The probe and nanowire are synchronized under the action of molecular force. By gradually changing the frequency of the alternating electric field, the nanowires are subjected to the excitation of the frequency continuously. The position of the probe is identified by the photoelectric sensor, so that the measurement system can determine the occurrence of the nanowire resonance by judging the surge of the photoelectric sensor signal. When the resonance occurs, the frequency is the resonant frequency. According to the correspondence between resonant frequency and geometric size, the changing rule of Young's modulus of zinc oxide nanowires is obtained from the Euler Bernoulli theory. It is found that this result is not equal to the zinc oxide block material value and is not constant. Since the nanowire size is nanoscale, the thickness of the relaxation layer at the growth boundary of the nanowires has a great influence on the overall performance of the nanowires. The multiphysics coupling simulation is used to simulate the experimental process. In the simulation, a shell-core model is established, and this simulation takes into account the effect of air thermal damping. Finally, the changing rule and value of Young's modulus of the shell of zinc oxide nanowires and overall nanowires are obtained.

Key words: atmospheric environment resonance method, elastic modulus, multiphysics coupling simulation, ZnO nanowires

CLC Number:

TB383

YU Guangbin, BU Jingyuan, JIANG Chengming, SONG Jinghui. Direct Measurement of Young's Modulus of ZnO Nanowires in Air and Study of Its Surface Value[J]. Journal of Mechanical Engineering, 2018, 54(24): 27-33.

References

[1] MA Ye, ZHENG Qiang, LIU Yang, et al. Self-powered one-stop and multifunctional implantable triboelectric active sensor for real-time biomedical monitoring[J]. Nano Letters, 2016, 16(10):6042-6051.
[2] WANG Xianli, ZHANG Hanlu, WANG Zhonglin, et al. Self-powered high-resolution and pressure-sensitive triboelectric sensor matrix for real-time tactile mapping[J]. Advanced Materials, 2016, 28(15):2896-2903.
[3] ZHANG Hulin, Yang Ya, WANG Zhonglin, et al. Triboelectric nanogenerator for harvesting vibration energy in full space and as self-powered acceleration sensor[J]. Advanced Functional Materials, 2014, 24(10):1401-1407.
[4] YAO Haiyan, YUN Guohong, BAI Narsu, et al. Surface elasticity effect on the size-dependent elastic property of nanowires[J]. Journal of Applied Physics, 2012, 111(8):3506.
[5] 戴冰,于广滨,邵俊鹏,等. 单晶体氧化锌微/纳米带电阻与长度的特性研究[J]. 机械工程学报, 2016, 52(12):199-204. DAI Bing, YU Guangbin, SHAO Junpeng, et al. Properties of single crystal zinc oxide micro/nanobelt with resistance and length[J]. Journal of Mechanical Engineering, 2016, 52(12):199-204.
[6] WANG Lifen, TIAN Xuezeng, BAI Xuedong, et al. Dynamic nanomechanics of zinc oxide nanowires[J]. Applied Physics Letters, 2012, 100, 16:3110.
[7] SONG Jinhui, WANG Xudong, WANG Zhonglin, et al. Elastic property of vertically aligned nanowires[J]. Nano Letters, 2005, 5(10):1954-1958.
[8] CHEN C Q, YAN Y J. Size dependence of young's modulus in ZnO nanowires[J]. Physical Review Letters, 2006, 96(07):5505.
[9] RAVI Agrawal, PENG Bei. Elasticity size effects in ZnO nanowires-a combined experimental-computational approach[J]. Nano Letters, 2008, 8(11):3668-3674.
[10] JING Dayong, TIAN Chunguang, LIU Qingfei. Young's modulus of individual ZnO nanowires[J]. Materials Science & Engineering A, 2014, 610:1-4.
[11] NAPOLI M, BAMIEH B, TURNER K. A capacitive microcantilever:modelling, validation, and estimation using current measurements[J]. Journal of Dynamic Systems, Measurement, and Control, 2004, 126(2):319-326.
[12] GROSS, L. Recent advances in submolecular resolution with scanning probe microscopy[J]. Nature Chemistry, 2011, 3(4):273-278.
[13] CHRISTIAN W, WAGNER C, TEMIROV R. Direct imaging of intermolecular bonds in scanning tunneling microscopy[J]. Journal of the American Chemical Society, 2010, 132(34), 11864-11865.
[14] JONES J. On the determination of molecular fields. ii. from the equation of state of a gas[J]. Proceedings of the Royal Society of London, 1924, 106(738):463-477.
[15] GROSS L, MOHN F, MOLL N, et al. The chemical structure of a molecule resolved by atomic force microscopy[J]. Science, 2009, 325(5944):1110-1114.
[16] PONCHARAL P, WANG Zhonglin, UGARTE D, et al. Electrostatic deflections and electromechanical resonances of carbon nanotubes[J]. Science, 1999, 283:1513-1516.
[17] FUKUMA T, KILPATRICK J I, JARVIS S P. Phase modulation atomic force microscope with true atomic resolution[J]. Review of Scientific Instruments, 2006, 77(12):123703.
[18] BLEVINS R D. Formulas for natural frequency and mode shape[M]. New York:Van Nostrand Reinhold, 1979.
[19] JAFFE J E, HARRISON N M, HESS A C. Ab Initio study of ZnO (101-0) surface relaxation[J]. Physical Review B, 1994, 49(16):11153-11158.
[20] DUKE C B, MAYER R J, POTON A, et al. Calculation of Low-energy-electron-diffration intensities from ZnO (101-0). Ⅱ. influence of calculational procedure, model potential, and second-layer structural distortions[J].Physical Review B, 1978, 18(8):4225-4240.
[21] SCHRÖER P, KRÜGER P, POLLMANN P. First-principles calculation of the electronic structure of the wurtzite semiconductors ZnO and ZnS[J]. Physical Review B, 1993, 47(12):6971-6980.
[22] STAEMMLER V, FINK K, MEYER B. Stabilization of polar ZnO surfaces:validating microscopic models by using co as a probe molecule[J]. Physical Review Letters, 2003, 90(10):106102.
[23] NEWNHAM R E, Structure-property relations[M]. New York:Springer-Verlag, 1975.
[24] HARRISON W A. Electronic structure and the properties of solids:the physical of the chemical bond[M]. San Francisco:Freeman, 1989.
[25] SUN C Q, TAY B K, ZENG X T, et al. Bond-orderbond-length-bond-strength (bond-OLS) correlation mechanism for the shape-and-size dependence of a nanosolid[J]. Journal of Physics:Condensed Matter, 2002, 14(34):7781-7795.
[26] WANG Penglei, FU Yongming, YU Binwei, et al. Realizing room-temperature self-powered ethanol sensing of ZnO nanowire arrays by combining their piezoelectric, photoelectric and gas sensing characteristics[J]. Journal of Materials Chemistry A, 2015, 3(7):3529-3535.