Surface stress induced by interactions of adsorbates and its effect on deformation and frequency of microcantilever sensors

Journal of the Mechanics and Physics of Solids

Volumn 57, Issue 8, 2009, Pages 1254-1266

  Yi, X ^a   Duan, H L ^a  

^a Peking University   (China)

Author keywords

Adsorption; Cantilever sensor; Coulomb interaction; Surface stress; van der Waals interaction

Indexed keywords

ADSORBATE INTERACTIONS; ADSORPTION EFFECT; CANTILEVER SENSOR; CHEMICAL INTERACTIONS; DESIGN AND APPLICATION; EIGEN-STRAIN; MECHANICAL RESPONSE; MICRO CANTILEVER SENSORS; MICRO-CANTILEVERS; MOLECULAR LEVELS; NANO-DEVICES; NANO-MATERIALS; QUANTITATIVE RELATIONS; RESONANCE FREQUENCIES; RESONANCE FREQUENCY SHIFT; SOLID SURFACE; SURFACE STRESS; THEORETICAL FRAMEWORK; VAN DER WAALS; VAN DER WAALS INTERACTION;

ADSORBATES; ADSORPTION; ATOMIC FORCE MICROSCOPY; CHEMICAL SENSORS; COMPOSITE MICROMECHANICS; COULOMB INTERACTIONS; MACHINE DESIGN; NANOCANTILEVERS; NANOSTRUCTURED MATERIALS; NATURAL FREQUENCIES; STRESSES; SURFACE PROPERTIES; VAN DER WAALS FORCES;

SURFACE CHEMISTRY;

EID: 67649354074     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2009.04.010     Document Type: Article

References (43)

1. Berger R., Delamarche E., Lang H.P., Gerber C., Gimzewski J.K., Meyer E., and Güntherodt H.-J. Surface stress in the self-assembly of alkanethiols on gold. Science 276 (1997) 2021-2024
2. Chakarova-Käck S.D., Schröder E., Lundqvist B.I., and Langreth D.C. Application of van der Waals density functional to an extended system: adsorption of benzene and naphthalene on graphite. Phys. Rev. Lett. 96 (2006) 146107-1-146107-4
3. Chen G.Y., Thundat T., Wachter E.A., and Warmack R.J. Adsorption-induced surface stress and its effects on resonance frequency of microcantilevers. J. Appl. Phys. 77 (1995) 3618-3622
4. Chun D.W., Hwang K.S., Eom K., Lee J.H., Cha B.H., Lee W.Y., Yoon D.S., and Kim T.S. Detection of the Au thin-layer in the Hz per picogram regime based on the microcantilevers. Sensors Actuators A 135 (2007) 857-862
5. Dareing D.W., and Thundat T. Simulation of adsorption-induced stress of a microcantilever sensor. J. Appl. Phys. 97 (2005) 043526-1-043526-5
6. Dorignac J., Kalinowski A., Erramilli S., and Mohanty P. Dynamical response of nanomechanical oscillators in immiscible viscous fluid for in vitro biomolecular recognition. Phys. Rev. Lett. 96 (2006) 186105-1-186105-4
7. Duan H.L., Wang J., Huang Z.P., and Karihaloo B.L. Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress. J. Mech. Phys. Solids 53 (2005) 1574-1596
8. Freund L.B. Some elementary connections between curvature and mismatch strain in compositionally graded thin films. J. Mech. Phys. Solids 44 (1996) 723-736
9. Godin, M., 2004. Surface stress, kinetics, and structure of alkanethiol self-assembled monolayers. Ph.D. Thesis, McGill University, Canada.
10. Grönbeck H., Curioni A., and Andreoni W. Thiols and disulfides on the Au(1 1 1) surface: the headgroup-gold interaction. J. Am. Chem. Soc. 122 (2000) 3839-3842
11. Grossmann A., Erley W., Hannon J.B., and Ibach H. Giant surface stress in heteroepitaxial films: invalidation of a classical rule in epitaxy. Phys. Rev. Lett. 77 (1996) 127-130
12. Gurtin M.E., Markenscoff X., and Thurston R.N. Effect of surface stress on the natural frequency of thin crystals. Appl. Phys. Lett. 29 (1976) 529-530
13. Gurtin M.E., and Murdoch A.I. A continuum theory of elastic material surfaces. Arch. Ration. Mech. Anal. 57 (1975) 291-323
14. Hsueh C.H., and Evans A.G. Residual stresses in metal/ceramic bonded strips. J. Am. Ceram. Soc. 68 (1985) 241-248
15. Huang G.Y., Gao W., and Yu S.W. Model for the adsorption-induced change in resonance frequency of a cantilever. Appl. Phys. Lett. 89 (2006) 043506-1-043506-3
16. Huang M., Rugheimer P., Lagally M.G., and Liu F. Bending of nanoscale ultrathin substrates by growth of strained thin films and islands. Phys. Rev. B 72 (2005) 085450-1-085450-6
17. Hwang K.S., Eom K., Lee J.H., Chun D.W., Cha B.H., Yoon D.S., Kim T.S., and Park J.H. Dominant surface stress driven by biomolecular interactions in the dynamical response of nanomechanical microcantilevers. Appl. Phys. Lett. 89 (2006) 173905-1-173905-3
18. Ilic B., Czaplewski D., Craighead H.G., Neuzil P., Campagnolo C., and Batt C. Mechanical resonant immunospecific biological detector. Appl. Phys. Lett. 77 (2000) 450-452
19. Israelachvili J.N. Intermolecular and Surface Forces: With Applications to Colloidal and Biological Systems (1985), Academic Press, London
20. Kohn W., and Lau K.H. Adatom dipole moments on metals and their interactions. Solid State Commun. 18 (1976) 553-555
21. Kramer D., Viswanath R.N., and Weissmüller J. Surface-stress induced macroscopic bending of nanoporous gold cantilevers. Nano Lett. 4 (2004) 793-796
22. Lachut M.J., and Sader J.E. Effect of surface stress on the stiffness of cantilever plates. Phys. Rev. Lett. 99 (2007) 206102-1-206102-4
23. Lagowski J., Gatos H.C., and Sproles E.S. Surface stress and the normal mode of vibration of thin crystals: GaAs. Appl. Phys. Lett. 26 (1975) 493-495
24. Lau K.H., and Kohn W. Elastic interaction of two atoms adsorbed on a solid surface. Surf. Sci. 65 (1977) 607-618
25. Li X., Shih W.Y., Aksay I.A., and Shih W.-H. Electromechanical behavior of PZT-brass unimorphs. J. Am. Ceram. Soc. 82 (1999) 1733-1740
26. Lu P., Lee H.P., Lu C., and O'Shea S.J. Surface stress effects on the resonance properties of cantilever sensors. Phys. Rev. B 72 (2005) 085405-1-085405-5
27. McFarland A.W., Poggi M.A., Doyle M.J., Bottomley L.A., and Colton J.S. Influence of surface stress on the resonance behavior of microcantilevers. Appl. Phys. Lett. 87 (2005) 053505-1-053505-3
28. Nuzzo R.G., Zegarski B.R., and Dubois L.H. Fundamental studies of the chemisorption of organosulfur compounds on Au(1 1 1). Implications for molecular self-assembly on gold surfaces. J. Am. Chem. Soc. 109 (1987) 733-740
29. Pala R.G.S., and Liu F. Determining the adsorptive and catalytic properties of strained metal surfaces using adsorption-induced stress. J. Chem. Phys. 120 (2004) 7720-7724
30. Park H.S., and Klein P.A. Surface stress effects on the resonant properties of metal nanowires: the importance of finite deformation kinematics and the impact of the residual surface stress. J. Mech. Phys. Solids 56 (2008) 3144-3166
31. Rappé A.K., Casewit C.J., Colewell K.S., Goddard III W.A., and Skiff W.M. UFF, a full periodic table force field for molecular mechanics and molecular dynamics simulations. J. Am. Chem. Soc. 114 (1992) 10024-10035
32. x micromechanical cantilever and bridge mass detectors. Rev. Sci. Instrum. 75 (2004) 3010-3015
33. Sony P., Puschnig P., Nabok D., and Ambrosch-Draxl C. Importance of van der Waals interaction for organic molecule-metal junctions: adsorption of thiophene on Cu(1 1 0) as a prototype. Phys. Rev. Lett. 99 (2007) 176401-1-176401-4
34. Stoney G.G. The tension of metallic films deposited by electrolysis. Proc. R. Soc. A 82 (1909) 172-175
35. Sun Y.X., Fang D.N., and Soh A.K. Thermoelastic damping in micro-beam resonators. Int. J. Solids Struct. 43 (2006) 3213-3229
36. Timoshenko S. Analysis of bi-metal thermostats. J. Opt. Soc. Am. 11 (1925) 233-255
37. Timoshenko S., Young D.H., and Weaver W. Vibration Problems in Engineering. fourth ed (1974), Wiley, New York
38. Wu G., Ji H., Hansen K., Thundat T., Datar R., Cote R., Hagan M.F., Chakraborty A.K., and Majumdar A. Origin of nanomechanical cantilever motion generated from biomolecular interactions. Proc. Natl. Acad. Sci. USA 98 (2001) 1560-1564
39. Yourdshahyan Y., and Rappe A.M. Structure and energetics of alkanethiol adsorption on the Au(1 1 1) surface. J. Chem. Phys. 117 (2002) 825-833
40. Zang J., Huang M., and Liu F. Mechanism for nanotube formation from self-bending nanofilms driven by atomic-scale surface-stress imbalance. Phys. Rev. Lett. 98 (2007) 146102-1-146102-4
41. Zang J., and Liu F. Theory of bending of Si nanocantilevers induced by molecular adsorption: a modified Stoney formula for the calibration of nanomechanochemical sensors. Nanotechnology 18 (2007) 405501-1-405501-4
42. Zang J., and Liu F. Modified Timoshenko formula for bending of ultrathin strained bilayer films. Appl. Phys. Lett. 92 (2008) 021905-1-021905-3
43. Zhang J.Q., Yu S.W., and Feng X.Q. Theoretical analysis of resonance frequency change induced by adsorption. J. Phys. D Appl. Phys. 41 (2008) 125306-1-125306-8