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Volumn 68, Issue 26, 1996, Pages 3814-3816

Viscous drag measurements utilizing microfabricated cantilevers

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Indexed keywords


EID: 0000871675     PISSN: 00036951     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.116626     Document Type: Article
Times cited : (160)

References (25)
  • 1
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    • Isaac Newton, Philosophiae Naturalis Principia Mathematica, 1687.
  • 2
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    • R. C. Binder, Fluid Mechanics, 3rd ed. (Prentice-Hall, New York, 1955)
    • R. C. Binder, Fluid Mechanics, 3rd ed. (Prentice-Hall, New York, 1955).
  • 3
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    • V. L. Streeter, Fluid Mechanics (McGraw-Hill, New York, 1962)
    • V. L. Streeter, Fluid Mechanics (McGraw-Hill, New York, 1962).
  • 4
    • 21544478291 scopus 로고    scopus 로고
    • R. H. F. Pao, Fluid Mechanics (Wiley, New York, 1961)
    • R. H. F. Pao, Fluid Mechanics (Wiley, New York, 1961).
  • 5
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    • F. J. Baley, An Introduction to Fluid Dynamics (G. Allen and Unwin, New York, London, 1958)
    • F. J. Baley, An Introduction to Fluid Dynamics (G. Allen and Unwin, New York, London, 1958).
  • 10
    • 0002000240 scopus 로고    scopus 로고
    • G. Y. Chen, R. J. Warmack, P. I. Oden, and T. Thundat, J. Vac. Sci. Technol. B 14, 1313 (1996)
    • G. Y. Chen, R. J. Warmack, P. I. Oden, and T. Thundat, J. Vac. Sci. Technol. B 14, 1313 (1996).
  • 11
    • 0027403888 scopus 로고    scopus 로고
    • H.-J. Butt, P. Siedle, K. Seifert, K. Fendler, T. Seeger, E. Bamberg, A. L. Weisenhorn, K. Goldie, and A. Engel, J. Microsc. 169, 75 (1993)
    • H.-J. Butt, P. Siedle, K. Seifert, K. Fendler, T. Seeger, E. Bamberg, A. L. Weisenhorn, K. Goldie, and A. Engel, J. Microsc. 169, 75 (1993).
  • 12
    • 34347209835 scopus 로고    scopus 로고
    • H.-J. Butt and M. Jaschke, Nanotechnology 6, 1 (1995)
    • H.-J. Butt and M. Jaschke, Nanotechnology 6, 1 (1995).
  • 14
    • 21544458865 scopus 로고    scopus 로고
    • D. Sarid, Scanning Force Microscopy (Oxford University Press, New York, 1991)
    • D. Sarid, Scanning Force Microscopy (Oxford University Press, New York, 1991).
  • 15
    • 21544440996 scopus 로고    scopus 로고
    • E. Meyer and H. Heinzelmann, Scanning Tunneling Microscopy II, edited by R. Wiesendanger and H.-J. Güntherodt (Springer, New York, 1992)
    • E. Meyer and H. Heinzelmann, Scanning Tunneling Microscopy II, edited by R. Wiesendanger and H.-J. Güntherodt (Springer, New York, 1992).
  • 18
    • 21544436117 scopus 로고    scopus 로고
    • Photodetector ''A'' using Digital Instruments labeling scheme for the Bioscope
    • Photodetector ''A'' using Digital Instruments labeling scheme for the Bioscope.
  • 19
    • 21544445387 scopus 로고    scopus 로고
    • Model SR760, Stanford Research Systems, Sunnyvale, CA. It should be noted that there is a 100 kHz bandwidth of this instrument, and therefore, it was necessary to choose cantilevers that have a resonance response peak in this frequency range for the desired viscous medium. One lever in this study had a resonance response peak in air of 106 kHz (outside the bandwidth of the FFT system), but typically, there is a factor of 3-4 decrease in this frequency when placed in pure water allowing for liquid measurements with this lever
    • Model SR760, Stanford Research Systems, Sunnyvale, CA. It should be noted that there is a 100 kHz bandwidth of this instrument, and therefore, it was necessary to choose cantilevers that have a resonance response peak in this frequency range for the desired viscous medium. One lever in this study had a resonance response peak in air of 106 kHz (outside the bandwidth of the FFT system), but typically, there is a factor of 3-4 decrease in this frequency when placed in pure water allowing for liquid measurements with this lever.
  • 20
    • 21544478946 scopus 로고    scopus 로고
    • As an example, for the MESP Magnetic Bar cantilever, a sensitivity of 139.99 nm/V was found for the ''A'' segment of the Bioscopes split photodetector in solution and a sensitivity of 243.49 nm/V for the air calibration. The dramatic differences in these calibration sensitivities is due to the variation in the index of refraction at the interface between the glass confinement cell and either air or solution. This difference results in an enhancement of the deflection angles of the reflected laser beam off the cantilever in the case of water compared to air
    • As an example, for the MESP Magnetic Bar cantilever, a sensitivity of 139.99 nm/V was found for the ''A'' segment of the Bioscopes split photodetector in solution and a sensitivity of 243.49 nm/V for the air calibration. The dramatic differences in these calibration sensitivities is due to the variation in the index of refraction at the interface between the glass confinement cell and either air or solution. This difference results in an enhancement of the deflection angles of the reflected laser beam off the cantilever in the case of water compared to air.
  • 21
    • 21544444812 scopus 로고    scopus 로고
    • R. J. Donnelly, in A Physicist's Desk Reference, 2nd ed., edited by H. L. Anderson (AIP, New York, 1989), p. 200
    • R. J. Donnelly, in A Physicist's Desk Reference, 2nd ed., edited by H. L. Anderson (AIP, New York, 1989), p. 200.
  • 22
    • 21544468416 scopus 로고    scopus 로고
    • Note: Strictly speaking, resonance frequency is for a system in vacuum conditions (i.e., without a drag term in the differential equation). When a viscous drag or damping is added to the systems, then the response amplitude maximum for the system can be referred to as the peak resonance response
    • Note: Strictly speaking, resonance frequency is for a system in vacuum conditions (i.e., without a drag term in the differential equation). When a viscous drag or damping is added to the systems, then the response amplitude maximum for the system can be referred to as the peak resonance response.
  • 23
    • 21544443967 scopus 로고    scopus 로고
    • A. Sommerfeld, Lectures on Theoretical Physics, Vol. 1: Mechanics (Academic, New York, 1942)
    • A. Sommerfeld, Lectures on Theoretical Physics, Vol. 1: Mechanics (Academic, New York, 1942).
  • 24
    • 21544463820 scopus 로고    scopus 로고
    • L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, New York, 1959)
    • L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, New York, 1959).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.