Applied Physics B

, Volume 107, Issue 2, pp 375–378 | Cite as

Videomicroscopy calibration of optical tweezers by position autocorrelation function analysis

Article

Abstract

We present a simple method to calibrate optical tweezers by using only videomicroscopy to measure the position autocorrelation function of the trapped bead in the potential well of the tweezers. To accomplish this task, we use a high-speed camera with ∼500 fps (frames per second), which provides a precise measurement of the relaxation time of the bead Brownian fluctuations. We also study the variation of the trap stiffness as a function of some parameters of interest such as the laser power and the distance from the bead center to the microscope coverslip, showing that the presented method returns precise results.

References

  1. 1.
    A. Ashkin, Phys. Rev. Lett. 24, 156 (1970) ADSCrossRefGoogle Scholar
  2. 2.
    A. Ashkin, J.M. Dziedzic, Science 235, 1517 (1987) ADSCrossRefGoogle Scholar
  3. 3.
    M.D. Wang, H. Yin, R. Landick, J. Gelles, S.M. Block, Biophys. J. 72, 1335 (1997) ADSCrossRefGoogle Scholar
  4. 4.
    S. Mohanty, K. Mohanty, P. Gupta, Opt. Express 13, 4745 (2005) ADSCrossRefGoogle Scholar
  5. 5.
    A.S. Khalil, J.M. Ferrer, R.R. Brau, S.T. Kottmann, C.J. Noren, M.J. Lang, A.M. Belcher, Proc. Natl. Acad. Sci. USA 104, 4892 (2007) ADSCrossRefGoogle Scholar
  6. 6.
    K.C. Neuman, S.M. Block, Rev. Sci. Instrum. 75, 2787 (2004) ADSCrossRefGoogle Scholar
  7. 7.
    J.R. Moffitt, Y.R. Chemla, S.B. Smith, C. Bustamante, Annu. Rev. Biochem. 77, 205 (2008) CrossRefGoogle Scholar
  8. 8.
    M.S. Rocha, Am. J. Phys. 77, 704 (2009) ADSCrossRefGoogle Scholar
  9. 9.
    L.P. Ghislain, N.A. Switz, W.W. Webb, Rev. Sci. Instrum. 65, 2762 (1994) ADSCrossRefGoogle Scholar
  10. 10.
    R.M. Simmons, J.T. Finer, S. Chu, J.A. Spudich, Biophys. J. 70, 1813 (1996) ADSCrossRefGoogle Scholar
  11. 11.
    N.B. Viana, M.S. Rocha, O.N. Mesquita, A. Mazolli, P.A. Maia Neto, H.M. Nussenzveig, Phys. Rev. E 75, 021914 (2007) ADSCrossRefGoogle Scholar
  12. 12.
    N.B. Viana, R.T.S. Freire, O.N. Mesquita, Phys. Rev. E 65, 041921 (2002) ADSCrossRefGoogle Scholar
  13. 13.
    M.E.J. Friese, H. Rubinsztein-Dunlop, N.R. Heckenberg, E.W. Dearden, Appl. Opt. 35, 7112 (1996) ADSCrossRefGoogle Scholar
  14. 14.
    M.W. Allersma, F. Gittes, M.J. deCastro, R.J. Stewart, C.F. Schmidt, Biophys. J. 74, 1074 (1998) ADSCrossRefGoogle Scholar
  15. 15.
    F. Gittes, C.F. Schmidt, Opt. Lett. 23, 7 (1998) ADSCrossRefGoogle Scholar
  16. 16.
    S.F. Tolić-Nørrelykke, E. Schafferb, J. Howard, F.S. Pavone, F. Julicher, H. Flyvbjerg, Rev. Sci. Instrum. 77, 103101 (2006) ADSCrossRefGoogle Scholar
  17. 17.
    J.P. Staforelli, E. Vera, J.M. Brito, P. Solano, S. Torres, C. Saavedra, Opt. Express 18, 3322 (2010) ADSCrossRefGoogle Scholar
  18. 18.
    K. Berg-Sørensen, H. Flyvbjerg, Rev. Sci. Instrum. 75, 594 (2004) ADSCrossRefGoogle Scholar
  19. 19.
    M. Polin, K. Ladavac, S.-H. Lee, Y. Roichman, D.G. Grier, Opt. Express 13, 5831 (2005) ADSCrossRefGoogle Scholar
  20. 20.
    J.C. Crocker, D.G. Grier, J. Colloid Interface Sci. 179, 298 (1996) CrossRefGoogle Scholar
  21. 21.
    G.M. Gibson, J. Leach, S. Keen, A.J. Wright, M.J. Padgett, Opt. Express 16, 14561 (2008) ADSCrossRefGoogle Scholar
  22. 22.
    S. Keen, A. Yao, J. Leach, R. Di Leonardo, C. Saunter, G. Love, J. Cooper, M. Padgett, Lab Chip 9, 2059 (2009) CrossRefGoogle Scholar
  23. 23.
    M.D. Carbajal-Tinoco, R. Lopez-Fernandez, J.L. Arauz-Lara, Phys. Rev. Lett. 99, 138303 (2007) ADSCrossRefGoogle Scholar
  24. 24.
    S. Velasco, Eur. J. Phys. 6, 259 (1985) CrossRefGoogle Scholar
  25. 25.
    F. Reif, Fundamentals of Statistical and Thermal Physics (McGraw-Hill, New York, 1985) Google Scholar

Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Laboratório de Física Biológica, Departamento de FísicaUniversidade Federal de ViçosaViçosaBrazil

Personalised recommendations