Abstract

Optical tweezers (OT) are widely used for pico (and femto)-Newton range force measurements. The appropriate choice of the bead size is not well understood for biopolymer stretching applications of OT. We have shown, both by theory and experiment, that wrong choice of the bead size could cause errors as large as 295% in the measured force. We provide a simple map for correct choice of the bead size and the direction of pulling for such applications. There is a good agreement between our theoretical and experimental results.

© 2013 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and S. Chu, Opt. Lett. 11, 288 (1986).
    [CrossRef]
  2. P. Gross, N. Laurens, L. B. Öddershede, U. Bockelmann, E. J. G. Peterman, and G. J. L. Wuite, Nat. Phys. 7, 731 (2011).
    [CrossRef]
  3. J. H. Jeon, V. Tejedor, S. Burov, E. Barkai, C. Selhuber-Unkel, K. Berg-Sørensen, L. Öddershede, and R. Metzler, Phys. Rev. Lett. 106, 048103 (2011).
    [CrossRef]
  4. M. Jahnel, M. Behrndt, A. Jannasch, E. Schäffer, and S. W. Grill, Opt. Lett. 36, 1260 (2011).
    [CrossRef]
  5. T. Godazgar, R. Shokri, and S. N. S. Reihani, Opt. Lett. 36, 3284 (2011).
    [CrossRef]
  6. K. Berg-Sørensen and H. Flyvbjerg, Rev. Sci. Instrum. 75, 594 (2004).
    [CrossRef]
  7. T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knöner, A. M. Brańczyk, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 9, S196 (2007).
    [CrossRef]
  8. A. B. Stilgoe, T. A. Nieminen, G. Knöner, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Opt. Express 16, 15039 (2008).
    [CrossRef]

2011 (4)

P. Gross, N. Laurens, L. B. Öddershede, U. Bockelmann, E. J. G. Peterman, and G. J. L. Wuite, Nat. Phys. 7, 731 (2011).
[CrossRef]

J. H. Jeon, V. Tejedor, S. Burov, E. Barkai, C. Selhuber-Unkel, K. Berg-Sørensen, L. Öddershede, and R. Metzler, Phys. Rev. Lett. 106, 048103 (2011).
[CrossRef]

M. Jahnel, M. Behrndt, A. Jannasch, E. Schäffer, and S. W. Grill, Opt. Lett. 36, 1260 (2011).
[CrossRef]

T. Godazgar, R. Shokri, and S. N. S. Reihani, Opt. Lett. 36, 3284 (2011).
[CrossRef]

2008 (1)

2007 (1)

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knöner, A. M. Brańczyk, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 9, S196 (2007).
[CrossRef]

2004 (1)

K. Berg-Sørensen and H. Flyvbjerg, Rev. Sci. Instrum. 75, 594 (2004).
[CrossRef]

1986 (1)

Ashkin, A.

Barkai, E.

J. H. Jeon, V. Tejedor, S. Burov, E. Barkai, C. Selhuber-Unkel, K. Berg-Sørensen, L. Öddershede, and R. Metzler, Phys. Rev. Lett. 106, 048103 (2011).
[CrossRef]

Behrndt, M.

Berg-Sørensen, K.

J. H. Jeon, V. Tejedor, S. Burov, E. Barkai, C. Selhuber-Unkel, K. Berg-Sørensen, L. Öddershede, and R. Metzler, Phys. Rev. Lett. 106, 048103 (2011).
[CrossRef]

K. Berg-Sørensen and H. Flyvbjerg, Rev. Sci. Instrum. 75, 594 (2004).
[CrossRef]

Bjorkholm, J. E.

Bockelmann, U.

P. Gross, N. Laurens, L. B. Öddershede, U. Bockelmann, E. J. G. Peterman, and G. J. L. Wuite, Nat. Phys. 7, 731 (2011).
[CrossRef]

Branczyk, A. M.

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knöner, A. M. Brańczyk, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 9, S196 (2007).
[CrossRef]

Burov, S.

J. H. Jeon, V. Tejedor, S. Burov, E. Barkai, C. Selhuber-Unkel, K. Berg-Sørensen, L. Öddershede, and R. Metzler, Phys. Rev. Lett. 106, 048103 (2011).
[CrossRef]

Chu, S.

Dziedzic, J. M.

Flyvbjerg, H.

K. Berg-Sørensen and H. Flyvbjerg, Rev. Sci. Instrum. 75, 594 (2004).
[CrossRef]

Godazgar, T.

Grill, S. W.

Gross, P.

P. Gross, N. Laurens, L. B. Öddershede, U. Bockelmann, E. J. G. Peterman, and G. J. L. Wuite, Nat. Phys. 7, 731 (2011).
[CrossRef]

Heckenberg, N. R.

A. B. Stilgoe, T. A. Nieminen, G. Knöner, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Opt. Express 16, 15039 (2008).
[CrossRef]

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knöner, A. M. Brańczyk, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 9, S196 (2007).
[CrossRef]

Jahnel, M.

Jannasch, A.

Jeon, J. H.

J. H. Jeon, V. Tejedor, S. Burov, E. Barkai, C. Selhuber-Unkel, K. Berg-Sørensen, L. Öddershede, and R. Metzler, Phys. Rev. Lett. 106, 048103 (2011).
[CrossRef]

Knöner, G.

A. B. Stilgoe, T. A. Nieminen, G. Knöner, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Opt. Express 16, 15039 (2008).
[CrossRef]

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knöner, A. M. Brańczyk, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 9, S196 (2007).
[CrossRef]

Laurens, N.

P. Gross, N. Laurens, L. B. Öddershede, U. Bockelmann, E. J. G. Peterman, and G. J. L. Wuite, Nat. Phys. 7, 731 (2011).
[CrossRef]

Loke, V. L. Y.

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knöner, A. M. Brańczyk, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 9, S196 (2007).
[CrossRef]

Metzler, R.

J. H. Jeon, V. Tejedor, S. Burov, E. Barkai, C. Selhuber-Unkel, K. Berg-Sørensen, L. Öddershede, and R. Metzler, Phys. Rev. Lett. 106, 048103 (2011).
[CrossRef]

Nieminen, T. A.

A. B. Stilgoe, T. A. Nieminen, G. Knöner, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Opt. Express 16, 15039 (2008).
[CrossRef]

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knöner, A. M. Brańczyk, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 9, S196 (2007).
[CrossRef]

Öddershede, L.

J. H. Jeon, V. Tejedor, S. Burov, E. Barkai, C. Selhuber-Unkel, K. Berg-Sørensen, L. Öddershede, and R. Metzler, Phys. Rev. Lett. 106, 048103 (2011).
[CrossRef]

Öddershede, L. B.

P. Gross, N. Laurens, L. B. Öddershede, U. Bockelmann, E. J. G. Peterman, and G. J. L. Wuite, Nat. Phys. 7, 731 (2011).
[CrossRef]

Peterman, E. J. G.

P. Gross, N. Laurens, L. B. Öddershede, U. Bockelmann, E. J. G. Peterman, and G. J. L. Wuite, Nat. Phys. 7, 731 (2011).
[CrossRef]

Reihani, S. N. S.

Rubinsztein-Dunlop, H.

A. B. Stilgoe, T. A. Nieminen, G. Knöner, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Opt. Express 16, 15039 (2008).
[CrossRef]

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knöner, A. M. Brańczyk, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 9, S196 (2007).
[CrossRef]

Schäffer, E.

Selhuber-Unkel, C.

J. H. Jeon, V. Tejedor, S. Burov, E. Barkai, C. Selhuber-Unkel, K. Berg-Sørensen, L. Öddershede, and R. Metzler, Phys. Rev. Lett. 106, 048103 (2011).
[CrossRef]

Shokri, R.

Stilgoe, A. B.

A. B. Stilgoe, T. A. Nieminen, G. Knöner, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Opt. Express 16, 15039 (2008).
[CrossRef]

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knöner, A. M. Brańczyk, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 9, S196 (2007).
[CrossRef]

Tejedor, V.

J. H. Jeon, V. Tejedor, S. Burov, E. Barkai, C. Selhuber-Unkel, K. Berg-Sørensen, L. Öddershede, and R. Metzler, Phys. Rev. Lett. 106, 048103 (2011).
[CrossRef]

Wuite, G. J. L.

P. Gross, N. Laurens, L. B. Öddershede, U. Bockelmann, E. J. G. Peterman, and G. J. L. Wuite, Nat. Phys. 7, 731 (2011).
[CrossRef]

J. Opt. A (1)

T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knöner, A. M. Brańczyk, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Opt. A 9, S196 (2007).
[CrossRef]

Nat. Phys. (1)

P. Gross, N. Laurens, L. B. Öddershede, U. Bockelmann, E. J. G. Peterman, and G. J. L. Wuite, Nat. Phys. 7, 731 (2011).
[CrossRef]

Opt. Express (1)

Opt. Lett. (3)

Phys. Rev. Lett. (1)

J. H. Jeon, V. Tejedor, S. Burov, E. Barkai, C. Selhuber-Unkel, K. Berg-Sørensen, L. Öddershede, and R. Metzler, Phys. Rev. Lett. 106, 048103 (2011).
[CrossRef]

Rev. Sci. Instrum. (1)

K. Berg-Sørensen and H. Flyvbjerg, Rev. Sci. Instrum. 75, 594 (2004).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1.
Fig. 1.

Pixel size calibration for axial displacements of the 1.01 μm bead. Inset: typical images of the trapped 1.01 μm bead at resting point (left column) and displaced by 314 nm (right column) using an external force of 1.74  pN. The binary version of the images are shown in lower raw. The red lines represent the boundaries of the bright ring.

Fig. 2.
Fig. 2.

Experimental force-displacement graphs. The lines show linear fit (y=A+Bx) to data points.

Fig. 3.
Fig. 3.

Theoretical force-displacement graphs. The lines show linear fit (y=A+Bx) to data points.

Fig. 4.
Fig. 4.

(a) Axial resting position (solid curve), Brownian motion amplitude (gray band) calculated from equipartition theorem at laser power of 10 mW at the sample, Zmax+ (dashed curve), and Zmax (dotted curve) as a function of the bead size. (b) The trap stiffness within CLR (solid curve), and the second linear range from forward (dashed curve) and backward (doted curve) sides.

Tables (1)

Tables Icon

Table 1. Bending Positions (Zmax) in Nanometer and Relative Stiffening Ratios (α) of Experimental (Fig. 2) and Theoretical (Fig. 3) Force-Displacement Graphsa

Metrics