Abstract

We show that the orientation of a dimer and the distance between the nanoparticles that form it can be determined by measuring the scattering under polarized light illumination. Scattering microscopy has shown to be an alternative to fluorescence as it provides nonbleaching and highly biocompatible probes, that can be manufactured in different sizes with different ligands. We propose a method based on measuring the polarization anisotropy of metallic dimers to determine distances in the range from 10 nm to 200 nm, thus filling the gap between fluorescence resonance energy transfer (FRET) and conventional microscopy. By calculating the scattering cross section of metallic dimers we show that it is also possible to gather orientation information, relevant to understand many biological processes.

© 2006 Optical Society of America

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References

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  1. Z. Kam, T. Volberg, and B. Geiger, “Mapping of Adherens Junction Components using Microscopic Resonance Energy-Transfer Imaging,” J. Cell. Sci. 108, 1051–1062 (1995).
    [PubMed]
  2. Y. Suzuki, T. Yasunaga, R. Ohkura, T. Wakabayashi, and K. Sutoh, “Swing of the lever arm of a myosin motor at the isomerization and phosphate-release steps,” Nature 396, 380–383 (1998).
    [Crossref] [PubMed]
  3. N. P. Mahajan, K. Linder, G. Berry, G. W. Gordon, R. Heim, and B. Herman, “Bcl-2 and Bax interactions in mitochondria probed with green fluorescent protein and fluorescence resonance energy transfer,” Nat. Biotechnol. 16, 547–552 (1998).
    [Crossref] [PubMed]
  4. E. A. Jares-Erijman and T. M. Jovin, “FRET imaging,” Nat. Biotechnol. 21, 1387–1395 (2003).
    [Crossref] [PubMed]
  5. H. E. Grecco, K. A. Lidke, R. Heintzmann, D. S. Lidke, C. Spagnuolo, O. E. Martinez, E. A. Jares-Erijman, and T. M. Jovin, “Ensemble and single particle photophysical properties (Two-Photon excitation, anisotropy, FRET, lifetime, spectral conversion) of commercial quantum dots in solution and in live cells,” Microsc. Res. Tech. 65, 169–179 (2004).
    [Crossref]
  6. D. S. Lidke, P. Nagy, R. Heintzmann, J. N. Post, D. J. Arndt-Jovin, H. Grecco, E. A. Jares-Erijman, and T. M. Jovin, “Real-time visualization of transmembrane receptor tyrosine kinase (erbB) dynamics using quantum dot ligands,” Biophys. J. 86, 446A–446A (2004).
  7. K. Suzuki, K. Ritchie, E. Kajikawa, T. Fujiwara, and A. Kusumi, “Rapid hop diffusion of a G-proteincoupled receptor in the plasma membrane as revealed by single-molecule techniques,” Biophysical Journal 88, 3659–3680 (2005).
    [Crossref] [PubMed]
  8. J. H. Bruning and Y. T. Lo, “Multiple Scattering of EM Waves By Spheres.1. Multipole Expansion and Ray-Optical Solutions,” IEEE Trans. Antennas Propag. AP19, 378–390 (1971).
    [Crossref]
  9. J. H. Bruning and Y. T. Lo, “Multiple Scattering of EM Waves By Spheres. 2. Numerical and Experimental Results,” IEEE Trans. Antennas Propag. AP19, 391–400 (1971).
    [Crossref]
  10. K. A. Fuller, “Optical Resonances and 2-Sphere Systems,” Appl. Opt. 30, 4716–4731 (1991).
    [Crossref] [PubMed]
  11. C. Sonnichsen, B. M. Reinhard, J. Liphardt, and A. P. Alivisatos, “A molecular ruler based on plasmon coupling of single gold and silver nanoparticles,” Nat. Biotechnol. 23, 741–745 (2005).
    [Crossref] [PubMed]
  12. B. M. Reinhard, M. Siu, H. Agarwal, A. P. Alivisatos, and J. Liphardt, “Calibration of dynamic molecular rule based on plasmon coupling between gold nanoparticles,” Nano Lett. 5, 2246–2252 (2005).
    [Crossref] [PubMed]
  13. A. B. Asenjo, N. Krohn, and H. Sosa, “Configuration of the two kinesin motor domains during ATP hydrolysis,” Nat. Struct. Biol. 10, 836–842 (2003).
    [Crossref] [PubMed]
  14. S. Syed, G. E. Snyder, C. Franzini-Armstrong, P. R. Selvin, and Y. E. Goldman, “Adaptability of myosin V studied by simultaneous detection of position and orientation,” EMBO J. 25, 1795–1803 (2006).
    [Crossref] [PubMed]
  15. E. Toprak, J. Enderlein, S. Syed, S. A. McKinney, R. G. Petschek, T. Ha, Y. E. Goldman, and P. R. Selvin, “Defocused orientation and position imaging (DOPI) of myosin V,” Proceedings of The National Academy of Sciences of The United States of America 103, 6495–6499 (2006).
    [Crossref] [PubMed]
  16. D. W. Mackowski, “Analysis of Radiative Scattering for Multiple Sphere Configurations,” Proceedings of The Royal Society of London Series A-Mathematical Physical And Engineering Sciences 433, 599–614 (1991).
    [Crossref]
  17. Y. L. Xu, “Electromagnetic Scattering by an Aggregate of Spheres,” Appl. Opt. 34, 4573–4588 (1995).
    [Crossref] [PubMed]
  18. Y. L. Xu, “Electromagnetic scattering by an aggregate of spheres: far field,” Appl. Opt. 36, 9496–9508 (1997).
    [Crossref]
  19. C. F. Boheren and D. R Huffman, Absorption and scattering of light by small particles (Wiley, 1998).
  20. M. Bass, Handbook of Optics (McGraw Hill, 1995), Chap. 35.
  21. A. A. Oraevsky and A. N. Oraevsky, “On a plasmon resonance in ellipsoidal nanoparticles,” Quantum Electron. 32, 79–82 (2002).
    [Crossref]

2006 (2)

S. Syed, G. E. Snyder, C. Franzini-Armstrong, P. R. Selvin, and Y. E. Goldman, “Adaptability of myosin V studied by simultaneous detection of position and orientation,” EMBO J. 25, 1795–1803 (2006).
[Crossref] [PubMed]

E. Toprak, J. Enderlein, S. Syed, S. A. McKinney, R. G. Petschek, T. Ha, Y. E. Goldman, and P. R. Selvin, “Defocused orientation and position imaging (DOPI) of myosin V,” Proceedings of The National Academy of Sciences of The United States of America 103, 6495–6499 (2006).
[Crossref] [PubMed]

2005 (3)

C. Sonnichsen, B. M. Reinhard, J. Liphardt, and A. P. Alivisatos, “A molecular ruler based on plasmon coupling of single gold and silver nanoparticles,” Nat. Biotechnol. 23, 741–745 (2005).
[Crossref] [PubMed]

B. M. Reinhard, M. Siu, H. Agarwal, A. P. Alivisatos, and J. Liphardt, “Calibration of dynamic molecular rule based on plasmon coupling between gold nanoparticles,” Nano Lett. 5, 2246–2252 (2005).
[Crossref] [PubMed]

K. Suzuki, K. Ritchie, E. Kajikawa, T. Fujiwara, and A. Kusumi, “Rapid hop diffusion of a G-proteincoupled receptor in the plasma membrane as revealed by single-molecule techniques,” Biophysical Journal 88, 3659–3680 (2005).
[Crossref] [PubMed]

2004 (2)

H. E. Grecco, K. A. Lidke, R. Heintzmann, D. S. Lidke, C. Spagnuolo, O. E. Martinez, E. A. Jares-Erijman, and T. M. Jovin, “Ensemble and single particle photophysical properties (Two-Photon excitation, anisotropy, FRET, lifetime, spectral conversion) of commercial quantum dots in solution and in live cells,” Microsc. Res. Tech. 65, 169–179 (2004).
[Crossref]

D. S. Lidke, P. Nagy, R. Heintzmann, J. N. Post, D. J. Arndt-Jovin, H. Grecco, E. A. Jares-Erijman, and T. M. Jovin, “Real-time visualization of transmembrane receptor tyrosine kinase (erbB) dynamics using quantum dot ligands,” Biophys. J. 86, 446A–446A (2004).

2003 (2)

E. A. Jares-Erijman and T. M. Jovin, “FRET imaging,” Nat. Biotechnol. 21, 1387–1395 (2003).
[Crossref] [PubMed]

A. B. Asenjo, N. Krohn, and H. Sosa, “Configuration of the two kinesin motor domains during ATP hydrolysis,” Nat. Struct. Biol. 10, 836–842 (2003).
[Crossref] [PubMed]

2002 (1)

A. A. Oraevsky and A. N. Oraevsky, “On a plasmon resonance in ellipsoidal nanoparticles,” Quantum Electron. 32, 79–82 (2002).
[Crossref]

1998 (2)

Y. Suzuki, T. Yasunaga, R. Ohkura, T. Wakabayashi, and K. Sutoh, “Swing of the lever arm of a myosin motor at the isomerization and phosphate-release steps,” Nature 396, 380–383 (1998).
[Crossref] [PubMed]

N. P. Mahajan, K. Linder, G. Berry, G. W. Gordon, R. Heim, and B. Herman, “Bcl-2 and Bax interactions in mitochondria probed with green fluorescent protein and fluorescence resonance energy transfer,” Nat. Biotechnol. 16, 547–552 (1998).
[Crossref] [PubMed]

1997 (1)

1995 (2)

Y. L. Xu, “Electromagnetic Scattering by an Aggregate of Spheres,” Appl. Opt. 34, 4573–4588 (1995).
[Crossref] [PubMed]

Z. Kam, T. Volberg, and B. Geiger, “Mapping of Adherens Junction Components using Microscopic Resonance Energy-Transfer Imaging,” J. Cell. Sci. 108, 1051–1062 (1995).
[PubMed]

1991 (2)

K. A. Fuller, “Optical Resonances and 2-Sphere Systems,” Appl. Opt. 30, 4716–4731 (1991).
[Crossref] [PubMed]

D. W. Mackowski, “Analysis of Radiative Scattering for Multiple Sphere Configurations,” Proceedings of The Royal Society of London Series A-Mathematical Physical And Engineering Sciences 433, 599–614 (1991).
[Crossref]

1971 (2)

J. H. Bruning and Y. T. Lo, “Multiple Scattering of EM Waves By Spheres.1. Multipole Expansion and Ray-Optical Solutions,” IEEE Trans. Antennas Propag. AP19, 378–390 (1971).
[Crossref]

J. H. Bruning and Y. T. Lo, “Multiple Scattering of EM Waves By Spheres. 2. Numerical and Experimental Results,” IEEE Trans. Antennas Propag. AP19, 391–400 (1971).
[Crossref]

Agarwal, H.

B. M. Reinhard, M. Siu, H. Agarwal, A. P. Alivisatos, and J. Liphardt, “Calibration of dynamic molecular rule based on plasmon coupling between gold nanoparticles,” Nano Lett. 5, 2246–2252 (2005).
[Crossref] [PubMed]

Alivisatos, A. P.

B. M. Reinhard, M. Siu, H. Agarwal, A. P. Alivisatos, and J. Liphardt, “Calibration of dynamic molecular rule based on plasmon coupling between gold nanoparticles,” Nano Lett. 5, 2246–2252 (2005).
[Crossref] [PubMed]

C. Sonnichsen, B. M. Reinhard, J. Liphardt, and A. P. Alivisatos, “A molecular ruler based on plasmon coupling of single gold and silver nanoparticles,” Nat. Biotechnol. 23, 741–745 (2005).
[Crossref] [PubMed]

Arndt-Jovin, D. J.

D. S. Lidke, P. Nagy, R. Heintzmann, J. N. Post, D. J. Arndt-Jovin, H. Grecco, E. A. Jares-Erijman, and T. M. Jovin, “Real-time visualization of transmembrane receptor tyrosine kinase (erbB) dynamics using quantum dot ligands,” Biophys. J. 86, 446A–446A (2004).

Asenjo, A. B.

A. B. Asenjo, N. Krohn, and H. Sosa, “Configuration of the two kinesin motor domains during ATP hydrolysis,” Nat. Struct. Biol. 10, 836–842 (2003).
[Crossref] [PubMed]

Bass, M.

M. Bass, Handbook of Optics (McGraw Hill, 1995), Chap. 35.

Berry, G.

N. P. Mahajan, K. Linder, G. Berry, G. W. Gordon, R. Heim, and B. Herman, “Bcl-2 and Bax interactions in mitochondria probed with green fluorescent protein and fluorescence resonance energy transfer,” Nat. Biotechnol. 16, 547–552 (1998).
[Crossref] [PubMed]

Boheren, C. F.

C. F. Boheren and D. R Huffman, Absorption and scattering of light by small particles (Wiley, 1998).

Bruning, J. H.

J. H. Bruning and Y. T. Lo, “Multiple Scattering of EM Waves By Spheres.1. Multipole Expansion and Ray-Optical Solutions,” IEEE Trans. Antennas Propag. AP19, 378–390 (1971).
[Crossref]

J. H. Bruning and Y. T. Lo, “Multiple Scattering of EM Waves By Spheres. 2. Numerical and Experimental Results,” IEEE Trans. Antennas Propag. AP19, 391–400 (1971).
[Crossref]

Enderlein, J.

E. Toprak, J. Enderlein, S. Syed, S. A. McKinney, R. G. Petschek, T. Ha, Y. E. Goldman, and P. R. Selvin, “Defocused orientation and position imaging (DOPI) of myosin V,” Proceedings of The National Academy of Sciences of The United States of America 103, 6495–6499 (2006).
[Crossref] [PubMed]

Franzini-Armstrong, C.

S. Syed, G. E. Snyder, C. Franzini-Armstrong, P. R. Selvin, and Y. E. Goldman, “Adaptability of myosin V studied by simultaneous detection of position and orientation,” EMBO J. 25, 1795–1803 (2006).
[Crossref] [PubMed]

Fujiwara, T.

K. Suzuki, K. Ritchie, E. Kajikawa, T. Fujiwara, and A. Kusumi, “Rapid hop diffusion of a G-proteincoupled receptor in the plasma membrane as revealed by single-molecule techniques,” Biophysical Journal 88, 3659–3680 (2005).
[Crossref] [PubMed]

Fuller, K. A.

Geiger, B.

Z. Kam, T. Volberg, and B. Geiger, “Mapping of Adherens Junction Components using Microscopic Resonance Energy-Transfer Imaging,” J. Cell. Sci. 108, 1051–1062 (1995).
[PubMed]

Goldman, Y. E.

E. Toprak, J. Enderlein, S. Syed, S. A. McKinney, R. G. Petschek, T. Ha, Y. E. Goldman, and P. R. Selvin, “Defocused orientation and position imaging (DOPI) of myosin V,” Proceedings of The National Academy of Sciences of The United States of America 103, 6495–6499 (2006).
[Crossref] [PubMed]

S. Syed, G. E. Snyder, C. Franzini-Armstrong, P. R. Selvin, and Y. E. Goldman, “Adaptability of myosin V studied by simultaneous detection of position and orientation,” EMBO J. 25, 1795–1803 (2006).
[Crossref] [PubMed]

Gordon, G. W.

N. P. Mahajan, K. Linder, G. Berry, G. W. Gordon, R. Heim, and B. Herman, “Bcl-2 and Bax interactions in mitochondria probed with green fluorescent protein and fluorescence resonance energy transfer,” Nat. Biotechnol. 16, 547–552 (1998).
[Crossref] [PubMed]

Grecco, H.

D. S. Lidke, P. Nagy, R. Heintzmann, J. N. Post, D. J. Arndt-Jovin, H. Grecco, E. A. Jares-Erijman, and T. M. Jovin, “Real-time visualization of transmembrane receptor tyrosine kinase (erbB) dynamics using quantum dot ligands,” Biophys. J. 86, 446A–446A (2004).

Grecco, H. E.

H. E. Grecco, K. A. Lidke, R. Heintzmann, D. S. Lidke, C. Spagnuolo, O. E. Martinez, E. A. Jares-Erijman, and T. M. Jovin, “Ensemble and single particle photophysical properties (Two-Photon excitation, anisotropy, FRET, lifetime, spectral conversion) of commercial quantum dots in solution and in live cells,” Microsc. Res. Tech. 65, 169–179 (2004).
[Crossref]

Ha, T.

E. Toprak, J. Enderlein, S. Syed, S. A. McKinney, R. G. Petschek, T. Ha, Y. E. Goldman, and P. R. Selvin, “Defocused orientation and position imaging (DOPI) of myosin V,” Proceedings of The National Academy of Sciences of The United States of America 103, 6495–6499 (2006).
[Crossref] [PubMed]

Heim, R.

N. P. Mahajan, K. Linder, G. Berry, G. W. Gordon, R. Heim, and B. Herman, “Bcl-2 and Bax interactions in mitochondria probed with green fluorescent protein and fluorescence resonance energy transfer,” Nat. Biotechnol. 16, 547–552 (1998).
[Crossref] [PubMed]

Heintzmann, R.

H. E. Grecco, K. A. Lidke, R. Heintzmann, D. S. Lidke, C. Spagnuolo, O. E. Martinez, E. A. Jares-Erijman, and T. M. Jovin, “Ensemble and single particle photophysical properties (Two-Photon excitation, anisotropy, FRET, lifetime, spectral conversion) of commercial quantum dots in solution and in live cells,” Microsc. Res. Tech. 65, 169–179 (2004).
[Crossref]

D. S. Lidke, P. Nagy, R. Heintzmann, J. N. Post, D. J. Arndt-Jovin, H. Grecco, E. A. Jares-Erijman, and T. M. Jovin, “Real-time visualization of transmembrane receptor tyrosine kinase (erbB) dynamics using quantum dot ligands,” Biophys. J. 86, 446A–446A (2004).

Herman, B.

N. P. Mahajan, K. Linder, G. Berry, G. W. Gordon, R. Heim, and B. Herman, “Bcl-2 and Bax interactions in mitochondria probed with green fluorescent protein and fluorescence resonance energy transfer,” Nat. Biotechnol. 16, 547–552 (1998).
[Crossref] [PubMed]

Huffman, D. R

C. F. Boheren and D. R Huffman, Absorption and scattering of light by small particles (Wiley, 1998).

Jares-Erijman, E. A.

H. E. Grecco, K. A. Lidke, R. Heintzmann, D. S. Lidke, C. Spagnuolo, O. E. Martinez, E. A. Jares-Erijman, and T. M. Jovin, “Ensemble and single particle photophysical properties (Two-Photon excitation, anisotropy, FRET, lifetime, spectral conversion) of commercial quantum dots in solution and in live cells,” Microsc. Res. Tech. 65, 169–179 (2004).
[Crossref]

D. S. Lidke, P. Nagy, R. Heintzmann, J. N. Post, D. J. Arndt-Jovin, H. Grecco, E. A. Jares-Erijman, and T. M. Jovin, “Real-time visualization of transmembrane receptor tyrosine kinase (erbB) dynamics using quantum dot ligands,” Biophys. J. 86, 446A–446A (2004).

E. A. Jares-Erijman and T. M. Jovin, “FRET imaging,” Nat. Biotechnol. 21, 1387–1395 (2003).
[Crossref] [PubMed]

Jovin, T. M.

D. S. Lidke, P. Nagy, R. Heintzmann, J. N. Post, D. J. Arndt-Jovin, H. Grecco, E. A. Jares-Erijman, and T. M. Jovin, “Real-time visualization of transmembrane receptor tyrosine kinase (erbB) dynamics using quantum dot ligands,” Biophys. J. 86, 446A–446A (2004).

H. E. Grecco, K. A. Lidke, R. Heintzmann, D. S. Lidke, C. Spagnuolo, O. E. Martinez, E. A. Jares-Erijman, and T. M. Jovin, “Ensemble and single particle photophysical properties (Two-Photon excitation, anisotropy, FRET, lifetime, spectral conversion) of commercial quantum dots in solution and in live cells,” Microsc. Res. Tech. 65, 169–179 (2004).
[Crossref]

E. A. Jares-Erijman and T. M. Jovin, “FRET imaging,” Nat. Biotechnol. 21, 1387–1395 (2003).
[Crossref] [PubMed]

Kajikawa, E.

K. Suzuki, K. Ritchie, E. Kajikawa, T. Fujiwara, and A. Kusumi, “Rapid hop diffusion of a G-proteincoupled receptor in the plasma membrane as revealed by single-molecule techniques,” Biophysical Journal 88, 3659–3680 (2005).
[Crossref] [PubMed]

Kam, Z.

Z. Kam, T. Volberg, and B. Geiger, “Mapping of Adherens Junction Components using Microscopic Resonance Energy-Transfer Imaging,” J. Cell. Sci. 108, 1051–1062 (1995).
[PubMed]

Krohn, N.

A. B. Asenjo, N. Krohn, and H. Sosa, “Configuration of the two kinesin motor domains during ATP hydrolysis,” Nat. Struct. Biol. 10, 836–842 (2003).
[Crossref] [PubMed]

Kusumi, A.

K. Suzuki, K. Ritchie, E. Kajikawa, T. Fujiwara, and A. Kusumi, “Rapid hop diffusion of a G-proteincoupled receptor in the plasma membrane as revealed by single-molecule techniques,” Biophysical Journal 88, 3659–3680 (2005).
[Crossref] [PubMed]

Lidke, D. S.

D. S. Lidke, P. Nagy, R. Heintzmann, J. N. Post, D. J. Arndt-Jovin, H. Grecco, E. A. Jares-Erijman, and T. M. Jovin, “Real-time visualization of transmembrane receptor tyrosine kinase (erbB) dynamics using quantum dot ligands,” Biophys. J. 86, 446A–446A (2004).

H. E. Grecco, K. A. Lidke, R. Heintzmann, D. S. Lidke, C. Spagnuolo, O. E. Martinez, E. A. Jares-Erijman, and T. M. Jovin, “Ensemble and single particle photophysical properties (Two-Photon excitation, anisotropy, FRET, lifetime, spectral conversion) of commercial quantum dots in solution and in live cells,” Microsc. Res. Tech. 65, 169–179 (2004).
[Crossref]

Lidke, K. A.

H. E. Grecco, K. A. Lidke, R. Heintzmann, D. S. Lidke, C. Spagnuolo, O. E. Martinez, E. A. Jares-Erijman, and T. M. Jovin, “Ensemble and single particle photophysical properties (Two-Photon excitation, anisotropy, FRET, lifetime, spectral conversion) of commercial quantum dots in solution and in live cells,” Microsc. Res. Tech. 65, 169–179 (2004).
[Crossref]

Linder, K.

N. P. Mahajan, K. Linder, G. Berry, G. W. Gordon, R. Heim, and B. Herman, “Bcl-2 and Bax interactions in mitochondria probed with green fluorescent protein and fluorescence resonance energy transfer,” Nat. Biotechnol. 16, 547–552 (1998).
[Crossref] [PubMed]

Liphardt, J.

B. M. Reinhard, M. Siu, H. Agarwal, A. P. Alivisatos, and J. Liphardt, “Calibration of dynamic molecular rule based on plasmon coupling between gold nanoparticles,” Nano Lett. 5, 2246–2252 (2005).
[Crossref] [PubMed]

C. Sonnichsen, B. M. Reinhard, J. Liphardt, and A. P. Alivisatos, “A molecular ruler based on plasmon coupling of single gold and silver nanoparticles,” Nat. Biotechnol. 23, 741–745 (2005).
[Crossref] [PubMed]

Lo, Y. T.

J. H. Bruning and Y. T. Lo, “Multiple Scattering of EM Waves By Spheres. 2. Numerical and Experimental Results,” IEEE Trans. Antennas Propag. AP19, 391–400 (1971).
[Crossref]

J. H. Bruning and Y. T. Lo, “Multiple Scattering of EM Waves By Spheres.1. Multipole Expansion and Ray-Optical Solutions,” IEEE Trans. Antennas Propag. AP19, 378–390 (1971).
[Crossref]

Mackowski, D. W.

D. W. Mackowski, “Analysis of Radiative Scattering for Multiple Sphere Configurations,” Proceedings of The Royal Society of London Series A-Mathematical Physical And Engineering Sciences 433, 599–614 (1991).
[Crossref]

Mahajan, N. P.

N. P. Mahajan, K. Linder, G. Berry, G. W. Gordon, R. Heim, and B. Herman, “Bcl-2 and Bax interactions in mitochondria probed with green fluorescent protein and fluorescence resonance energy transfer,” Nat. Biotechnol. 16, 547–552 (1998).
[Crossref] [PubMed]

Martinez, O. E.

H. E. Grecco, K. A. Lidke, R. Heintzmann, D. S. Lidke, C. Spagnuolo, O. E. Martinez, E. A. Jares-Erijman, and T. M. Jovin, “Ensemble and single particle photophysical properties (Two-Photon excitation, anisotropy, FRET, lifetime, spectral conversion) of commercial quantum dots in solution and in live cells,” Microsc. Res. Tech. 65, 169–179 (2004).
[Crossref]

McKinney, S. A.

E. Toprak, J. Enderlein, S. Syed, S. A. McKinney, R. G. Petschek, T. Ha, Y. E. Goldman, and P. R. Selvin, “Defocused orientation and position imaging (DOPI) of myosin V,” Proceedings of The National Academy of Sciences of The United States of America 103, 6495–6499 (2006).
[Crossref] [PubMed]

Nagy, P.

D. S. Lidke, P. Nagy, R. Heintzmann, J. N. Post, D. J. Arndt-Jovin, H. Grecco, E. A. Jares-Erijman, and T. M. Jovin, “Real-time visualization of transmembrane receptor tyrosine kinase (erbB) dynamics using quantum dot ligands,” Biophys. J. 86, 446A–446A (2004).

Ohkura, R.

Y. Suzuki, T. Yasunaga, R. Ohkura, T. Wakabayashi, and K. Sutoh, “Swing of the lever arm of a myosin motor at the isomerization and phosphate-release steps,” Nature 396, 380–383 (1998).
[Crossref] [PubMed]

Oraevsky, A. A.

A. A. Oraevsky and A. N. Oraevsky, “On a plasmon resonance in ellipsoidal nanoparticles,” Quantum Electron. 32, 79–82 (2002).
[Crossref]

Oraevsky, A. N.

A. A. Oraevsky and A. N. Oraevsky, “On a plasmon resonance in ellipsoidal nanoparticles,” Quantum Electron. 32, 79–82 (2002).
[Crossref]

Petschek, R. G.

E. Toprak, J. Enderlein, S. Syed, S. A. McKinney, R. G. Petschek, T. Ha, Y. E. Goldman, and P. R. Selvin, “Defocused orientation and position imaging (DOPI) of myosin V,” Proceedings of The National Academy of Sciences of The United States of America 103, 6495–6499 (2006).
[Crossref] [PubMed]

Post, J. N.

D. S. Lidke, P. Nagy, R. Heintzmann, J. N. Post, D. J. Arndt-Jovin, H. Grecco, E. A. Jares-Erijman, and T. M. Jovin, “Real-time visualization of transmembrane receptor tyrosine kinase (erbB) dynamics using quantum dot ligands,” Biophys. J. 86, 446A–446A (2004).

Reinhard, B. M.

C. Sonnichsen, B. M. Reinhard, J. Liphardt, and A. P. Alivisatos, “A molecular ruler based on plasmon coupling of single gold and silver nanoparticles,” Nat. Biotechnol. 23, 741–745 (2005).
[Crossref] [PubMed]

B. M. Reinhard, M. Siu, H. Agarwal, A. P. Alivisatos, and J. Liphardt, “Calibration of dynamic molecular rule based on plasmon coupling between gold nanoparticles,” Nano Lett. 5, 2246–2252 (2005).
[Crossref] [PubMed]

Ritchie, K.

K. Suzuki, K. Ritchie, E. Kajikawa, T. Fujiwara, and A. Kusumi, “Rapid hop diffusion of a G-proteincoupled receptor in the plasma membrane as revealed by single-molecule techniques,” Biophysical Journal 88, 3659–3680 (2005).
[Crossref] [PubMed]

Selvin, P. R.

S. Syed, G. E. Snyder, C. Franzini-Armstrong, P. R. Selvin, and Y. E. Goldman, “Adaptability of myosin V studied by simultaneous detection of position and orientation,” EMBO J. 25, 1795–1803 (2006).
[Crossref] [PubMed]

E. Toprak, J. Enderlein, S. Syed, S. A. McKinney, R. G. Petschek, T. Ha, Y. E. Goldman, and P. R. Selvin, “Defocused orientation and position imaging (DOPI) of myosin V,” Proceedings of The National Academy of Sciences of The United States of America 103, 6495–6499 (2006).
[Crossref] [PubMed]

Siu, M.

B. M. Reinhard, M. Siu, H. Agarwal, A. P. Alivisatos, and J. Liphardt, “Calibration of dynamic molecular rule based on plasmon coupling between gold nanoparticles,” Nano Lett. 5, 2246–2252 (2005).
[Crossref] [PubMed]

Snyder, G. E.

S. Syed, G. E. Snyder, C. Franzini-Armstrong, P. R. Selvin, and Y. E. Goldman, “Adaptability of myosin V studied by simultaneous detection of position and orientation,” EMBO J. 25, 1795–1803 (2006).
[Crossref] [PubMed]

Sonnichsen, C.

C. Sonnichsen, B. M. Reinhard, J. Liphardt, and A. P. Alivisatos, “A molecular ruler based on plasmon coupling of single gold and silver nanoparticles,” Nat. Biotechnol. 23, 741–745 (2005).
[Crossref] [PubMed]

Sosa, H.

A. B. Asenjo, N. Krohn, and H. Sosa, “Configuration of the two kinesin motor domains during ATP hydrolysis,” Nat. Struct. Biol. 10, 836–842 (2003).
[Crossref] [PubMed]

Spagnuolo, C.

H. E. Grecco, K. A. Lidke, R. Heintzmann, D. S. Lidke, C. Spagnuolo, O. E. Martinez, E. A. Jares-Erijman, and T. M. Jovin, “Ensemble and single particle photophysical properties (Two-Photon excitation, anisotropy, FRET, lifetime, spectral conversion) of commercial quantum dots in solution and in live cells,” Microsc. Res. Tech. 65, 169–179 (2004).
[Crossref]

Sutoh, K.

Y. Suzuki, T. Yasunaga, R. Ohkura, T. Wakabayashi, and K. Sutoh, “Swing of the lever arm of a myosin motor at the isomerization and phosphate-release steps,” Nature 396, 380–383 (1998).
[Crossref] [PubMed]

Suzuki, K.

K. Suzuki, K. Ritchie, E. Kajikawa, T. Fujiwara, and A. Kusumi, “Rapid hop diffusion of a G-proteincoupled receptor in the plasma membrane as revealed by single-molecule techniques,” Biophysical Journal 88, 3659–3680 (2005).
[Crossref] [PubMed]

Suzuki, Y.

Y. Suzuki, T. Yasunaga, R. Ohkura, T. Wakabayashi, and K. Sutoh, “Swing of the lever arm of a myosin motor at the isomerization and phosphate-release steps,” Nature 396, 380–383 (1998).
[Crossref] [PubMed]

Syed, S.

S. Syed, G. E. Snyder, C. Franzini-Armstrong, P. R. Selvin, and Y. E. Goldman, “Adaptability of myosin V studied by simultaneous detection of position and orientation,” EMBO J. 25, 1795–1803 (2006).
[Crossref] [PubMed]

E. Toprak, J. Enderlein, S. Syed, S. A. McKinney, R. G. Petschek, T. Ha, Y. E. Goldman, and P. R. Selvin, “Defocused orientation and position imaging (DOPI) of myosin V,” Proceedings of The National Academy of Sciences of The United States of America 103, 6495–6499 (2006).
[Crossref] [PubMed]

Toprak, E.

E. Toprak, J. Enderlein, S. Syed, S. A. McKinney, R. G. Petschek, T. Ha, Y. E. Goldman, and P. R. Selvin, “Defocused orientation and position imaging (DOPI) of myosin V,” Proceedings of The National Academy of Sciences of The United States of America 103, 6495–6499 (2006).
[Crossref] [PubMed]

Volberg, T.

Z. Kam, T. Volberg, and B. Geiger, “Mapping of Adherens Junction Components using Microscopic Resonance Energy-Transfer Imaging,” J. Cell. Sci. 108, 1051–1062 (1995).
[PubMed]

Wakabayashi, T.

Y. Suzuki, T. Yasunaga, R. Ohkura, T. Wakabayashi, and K. Sutoh, “Swing of the lever arm of a myosin motor at the isomerization and phosphate-release steps,” Nature 396, 380–383 (1998).
[Crossref] [PubMed]

Xu, Y. L.

Yasunaga, T.

Y. Suzuki, T. Yasunaga, R. Ohkura, T. Wakabayashi, and K. Sutoh, “Swing of the lever arm of a myosin motor at the isomerization and phosphate-release steps,” Nature 396, 380–383 (1998).
[Crossref] [PubMed]

Appl. Opt. (3)

Biophys. J. (1)

D. S. Lidke, P. Nagy, R. Heintzmann, J. N. Post, D. J. Arndt-Jovin, H. Grecco, E. A. Jares-Erijman, and T. M. Jovin, “Real-time visualization of transmembrane receptor tyrosine kinase (erbB) dynamics using quantum dot ligands,” Biophys. J. 86, 446A–446A (2004).

Biophysical Journal (1)

K. Suzuki, K. Ritchie, E. Kajikawa, T. Fujiwara, and A. Kusumi, “Rapid hop diffusion of a G-proteincoupled receptor in the plasma membrane as revealed by single-molecule techniques,” Biophysical Journal 88, 3659–3680 (2005).
[Crossref] [PubMed]

EMBO J. (1)

S. Syed, G. E. Snyder, C. Franzini-Armstrong, P. R. Selvin, and Y. E. Goldman, “Adaptability of myosin V studied by simultaneous detection of position and orientation,” EMBO J. 25, 1795–1803 (2006).
[Crossref] [PubMed]

IEEE Trans. Antennas Propag. (2)

J. H. Bruning and Y. T. Lo, “Multiple Scattering of EM Waves By Spheres.1. Multipole Expansion and Ray-Optical Solutions,” IEEE Trans. Antennas Propag. AP19, 378–390 (1971).
[Crossref]

J. H. Bruning and Y. T. Lo, “Multiple Scattering of EM Waves By Spheres. 2. Numerical and Experimental Results,” IEEE Trans. Antennas Propag. AP19, 391–400 (1971).
[Crossref]

J. Cell. Sci. (1)

Z. Kam, T. Volberg, and B. Geiger, “Mapping of Adherens Junction Components using Microscopic Resonance Energy-Transfer Imaging,” J. Cell. Sci. 108, 1051–1062 (1995).
[PubMed]

Microsc. Res. Tech. (1)

H. E. Grecco, K. A. Lidke, R. Heintzmann, D. S. Lidke, C. Spagnuolo, O. E. Martinez, E. A. Jares-Erijman, and T. M. Jovin, “Ensemble and single particle photophysical properties (Two-Photon excitation, anisotropy, FRET, lifetime, spectral conversion) of commercial quantum dots in solution and in live cells,” Microsc. Res. Tech. 65, 169–179 (2004).
[Crossref]

Nano Lett. (1)

B. M. Reinhard, M. Siu, H. Agarwal, A. P. Alivisatos, and J. Liphardt, “Calibration of dynamic molecular rule based on plasmon coupling between gold nanoparticles,” Nano Lett. 5, 2246–2252 (2005).
[Crossref] [PubMed]

Nat. Biotechnol. (3)

C. Sonnichsen, B. M. Reinhard, J. Liphardt, and A. P. Alivisatos, “A molecular ruler based on plasmon coupling of single gold and silver nanoparticles,” Nat. Biotechnol. 23, 741–745 (2005).
[Crossref] [PubMed]

N. P. Mahajan, K. Linder, G. Berry, G. W. Gordon, R. Heim, and B. Herman, “Bcl-2 and Bax interactions in mitochondria probed with green fluorescent protein and fluorescence resonance energy transfer,” Nat. Biotechnol. 16, 547–552 (1998).
[Crossref] [PubMed]

E. A. Jares-Erijman and T. M. Jovin, “FRET imaging,” Nat. Biotechnol. 21, 1387–1395 (2003).
[Crossref] [PubMed]

Nat. Struct. Biol. (1)

A. B. Asenjo, N. Krohn, and H. Sosa, “Configuration of the two kinesin motor domains during ATP hydrolysis,” Nat. Struct. Biol. 10, 836–842 (2003).
[Crossref] [PubMed]

Nature (1)

Y. Suzuki, T. Yasunaga, R. Ohkura, T. Wakabayashi, and K. Sutoh, “Swing of the lever arm of a myosin motor at the isomerization and phosphate-release steps,” Nature 396, 380–383 (1998).
[Crossref] [PubMed]

Proceedings of The National Academy of Sciences of The United States of America (1)

E. Toprak, J. Enderlein, S. Syed, S. A. McKinney, R. G. Petschek, T. Ha, Y. E. Goldman, and P. R. Selvin, “Defocused orientation and position imaging (DOPI) of myosin V,” Proceedings of The National Academy of Sciences of The United States of America 103, 6495–6499 (2006).
[Crossref] [PubMed]

Proceedings of The Royal Society of London Series A-Mathematical Physical And Engineering Sciences (1)

D. W. Mackowski, “Analysis of Radiative Scattering for Multiple Sphere Configurations,” Proceedings of The Royal Society of London Series A-Mathematical Physical And Engineering Sciences 433, 599–614 (1991).
[Crossref]

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A. A. Oraevsky and A. N. Oraevsky, “On a plasmon resonance in ellipsoidal nanoparticles,” Quantum Electron. 32, 79–82 (2002).
[Crossref]

Other (2)

C. F. Boheren and D. R Huffman, Absorption and scattering of light by small particles (Wiley, 1998).

M. Bass, Handbook of Optics (McGraw Hill, 1995), Chap. 35.

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Figures (3)

Fig. 1.
Fig. 1.

Gold nanoparticles (in grey) are illuminated with a plane wave polarized an angle β measured from the vector that joins the two particles. Cases where polarization is parallel (a) and perpendicular (b) are shown.

Fig. 2.
Fig. 2.

Scattering cross section at 532 nm as function of the angle between the polarization of the external field and the orientation of the dimer composed of 20 nm gold nanoparticles. Three different interparticle distances (center to center) are plot: 22 nm for the dotted line, 26 nm for the dashed line and 62 nm for the solid line.

Fig. 3.
Fig. 3.

Anisotropy of the scattering response as a function of the dimensionless distance defined as interparticle Distance/Diameter

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

E i ( j ) = E o ( j ) + l j E s ( l , j )
H i ( j ) = H o ( j ) + l j H s ( l , j )
E s ( j ) = n = 1 m = n n i E mn [ a mn j N mn ( 3 ) + b mn j M mn ( 3 ) ]
H s ( j ) = k ω μ n = 1 m = n n E mn [ b mn j N mn ( 3 ) + a mn j M mn ( 3 ) ]
η = C sca ( β = 0 ) C sca ( β = π 2 ) C sca ( β = 0 ) + C sca ( β = π 2 )

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