### Abstract

Based on classical mean-field approximation using the diffusion equation for ergodic normal motion of single 24-nm and 100-nm nanospheres, we simulated and measured molecule number counting in fluorescence fluctuation microscopy. The 3D-measurement set included a single molecule, or an ensemble average of single molecules, an observation volume △V and a local environment, e.g. aqueous solution. For the molecule number N ≪ 1 per κV, there was only one molecule at a time inside △V or no molecule. The mean rate k of re-entries defined by k = N / τ_{dif} was independent of the geometry of △V but depended on the size of △V and the diffusive properties τ_{dif}. The length distribution ℓ of single-molecule trajectories inside △V and the measured photon count rates I obeyed power laws with anomalous exponent κ =-1.32 ≈-4/3.

Original language | English |
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Pages (from-to) | 17883-17896 |

Number of pages | 14 |

Journal | Optics Express |

Volume | 18 |

Issue number | 17 |

DOIs | |

State | Published - 16 Aug 2010 |

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## Cite this

*Optics Express*,

*18*(17), 17883-17896. https://doi.org/10.1364/OE.18.017883