Blinking molecules: Determination of photophysical parameters from the intensity correlation function

Abstract

An explicit expression is given for the correlation function of blinking systems, i.e. systems exhibiting light and dark periods in their fluorescence. We show through the example of terrylene in a crystalline host that it is possible to determine by means of this explicit expression photo-physical parameters, like Einstein coefficients and the mean light and dark periods by a simple fit. In addition we obtain further parameters like the frequency of the various intensity periods and the probability density of photons scattered off the host crystal. It turns out that this approach is simpler and allows greater accuracy than previous procedures.

Quantum jumps and photon statistics in fluorescent systems coupled to classically fluctuating reservoirs

“…This quantity defines an infinitesimal time step algorithm (see Appendix D). In a similar way, (18)] define the survival probability for the next detection event (at time t) given that a µ-detection event happened at time t ′ . This object allows to defining a finite time step algorithm (see Appendix D).…”

“…An alternative and more efficient algorithm can be defined by using the survival probability Eq. (18) [see also Eq. (38)].…”

Statistical Evaluation of Single Nano‐Object Fluorescence

“…This was first demonstrated in 1992 by BaschØ et al who observed antibunching and Rabi oscillations for pentacene in p-terphenyl. [34] The correlation function for a three-level molecule (singlet levels S 0 and S 1 , and triplet T 1 ) can be obtained from optical Bloch equations, [34,[102][103][104][105] and a compact analytical expression can be derived to describe the antibunching dip at t = 0 and the Rabi oscillations [34,106] (short-time limit, negligible triplet population). For longer times, when photon bunching due to excursions to the triplet state becomes relevant, the treatment can be simplified by neglecting the coherence terms in the optical Bloch equations.…”

Optical-nanofiber-based interface for single molecules

“…1/T 2 represents the total dephasing rate of the excited state. Using equation B1 and the triplet state parameters for terrylene in p-terphenyl from [83], we obtain |d| > 4.1 Debye for the transition dipole moment of terrylene in p-terphenyl from the ground state to the first electronically excited state. The molecular dipole moment d = −er yields a minimum oscillator strength for this transition as [84]:…”