Statistical properties of blinking kinetics in single molecule

We study the statistical properties of blinking kinetics of single terrylene molecule in p-terphenyl crystal with intersystem crossing process (ISC) via generating function. The analytical expression of the waiting time distribution of the ‘bright’ and ‘dark’ period is obtained, which demonstrates that the behaviors of the ‘dark’ period show bi-exponential decaying because of two kinds of sublevels. The probability of the single terrylene molecule in the ‘bright’ and ‘dark’ states are also investigated. Our theoretical results are in good agreement with experimental results.