Beyond power laws: a new approach for analyzing single molecule photoluminescence intermittency

The Journal of Chemical Physics
Erin A RileyPhilip J Reid

Abstract

The photoluminescence intermittency (PI) exhibited by single emitters has been studied for over a decade. To date, the vast majority of PI analyses involve parsing the data into emissive and non-emissive events, constructing histograms of event durations, and fitting these histograms to either exponential or power law probability distributions functions (PDFs). Here, a new method for analyzing PI data is presented where the data are used directly to construct a cumulative distribution function (CDF), and maximum-likelihood estimation techniques are used to determine the best fit of a model PDF to the CDF. Statistical tests are then employed to quantitatively evaluate the hypothesis that the CDF (data) is represented by the model PDF. The analysis method is outlined and applied to PI exhibited by single CdSe∕CdS core-shell nanocrystals and the organic chromophore violamine R isolated in single crystals of potassium-acid phthalate. Contrary to previous studies, the analysis presented here demonstrates that the PI exhibited by these systems is not described by a power law. The analysis developed here is also used to quantify heterogeneity within PI data obtained from a collection of CdSe/CdS nanocrytals, and for the determination ...Continue Reading

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Citations

Aug 24, 2012·The Journal of Physical Chemistry. B·Erin A RileyPhilip J Reid
Dec 4, 2012·International Journal of Molecular Sciences·Erin A RileyPhilip J Reid
Mar 25, 2014·The Journal of Chemical Physics·Nicole AmeckeFrank Cichos
Dec 18, 2014·Biophysical Journal·Robert D Adams, Amy B Harkins
Oct 11, 2016·Chemical Reviews·Oksana Ostroverkhova
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marzieh Zare, Paolo Grigolini
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Adam SvenkesonPaolo Grigolini
Feb 6, 2015·The Journal of Physical Chemistry. B·Chelsea M HessPhilip J Reid
Jul 6, 2014·The Journal of Physical Chemistry. B·Chelsea M HessPhilip J Reid
Mar 6, 2019·The Journal of Physical Chemistry. a·Pauline G LynchKristin L Wustholz
Jun 12, 2020·The Journal of Physical Chemistry Letters·Payel MondalRanjani Viswanatha

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