J. Tellinghuisen et al., ANALYSIS OF FLUORESCENCE LIFETIME DATA FOR SINGLE RHODAMINE MOLECULESIN FLOWING SAMPLE STREAMS, Analytical chemistry, 66(1), 1994, pp. 64-72
Fluorescence events for individual molecules of Rhodamine 110 dye in a
stream of methanol occur as bursts of 5-300 photoelectrons when the d
ye molecules transit the volume interrogated by the pulsed excitation
laser. The arrival times for these events, extracted by use of time-co
rrelated single-photon counting techniques, are distributed exponentia
lly over a approximately 10-ns time window gated to discriminate again
st prompt scattered tight. Still, residual scattered light and solvent
-impurity fluorescence contribute significantly to the recorded time d
istributions, which therefore must be analyzed as sums of an exponenti
al decay and a background. Results obtained from two-parameter nonline
ar least-squares fits are compared with maximum-likelihood estimates w
hich ignore the background. In agreement with predictions, the relativ
e error in the estimated decay rate exceeds the ideal N-1/2 limit that
holds for N counts, free of background, recorded over an infinite tim
e window. Data sets containing a small number of counts can exhibit pr
oblematic behavior, which can be understood from examination of contou
r plots of chi2 as a function of the two least-squares parameters. The
radiative lifetime of Rhodamine 110 in methanol is estimated to be 4.
2 +/- 0.2 ns.