2011
DOI: 10.1186/1556-276x-6-106
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On the nature of the stretched exponential photoluminescence decay for silicon nanocrystals

Abstract: The influence of hydrogen rate on optical properties of silicon nanocrystals deposited by sputtering method was studied by means of time-resolved photoluminescence spectroscopy as well as transmission and reflection measurements. It was found that photoluminescence decay is strongly non-single exponential and can be described by the stretched exponential function. It was also shown that effective decay rate probability density function may be recovered by means of Stehfest algorithm. Moreover, it was proposed … Show more

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Cited by 57 publications
(68 citation statements)
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“…The samples examined in the present study were previously investigated by means of absorption spectroscopy [11]. The Tauc formula (α E ) = A ( E − E g ) m was used to estimate the optical band gap ( E g ) of these structures.…”
Section: Resultsmentioning
confidence: 99%
“…The samples examined in the present study were previously investigated by means of absorption spectroscopy [11]. The Tauc formula (α E ) = A ( E − E g ) m was used to estimate the optical band gap ( E g ) of these structures.…”
Section: Resultsmentioning
confidence: 99%
“…It is known that this model is widely used for the decay curve analysis of Si nanocrystals [18] . The least squares fit of Equation 1 to experimental data brings values of τ 0 and β.…”
Section: Resultsmentioning
confidence: 99%
“…The latter β value corresponds to a larger distribution width of decay rates for Au-nc-Si-SiO x interface. In the case of stretched exponential relaxation function, the PL decay might be analyzed more thoroughly by recovering the distribution of recombination rates [18]. So, having the constants of τ 0 and β , taken from experimental data fit to (1), it is possible to obtain the average decay time constant  < τ> , which can be defined by:…”
Section: Resultsmentioning
confidence: 99%
“…In general, the parameter β is related to the stretching of the decay process and is a direct measure of the width of the decay rate distribution. In the case of stretched exponential relaxation function, the PL decay may be analyzed more thoroughly by recovering the distribution of recombination rates [16]. Using the values of τ 0 and β measured at λ = 780 nm, we calculated the asymptotic form of the decay rates probability density function Ф(k) that might be obtained by the saddle-point method [18]:…”
Section: Resultsmentioning
confidence: 99%
“…It is known that the stretched exponential function is widely used for the decay curve analysis of Si nanocrystals [16]. The least-squares fit of Eq.…”
Section: Resultsmentioning
confidence: 99%