1999
DOI: 10.1016/s0965-9773(99)00128-2
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The real origin of lognormal size distributions of nanoparticles in vapor growth processes

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Cited by 58 publications
(31 citation statements)
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“…which is a good approximation for the gas-phase synthesis of nanoparticles (Medalia, 1982;Köylü & Faeth, 1992;Kiss, Sönderlund, Niklasson, & Granqvist, 1999) may be assumed, and the count median diameter d med and geometric standard deviation g as characteristic parameters of this distribution are then to be determined. These parameters may be obtained by a direct multi-dimensional non-linear regression (Lehre et al, 2003), i.e., finding an optimum with a variation of test distributions, which of course requires additional computing time and thus complicates in situ application to transient processes.…”
Section: Data Evaluationmentioning
confidence: 99%
“…which is a good approximation for the gas-phase synthesis of nanoparticles (Medalia, 1982;Köylü & Faeth, 1992;Kiss, Sönderlund, Niklasson, & Granqvist, 1999) may be assumed, and the count median diameter d med and geometric standard deviation g as characteristic parameters of this distribution are then to be determined. These parameters may be obtained by a direct multi-dimensional non-linear regression (Lehre et al, 2003), i.e., finding an optimum with a variation of test distributions, which of course requires additional computing time and thus complicates in situ application to transient processes.…”
Section: Data Evaluationmentioning
confidence: 99%
“…Many studies (14,15) have explained this polydispersity by the Brownian coagulation model. Another model (16), based on a random residence time approach, proposes that particles are moving by diffusion and drift through a finite growth zone. The particle size is assumed to be a power function of growth time, and the final size distribution is determined by the first passage time.…”
Section: Introductionmentioning
confidence: 99%
“…2, we present a statistical analysis of the size distribution of Ge nanocrystals. We obtained a very good modified log normal fit to the data [22]. We note the absence of nanocrystals near the interface for a narrow band of oxide layer.…”
Section: Resultsmentioning
confidence: 63%