The real origin of lognormal size distributions of nanoparticles in vapor growth processes

Abstract In modern nanoparticle production methods, such as inert-gas evaporation, a strong effort is made to avoid coagulation of particles. Therefore, the classical coagulation models are not suitable for predicting the particle size distribution. This paper presents a new model that explains lognormal particle size distributions from first principles in a physically realistic way, without coagulation. The model is completely different from the previously applied growth models; it is based on a random residence time approach, where the time available for the particles to grow is random and determines the size distribution. The model is generally relevant in fields such as nanoparticle physics, aerosol science, environmental science and fractal growth, whenever particle growth occurs during transport through a growth zone due to diffusion and drift. Predictions made from the model agree with published experimental data obtained with the inert-gas evaporation technique.

[1]  S. Pratsinis,et al.  Quasi‐Self‐Preserving Log‐Normal Size Distributions in the Transition Regime , 1994 .

[2]  H. Sievering,et al.  Aerosol size distribution and aerosol water content measurements during Atlantic Stratocumulus Transition Experiment/Marine Aerosol and Gas Exchange , 1995 .

[3]  R. Irani.  The Interpretation of Abnormalities in the Log-Normal Distribution of Particle Size , 1959 .

[4]  Jost Heintzenberg,et al.  Properties of the Log-Normal Particle Size Distribution , 1994 .

[5]  K. W. Lee,et al.  The Log-Normal Size Distribution Theory for Brownian Coagulation in the Low Knudsen Number Regime , 1997 .

[6]  S. Pratsinis,et al.  Gas phase production of particles in reactive turbulent flows , 1991 .

[7]  Lan-sun Zheng,et al.  LOGNORMAL SIZE DISTRIBUTIONS OF ELEMENTAL CLUSTERS , 1994 .

[8]  L. Wagner,et al.  REPRESENTING AGGREGATE SIZE DISTRIBUTIONS AS MODIFIED LOGNORMAL DISTRIBUTIONS , 1994 .

[9]  Tyozi Uyeda,et al.  Ultra-Fine Particles: Exploratory Science and Technology , 1996 .

[10]  R. Buhrman,et al.  Ultrafine metal particles , 1976 .

[11]  Gunnar A. Niklasson,et al.  LOGNORMAL SIZE DISTRIBUTIONS IN PARTICLE GROWTH PROCESSES WITHOUT COAGULATION , 1998 .

[12]  H. Gleiter,et al.  Materials with ultrafine microstructures: Retrospectives and perspectives , 1992 .

[13]  S. Friedlander,et al.  The self-preserving particle size distribution for coagulation by brownian motion☆ , 1966 .

[14]  L. Thomason,et al.  Aerosol surface areas deduced from early 1993 SAGE II data and comparisons with stratospheric photochemistry, aerosols, and Dynamics Expedition measurements , 1995 .