Thermodynamics and kinetics of monodisperse alloy nanoparticles synthesized through digestive ripening

Wagner-Vengrenovich Distribution

“…From (8) or (9), for the rate of growth, one can determine the ratio / that in terms of paper [1] corresponds to the locking point magnitude, 0 ( 0 = / ). Knowing 0 enables to integrate (8) and (9) and to find out temporal dependences for and , as well as to separate the variables in the continuity equation (2) and to find out the analytical form of the size distribution function. In accordance with [31], the ratio ( / ) ( 0 ) can be found out from the dependence of the specific rate of growth/ on shown schematically in Figure 1.…”

“…Assuming = ( = 1) in (8) and replacing the ratio / by its magnitude from (11), one obtains by integration…”

“…The products of nanotechnologies [6][7][8] become new objects of applying the LSW theory. As sizes become 100 nm and less [9], the characteristics of both separate NCs and of the system as a whole change cardinally that provides practically useful properties.…”

Thermodynamics and Kinetics in the Synthesis of Monodisperse Nanoparticles

“…This system is chosen to represent the experimental condition of as-prepared Au and Ag nanoparticles mixed for digestive ripening [14]. The 500 nuclei were added because the experimental fact that the number of final nanoparticles increases after digestive ripening indicates that additional nucleation occurs.…”

“…During digestive ripening, nanoparticles initially ranging from 2 to 40 nm were spontaneously transformed into particles with nearly uniform sizes of 4~5 nm. Lee et al [13,14] could explain the digestive ripening process by considering the charge effect in the Gibbs-Thomson equation.…”