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![Mizoroki-Heck Cross-coupling Reactions Catalyzed by Dichloro{bis[1,1',1''-(phosphinetriyl)tripiperidine]}palladium Under Mild Reaction Conditions](/_next/image?url=https%3A%2F%2Fcloudfront.jove.com%2FCDNSource%2Fteasers%2F51444.jpg&w=3840&q=50)
Mizoroki-Heck Cross-coupling Reactions Catalyzed by Dichloro{bis[1,1',1''-(phosphinetriyl)tripiperidine]}palladium Under Mild Reaction Conditions
Published on: March 20, 2014
A Model for Simultaneous Homogeneous and Heterogeneous Nucleation in the Case of Slow Reaction Rate
1Chemical Engineering Department, Osaka Prefecture University, 1-1 Gakuencho, Sakai, 599-8531, Japan
Abstract:
Our previous model for simultaneous homogeneous and heterogeneous nucleation, which was successfully tested for silver particle generation by a chemical reduction method, is extended to the case of slow reaction rate. Nucleation in a system containing seed particles in the case where the reaction rate is slow occurs according to the following rule: homogeneous nucleation is predominant when n(p)/n(0)(*),>1 (n(p) is the seed number concentration, and n(0)(*) the number concentration of homogeneously nucleated particles without seed particles), and heterogeneous nucleation is predominant when n(p)/n(0)(*)<1. This theoretical prediction is in good agreement with the experimental results obtained for zinc sulfide particles generated by homogeneous precipitation. Copyright 2000 Academic Press.
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