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Related Concept Videos

SN2 Reaction: Kinetics02:14

SN2 Reaction: Kinetics

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Kinetic Studies and Significance
In a chemical reaction, a relationship exists between the concentration of reactants and the rate at which the reaction proceeds. The study to measure this relationship is known as the kinetics of a chemical reaction. Kinetic studies are used to deduce the rate law of a chemical reaction, which provides information about the species involved during the transition state of the rate-determining step. Thus, kinetic studies help to derive the mechanism of a...
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SN1 Reaction: Kinetics02:05

SN1 Reaction: Kinetics

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In an SN2 reaction, the reaction rate depends on both the type of nucleophile and the substrate. A hindered tertiary alkyl halide is practically inert to the SN2 mechanism despite using a strong nucleophile.
However, Sir Christopher Ingold and Edward D. Hughes, who studied the kinetics of various nucleophilic substitution reactions, noticed that a tertiary alkyl halide does undergo a nucleophilic substitution reaction in the presence of a weak nucleophile. While studying the substitution...
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Ziegler–Natta Chain-Growth Polymerization: Overview01:17

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Ziegler–Natta polymerization is another form of addition or chain‐growth polymerization used for synthesizing linear polymers over branched polymers. The catalyst used for polymerization is the Ziegler–Natta catalyst, named after Karl Ziegler and Giulio Natta, who developed it in 1953. This catalyst is an organometallic complex of titanium tetrachloride and triethyl aluminum, with the active form of the catalyst being an alkyl titanium compound. Using the Ziegler–Natta...
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Complexation Equilibria: The Chelate Effect01:19

Complexation Equilibria: The Chelate Effect

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In complexation reactions, metal atoms or cations interact with ligands to form donor-acceptor adducts called metal complexes. Ligands that bind through one donor site are monodentate, ligands with two donor sites are bidentate, and those with more than two donor sites are polydentate ligands. For example, ethylene diamine is a bidentate ligand that binds through two nitrogen donor atoms, forming a five-membered ring. EDTA is a polydentate ligand that binds through four oxygen and two nitrogen...
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Ligand Binding Sites02:40

Ligand Binding Sites

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Proteins are dynamic macromolecules that carry out a wide variety of essential processes; however, the activities of most proteins depend on their interactions with other molecules or ions, known as ligands.
Protein-ligand interactions are quite specific; even though numerous potential ligands surround a cellular protein at any given time, only a particular ligand can bind to that protein. Moreover, a ligand binds only to a dedicated area on the surface of the protein, known as the...
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Predicting Products: SN1 vs. SN202:27

Predicting Products: SN1 vs. SN2

13.7K
Nucleophilic substitution reactions of alkyl halides can proceed via an SN1 or an SN2 mechanism. While in SN2 reactions, the nucleophile attacks the substrate simultaneously as the leaving group departs, in SN1 reactions, the substrate first dissociates to give the carbocation intermediate. Various factors such as the structure of the substrate, the strength of the nucleophile, and the nature of the solvent promote one mechanism over the other.
With increased substitution on the alkyl halide,...
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Updated: Aug 22, 2025

Ligand-Mediated Nucleation and Growth of Palladium Metal Nanoparticles
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Ligand-Mediated Nucleation and Growth of Palladium Metal Nanoparticles

Published on: June 25, 2018

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Ligancy effects on nucleation kinetics.

L G Rizzi1, G Viegas1, S Auer2

  • 1Departamento de Física, Universidade Federal de Viçosa, CEP: 36570-000 Viçosa, MG, Brazil.

The Journal of Chemical Physics
|November 8, 2022
PubMed
Summary
This summary is machine-generated.

This study uses kinetic Monte Carlo simulations to investigate particle nucleation into crystalline structures. We found that critical nucleus size and nucleation rate depend non-trivially on supersaturation, influenced by particle ligancy.

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Area of Science:

  • Materials Science
  • Physical Chemistry
  • Computational Physics

Background:

  • Particle nucleation into crystalline structures is a fundamental process observed across diverse systems, including metals, metal-organic frameworks, colloids, and polymers.
  • Understanding nucleation kinetics is crucial for controlling material properties and synthesis.

Purpose of the Study:

  • To investigate the nucleation kinetics of particles with varying ligancies (z) at constant supersaturation (s).
  • To determine key physico-chemical quantities such as growth probability P(n), critical nucleus size n*, and stationary nucleation rate Js as a function of supersaturation.
  • To rationalize numerical results using a self-consistent nucleation theory.

Main Methods:

  • Kinetic Monte Carlo (KMC) simulations were employed to model the nucleation process.
  • Simulations were conducted at a constant level of supersaturation (s).
  • The study focused on particles with different ligancies (z).

Main Results:

  • The critical nucleus size (n*) and stationary nucleation rate (Js) exhibit a non-trivial dependence on supersaturation (s).
  • Growth probability P(n) was determined as a function of supersaturation.
  • Effective z-dependent parameters were identified that govern the nucleation behavior.

Conclusions:

  • The study provides a theoretical framework, based on self-consistent nucleation theory, to understand and predict particle crystallization.
  • Nucleation kinetics are effectively controlled by particle ligancy and supersaturation levels.
  • The findings offer insights into the fundamental mechanisms governing crystal formation in various materials.