Related Experiment Video
Updated: May 31, 2026
10:05
Fast Grid Preparation for Time-Resolved Cryo-Electron Microscopy
Published on: November 6, 2021
A multigrid method for N-component nucleation
Dennis S van Putten1, Simon P Glazenborg, Rob Hagmeijer
1Department of Mechanical Engineering, University of Twente, Drienerlolaan 5, 7522 NB Enschede, The Netherlands. Dennis.vanPutten@twisterbv.com
The Journal of Chemical Physics
|July 13, 2011
Summary
A new multigrid algorithm efficiently solves cluster size distributions for N-component nucleation. This method enables simulations of complex systems and provides insights into nucleation dynamics, validating existing theories.
Area of Science:
- Physical Chemistry
- Computational Physics
- Chemical Engineering
Background:
- The Becker-Döring equations model nucleation phenomena.
- Simulating multi-component nucleation systems is computationally intensive.
- Existing nucleation theories require validation for complex systems.
Purpose of the Study:
- To develop an efficient multigrid algorithm for solving the cluster size distribution in N-component nucleation.
- To enable feasible simulations of many-component nucleating systems.
- To validate existing nucleation theories and gain insight into non-steady state nucleation.
Main Methods:
- Development of a multigrid algorithm tailored for the Becker-Döring equations.
- Theoretical derivation applicable to an arbitrary number of condensing components.
- Simulation of steady-state and non-steady-state ternary nucleation problems.
Main Results:
- The multigrid algorithm significantly enhances the efficiency of solving cluster size distributions.
- The method allows for the simulation of complex, many-component nucleation systems.
- Analysis of ternary nucleation revealed that the main nucleation flux bypasses the saddle point in ideal mixtures.
Conclusions:
- The developed multigrid algorithm provides an efficient computational tool for multi-component nucleation studies.
- The findings validate and extend the applicability of current nucleation theories.
- The study offers new insights into the transient dynamics of nucleation processes.
Related Concept Videos
01:16Precipitate Formation and Particle Size Control
In precipitation gravimetry, the precipitating agent should react specifically or selectively with the analyte. While a specific reagent reacts with the analyte alone, a selective reagent can react with a limited number of chemical species.
The obtained precipitate should be either a pure substance of known composition or easily converted to one by a simple process, such as ignition or drying. In addition, the precipitate should be insoluble and easily filterable. In general, filterability...
The obtained precipitate should be either a pure substance of known composition or easily converted to one by a simple process, such as ignition or drying. In addition, the precipitate should be insoluble and easily filterable. In general, filterability...
01:24One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
On...
01:08Vector Algebra: Method of Components
It is cumbersome to find the magnitudes of vectors using the parallelogram rule or using the graphical method to perform mathematical operations like addition, subtraction, and multiplication. There are two ways to circumvent this algebraic complexity. One way is to draw the vectors to scale, as in navigation, and read approximate vector lengths and angles (directions) from the graphs. The other way is to use the method of components.
In many applications, the magnitudes and directions of...
In many applications, the magnitudes and directions of...
01:10Recrystallization: Solid–Solution Equilibria
Recrystallization is a purification technique used to separate impurities from solid compounds. In this technique, no chemical reactions occur. Instead, it exploits physical properties only, specifically, the solubility differences between the desired compound and impurities, either at a single temperature or at different temperatures, and under other selected conditions. The solid-solution equilibrium (solubility equilibrium) of each component in the solution represents a binary phase...
01:03Step-Growth Polymerization: Overview
Step-growth or condensation polymerization is a stepwise reaction of bi or multifunctional monomers to form long-chain polymers. As all the monomers are reactive, most of the monomers are consumed at the early stages of the reaction to form small chains of reactive oligomers, which then combine to form long polymer chains in the late stages. Hence, the reaction has to proceed for a long time to achieve high molecular weight polymers.
Many natural and synthetic polymers are produced by...
Many natural and synthetic polymers are produced by...
01:17Ziegler–Natta Chain-Growth Polymerization: Overview
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 catalyst, high molecular...