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Related Concept Videos

Recrystallization: Solid–Solution Equilibria01:10

Recrystallization: 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...
Phase Transitions: Melting and Freezing02:39

Phase Transitions: Melting and Freezing

Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
Crystal Growth: Principles of Crystallization01:25

Crystal Growth: Principles of Crystallization

Crystallization is a phase transformation process in which crystals are precipitated from a supersaturated solution or formed from other sources. During crystallization, atoms or molecules arrange themselves into a well-defined, rigid crystal lattice to minimize energy.
Initiating crystallization involves manipulating the concentration of the solute and the temperature of the solution. Since crystal growth occurs when the ratio of concentration and solubility of the solute in the solvent – the...
Molecular and Ionic Solids02:54

Molecular and Ionic Solids

Crystalline solids are divided into four types: molecular, ionic, metallic, and covalent network based on the type of constituent units and their interparticle interactions.
Molecular Solids
Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...
Lattice Energies of Ionic Crystals01:27

Lattice Energies of Ionic Crystals

Lattice energy represents the energy released when gaseous cations and anions combine to form an ionic solid, reflecting the strength of electrostatic interactions within the crystal. This process is fundamentally governed by Coulombic attraction between oppositely charged ions, where the potential energy varies inversely with the interionic distance and directly with the product of ionic charges. As ions approach one another, the electrostatic energy becomes increasingly negative, indicating a...
Chemical and Solubility Equilibria02:21

Chemical and Solubility Equilibria

The free energy change associated with dissolving a solute in a liter of solvent is called the free energy of a solution, ΔGsolution. The overall ΔGsolution is expressed as the balance of ΔGinteraction against the always-favorable free-energy of mixing, ΔGmixing. Solution formation is favorable if  ΔGsolution is less than zero, whereas it is unfavorable if ΔGsolution is greater than zero. In short, for a solution to form and complete dissolution to take place, the Gibbs energy change must be...

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Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
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Crystal nucleation and the solid-liquid interfacial free energy.

Vladimir G Baidakov1, Azat O Tipeev

  • 1Institute of Thermal Physics, Ural Branch of the Russian Academy of Sciences, 106, Amundsen Street, Ekaterinburg 620016, Russia. baidakov@itp.uran.ru

The Journal of Chemical Physics
|February 25, 2012
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Summary

Molecular dynamics simulations reveal how crystal nuclei form in supercooled liquids. The effective surface energy of nuclei differs from flat interfaces, depending on temperature and pressure conditions.

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Area of Science:

  • Computational physics
  • Materials science
  • Chemical engineering

Background:

  • Crystal nucleation is fundamental to phase transitions.
  • Understanding nucleation kinetics is crucial for materials processing.
  • Classical nucleation theory provides a framework but requires experimental or simulated data.

Purpose of the Study:

  • To investigate crystal nucleation in a supercooled Lennard-Jones liquid using molecular dynamics.
  • To determine temperature and pressure dependencies of key nucleation parameters.
  • To calculate the effective surface energy of critical crystal nuclei.

Main Methods:

  • Molecular dynamics (MD) simulations were employed.
  • Simulations were performed on a supercooled Lennard-Jones liquid.
  • Classical nucleation theory was applied to analyze MD data.

Main Results:

  • Nucleation rate, Zeldovich factor, diffusion coefficient, critical nucleus radius, and pressure were determined.
  • Effective surface energy (γ(e)) was calculated.
  • It was found that γ(e) > γ(∞) at constant temperature and γ(e) < γ(∞) at constant pressure.

Conclusions:

  • The study provides insights into the thermodynamics and kinetics of crystal nucleation.
  • The effective surface energy of nuclei is sensitive to thermodynamic conditions.
  • Results highlight the limitations of classical nucleation theory for curved interfaces.