Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
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...
Metallic Solids02:37

Metallic Solids

Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability. Many...
The Seven Crystal Systems: Overview01:24

The Seven Crystal Systems: Overview

Crystals with various point group symmetries belong to different crystal classes, which are synonymous terms. Despite being in the same class, crystals may have distinct shapes, like cubes and octahedra. There are 32 three-dimensional point groups, all of which are systematically divided into seven crystal systems.The basic cubic crystal system, exemplified by NaCl, features orthogonal vectors (α = β = �� = 90°) of equal lengths (a = b = c). When specific requirements are not imposed on the...
Unit Cells01:18

Unit Cells

A crystal's internal structure is an orderly array of atoms, ions, or molecules, and the details of this array significantly influence the solid's properties. In a crystal, periodically repeating 'structural motifs' - which could be atoms, molecules, or groups thereof - create a 'space lattice.' This is essentially a three-dimensional, infinite array of points, each surrounded by its neighbors in an identical way, forming the basic structure of the crystal.A 'unit cell' is a theoretical...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Timescales for stochastic barrier crossing: Inferring the potential from nonequilibrium data.

The Journal of chemical physics·2025
Same author

Contributions to single-shot energy exchanges in open quantum systems.

Physical review. E·2019
Same author

Comment on 'Nonlocal statistical field theory of dipolar particles in electrolyte solutions'.

Journal of physics. Condensed matter : an Institute of Physics journal·2018
Same author

Flux-tunable heat sink for quantum electric circuits.

Scientific reports·2018
Same author

Evolution of Temporal Coherence in Confined Exciton-Polariton Condensates.

Physical review letters·2018
Same author

Multivalent cation induced attraction of anionic polymers by like-charged pores.

The Journal of chemical physics·2017
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

Related Experiment Video

Updated: Jun 5, 2026

Optimization of Crystal Growth for Neutron Macromolecular Crystallography
12:29

Optimization of Crystal Growth for Neutron Macromolecular Crystallography

Published on: March 13, 2021

Eighth-order phase-field-crystal model for two-dimensional crystallization.

A Jaatinen1, T Ala-Nissila

  • 1Department of Applied Physics, Aalto University School of Science, P.O. Box 11000, FI-00076 Aalto, Finland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2011
PubMed
Summary
This summary is machine-generated.

We derived an eighth-order phase-field crystal model for solid crystallization. This model accurately predicts crystal growth properties, offering an efficient approximation for density functional theory.

More Related Videos

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
08:55

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses

Published on: June 7, 2018

On-Chip Crystallization and Large-Scale Serial Diffraction at Room Temperature
07:42

On-Chip Crystallization and Large-Scale Serial Diffraction at Room Temperature

Published on: March 11, 2022

Related Experiment Videos

Last Updated: Jun 5, 2026

Optimization of Crystal Growth for Neutron Macromolecular Crystallography
12:29

Optimization of Crystal Growth for Neutron Macromolecular Crystallography

Published on: March 13, 2021

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
08:55

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses

Published on: June 7, 2018

On-Chip Crystallization and Large-Scale Serial Diffraction at Room Temperature
07:42

On-Chip Crystallization and Large-Scale Serial Diffraction at Room Temperature

Published on: March 11, 2022

Area of Science:

  • Materials Science
  • Computational Physics
  • Chemical Engineering

Background:

  • Crystallization processes are fundamental in materials science and engineering.
  • Phase-field crystal (PFC) models offer a mesoscopic approach to simulate these phenomena.
  • Accurate and efficient models are crucial for understanding and predicting material behavior.

Purpose of the Study:

  • To derive and validate a new eighth-order phase-field crystal model.
  • To investigate the planar growth of two-dimensional hexagonal crystals.
  • To compare the model's performance against established methods like dynamical density functional theory (DDPT).

Main Methods:

  • Derivation of an eighth-order phase-field crystal model.
  • Simulation of two-dimensional hexagonal crystal growth.
  • Comparison of results with DDPT and other PFC models.

Main Results:

  • The eighth-order PFC model shows good agreement with DDPT for static and dynamic properties.
  • The model accurately captures the planar growth of hexagonal crystals.
  • The proposed model is a computationally efficient approximation to DDPT.

Conclusions:

  • The eighth-order phase-field crystal model is a reliable tool for studying crystallization.
  • This model provides an accurate and efficient alternative to DDPT for specific applications.
  • Further research can explore its application to more complex material systems.