Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Newman Projections

Newman Projections

Different notations are used to represent the three-dimensional structure of molecules on two-dimensional surfaces. One of the most commonly used representations is the dash-wedge formula. The dashed wedges, solid wedges, and the plane lines indicate the groups situated behind the plane, coming out of the plane, and in the plane, respectively.
The organic molecules rotate across the single bonds leading to numerous temporary three-dimensional structures of varying energy known as...

VSEPR Theory and the Basic Shapes

VSEPR Theory and the Basic Shapes

Overview of VSEPR Theory

You might also read

Related Articles

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

Sort by

Same author

Toward Predictive Theory in Single-Atom Catalysis.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)·2026

Same author

Phases and Architectures in Metal/Metal Oxide Systems Driven by Strong Metal-Support Interactions.

ACS physical chemistry Au·2026

Same author

Challenges and Opportunities of Pretrained Machine Learning Interatomic Potentials in Heterogeneous Catalysis.

ACS catalysis·2026

Same author

Distinct pattern of comorbidities hinders treatment target attainment in SLE through persistent disease activity and delayed glucocorticoid tapering: longitudinal data from a multicentre cohort study.

RMD open·2026

Same author

Single atoms of indium on hafnia enable superior CO<sub>2</sub>-based methanol synthesis.

Nature nanotechnology·2026

Same author

Interfacial Adsorbate Competition Regulates Intermediate Stabilization and Onset Potential in Acidic CO<sub>2</sub> Electroreduction.

Journal of the American Chemical Society·2026

Same journal

Cross-scale design of chemosensor arrays: from molecular self-assembly in water to paper-based devices for metal ion detection.

Beilstein journal of nanotechnology·2026

Same journal

Sustainable fabrication of 2D-based devices through reuse of substrates with microfabricated electrodes.

Beilstein journal of nanotechnology·2026

Same journal

Tuning the electronic properties of defect-rich MoS<sub>2</sub>.

Beilstein journal of nanotechnology·2026

Same journal

Glycerol photoelectrochemical oxidation reaction at carbon nitrides/BiVO<sub>4</sub> materials.

Beilstein journal of nanotechnology·2026

Same journal

Restorative potential of laser-synthesized silver nanoparticles with <i>Salvia officinalis</i> for periodontal disease treatment: an in vitro study.

Beilstein journal of nanotechnology·2026

Same journal

Substrate-dependent pore formation in molybdenum disulfide monolayers under ion irradiation.

Beilstein journal of nanotechnology·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Apr 15, 2026

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations

Published on: October 12, 2019

Nanoparticle shapes by using Wulff constructions and first-principles calculations.

Georgios D Barmparis¹, Zbigniew Lodziana², Nuria Lopez³

¹Department of Materials Science and Technology, University of Crete, Heraklion, 71003, Greece ; Department of Physics and Astronomy, Vanderbilt University, Nashville, TN, 37235, USA.

Beilstein Journal of Nanotechnology

|March 31, 2015

Summary

This summary is machine-generated.

Wulff construction predicts nanoparticle shape based on surface energies. This powerful tool, especially with first-principles calculations, helps tailor material properties by controlling nanoparticle form.

Keywords:

Wulff construction density functional theory (DFT)hydrogen storage multi-scale simulations nanoparticles surface energies surfactants

More Related Videos

Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders

Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders

Published on: December 4, 2020

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Published on: October 16, 2017

Related Experiment Videos

Last Updated: Apr 15, 2026

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations

Published on: October 12, 2019

Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders

Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders

Published on: December 4, 2020

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Published on: October 16, 2017

Area of Science:

Materials Science
Nanotechnology
Physical Chemistry

Background:

Advanced materials frequently incorporate nanoparticles, whose properties are dictated by size and shape.
Wulff construction is a key method for predicting nanoparticle equilibrium shapes from surface energies.

Purpose of the Study:

To review Wulff construction's mathematical formulation and applications over the past two decades.
To highlight recent extensions of Wulff construction in catalysis, colloidal suspensions, and hydrogen storage.

Main Methods:

Review of Wulff construction's mathematical framework.
Analysis of Wulff construction applications in heterogeneous catalysis, ligand-protected nanoparticles, and metal hydride nanoparticles.
Integration with first-principles calculations for enhanced predictive power.

Main Results:

Wulff construction has been extensively applied in predicting nanoparticle shapes.
Recent extensions address active sites in metal nanoparticles for catalysis.
Applications include ligand-protected nanoparticles and complex metal hydrides for hydrogen storage.

Conclusions:

Wulff construction is a potent tool for analyzing and predicting nanoparticle shapes.
Linking Wulff construction with first-principles calculations enhances its predictive capabilities.
This approach enables the tailoring of material properties through shape control of nanoparticles.