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Related Concept Videos

Van der Waals Interactions01:24

Van der Waals Interactions

Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.Polar molecules have a partial positive charge on one end and a partial negative charge on the other end of the molecule,...
Van der Waals Equation01:10

Van der Waals Equation

The ideal gas law is an approximation that works well at high temperatures and low pressures. The van der Waals equation of state (named after the Dutch physicist Johannes van der Waals, 1837−1923) improves it by considering two factors.
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...
Valence Bond Theory02:42

Valence Bond Theory

Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
Metal-Semiconductor Junctions01:24

Metal-Semiconductor Junctions

The contact of metal and semiconductor can lead to the formation of a junction with either Schottky or Ohmic behavior.
Schottky Barriers
Schottky barriers arise when a metal with a work function (Φm) contacts a semiconductor with a different work function (Φs). Initially, electrons transfer until the Fermi levels of the metal and semiconductor align at equilibrium. For instance, if Φm > Φs, the semiconductor Fermi level is higher than the metal's before contact. The semiconductor's...
The de Broglie Wavelength02:32

The de Broglie Wavelength

In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
Intermolecular Forces03:13

Intermolecular Forces

Atoms and molecules interact through bonds (or forces): intramolecular and intermolecular. The forces are electrostatic as they arise from interactions (attractive or repulsive) between charged species (permanent, partial, or temporary charges) and exist with varying strengths between ions, polar, nonpolar, and neutral molecules. The different types of intermolecular forces are ion–dipole, dipole–dipole, hydrogen bonds, and dispersion; among these, dipole–dipole, hydrogen bonds, and dispersion...

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Optical Trapping of Nanoparticles
13:39

Optical Trapping of Nanoparticles

Published on: January 15, 2013

Van der Waals versus optical interaction between metal nanoparticles.

Lukas Novotny1, Carsten Henkel

  • 1The Institute of Optics, University of Rochester, Rochester, New York 14627, USA.

Optics Letters
|May 3, 2008
PubMed
Summary

This study presents calculations for the Casimir-Polder potential and light-induced interactions between metal nanoparticles. These interactions can be comparable to thermal energy and depend on plasma frequency and laser intensity.

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Area of Science:

  • Condensed matter physics
  • Nanotechnology
  • Quantum optics

Background:

  • The Casimir-Polder potential describes the van der Waals interaction between neutral atoms and surfaces.
  • Understanding nanoparticle interactions is crucial for designing nanoscale devices and materials.
  • Light-induced forces play a significant role in manipulating nanoparticles.

Purpose of the Study:

  • To derive closed-form expressions for the Casimir-Polder potential between metal nanoparticles.
  • To analyze the light-induced interaction (gradient force) between metal nanoparticles.
  • To compare the strengths of these interactions under various conditions.

Main Methods:

  • Derivation of analytical expressions for interaction potentials.
  • Application of the dipole approximation for nanoparticle interactions.
  • Analysis of interaction energy dependence on plasma frequency and light intensity.

Main Results:

  • The maximum Casimir-Polder interaction energy is proportional to the plasma frequency.
  • This interaction energy is comparable to thermal energy at room temperature (300 K).
  • Light-induced interaction scales linearly with light intensity, becoming comparable to Casimir-Polder forces at high laser intensities (10-100 mW/μm²).

Conclusions:

  • Closed expressions for Casimir-Polder and light-induced potentials between metal nanoparticles have been obtained.
  • The findings highlight the significance of both van der Waals and light-gradient forces in nanoparticle interactions.
  • The study provides insights into controlling nanoparticle assembly and behavior using light fields.