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

The de Broglie Wavelength

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...

X-ray Crystallography

X-ray Crystallography

The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...

Standing Waves in a Cavity

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:

Imperfections in Crystal Structure: Stoichiometric Point Defects

Imperfections in Crystal Structure: Stoichiometric Point Defects

Schottky defects arise when some lattice points in a crystal, such as those in NaCl, remain unoccupied, creating lattice vacancies without disturbing the overall electrical neutrality of the crystal. This defect is common in ionic crystals where the positive and negative ions are similar in size, as seen in sodium chloride and cesium chloride. The presence of Schottky defects enables the crystal to conduct electricity to a small extent through an ionic mechanism. Electric fields cause nearby...

Imperfections in Crystal Structure: Non-Stoichiometric Defects

Imperfections in Crystal Structure: Non-Stoichiometric Defects

Non-stoichiometric defects refer to a type of defect in the crystal structure of a compound where the ratio of its constituent elements deviates from the ideal stoichiometric ratio. There are two main types of non-stoichiometric defects: metal excess defects and metal deficiency defects.Metal excess defects occur when there is a slight surplus of metal ions than what is required by the stoichiometric ratio of the compound. For example, heating a sodium chloride crystal in sodium vapor results...

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration

IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration

A covalently bonded heteronuclear diatomic molecule can be modeled as two vibrating masses connected by a spring. The vibrational frequency of the bond can be expressed using an equation derived from Hooke's law, which describes how the force applied to stretch or compress a spring is proportional to the displacement of the spring. In this case, the atoms behave like masses, and the bond acts like a spring.
According to Hooke's law, the vibrational frequency is directly proportional to the...

You might also read

Related Articles

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

Sort by

Same author

Density-Functional-Based Determination of Vibrational Polarizabilities in Molecules within the Double-Harmonic Approximation: Derivation and Application.

Journal of chemical theory and computation·2015

Same author

Temperature and composition dependence of short-range order and entropy, and statistics of bond length: the semiconductor alloy (GaN)(1-x)(ZnO)(x).

Journal of physics. Condensed matter : an Institute of Physics journal·2014

Same author

Using permanent electrical safety devices.

Occupational health & safety (Waco, Tex.)·2012

Same author

Wire versus tube: stability of small one-dimensional ZnO nanostructures.

Nano letters·2007

Same author

Nanocrystalline nanowires: III. Electrons.

Nano letters·2007

Same author

Nanocrystalline nanowires: I. Structure.

Nano letters·2007

Search research articles

Related Experiment Video

Updated: Jul 17, 2026

Characterization of Nanocrystal Size Distribution using Raman Spectroscopy with a Multi-particle Phonon Confinement Model

Characterization of Nanocrystal Size Distribution using Raman Spectroscopy with a Multi-particle Phonon Confinement Model

Published on: August 22, 2015

Nanocrystalline nanowires: 2. Phonons.

Philip B Allen¹

¹Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800, USA. philip.allen@stonybrook.edu

|January 11, 2007

Summary

This study details calculations for vibrational eigenstates in nanocrystalline nanowires (NCNW). It reveals specific modes, including acoustic branches and a twiston, with unique symmetry and dispersion properties.

Area of Science:

Condensed Matter Physics
Materials Science
Nanotechnology

Background:

Nanocrystalline nanowires (NCNW) are crystalline materials with unique properties due to their one-dimensional confinement.
Understanding the vibrational dynamics of NCNW is crucial for their application in various fields.

Purpose of the Study:

To develop a method for calculating the eigenstates of nanocrystalline nanowires.
To analyze the vibrational harmonic eigenstates and their symmetry properties.

Main Methods:

A construction for calculating eigenstates based on symmetry labels (wavevector k and rotational quantum number m).
Explicit calculation of vibrational harmonic eigenstates for a model NCNW.

Main Results:

More Related Videos

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Published on: April 28, 2016

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Related Experiment Videos

Last Updated: Jul 17, 2026

Characterization of Nanocrystal Size Distribution using Raman Spectroscopy with a Multi-particle Phonon Confinement Model

Characterization of Nanocrystal Size Distribution using Raman Spectroscopy with a Multi-particle Phonon Confinement Model

Published on: August 22, 2015

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Published on: April 28, 2016

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

The longitudinal acoustic (LA) mode exhibits m=0 symmetry.
Transverse acoustic (TA) modes are doubly degenerate with m=+/-1 and show quadratic dispersion for small k.
A novel 'twiston' branch, a fourth Goldstone boson, is identified as an acoustic m=0 branch.

Conclusions:

The study provides a framework for understanding vibrational behavior in NCNW.
The identified acoustic modes and twiston branch offer insights into the unique physics of these nanomaterials.