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

Molecular and Ionic Solids

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...

Energy Bands in Solids

Energy Bands in Solids

Isolated atoms have discrete energy levels that are well described by the Bohr model. And, it quantifies the energy of an electron in a hydrogen atom as En. Higher quantum numbers 'n' yield less negative, closer electron energy levels.
Band Formation:
When atoms are brought close together, as in a solid, these discrete energy levels begin to split due to the overlap of electron orbitals from adjacent atoms. This split occurs because of the Pauli exclusion principle, which states...

First Law: Particles in One-dimensional Equilibrium

First Law: Particles in One-dimensional Equilibrium

Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...

First Law: Particles in Two-dimensional Equilibrium

First Law: Particles in Two-dimensional Equilibrium

Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...

Structures of Solids

Structures of Solids

Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...

Trends in Lattice Energy: Ion Size and Charge

Trends in Lattice Energy: Ion Size and Charge

An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:

You might also read

Related Articles

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

Sort by

Same author

Development and Internal Validation of a Nomogram Model Discriminating Liver Metastases of Melanoma From Other Common Liver Metastases Based on the Combination of Conventional Ultrasonography and Contrast-enhanced Ultrasonography.

Academic radiology·2026

Same author

L-Tartaric acid mitigates diabetic cardiac damage and is associated with changes in autophagy, apoptosis, and inflammatory markers.

Scientific reports·2026

Same author

Novel MOF-Derived Core-Shell Bismuth Anode Enabling Fast and Durable Lithium Storage.

Small (Weinheim an der Bergstrasse, Germany)·2026

Same author

Disrupted white zones with irregular microvasculature on magnifying endoscopy: a case of immune checkpoint inhibitor-related gastritis with multimodal imaging correlation.

Gastrointestinal endoscopy·2026

Same author

Potentiation of the altered immune microenvironment following RF ablation of murine distant tumors with CTLA-4 immunotherapy.

European radiology experimental·2026

Same author

Artificial Intelligence-Enhanced Electrocardiogram for Longitudinal Evaluation of Right Ventricular Dysfunction After Acute Pulmonary Embolism: Rational and Design of CURES-CARE Study.

Pulmonary circulation·2026

Search research articles

Related Experiment Video

Updated: May 29, 2025

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

Exactly Solvable Mobility Edges for Phonons in One-Dimensional Quasiperiodic Chains.

Yizhi Hu¹, Yong Xu^2,3,4,5, Kun Yan¹

¹School of Science, State Key Laboratory on Tunable Laser Technology and Ministry of Industry and Information Technology Key Lab of Micro-Nano Optoelectronic Information System, Harbin Institute of Technology, Shenzhen, Shenzhen 518055, China.

|February 3, 2025

Summary

Researchers found exact mobility edges in 1D spring-mass chains, demonstrating Anderson localization for phonons. This discovery opens new avenues for studying phonon localization and its physical implications.

Keywords:

Anderson localization mass modulation mobility edges phononic system spring-mass model

More Related Videos

High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy

High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy

Published on: June 28, 2016

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

Related Experiment Videos

Last Updated: May 29, 2025

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

High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy

High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy

Published on: June 28, 2016

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

Area of Science:

Condensed matter physics
Disordered systems
Phononics

Background:

Mobility edges define transitions between extended and localized states in physical systems.
Exact mobility edges are rare, and phonon localization remains under-explored.
Understanding localization is key in condensed matter physics.

Purpose of the Study:

To analytically reveal mobility edges in one-dimensional quasiperiodic-modulated spring-mass chains.
To investigate Anderson localization transitions in phonon systems.
To provide a foundation for experimental studies on phonon localization.

Main Methods:

Exact analytical solutions for mobility edges.
Numerical validation using eigenfrequency spectra.
Analysis of inverse/normalized participation ratios.
Examination of lattice wave dynamics.

Main Results:

Analytical mobility edges were successfully identified in the studied system.
The findings were rigorously validated through multiple numerical methods.
The research confirms the occurrence of Anderson localization in phonon systems.

Conclusions:

The study analytically demonstrates mobility edges in 1D quasiperiodic chains.
This work establishes Anderson localization in phonon systems.
The findings pave the way for future experimental investigations into phonon localization.