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Related Concept Videos

Symmetry Elements in a Crystal01:27

Symmetry Elements in a Crystal

Crystal symmetry operations are isometric transformations that map objects onto indistinguishable copies while preserving distances, angles, and volumes. The simplest symmetry operation is translation, which shifts the entire infinite crystal lattice parallelly by a translation vector.Crystallographic rotations involve rotations by an angle of 2π/n around an axis without changing the positions of points on the axis. It is called the rotational axis of the symmetry, denoted by n. The combination...
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...
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...
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...
Crystal Density01:19

Crystal Density

The crystal lattice structure of a material allows us to determine how many molecules exist in its unit cell. With this information, alongside the unit-cell parameters - three distance parameters (a, b, c) and three angular parameters (α, β, γ).Density (ρ) = (Z × M) / (a × b × c × NA)where:Z is the number of formula units per unit cellM is the molar mass of the substancea, b, and c are the edge lengths of the unit cellNA is Avogadro’s numberFor a simple cubic lattice, atoms are located only at...
Standing Waves in a Cavity01:28

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:

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Related Experiment Video

Updated: Jun 16, 2026

Fabrication of 1-D Photonic Crystal Cavity on a Nanofiber Using Femtosecond Laser-induced Ablation
13:02

Fabrication of 1-D Photonic Crystal Cavity on a Nanofiber Using Femtosecond Laser-induced Ablation

Published on: February 25, 2017

One-dimensional hypersonic phononic crystals.

N Gomopoulos1, D Maschke, C Y Koh

  • 1Max-Planck-Institute for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany.

Nano Letters
|February 10, 2010
PubMed
Summary
This summary is machine-generated.

Researchers observed a phononic band gap in a multilayer film at gigahertz frequencies. This finding, using Brillouin spectroscopy, opens avenues for novel phononic devices.

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Last Updated: Jun 16, 2026

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10:35

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:

  • Materials Science
  • Acoustics
  • Nanotechnology

Background:

  • Periodic multilayer structures are investigated for their unique wave propagation properties.
  • Phononic band gaps, frequency ranges where elastic waves are forbidden, are crucial for phononic device applications.
  • Gigahertz frequency phononics presents opportunities for advanced signal processing and sensing.

Purpose of the Study:

  • To experimentally observe a normal incidence phononic band gap in a one-dimensional periodic SiO(2)/poly(methyl methacrylate) multilayer film.
  • To investigate the elastic wave propagation behavior in the film at gigahertz frequencies.
  • To explore the potential of the film's porous structure for introducing secondary active media.

Main Methods:

  • Brillouin spectroscopy was employed for experimental observation of the phononic band gap.
  • One-dimensional periodic multilayer films of SiO(2) and poly(methyl methacrylate) were fabricated.
  • Numerical simulations were used to validate the observed phononic properties.

Main Results:

  • A normal incidence phononic band gap was experimentally observed at gigahertz frequencies.
  • A band gap to midgap ratio of 0.30 was determined for elastic wave propagation along the periodicity direction.
  • In-plane elastic wave propagation exhibited effective medium behavior.
  • Numerical simulations accurately reproduced the experimental phononic properties.

Conclusions:

  • The study successfully demonstrated a phononic band gap in a SiO(2)/poly(methyl methacrylate) multilayer film at gigahertz frequencies.
  • The film's structure supports distinct elastic wave behaviors depending on propagation direction.
  • The porous silica layers offer potential for integrating active media for phonon coupling with other excitations.