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Related Concept Videos

Standing Waves01:17

Standing Waves

5.3K
Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...
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Standing Electromagnetic Waves01:15

Standing Electromagnetic Waves

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Electromagnetic waves can be reflected; the surface of a conductor or a dielectric can act as a reflector. As electric and magnetic fields obey the superposition principle, so do electromagnetic waves. The superposition of an incident wave and a reflected electromagnetic wave produces a standing wave analogous to the standing waves created on a stretched string.
Suppose a sheet of a perfect conductor is placed in the yz-plane, and a linearly polarized electromagnetic wave traveling in the...
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Standing Waves in a Cavity01:28

Standing Waves in a Cavity

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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:
1.4K
Modes of Standing Waves: II01:04

Modes of Standing Waves: II

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The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
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Modes of Standing Waves - I01:03

Modes of Standing Waves - I

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A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This...
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Dimensional Analysis03:40

Dimensional Analysis

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Dimensional analysis, also known as the factor label method, is a versatile approach for mathematical operations. The main principle behind this approach is: the units of quantities must be subjected to the same mathematical operations as their associated numbers. This method can be applied to computations ranging from simple unit conversions to more complex and multi-step calculations involving several different quantities and their units.
Conversion Factors and Dimensional Analysis
The unit...
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Updated: Jan 23, 2026

Gold Nanoparticle Synthesis
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Gold Nanoparticle Synthesis

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Free-standing Monatomic Thick Two-dimensional Gold.

Xuelu Wang1,2, Chunyang Wang1,3, Chunjin Chen1,2

  • 1Shenyang National Laboratory for Materials Science , Institute of Metal Research, Chinese Academy of Sciences , Shenyang 110016 , China.

Nano Letters
|June 27, 2019
PubMed
Summary
This summary is machine-generated.

Researchers fabricated robust, free-standing gold (Au) membranes and nanoribbons. These monatomic-thick structures exhibit ferromagnetism, offering new avenues for advanced materials discovery.

Keywords:
2D materialscoordination numberdealloyingelectronic devicestransmission electron microscopy

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Nanotechnology

Background:

  • Monolayer metal membranes exhibit unique physical properties.
  • Exfoliating metallic monolayers is challenging due to strong metallic bonding.

Purpose of the Study:

  • To develop a method for fabricating free-standing monatomic-thick metal membranes and nanoribbons.
  • To investigate the physical properties, including magnetism, of these novel gold nanostructures.

Main Methods:

  • In situ dealloying within a transmission electron microscope (TEM).
  • Fabrication of free-standing gold membranes and nanoribbons framed in bulk crystals.
  • First-principles calculations to determine magnetic properties.

Main Results:

  • Successfully fabricated robust, monatomic-thick gold membranes and nanoribbons down to 0.6 nm width.
  • Observed ferromagnetism in zigzag-edged nanoribbons with magnetic moments of 0.38-0.51 μB.
  • Directly investigated the linear relationship between bond length and coordination number.

Conclusions:

  • The in situ dealloying method enables direct fabrication of metal membranes and nanoribbons.
  • These gold nanostructures possess novel physical properties, including magnetism.
  • Opens pathways for creating advanced metallic nanomaterials with tunable characteristics.