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Related Concept Videos

Structures of Solids02:22

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...
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Cylinders in Three-Dimensional Space

A cylindrical surface is generated when a two-dimensional profile curve is translated along a straight line in three-dimensional space. The translated copies of the curve form a surface composed of parallel rulings, each oriented in the same fixed direction. This construction allows many three-dimensional forms to be described using relatively simple planar equations.In Cartesian coordinates, a cylindrical surface is often recognized by an equation that omits one of the three variables. For...
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Prochirality

The concept of prochirality leads to the nomenclature of the individual faces of a molecule and plays a crucial role in the enantioselective reaction. It is a concept where two or more achiral molecules react to produce chiral products. A typical process is the reaction of an achiral ketone to generate a chiral alcohol. Here, the achiral reactant reacts with an achiral reducing agent, sodium borohydride, to generate an equimolar mixture of the chiral enantiomers of the product. For example, an...
Three-Dimensional Analysis of Strain01:29

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Different notations are used to represent the three-dimensional structure of molecules on two-dimensional surfaces. One of the most commonly used representations is the dash-wedge formula. The dashed wedges, solid wedges, and the plane lines indicate the groups situated behind the plane, coming out of the plane, and in the plane, respectively.
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Metallic Solids

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Related Experiment Video

Updated: Jun 22, 2026

Quasistatic Mechanical Testing for Computer-Aided Design and Manufacturing Occlusal Veneers Cemented to Milled Dentin Analog Material
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Three-dimensional structures in nonlinear cavities containing left-handed materials.

Philippe Tassin, Guy Van der Sande, Nikolay Veretenov

    Optics Express
    |June 17, 2009
    PubMed
    Summary

    We investigated nonlinear light behavior in a ring cavity. Dissipative structures emerge, causing an early transition in the hysteresis cycle due to modulational instability.

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

    Published on: February 25, 2017

    Area of Science:

    • Nonlinear optics
    • Condensed matter physics
    • Photonics

    Background:

    • Nonlinear ring cavities exhibit complex light dynamics.
    • Coupling of diffraction and dispersion is crucial in nonlinear systems.
    • Kerr nonlinear materials (both right-handed and left-handed) are key components.

    Purpose of the Study:

    • To investigate the coupling between negative diffraction and direct dispersion.
    • To analyze the impact of a three-dimensional modulational instability on the system's response.
    • To understand the formation and stability of light structures within the cavity.

    Main Methods:

    • Mean field approximation to simplify the analysis.
    • Numerical simulations to observe the evolution of light distribution.
    • Analysis of the homogeneous response curve and hysteresis cycle.

    Main Results:

    • A portion of the homogeneous response curve is affected by three-dimensional modulational instability.
    • Light distribution evolves into a sequence of three-dimensional dissipative structures with varying lattice symmetry.
    • These structures exhibit instability towards an upswitching process.

    Conclusions:

    • Modulational instability significantly influences the nonlinear dynamics.
    • The formation of dissipative structures leads to a premature transition in the hysteresis cycle.
    • Understanding these phenomena is vital for designing advanced optical devices.