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Related Concept Videos

Hybridization of Atomic Orbitals I03:24

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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
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Hydrocarbons such as alkanes, alkenes, and alkynes show characteristic C–H stretching absorption bands. These IR stretching frequencies depend on the hybridization of the involved carbon atom and can be explained in terms of the s character of each hybridized atomic orbital.
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Related Experiment Video

Updated: Apr 16, 2026

Determination of the Excitation and Coupling Rates Between Light Emitters and Surface Plasmon Polaritons
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Nonlocal study of ultimate plasmon hybridization.

Søren Raza, Martijn Wubs, Sergey I Bozhevolnyi

    Optics Letters
    |February 28, 2015
    PubMed
    Summary

    We explored plasmonic dimers using a generalized nonlocal optical response (GNOR) model. Nonlocality limits plasmon hybridization in touching dimers, with a new analytical equation for resonance energies.

    Area of Science:

    • Plasmonics
    • Nanophotonics
    • Condensed Matter Physics

    Background:

    • Optical properties of metallic nanoparticles are crucial for nanophotonics.
    • Plasmonic dimers exhibit unique optical responses due to interparticle coupling.
    • Nonlocal optical effects become significant at the nanoscale.

    Purpose of the Study:

    • To investigate the impact of nonlocality on plasmon hybridization in metallic dimers.
    • To analyze the transition from separated to overlapping plasmonic dimers.
    • To derive an analytical model for resonance energies in touching dimers.

    Main Methods:

    • Generalized nonlocal optical response (GNOR) model incorporating convective and diffusive electron currents.
    • Analysis of plasmonic dimers across different configurations (separated, touching, overlapping).

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  • Application of transformation optics to derive analytical expressions.
  • Main Results:

    • A fundamental limit on the hybridization of bonding plasmon modes in touching dimers due to nonlocality was identified.
    • The study provides a detailed analysis of the transition in optical response as dimer separation changes.
    • A simple analytical equation for resonance energies was successfully derived.

    Conclusions:

    • Nonlocality plays a critical role in dictating plasmon hybridization, especially in touching dimers.
    • The GNOR model offers a more accurate description of nanoscale plasmonic phenomena.
    • The derived analytical equation simplifies the prediction of resonance energies for touching plasmonic dimers.