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Jellium information


Jellium, also known as the uniform electron gas (UEG) or homogeneous electron gas (HEG), is a quantum mechanical model of interacting electrons in a solid where the positive charges (i.e. atomic nuclei) are assumed to be uniformly distributed in space; the electron density is a uniform quantity as well in space. This model allows one to focus on the effects in solids that occur due to the quantum nature of electrons and their mutual repulsive interactions (due to like charge) without explicit introduction of the atomic lattice and structure making up a real material. Jellium is often used in solid-state physics as a simple model of delocalized electrons in a metal, where it can qualitatively reproduce features of real metals such as screening, plasmons, Wigner crystallization and Friedel oscillations.

At zero temperature, the properties of jellium depend solely upon the constant electronic density. This property lends it to a treatment within density functional theory; the formalism itself provides the basis for the local-density approximation to the exchange-correlation energy density functional.

The term jellium was coined by Conyers Herring in 1952, alluding to the "positive jelly" background, and the typical metallic behavior it displays.[1]

  1. ^ Hughes, R. I. G. (2006). "Theoretical Practice: the Bohm-Pines Quartet" (PDF). Perspectives on Science. 14 (4): 457–524. doi:10.1162/posc.2006.14.4.457. S2CID 57569991.

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Jellium

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Jellium, also known as the uniform electron gas (UEG) or homogeneous electron gas (HEG), is a quantum mechanical model of interacting electrons in a solid...

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from the substrate surface itself and modified by Z0. Table 1 shows the jellium model calculation for van der Waals constant Cv and dynamical image plane...

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the earliest successful models for metal work function trends was the jellium model, which allowed for oscillations in electronic density nearby the...

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red-shift of the CO stretching frequencies in the infrared spectra. In the Jellium model, the electron density and the interaction between electrons and positive...

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Wigner crystal

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of electrons moving in a uniform, inert, neutralizing background (i.e. Jellium Model) will crystallize and form a lattice if the electron density is less...

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Laughlin wavefunction

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placed in a uniform background magnetic field in the presence of a uniform jellium background when the filling factor of the lowest Landau level is ν = 1...

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Superatom

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each remove one of the itinerant electrons to leave 40 electrons in the jellium shell. It is particularly easy and reliable to study atomic clusters of...

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Free electron model

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Two-dimensional electron gas Bose–Einstein statistics Fermi surface White dwarf Jellium Citations Ashcroft & Mermin 1976, Ch. 2 & Ch. 3 Ashcroft & Mermin 1976...

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Fermi gas

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effective mass and magnetic moment. Bose gas Fermionic condensate Gas in a box Jellium Two-dimensional electron gas Fermi, E. (1926-11-01). "Zur Quantelung des...

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Nanocluster

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Brack, M (1993). "The physics of simple metal clusters: self-consistent jellium model and semiclassical approaches" (PDF). Rev. Mod. Phys. 65 (3): 677...

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εC(n↑, n↓) have been constructed from quantum Monte Carlo simulations of jellium. A simple first-principles correlation functional has been recently proposed...

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Dirac equation

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negative-energy electrons is exactly canceled by an infinite positive "jellium" background so that the net electric charge density of the vacuum is zero...

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Joshua Melko

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Atomic-Level Dynamics AlnBi Clusters: Transitions Between Aromatic and Jellium Stability Evaluation of the exothermicity of the chemi-ionization reaction...

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Elias Burstein

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and Nonlinear electromagnetic Phenomena at Noble Metal Surfaces: Beyond Jellium”, M.Y. Jiang, G. Pajer and E.Burstein, Proc. Yamada Conf. on "The Surface...

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Zintl phase

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to atomic orbitals—that describe the clusters as pseduo elements. The Jellium model uses a spherical potential from the nuclei to give orbitals with...

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Surface second harmonic generation

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Since electron interactions are responsible for the SHG response, the jellium model is usually numerically solved using Density Functional Theory to...

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List of plasma physics articles

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spectrometry (MC-ICP-MS) ITER, International Thermonuclear Experimental Reactor Jellium, uniform electron gas, homogeneous electron gas Jet (particle physics)...

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Timir Datta

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and worked with John Perdew on the behavior of charge density waves in jellium. Datta is of Bengali origin. Datta was a NSF post-doctoral fellow with...

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Elisabeth Gwinn

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Bibcode:2006ApPhL..89k2508C. doi:10.1063/1.2236935. Asmar NG, Gwinn EG (August 1992). "Jellium surfaces in AlxGa1-xAs heterostructures". Physical Review B. 46 (8): 4752–4756...

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