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Free electron model
About: Free electron model is a research topic. Over the lifetime, 4678 publications have been published within this topic receiving 103535 citations.
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TL;DR: In this article, the bulk magnetic susceptibility, the EPR susceptibility, and the 13C nuclear spin-lattice relaxation and paramagnetic shift in the normal state of K3C60 were measured.
Abstract: We report measurements of the bulk magnetic susceptibility, the EPR susceptibility, and the 13C nuclear spin-lattice relaxation and paramagnetic shift in the normal state of K3C60. Many aspects of the results indicate that the conduction electron properties can be modeled by Fermi-liquid behavior in a narrow band. Some weak-temperature dependences are observed that deviate from simple metallic behavior and may reflect interactions in the system. The parameters we obtain from a nearly-free-electron analysis are in reasonable agreement with band structure calculations, photoemission experiments, and the superconducting-state parameters.
49 citations
TL;DR: In this article, the statistical distribution of a q-gases system, gases which obey the q-deformed commutation relations, is derived by means of single-particle Green functions.
49 citations
TL;DR: In this article, an optical method for studying the transport properties of photogenerated electrons in the photoconducting electro-optic crystal of Bi12SiO20 is described, in which the free electrons are assumed to hop from the donor sites to the trapping sites and thus create a space charge field.
Abstract: An optical method for studying the transport properties of photogenerated electrons in the photoconducting electro‐optic crystal of Bi12SiO20 is described. The physical model in which the free electrons are assumed to hop from the donor sites to the trapping sites and thus create a space‐charge field has been developed. The crystal is mounted in a transverse configuration with the light beam propagating along the [110] axis and the electric field applied along the [110] axis. By measuring the photoinduced birefrigence variations, we determine the quantum efficiency φ of generating a free electron by an absorbed photon, the range μτ of a photoelectron, and the dark conductivity of the material. φ varies from 1.00 to 0.03 when the incident wavelength changes from 400 to 700 nm. The range μτ is found to be 5.2×10−6 cm2/V and the dark conductivity 2×10−15 (Ω cm)−1.
48 citations
TL;DR: In this article, the mobility of small polarons is calculated as a function of the temperature and the frequency of the polarons, which is similar to the frequency dependence in the case of free electrons.
48 citations
TL;DR: In this article, the magnetic susceptibilities of potassium and of cesium dissolved in liquid ammonia at 240°K and 220°K were recorded, and a description was proposed for the structure of the solutions with special reference to the conduction electrons.
Abstract: Here are recorded data on the magnetic susceptibilities of potassium and of cesium dissolved in liquid ammonia at 240°K and 220°K. Also included are a few data on calcium and barium. These solutions throughout the entire range of concentrations were regarded as representing an electron gas. Such systems would permit the distributions of the magnetic moments of the electrons to be followed continuously from the degenerate region of the Fermi‐Dirac statistics to those distributions where the quantum and classical statistics are indistinguishable. The general features of the magnetic behavior of a free electron gas were recognized, overlaid, however, by interactions characteristic of the environment of the electrons in the solutions. In the light of the magnetic susceptibilities as well as of other properties, a description is proposed for the structure of the solutions with special reference to the conduction electrons. Barium was found to dissociate into two electrons per gram atom and it is inferred that ...
48 citations