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Nanoelectronics and Mesoscopic Physics
Published in Vinod Kumar Khanna, Introductory Nanoelectronics, 2020
The radius of the electron re is < 10−15 m (Pauling 1964). The classical electron radius = 2.82 × 10−15 m (see reference: Classical electron radius) is obtained by equating the relativistic rest mass energy of an electron (mass × square of velocity of light) with the electrostatic potential energy of a sphere carrying one electron charge and having radius = electron radius. Another approach (see reference: Determining the electron structure), which appears more realistic, takes the measured radius of proton = 1.15 × 10−15 m, uses the ratio of proton mass/electron mass = 1836, and divides the proton radius by 18363=12.24 to get the electron radius = 9.1 × 10−17 m because mass increases with cube of radius as Mass=Density ×Volume=Density×43πre3
Soot Formation and Growth in Toluene/Ethylene Combustion Catalyzed by Ruthenium Acetylacetonate
Published in Combustion Science and Technology, 2023
Fanggang Zhang, Cong Wang, Juan Wang, Sönke Seifert, Randall E. Winans
where G is the pre-exponential factor given by , V is the volume of the particle, re is the Thomson scattering length equal to the classical electron radius (2.818 × 10−15 m), and RG is the radius of gyration of a particle relative to its center of gravity. The quantity is the contrast electron density or relative scattering length density of the particles with respect to the medium. A lnI vs q2 plot, i.e., the Guinier plot, can be obtained by taking the logarithm of Eq. (3), which is well-known used in small-angle scattering for determining RG.
Estimation of Absorbed Dose Due to Gas Bremsstrahlung Based on Residual Gas in Electron Storage Rings
Published in Nuclear Science and Engineering, 2023
Akihiro Takeuchi, Masayuki Hagiwara, Hiroki Matsuda, Toshiro Itoga, Hiroyuki Konishi
where is the photon energy, is the number of photons when one electron passes through a gas path of 1 g∙cm−2 within , is the fine structure constant that equals 1/137, is the classical electron radius that equals , is the Avogadro constant that equals , is the atomic weight per unit mole, is defined as (where is the stored electron energy), and is the atomic number.
A Study of the Requirements of p-11B Fusion Reactor by Tokamak System Code
Published in Fusion Science and Technology, 2022
Jianqing Cai, Huasheng Xie, Yang Li, Michel Tuszewski, Hongbin Zhou, Peipei Chen
where =classical electron radius =fine structure constant =electron mass =light speed =elementary charge =normalized electron temperature with respect to the electron rest energy