The classical electron radius is a combination of fundamental physical quantities that define a length scale for problems involving an electron interacting...

radius (⁠ a 0 {\displaystyle a_{0}} ⁠) is a physical constant, approximately equal to the most probable distance between the nucleus and the electron...

mechanics; in reality, the so-called classical electron radius has little to do with the true fundamental structure of the electron. There are elementary particles...

Uncertainty. NIST. May 2024. Retrieved 2024-05-18. "2022 CODATA Value: classical electron radius". The NIST Reference on Constants, Units, and Uncertainty. NIST...

fine-structure constant, r e {\displaystyle r_{\text{e}}} is the classical electron radius, Z {\displaystyle Z} is the atomic number of the material, and...

{\displaystyle 0.75r_{e}} , where r e {\displaystyle r_{e}} is the classical electron radius. Using Bohr–Sommerfeld quantisation condition for the Hamiltonian...

_{T}}}=r_{\text{e}}} , where r e {\displaystyle r_{\text{e}}} is the classical electron radius, to convert it back to a unit of length. The Mott–Bethe formula...

^{2}(\theta )\right]} where r e {\displaystyle r_{e}} is the classical electron radius (~2.82 fm, r e 2 {\displaystyle r_{e}^{2}} is about 7.94 × 10−30...

where a 0 {\displaystyle a_{0}} is the Bohr radius and r 0 {\displaystyle r_{0}} is the classical electron radius. If this were true, all atoms would instantly...

system, the power radiated by a single electron can be expressed in terms of the classical electron radius and electron mass as: P = 2 3 m e r e a 2 c {\displaystyle...

2.81794 fm – classical electron radius 3 fm – approximate range-limit of the nuclear binding force mediated by mesons 7 fm – the radius of the effective...

\alpha \simeq {\tfrac {1}{137}}} ⁠). The classical electron radius is about 3 times larger than the proton radius, and is written: r e = α λ ¯ e ≃ 2.82  ...

land surveys done for the government. Astronomical measure uses: Earth radius R🜨 ≈ 6,371 km Lunar distance LD ≈ 384402 km. Average distance between the...

characteristic lengths: the classical electron radius re, the reduced Compton wavelength of the electron ƛe, and the Bohr radius a0: re = αƛe = α2a0. In quantum electrodynamics...

}}} where r0 is the classical electron radius, λ is the X-ray wavelength, and ne is the electron density. One may assume the electron density is simply...

the classical electron radius, me is the mass of the electron, mH denotes the mass of the hypothetical particle, and rH is its electrostatic radius. The...

{\displaystyle m} ⁠ is the electron mass ⁠ m e {\displaystyle m_{\text{e}}} ⁠, of ⁠ a H {\displaystyle a_{\text{H}}} ⁠ is the Bohr radius ⁠ a 0 {\displaystyle...

one can treat the electron as a black hole and attempt to compute its radius. The Schwarzschild radius rs of a mass m is the radius of the event horizon...

\varepsilon _{0}}}{\frac {e^{2}}{m_{\mathrm {e} }c^{2}}}} is the classical electron radius. The last expression in the first equation shows that the wavelength...

m em {\displaystyle m_{\text{em}}} equal to the electron mass is called the classical electron radius, which (setting q = e {\displaystyle q=e} and restoring...

44\times 10^{-7}\,{\frac {1}{T}}\ {\mbox{cm}}} electron gyroradius, the radius of the circular motion of an electron in the plane perpendicular to the magnetic...

inner electrons reduce the nuclear charge by 2. This outer electron should be at nearly one Bohr radius from the nucleus. Because the electrons strongly...

accepted value, the Bohr radius (~0.529 Å). In his model, Haas used a single-electron configuration based on the classical atomic model proposed by J...

usually described in terms of an atomic radius. This is a measure of the distance out to which the electron cloud extends from the nucleus. This assumes...

would predict. The correcting factor needed relative to classical relation is called the electron's g-factor, which is denoted ge: γ e − = μ e − ℏ / 2 =...

not be confused with the classical electron radius, which, despite the name, is unrelated to the actual size of an electron.) Test particle Brane Charge...

\epsilon _{0}c^{3}}}{\frac {\gamma ^{4}}{\rho ^{2}}}} Using the classical electron radius r e {\displaystyle r_{e}} P γ = 2 3 r e c ( m e c 2 ) 3 E 4 ρ...

cyclotron frequency or gyrofrequency and a radius referred to as the cyclotron radius, gyroradius, or Larmor radius. For a particle with charge q {\displaystyle...

total energy of the charged particle, ρ is the radius of curvature, re the classical electron radius, e0 = mec2 the particle rest mass energy, ℏ the...

Field electron emission, also known as field-induced electron emission, field emission (FE) and electron field emission, is the emission of electrons from...