Bohr Radius

In the Bohr model of the structure of an atom, put forward by Niels Bohr in 1913, electrons orbit a central nucleus. The model says that the electrons orbit only at certain distances from the nucleus, depending on their energy. In the simplest atom, that of hydrogen, a single electron orbits, and the smallest possible orbit for the electron, that with the lowest energy, is the one at a distance from the nucleus called the Bohr radius. The Bohr radius has a value of 5.291772108×10-11 meter (i.e. 53 picometers), or about half an angstrom.

Technical description

The Bohr radius (a_0) is the radius of the lowest energy orbit in the hydrogen atom: a_0 = where:
\varepsilon_0 is the permittivity of vacuum
\hbar is Dirac's constant or the "reduced Planck's constant"
m_e is the electron rest mass
and
e is the elementary charge
The Bohr radius is often used as a unit in atomic physics, typically in perturbative expansions of wave function solutions.

 

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