## Encyclopedia > Bohr radius

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In Bohr's model of the hydrogen atom, the Bohr radius ($a_0$) is the radius of the lowest energy orbit:

$a_0 = {{4\pi\epsilon_0\hbar^2}\over{m_e e^2}}$

where:

$\epsilon_0$ is the permittivity of vacuum

$\hbar$ is the Planck's constant

$m_e$ is the electron rest mass
and
$e$ is the elementary charge

It has a value of 5.29189379×10-11 m, or about half an angstrom.

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