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Modern Physics
Modern Physics

Bohr Radius

a0=4πε0ℏ2mee2≈5.29×10−11 ma_0 = \frac{4\pi\varepsilon_0\hbar^2}{m_e e^2} \approx 5.29 \times 10^{-11}\text{ m}

The most probable distance between electron and nucleus in a hydrogen atom ground state.

Variables

a_0
Bohr radius
m
\varepsilon_0
Permittivity of free space
F/m
\hbar
Reduced Planck constant
J·s
m_e
Electron mass
kg
e
Electron charge
C

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Common questions

What is the Bohr Radius formula?

Bohr Radius is written a₀ = 4πε₀ℏ²/mₑ e² ≈5.29 ×10⁻¹¹ m. The most probable distance between electron and nucleus in a hydrogen atom ground state. It belongs to Modern Physics, under Atomic Physics.

What are the units in a₀ = 4πε₀ℏ²/mₑ e² ≈5.29 ×10⁻¹¹ m?

In SI units, a_0 is bohr radius, measured in m; \varepsilon_0 is permittivity of free space, measured in F/m; \hbar is reduced planck constant, measured in J·s; m_e is electron mass, measured in kg; e is electron charge, measured in C.