Electron Orbital Radius

r_{n} = \frac{n ^{2} a _{0}}{Z}

The radius of electron orbits in hydrogen-like atoms. Larger n means larger orbits; larger Z means smaller orbits due to stronger nuclear attraction.

Variables

r_n

Orbital radius

Principal quantum number

unitless

a_0

Bohr radius (5.29 × 10⁻¹¹ m)

Atomic number

unitless

From Bohr model with nuclear charge Z modifying the Coulomb force.

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