Hydrogen-like Atom Energy

E_n = -13.6\text{ eV} \times \frac{Z^2}{n^2}

Generalized Bohr energy formula for hydrogen-like atoms (single electron). Energy scales with Z² making inner electrons in heavy atoms much more tightly bound.

Variables

E_n

Energy of level n

Atomic number (nuclear charge)

unitless

Principal quantum number

unitless

Derivation

Extended from Bohr model by accounting for nuclear charge Z in the Coulomb potential.

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