Modern Physics

Bohr Energy Levels

En=13.6 eVn2E_n = -\frac{13.6\text{ eV}}{n^2}

Energy levels of the hydrogen atom. Negative values indicate bound states.

Variables

E_n
Energy of level n
eV
n
Principal quantum number
unitless

Derivation

Derived from Bohr model combining classical mechanics with quantization of angular momentum.

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Common questions

What is the Bohr Energy Levels formula?

Bohr Energy Levels is written Eₙ = -frac{13.6 eV}{n²}. Energy levels of the hydrogen atom. Negative values indicate bound states. It belongs to Modern Physics, under Atomic Physics.

What are the units in Eₙ = -frac{13.6 eV}{n²}?

In SI units, E_n is energy of level n, measured in eV; n is principal quantum number (dimensionless).

How is the Bohr Energy Levels formula derived?

Derived from Bohr model combining classical mechanics with quantization of angular momentum. The result is Eₙ = -frac{13.6 eV}{n²}.