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Bohr Energy Levels Calculator

⚛ Atomic & Quantum. Use the Bohr energy levels formula to find energy, atomic number z, level n: pick the value you want, type the others, and the answer updates as you go.

En=−13.6 Z2n2 eVE_n = -\dfrac{13.6\,Z^2}{n^2}\ \text{eV}
Energy-13.6 eV

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
EnergyeV
Atomic number Zno unit
Level nno unit

Worked example

Find the energy when Atomic number Z = 1, Level n = 1.

Using En = -13.6 Z²/n² eV: Energy = -13.6 eV.

Frequently asked questions

What is the formula for Bohr energy levels?

En = -13.6 Z²/n² eV.

What do the letters stand for, and what units are used?

Energy in eV, Atomic number Z, Level n.

How do you calculate energy?

Put the values into En = -13.6 Z²/n² eV. For example, with Atomic number Z = 1, Level n = 1, energy = -13.6 eV.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (energy, atomic number z, level n) and fill in the others: it rearranges the formula for you.

All chemistry formulas in the Chemistry Formulas See it in the Atom Builder simulation