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.
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Energy | eV |
| Atomic number Z | no unit |
| Level n | no 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.
