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Energy Levels of Hydrogen Calculator

⚛ Modern physics. Use the Energy levels of hydrogen formula to find energy, level n: pick the value you want, type the others, and the answer updates as you go.

En=−13.6 eVn2E_n = -\dfrac{13.6\ \text{eV}}{n^2}
Energy-3.4 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
Level nno unit

Worked example

Find the energy when Level n = 2.

Using En = -(13.6 eV)/n²: Energy = -3.4 eV.

Frequently asked questions

What is the formula for Energy levels of hydrogen?

En = -(13.6 eV)/n².

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

Energy in eV, Level n.

How do you calculate energy?

Put the values into En = -(13.6 eV)/n². For example, with Level n = 2, energy = -3.4 eV.

Can I solve for a different value?

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

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