Physics

Hydrogen Energy Levels Calculator

Find the energy of a hydrogen electron's nth level.

Calculated Output

Energy (eV) -3.401

Energy (J) 0

Formula: E_n = −13.6 ÷ n² eV

Step-by-Step Breakdown

1. Values used:

2. Principal quantum number n = 2

4. Energy = -3.401eV

5. Energy = 0J

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The math behind it

E_n = −13.6 ÷ n² eV. The ground state (n = 1) is −13.6 eV; levels get closer together as n grows.

n = 2 → −3.4 eV.

Why negative?

Bound states have negative energy; zero corresponds to a free, just-escaped electron.