Bohr Model Calculator

Find the orbit radius and energy of a hydrogen electron.

Orbit radius (nm) 0.0529

Energy (eV) -13.606

Formula: r_n = 0.0529·n² nm; E_n = −13.6/n² eV

Step-by-step with your numbers:

1. Values used:

2. Principal quantum number n = 1

4. Orbit radius = 0.0529nm

5. Energy = -13.606eV

Did we solve your problem today?

The Bohr model pictures the electron in circular orbits with quantized radii and energies.

The math behind it

r_n = a₀·n² (Bohr radius a₀ ≈ 0.0529 nm); E_n = −13.6/n² eV.

n = 1 → radius 0.0529 nm, energy −13.6 eV.

Is the Bohr model accurate?

It works for hydrogen's energies but is superseded by quantum mechanics for detail.