How to use the hydrogen atom energy levels calculator
Find hydrogen energy level and transition photon. Enter initial level n, final level n in the fields above; the energy of initial level, photon energy, photon wavelength are computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- ni — Initial level n
- nf — Final level n
Worked example
With initial level n = 3, final level n = 2, the calculator gives energy of initial level ≈ -1.511778 eV; photon energy ≈ 1.889722 eV; photon wavelength ≈ 656.1123 nm.
Frequently asked questions
What is the formula for the hydrogen atom energy levels calculation?
Energy of initial level (eV) = -13.606 / (ni × ni). Photon energy (eV) = 13.606 × (1 / (nf × nf)-1 / (ni × ni)). Photon wavelength (nm) = 1 / (RYD × (1 / (nf × nf)-1 / (ni × ni))) × 1e9. Here ni is initial level n, nf is final level n.
What inputs do I need for the hydrogen atom energy levels (bohr model) calculator?
You need initial level n, final level n. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.