Quantum Energy Levels Calculator
Calculate atomic energy levels, transition energies, photon wavelengths, and spectral series for hydrogen-like atoms.
Inputs
Results
Energy at n
-13.6 eV
Transition Energy
10.2 eV
Photon Wavelength
121.57 nm
Ionization Energy13.6 eV
Orbital Radius0.529 A
Degeneracy (2n²)2
Energy at n
-13.6 eV
Transition Energy
10.2 eV
Photon Wavelength
121.57 nm
How to Use This Calculator
- Start by filling in the input fields below. Results update instantly as you type, so you can experiment with different values to see how they affect the outcome.
- Atomic Number (Z) — Atomic number (1 = hydrogen) Accepts values from 1 to 118 (default: 1).
- Initial Level (n) — Initial principal quantum number Accepts values from 1 to 100 (default: 1).
- Target Level — Target quantum number for transitions Accepts values from 1 to 100 (default: 2).
- Once all inputs are set, review your results in the Results panel. Here's what each output means:
- Energy at n — shown as a numeric value. This is the primary result of this calculator.
- Transition Energy — shown as a numeric value. This is the primary result of this calculator.
- Photon Wavelength — shown as a numeric value. This is the primary result of this calculator.
- Ionization Energy — shown as a numeric value.
- Orbital Radius — shown as a numeric value.
- Degeneracy (2n²) — shown as a numeric value.
- Explore the related calculators below if you need deeper analysis or want to approach this topic from a different angle.
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Formula
Eₙ = -13.6 eV × Z² / n²Related Calculators
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