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
How to Use This Calculator
- Enter Atomic Number (Z): 1 for hydrogen, 2 for helium (hydrogen-like), up to heavy elements for single-electron ions.
- Enter Initial Level (n) — the principal quantum number of the starting energy level (n = 1 is the ground state).
- Enter Target Level for the transition you want to analyze — higher target means lower-energy photon emitted.
- Read Energy at n (eV), Transition Energy (eV), and Photon Wavelength (nm) to identify the spectral line.
- Compare Photon Wavelength to known series: Lyman (UV, <400 nm), Balmer (visible, 400–700 nm), Paschen (IR, >700 nm).
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Formula
Eₙ = -13.6 eV × Z² / n²Related Calculators
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