Calculateur du Spectre de l'Hydrogène Gratuit
Calculez les longueurs d'onde des raies spectrales de l'hydrogène. Trouvez les séries de Lyman, Balmer et Paschen.
Longueur d'onde
0.000000656096 m
Wavelength vs Lower Level (n1)
Formule
Hydrogen Spectral Lines (Rydberg Formula)
When an electron transitions between energy levels in hydrogen, it emits or absorbs a photon with a specific wavelength.
Formula
1/lambda = R_H * (1/n1^2 - 1/n2^2)
Series: Lyman (n1=1, UV), Balmer (n1=2, visible), Paschen (n1=3, IR).
Exemple Résolu
H-alpha line: n1 = 2 to n2 = 3 (Balmer series).
- 011/lambda = R * (1/4 - 1/9)
- 021/4 - 1/9 = 5/36 = 0.1389
- 031/lambda = 1.0974e7 * 0.1389 = 1.524e6 m^-1
- 04lambda = 6.563e-7 m = 656.3 nm (red)
Questions Fréquentes
Why does hydrogen produce discrete spectral lines?
Because electron energy levels are quantised. Only specific energy differences are allowed, producing photons at discrete wavelengths.
What is the Balmer series?
Transitions ending at n = 2. These fall in the visible spectrum: H-alpha (656 nm, red), H-beta (486 nm, blue-green), H-gamma (434 nm, violet).
Does this formula work for other elements?
For hydrogen-like ions (one electron), multiply R_H by Z^2. For multi-electron atoms, the Rydberg formula does not apply directly.
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