Use our balmer series calculator for quick and accurate calculations. Free online tool.
Quick select common lines:
| Line | Transition | λ (nm) | f (THz) | E (eV) | Color region | Swatch |
|---|---|---|---|---|---|---|
| Hα | 3 → 2 | 656.10 | 456.933 | 1.8897 | Red | |
| Hβ | 4 → 2 | 486.00 | 616.860 | 2.5511 | Cyan | |
| Hγ | 5 → 2 | 433.93 | 690.883 | 2.8573 | Violet-Blue | |
| Hδ | 6 → 2 | 410.06 | 731.093 | 3.0236 | Violet | |
| Hε | 7 → 2 | 396.90 | 755.338 | 3.1238 | UV (near) | UV |
| Hζ | 8 → 2 | 388.80 | 771.074 | 3.1889 | UV | UV |
Click any row to calculate that line.
For the Balmer series n₁ = 2 (lower level). n₂ ≥ 3 is the upper level. The emitted photon carries the energy difference between the two levels.
| Constant | Symbol | Value |
|---|---|---|
| Rydberg constant (H) | RH | 1.0974 × 10⁷ m⁻¹ |
| Planck's constant | h | 6.626 × 10⁻³⁴ J·s |
| Speed of light | c | 2.998 × 10⁸ m/s |
| Electron volt | eV | 1.602 × 10⁻¹⁹ J |
Photon energy: E = h × f = h × c / λ
Use our balmer series calculator for quick and accurate calculations. Free online tool.
Bohr model, Rydberg formula, photon energy, wavelength, and spectral series
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