Rydberg Formula For Hydrogen
Where
- is the wavelength of electromagnetic radiation emitted in vacuum,
- is the Rydberg constant, approximately 1.097 * 107 m-1,
- and are integers greater than or equal to 1 such that and .
By setting to 1 and letting run from 2 to infinity, the spectral lines known as the Lyman series converging to 91 nm are obtained, in the same manner:
| n1 | n2 | Name | Converge toward |
|---|---|---|---|
| 1 | 2 → ∞ | Lyman series | 91.13 nm (UV) |
| 2 | 3 → ∞ | Balmer series | 364.51 nm (Visible) |
| 3 | 4 → ∞ | Paschen series | 820.14 nm (IR) |
| 4 | 5 → ∞ | Brackett series | 1458.03 nm (Far IR) |
| 5 | 6 → ∞ | Pfund series | 2278.17 nm (Far IR) |
| 6 | 7 → ∞ | Humphreys series | 3280.56 nm (Far IR) |
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