The spectrum are the wavelengths of photons emitted when electrons jump between discrete energy levels, "shells" around the atom of a certain chemical element.
The fomula was invented by the Swedish physicist Janne Rydberg and presented on November 5, 1888.
Where
By setting <math>n_1</math> to 1 and letting <math>n_2</math> run from 2 to infinity, the spectral lines known as the Lyman series[?] converging to 91nm are obtained, in the same manner:
<math>n_1</math> | <math>n_2</math> | Name | Converge toward |
1 | <math>2 \rightarrow \infty</math> | Lyman series[?] | 91nm |
2 | <math>3 \rightarrow \infty</math> | Balmer series[?] | 365nm |
3 | <math>4 \rightarrow \infty</math> | Paschen series[?] | 821nm |
Rydberg formula for any element
The formula above can be extended for use with any chemical element.
Where
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