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Rydberg formula for hydrogen

 * $$\frac{1}{\lambda_{\mathrm{vac}}} = R\left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right)$$

Where


 * $$\lambda_{\mathrm{vac}} \!$$ is the wavelength of electromagnetic radiation emitted in vacuum,
 * $$R\!$$ is the Rydberg constant, approximately 1.097 * 107 m -1,
 * $$n_1\!$$ and $$n_2\!$$ are integers greater than or equal to 1 such that $$n_1 < n_2\!$$ and.

By setting $$n_1$$ to 1 and letting $$n_2$$ run from 2 to infinity, the spectral lines known as the Lyman series converging to 91 nm are obtained, in the same manner: