- Hydrogen spectral series
In

physics , the spectral lines ofhydrogen correspond to particular jumps of theelectron betweenenergy level s. The simplest model of the hydrogen atom is given by theBohr model . When an electron jumps from a higher energy to a lower, aphoton of a specific wavelength is emitted according to theRydberg formula ::$\{1\; over\; lambda\}\; =\; R\; left(\; \{1\; over\; (n\text{'})^2\}\; -\; \{1\; over\; n^2\}\; ight)\; qquad\; left(\; R\; =\; 10.972\; imes\; 10^6\; mbox\{m\}^\{-1\}\; ight)$where "n" is the initial energy level and "n"' is the final energy level, and "R" is the

Rydberg constant .The spectral lines are grouped into series according to "n"' :

#### $n\text{'}$

#### Series name

1 Lyman series 2 Balmer series 3 Paschen series 4 Brackett series 5 Pfund series 6 Humphreys series ## Lyman series

## Balmer series

#### $n$

#### λ (nm)

#### $n$

#### λ (nm)

2 122 3 656 3 103 4 486 4 97.2 5 434 5 94.9 6 410 6 93.7 7 397 $infty$ 91.1 $infty$ 365 ## Paschen series

## Brackett series

#### $n$

#### λ (nm)

#### $n$

#### λ (nm)

4 1870 5 4050 5 1280 6 2630 6 1090 7 2170 7 1000 8 1940 8 954 9 1820 $infty$ 820 $infty$ 1460 ## Pfund series

## Humphreys series

#### $n$

#### λ (nm)

#### $n$

#### λ (nm)

6 7460 7 12372 7 4650 8 7503 8 3740 10 5129 9 3300 11 4673 10 3040 13 4171 $infty$ 2280 $infty$ 3282 **Extension**Hydrogen is the

element with the simplest-to-analyzeemission spectrum . All other atoms possess at least two electrons in their unionized form and the interactions between these electrons makes analysis of the spectrum by such simple methods as described here impractical. The deduction of the Rydberg formula was a major step in physics, but it was long before an extension to the spectra of other elements could be accomplished.**See also***

Bohr model

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