# Hydrogen spectral series

Hydrogen spectral series

In physics, the spectral lines of hydrogen correspond to particular jumps of the electron between energy levels. The simplest model of the hydrogen atom is given by the Bohr model. When an electron jumps from a higher energy to a lower, a photon of a specific wavelength is emitted according to the Rydberg formula:

:$\left\{1 over lambda\right\} = R left\left( \left\{1 over \left(n\text{'}\right)^2\right\} - \left\{1 over n^2\right\} ight\right) qquad left\left( R = 10.972 imes 10^6 mbox\left\{m\right\}^\left\{-1\right\} ight\right)$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"' :

#### Series name

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

## Balmer series

#### λ (nm)

21223656
31034486
497.25434
594.96410
693.77397
$infty$91.1$infty$365

## Brackett series

#### λ (nm)

4187054050
5128062630
6109072170
7100081940
895491820
$infty$820$infty$1460

## Humphreys series

#### λ (nm)

67460712372
7465087503
83740105129
93300114673
103040134171
$infty$2280$infty$3282

Extension

Hydrogen is the element with the simplest-to-analyze emission 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.

* Bohr model

Wikimedia Foundation. 2010.

Поможем решить контрольную работу

### Look at other dictionaries:

• hydrogen spectral series — noun several series of spectral lines of hydrogen that correspond to quantum transitions between the various allowed energy levels of the hydrogen atom …   Wiktionary

• Hydrogen line — For hydrogen lines in general, see Hydrogen spectral series. The hydrogen line, 21 centimeter line or HI line refers to the electromagnetic radiation spectral line that is created by a change in the energy state of neutral hydrogen atoms. This… …   Wikipedia

• hydrogen spectrum — noun all the lines in the emission or absorption spectrum of hydrogen; each one corresponding to an allowed transition between quantum energy levels See Also: hydrogen spectral series …   Wiktionary

• hydrogen — /huy dreuh jeuhn/, n. a colorless, odorless, flammable gas that combines chemically with oxygen to form water: the lightest of the known elements. Symbol: H; at. wt.: 1.00797; at. no.: 1; density: 0.0899 g/l at 0°C and 760 mm pressure. [1785 95;… …   Universalium

• spectral line series — ▪ physics       any of the related sequences of wavelengths characterizing the light and other electromagnetic radiation emitted by energized atoms. The simplest of these series are produced by hydrogen. When resolved by a spectroscope, the… …   Universalium

• Spectral line — Continuous spectrum Emission line …   Wikipedia

• Spectral theory of ordinary differential equations — In mathematics, the spectral theory of ordinary differential equations is concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation Hermann Weyl… …   Wikipedia

• Hydrogen — This article is about the chemistry of hydrogen. For the physics of atomic hydrogen, see Hydrogen atom. For other meanings, see Hydrogen (disambiguation). ← hydrogen → helium …   Wikipedia

• Lyman series — In physics, the Lyman series is the series of transitions and resulting emission lines of the hydrogen atom as an electron goes from n ge; 2 to n = 1 (where n is the principal quantum number referring to the energy level of the electron). The… …   Wikipedia

• Brackett series — In atomic physics, the Brackett series is one of several series of spectral lines produced by hydrogen. The series is named after the American physicist Frederick Sumner Brackett who first observed the spectral lines in 1922.The lines appear in… …   Wikipedia