Brackett series

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Term scheme of the hydrogen atom

The Brackett series is the series of spectral lines in the spectrum of the hydrogen atom , the lower energy level of which is in the N-shell .

Further series are the Lyman , Balmer (see also the explanations there), Paschen , Pfund and the Humphreys series .

spectrum

The spectral lines of the Brackett series are all in the infrared range of light. They were discovered in 1922 by the American astronomer Frederick Sumner Brackett .

n 5 6th 7th 8th 9
Wavelength (nm) 4052.5 2625.9 2166.1 1945.1 1818.1 1458.0

Mathematical description

The wave numbers of the spectral lines are given by the formula

given is. Are in it

the Rydberg constant and whole numbers greater than 4.

The wavenumber can be determined by the relationship

in the wavelength , or through

convert into the energy of the associated photon . In the latter formula, the velocity of light in vacuo, and the Planck constant .

See also

Individual evidence

  1. a b H. Haken, HC Wolf: Atom- und Quantenphysik , Springer-Verlag (1980), ISBN 3-540-09889-5 , page 93