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The hydrogen spectral series can be expressed simply in terms of the Rydberg constant for hydrogen and the Rydberg formula. In atomic physics , Rydberg unit of energy , symbol Ry, corresponds to the energy of the photon whose wavenumber is the Rydberg constant, i.e. the ionization energy of the hydrogen atom in a simplified Bohr model.
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Johannes (Janne) Robert Rydberg (Swedish: [ˈrŷːdbærj]; 8 November 1854 – 28 December 1919) was a Swedish physicist mainly known for devising the Rydberg formula, in 1888, which is used to describe the wavelengths of photons (of visible light and other electromagnetic radiation) emitted by changes in the energy level of an electron in a hydrogen atom.
Because the binding energy of a Rydberg electron is proportional to 1/r and hence falls off like 1/n 2, the energy level spacing falls off like 1/n 3 leading to ever more closely spaced levels converging on the first ionization energy. These closely spaced Rydberg states form what is commonly referred to as the Rydberg series.
[2] The 1/ r potential in the hydrogen atom leads to an electron binding energy given by E B = − R h c n 2 , {\displaystyle E_{\text{B}}=-{\dfrac {Rhc}{n^{2}}},} where R {\displaystyle R} is the Rydberg constant , h {\displaystyle h} is the Planck constant , c {\displaystyle c} is the speed of light and n {\displaystyle n} is the principal ...
Rydberg had a value for his constant, but he had no idea where thatn constant came from. He didn't know that it was a simple (mathematically) function of the charge on the electron, the mass of an electron, the permitivity of free space, and the speed of light - plus another constant that he had no idea about because it wasn't discovered until ...
Rydberg states have energies converging on the energy of the ion. The ionization energy threshold is the energy required to completely liberate an electron from the ionic core of an atom or molecule. In practice, a Rydberg wave packet is created by a laser pulse on a hydrogenic atom and thus populates a superposition of Rydberg states. [3]
In 1890, Rydberg proposed on a formula describing the relation between the wavelengths in spectral lines of alkali metals. [2]: v1:376 He noticed that lines came in series and he found that he could simplify his calculations using the wavenumber (the number of waves occupying the unit length, equal to 1/λ, the inverse of the wavelength) as his unit of measurement.