Lyman-alpha explained

Lyman-alpha, typically denoted by Ly-α, is a spectral line of hydrogen (or, more generally, of any one-electron atom) in the Lyman series. It is emitted when the atomic electron transitions from an n = 2 orbital to the ground state (n = 1), where n is the principal quantum number. In hydrogen, its wavelength of 1215.67 angstroms (or), corresponding to a frequency of about, places Lyman-alpha in the ultraviolet (UV) part of the electromagnetic spectrum. More specifically, Ly-α lies in vacuum UV (VUV), characterized by a strong absorption in the air.

Fine structure

thumb|The Lyman-alpha doublet.Because of the spin–orbit interaction, the Lyman-alpha line splits into a fine-structure doublet with the wavelengths of 1215.668 and 1215.674 angstroms. These components are called Ly-α3/2 and Ly-α1/2, respectively.

The eigenstates of the perturbed Hamiltonian are labeled by the total angular momentum j of the electron, not just the orbital angular momentum l. In the n = 2, l = 1 orbital, there are two possible states, with j =  and j = , resulting in a spectral doublet. The j =  state has a higher energy and so is energetically farther from the n = 1 state to which it is transitioning. Thus, the j =  state is associated with the more energetic (having a shorter wavelength) spectral line in the doublet.[1]

Observation

Since the hydrogen Lyman-alpha radiation is strongly absorbed by the air, its observation in laboratory requires use of vacuumed spectroscopic systems. For the same reason, Lyman-alpha astronomy is ordinarily carried out by satellite-borne instruments, except for observing extremely distant sources whose redshifts allow the line to penetrate the Earth atmosphere.

The line was also observed in antihydrogen.[2] Within the experimental uncertainties, the measured frequency is equal to that of hydrogen, in agreement with predictions of quantum electrodynamics.

Notes and References

  1. Book: Draine, Bruce T. . 2010 . Physics of the Interstellar and Intergalactic Medium . Princeton, N.J. . . 978-1-4008-3908-7 . 706016938 . 83.
  2. Observation of the 1S–2P Lyman-α transition in antihydrogen . M. . Ahmadi . etal . Nature . 560 . 7720 . 211–215 . 22 August 2018 . 10.1038/s41586-018-0435-1 . 30135588 . 6786973 . free .