Helium metastability 2026-10-20
The low levels of a helium atom lack an allowed direct electric dipole decay to the ground level. The triplet is excluded by the spin selection rule, and the singlet-to-singlet transition is excluded by parity and orbital selection. Weaker radiative channels and collisions can still de-excite these states; metastable does not mean infinitely lived.
Molecular excitations in organic semiconductors often retain strong local character. Weak screening supports Frenkel excitons or intermolecular charge-transfer admixtures, so a photon can create a bound neutral excitation rather than free carriers. Transition dipoles, spin selection rules, molecular packing and Franck-Condon factors set the bright spectral features. Disorder and thermal vibrations broaden them. Electronic overlap can also produce more delocalized excitons; the molecular limit is a useful model, not a definition covering every organic solid.
Measure each energy level by the wavenumber in . An upward electronic transition of vacuum wavelength adds . Treat the quoted wavelengths as vacuum values to their limited accuracy; air corrections would be smaller than the precision justified here.
The strong ground-state absorption must be at . The weak ground-state electronic transition at must reach : the electric-dipole selection rule on excludes the other two triplet state energy levels, while weak spin-orbit coupling admixes singlet state character and relaxes the approximate spin selection rule.
Assume the usual ordering , as expected from a positive effective spin-orbit coupling constant. The three nearby strong spectral lines then join these energy levels to a common energy level. Larger lower-state energy means a smaller gap and longer wavelength, so correspond to respectively. The remaining spectral line joins and . Assume the latter is the upper energy level. These assignments and orderings agree with independently tabulated strontium energy levels.[ref]
Starting with the two ground-state gaps, the construction is
The resulting energy levels, rounded to avoid suggesting spectroscopic precision, are
Figure 1.
Strontium level assignments inferred from the supplied wavelengths; vertical spacings are schematic and numerical energies are in inverse metres
. Details.
Both and exhibit the normal Zeeman effect. Each connects two singlet state energy levels, with Landé g-factor for the energy level and no first-order shift for . Their frequency shifts are . The weak spectral line also has three components, but gives shifts ; a three-component pattern alone does not establish the normal Zeeman effect. The spectral line likewise has three components with .
Here , so the ground term is . There are no spin-allowed d–d bands in the displayed manifold under the spin selection rule: the excited terms shown have doublet or quartet rather than sextet multiplicity. Very weak spin-forbidden absorptions can still gain intensity through spin–orbit coupling, and even spin-allowed d–d transitions would be forbidden by the Laporte rule in ideal centrosymmetric coordination. Thus a strong ordinary d–d spectrum should not be predicted simply by multiplying the splitting by a numerical factor. For scale, the lowest quartet branches read roughly at this abscissa, corresponding to weak features around , and if such forbidden intensity is detectable. These are graphical estimates, not precision assignments of every weak line.