Potassium's D2 line ( ) is the transition

PHYSICS · Multi-part · Fermi University Physics · Atomic, Molecular & Optical Physics · Many-electron atoms and the periodic table · Radiative transitions, external fields and collisions

Reading the Spectrum, Ch Atoms in a magnetic field: moments, the Zeeman effect and the Paschen-Back limit

Problem

Potassium's D2 line (λ=766.49 nm\lambda = 766.49\,\mathrm{nm}) is the transition 4p 2P3/2→4s 2S1/24p\ ^2\mathrm{P}_{3/2} \to 4s\ ^2\mathrm{S}_{1/2}. A field B=0.50 TB = 0.50\,\mathrm{T} is applied along z^\hat z. ((a)) Calculate gJg_J for each level from the Lande formula. ((b)) List the shift (in units of μBB\mu_{\rm B}B) of each mJm_J sublevel of both levels, then use ΔmJ=0,±1\Delta m_J = 0, \pm1 to find the six allowed line shifts, also in units of μBB\mu_{\rm B}B. ((c)) Convert these six shifts into wavelength separations from λ0=766.49 nm\lambda_0 = 766.49\,\mathrm{nm}, in nm.

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