“…In an electric field F⃑ = (0, 0, F z ), the Hund's-case-(d) Hamiltonian in eqn (2) can be extended to include contributions from the Stark effect. The resulting perturbation, H (d) Stark = eF z z , has matrix elements given by, 37,65
where the integral,
This perturbation leads to non-zero off diagonal couplings between states, within the same rotational series, for which Δ = ±1, i.e. , between states for which,Δ = ±1; Δ N + = 0; Δ N = 0, ±1 (not 0 → 0); Δ M N = 0.The radial integrals 〈 ν | r | ν ′′〉 on the right-hand side of eqn (15) were evaluated using the Numerov method 66 with a pure Coulomb potential.…”