Chapter 8, Problem 74E

(a)

To determine

To find:The levels the $3p_{1/2}$ level is split to.

(b)

To determine

To find:The energy spacing between these states.

(c)

To determine

To find:How many lines is the $3p_{1/2}$ to $3s_{1/2}$ spectral line split by the field?

(d)

To determine

To describe:Quantitatively the spacing of these lines.

(e)

To determine

To find:The sodium doublet $(589.0\text{nm}$ and $589.6\text{nm})$ is two spectral lines, $3p_{3/2}\to 3s_{1/2}$ and $3p_{1/2}\to 3s_{1/2}$ which are split according to the two differentpossible spin-orbit energies in the 3p state Exercise 60). Determine the splitting of the sodium doublet (the energy difference between the two photons). How does it compare with the line splitting of part (d), and why?