Work Step by Step
The effect of the magnetic field on the energy levels is described by Eq. 41.35. a. There are three different transitions that satisfy the selection rules. The initial $m_l$ values are 1, 0, and -1 and the final $m_l$ value is 0. b. The transition from $m_l=0$ to $m_l=0$ produces the same wavelength (122 nm) that was seen with no magnetic field. Each of those energy levels is unaffected. c. The transition from $m_l=-1$ to $m_l=0$ produces a larger wavelength (smaller energy) than was seen with no magnetic field. The energy of the initial level was lowered by the magnetic field. d. The transition from $m_l=1$ to $m_l=0$ produces a shorter wavelength (higher energy) than was seen with no magnetic field. The energy of the initial level was raised by the magnetic field.