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5. The spin-orbit coupling Hamiltonian of an alkaline element is given by
H =
:S·L
Here S and L are spin and orbit angular momenta of the electron and ß is the spin-
orbit coupling constant.
a. Determine the equation for difference between the frequencies of the emitted
radiation.
b. If the coupling constant ß equals 1.43 × 10-3 eV, calculate the magnitude of the
frequencies difference.

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