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5. The spin-orbit coupling Hamiltonian of an alkaline element is given by H = :S · L h2 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.

5. The spin-orbit coupling Hamiltonian of an alkaline element is given by H = :S · L h2 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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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.
Transcribed Image Text: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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