237module12

237module12 - Consider the normal Zeeman eect applied to...

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Quantum Mechanics I - Module 12 Getting Started Explain why each of the following sets of quantum numbers ( n, l, m l , m s ) is not permitted for hydrogen. 1. (2, 2, -1, + 1 2 ) 2. (3, 1, +2, - 1 2 ) 3. (4, 1, +1, - 3 2 ) 4. (2, -1, +1, + 1 2 ) Discussion Questions 1. The photon has a spin quantum number of 1, but its spin magnetic mo- ment is zero. Explain. 2. What are the similarities and differences between Zeeman splitting and fine-structure splitting? 3. What are Hund’s rules? How are they useful? Problem
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Unformatted text preview: Consider the normal Zeeman eect applied to the 3 d to 2 p transition. 1. Sketch an energy-level diagram that shows the splitting of the 3 d and 2 p levels in an external magnetic eld. Indicate all possible transitions from each m l level state of the 3 d level to each m l state of the 2 p level. 2. Which transitions satisfy the m l = 1 or 0 selection rule? 3. Show that there are only three dierent transition energies emitted? 1...
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