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Quiz #3: Atomic Levels (Topic 3) February 21, 2007 Name: ____SOLUTIONS__________ Problem 1 Carefully draw an energy-level diagram for a one-electron atom of nuclear charge Z=4. Draw the levels n = 1, 2, 3, and ∞ and write an expression for the energy levels . Use arrows to indicate the following transitions on the diagram: a) longest wavelength transition in the Lyman series, and b) highest energy transition of the Paschen series. Calculate photon energies emitted in the above two cases. 2 0 2 n ZE E n − = n = 1 n = 2 n = 3 n = ∞ 0 E1 E2 E3 (b) (a) 2 0 22 2 11 where 1 for Lyman and 1 for Paschen series, 1for longest wavelength, and 1 for highest-energy transition
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