Self-test 9A.3 The emission spectrum of atomic deuterium shows lines at 15 238, 20 571, 23...

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Chemistry

Self-test 9A.3 The emission spectrum of atomic deuterium showslines at 15 238, 20 571, 23 039, and 24 380 cm−1, which correspondto transitions to the same lower state. Determine (a) theionization energy of the lower state, (b) the ionization energy ofthe ground state, (c) the mass of the deuteron (by expressing theRydberg constant in terms of the reduced mass of the electron andthe deuteron, and solving for the mass of the deuteron).

Answer: (a) 328.1 kJ mol−1, (b) 1312.4 kJ mol−1, (c) 2.8 × 10−27kg, a result very sensitive to

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aThe spectroscopic determination of ionization energy dependson the series limit that is at the wavenumber at which the seriesterminates and becomes a continuumSayif the upper state lies at an energy hcRH2then for atransition to lower state Elower the photon    See Answer
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