The Lyman series of the hydrogen atom represents transitions from the electronic energy level n to the energy level n=1. (i) Derive a formula that relates (a) the transition energy, Aɛ, and (b) the wavelength, λ, of the emitted photon to the quantum number of the upper energy level n. (ii) Calculate the expected wavenumber, , for the first 4 transitions in the Lyman series.

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter5: Quantum Mechanics And Atomic Structure
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Problem 46AP: For the Li atom, the energy difference between the ground state and the first excited state, in...
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The Lyman series of the hydrogen atom represents transitions from the electronic energy
level n to the energy level n=1.
(i) Derive a formula that relates (a) the transition energy, AE, and (b) the wavelength, >, of
the emitted photon to the quantum number of the upper energy level n.
(ii) Calculate the expected wavenumber, , for the first 4 transitions in the Lyman series.
Transcribed Image Text:The Lyman series of the hydrogen atom represents transitions from the electronic energy level n to the energy level n=1. (i) Derive a formula that relates (a) the transition energy, AE, and (b) the wavelength, >, of the emitted photon to the quantum number of the upper energy level n. (ii) Calculate the expected wavenumber, , for the first 4 transitions in the Lyman series.
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