When sodium metal dissolves in compressed liquid ammonia, a highly conductive blue solution is formed. This effect occurs because of solvated electrons that are effectively confined within a packet of solvent molecules. In this question, we will estimate the properties of this system. a. Assuming the blue color appears due the absorption of 620 nm light, determine the energy of this light to give an estimate of the spacing between energy levels. b. If 620 nm is also the de Broglie wavelength of the electron determine its velocity.

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 12P: The helium ion He+ is a one-electron system whose wave functions and energy levels are obtained from...
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When sodium metal dissolves in compressed liquid ammonia, a highly conductive blue solution is formed. This effect occurs because of solvated electrons that are effectively confined within a packet of solvent molecules. In this question, we will estimate the properties of this system.

a. Assuming the blue color appears due the absorption of 620 nm light, determine the energy of this light to give an estimate of the spacing between energy levels.

b. If 620 nm is also the de Broglie wavelength of the electron determine its velocity.

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