An electron confined to a one-dimensional box has energy levels given by the equation En = n2h2/8mL^2 where n is a quantum number with possible values of 1, 2, 3,…, m is the mass of the particle, and L is the length of the box. Calculate the wavelength of light required to make a transition from n = 1 to n = 2 and from n = 2 to n= 3. In what region of the electromagnetic spectrum do these wavelengths lie?

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter5: Electron Configurations And The Periodic Table
Section: Chapter Questions
Problem 36QRT
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An electron confined to a one-dimensional box has energy levels given by the equation En = n2h2/8mL^2 where n is a quantum number with possible values of 1, 2, 3,…, m is the mass of the particle, and L is the length of the box. Calculate the wavelength of light required to make a transition from n = 1 to n = 2 and from n = 2 to n= 3. In what region of the electromagnetic spectrum do these wavelengths lie?

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