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: An Atoms First Approach
2nd Edition
ISBN:9781305079243
Author:Steven S. Zumdahl, Susan A. Zumdahl
Publisher:Steven S. Zumdahl, Susan A. Zumdahl
Chapter2: Atomic Structure And Periodicity
Section: Chapter Questions
Problem 96E: In the ground state of element 115, Uup, a. how many electrons have n = 5 as one of their quantum...
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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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