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quantum mechanical treatment of the hydrogen gives the energy, E h2

quantum mechanical treatment of the hydrogen gives the energy, E h2

Biochemistry
Biochemistry
9th Edition
ISBN:9781319114671
Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Chapter1: Biochemistry: An Evolving Science
Section: Chapter Questions
Problem 1P
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16. The quantum mechanical treatment of the hydrogen gives the energy, E, of the electron as a h2 function of the principal quantum number, n: E = 8n²m,ažn² (n = 1,2, 3, ...) where h is Planck's constant, mẹ is the electron mass, and a, is 52.92x10-12m. a) Write the expression in the form E = -(constant)÷, evaluate the constant in joule, and compare it with the corresponding expression from Bohr's theory. b) Use the expression to find AE between n = 2 and n = 3. c) Calculate the wavelength of the photon that corresponds to this energy change.
Transcribed Image Text:16. The quantum mechanical treatment of the hydrogen gives the energy, E, of the electron as a h2 function of the principal quantum number, n: E = 8n²m,ažn² (n = 1,2, 3, ...) where h is Planck's constant, mẹ is the electron mass, and a, is 52.92x10-12m. a) Write the expression in the form E = -(constant)÷, evaluate the constant in joule, and compare it with the corresponding expression from Bohr's theory. b) Use the expression to find AE between n = 2 and n = 3. c) Calculate the wavelength of the photon that corresponds to this energy change.
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