The quantum-mechanical treatment of the H atom gives the energy, E, of the electron as a
Chapter 7, Problem 7.62(choose chapter or problem)
The quantum-mechanical treatment of the H atom gives the energy, E, of the electron as a function of n: E 5 2 h2 8p2 mea0 2 n2 (n 5 1, 2, 3, . . .) where h is Plancks constant, me is the electron mass, and a0 is 52.92310212 m. (a) Write the expression in the form E 5 2(constant)(1/n2), evaluate the constant (in J), and compare it with the corresponding expression from Bohrs theory. (b) Use the expression from part (a) to find DE between n 5 2 and n 5 3. (c) Calculate the wavelength of the photon that corresponds to this energy change.
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