Explore BrainMass

hydrogen with a nucleus of finite mass

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

The spectrum of hydrogen with a nucleus of finite mass. The analysis in Section I-7 of the text assumes that the nucleus remains fixed as the electron orbits about it. This corresponds to assuming that the proton mass is effectively infinite. More correctly. we should picture the proton and electron as orbiting about their common center of mass. The effects of this can be incorporated in the analysis of Section I-7. but a simpler approach is to use the quantization of angular momentum (Section I-l2) and assume that the permitted circular orbits are those for which the total angular momentum of proton and electron together about the center of mass is nh/2pi (Eq. I-29).
(a) Show that the corrected value of the Rydberg constant Rh is
given by
Rh = [Mp/(Mp + Me)]Rx

where R, is the value for an infinite-mass nucleus.
(bl What is the difference in wavelength for the n = 2 —-> n = 1
"Lyman alpha" transition (A == l2l6 A) calculated using Rx and Rh.respectively?

© BrainMass Inc. brainmass.com October 25, 2018, 8:09 am ad1c9bdddf

Solution Summary

The hydrogen with a nucleus of finite mass is examined. Angular momentum quantization are provided.

See Also This Related BrainMass Solution

Big Bang Theory; Observational Evidence

Describe observational evidences to support the Big Bang Model in cosmology.

View Full Posting Details