hydrogen with a nucleus of finite mass
Not what you're looking for?
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?
Purchase this Solution
Solution Summary
The hydrogen with a nucleus of finite mass is examined. Angular momentum quantization are provided.
Purchase this Solution
Free BrainMass Quizzes
The Moon
Test your knowledge of moon phases and movement.
Variables in Science Experiments
How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.
Classical Mechanics
This quiz is designed to test and improve your knowledge on Classical Mechanics.
Basic Physics
This quiz will test your knowledge about basic Physics.
Intro to the Physics Waves
Some short-answer questions involving the basic vocabulary of string, sound, and water waves.