- #1

hb1547

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## Homework Statement

"Relativistic effects are rather small in the hydrogen atom, but not so in higher-Z atoms. Estimate at what value of Z relativistic effects might alter energies by about a percent and whether it applies equally to all orbiting electrons or to some more than others. For this crude guess, it is acceptable to combine quantum mechanical results you have learned, related to energy, angular momentum, and/or probable radii, with some classical relationships."

My professor also added the note:

"You can consider the electrons to be orbiting in*a circular*orbit according to the Bohr model. Ignore screening in your calculation, but mention what effect it would have on a more realistic calculation."

## Homework Equations

[tex]E_{n} = -E_{0}\frac{Z^{2}}{n^{2}}[/tex]

## The Attempt at a Solution

Just generally not sure where to begin with this. Do I look at it from a Bohr model standpoint, and try to find a point where Gamma becomes 1.01? Do I look at it from a quantum mechanical view, and try to use quantum numbers to find an energy level high enough that implies an electron is going a certain speed?