[CHM 331] Problem Set 4
Andrew J. Pounds
pounds_aj at mercer.edu
Mon Mar 2 16:17:39 EST 2015
I stopped by the thunderdome a few minutes ago to see if I could find
any of you. I have placed your graded HW 4 in my chemistry mailbox.
Feel free to go by and pick it up. (Caroline, I still have yours in my
office since you are coming by tomorrow afternoon to pick it up.)
Everybody did well. Only a few things got some of of you.
1. The "shorthand" version of the expectation value of r for the
hydrogen atom is
$\left< \hat{r} \right> = \frac{n^2 a_0}{Z}\left\{1 + \frac{1}{2}
\left[1 - \frac{\ell \left(\ell +1\right)}{n^2}\right] \right\}$
Some of you made mistakes on your plots because you used an incorrect
formula or -- what was more troubling - when you were asked to compare
the results of that with the long form involving integrals you got
different results -- but didn't flag that as being a problem.
2. Many of you did not record your answers in eV where indicated. We are
going to inundated with different energy units over the next five weeks
-- make sure you know how convert to and from the energy units requested.
3. Units are your friend -- and help me assure that you got the answer
right. Please record them when appropriate.
4. Probabilities are between 0 and 1. If you get something outside of
this range when you are asked to report a probability you have made a
mistake.
--
Andrew J. Pounds, Ph.D. (pounds_aj at mercer.edu)
Professor of Chemistry and Computer Science
Mercer University, Macon, GA 31207 (478) 301-5627
http://faculty.mercer.edu/pounds_aj
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