[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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