{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

3890ps10_10

# 3890ps10_10 - Physical Chemistry I Chem 3890 Fall 2010...

This preview shows pages 1–2. Sign up to view the full content.

Chem 3890 Physical Chemistry I Fall 2010 Chemistry 3890 Problem Set 10 Fall 2010 Due: in class, Monday, November 29 Last revised: November 19, 2010 Additions/corrections: Problem 1 Consider the states of the H atom (no spin) with principal QN n = 20. 1. Use Mathematica (see www.chem.cornell.edu/gse1/3890_hydogenic_wfs.nb ) to calculate a Table of expectation values ( r 2 ) nlscript for n = 20, lscript = 0 , 1 ,...,n - 1. The quantity radicalbig ( r 2 ) nlscript is a measure of the effective size of the atom in the different lscript states. How does radicalbig ( r 2 ) nlscript depend on lscript (qualitatively)? 2. Make plots of the radial probability distribution P n,lscript ( r ) vs r for lscript = 0 and lscript = n - 1 = 19 (2 plots). Be sure to take the range of r large enough to see the full structure of P . (Measure r in atomic units [Bohr radii, a 0 ].) We now proceed to estimate the expectation values for the smallest ( lscript = 0) and largest ( lscript = n - 1) values of lscript , respectively.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}