# bas two elecand one in the 2s. Consider anexcited state in which the ostermost clectron hasbe a fairlyne calculation of an ac-ation p(r) is very hard, but it is easy tobeen raised to the 3p level. Since the 3p wave funcmake a fairly realistic guess. For example, one mightguess that p(r) is spherically symmetric and given bytions are not very penetrating-youenergy of this electron byetimate theeg it is completelyoutside both the other electrons. (a) In this approti-mation what is the potentialp(r) =y fuscticfelt bythe outermost clectron? (b) In the same apprPoe r/Rwhere R is some sort of mean atomic radius.(a) Given that p(r) is the average charge distributionof Z - 1 electrons, find po in terms of Z, e, and R.(b) Use Gauss's law to find the electric field& at apoint r due to the nucleus and the charge distributionp. (c) Verify that as r→0 and r-0, & behaves asrequired by (10.2) and (10.3). [Hint: The integralsneeded in parts (a) and (b) are in Appendix B.tion write the formula for the energy of the outerelectron if its principaltam number(c) Estimate the energy of the 3p clectoonofelectron is iathe 3d level, whose observed energy is -1513e(e) Explain why the agreement is better for thelevel than for the 3p. Why is the obsenandcompare with the observed val(d) Repeat for the case that the ouus and therons3p lower than that for 3d?SECTION 10.4 (The Pauli Exclusion Principle)(a) How many electrons can be accommodatean electron energy level with / 22 (b) How ma1= 3? (c) Give a formula (in termber of electrons that can be accomwith arbitrary LSECTION 10.3 (The IPA Energy Levels)10.710.3 (a) Estimate the energy of the innermost electronof lead. (b) What is its most probable radius?(Appendix C has a list of atomic numbers.)them state10.8 (a) Imagine an electron (spins= confinaone-dimensional rigid box. What are the descies of its energy levels? (b) Make a sketchlowest few levels, showing their occupancylowest state of six electrons confined inbox. (Ignore the Coulomb repulsion anelectrons).10.4 Answer the same questions as in Problem 10.3, butfor silver.ons10.5 The ground state of sodium (Z = 11) has twoelectrons in the 1s level, two in the 2s, six in the 2p,and one in the 3s. Consider an excited state in whichfunctionsthe nutermost electron has been raised to a 3d statenchanged), Becausetrons

Question
21 views

How might I appropriately answer 10.3?

check_circle

Step 1

(a) Energy of the inner most electron of lead is,

Step 2

(b) Most probable ...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in