Unformatted text preview: point halFway in between the protons. What electron would that likely be? Answer: The total probability oF ±nding electron 1 at a position vr is i | Ψ( vr,vr 2 ) | 2 d 3 vr 2 = | ψ l ( vr ) | 2 i | ψ r ( vr 2 ) | 2 d 3 vr 2 = | ψ l ( vr ) | 2 since ψ r is normalized. Similarly, the probability oF ±nding electron 2 at position vr is | ψ r ( vr ) | 2 . IF vr is close to the leFt proton, | ψ l ( vr ) | 2 is signi±cant, but | ψ r ( vr ) | 2 is small, so you are much more likely to ±nd electron 1 there than electron 2. But at the point halFway in between the protons, | ψ l ( vr ) | 2 and | ψ r ( vr ) | 2 are equal by symmetry, and you are just as likely to ±nd electron 1 there as electron 2. 5.2.4 States that share the electrons...
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This note was uploaded on 01/06/2012 for the course PHY 3604 taught by Professor Dr.danielarenas during the Fall '11 term at UNF.
- Fall '11