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What would be the Z eff for an electron in 1s, 2s or 2p occupied orbital (1s, 2s or 2p) in Sc?


What would be the Zeff for an electron in 1s, 2s or 2p occupied orbital (1s, 2s or 2p) in Sc?

Grade:Upto college level

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

For a many electron atom EPE = -<Ze2/r >
Here the brackets represent an average -- we must take an average because the electron does not remain at one fixed value of r .
Earlier, we noted that Eorb = -Ze2/2 <1/r> These averages are dominated by contributions at SMALL r. When r is SMALL,
(1/r) is LARGE; thus, the larger the fraction of its time an electron spends at SMALL r, the MORE NEGATIVE -Ze2/2 <1/r> will be,and the ELECTRON will be "BOUND" MORE TIGHTLY to the nucleus (i.e Eorb will be more NEGATIVE).

 

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Sagar Singh

B.Tech, IIT Delhi

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