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Question 5 Worksheet 4

Posted: Tue May 08, 2018 12:12 pm
by Or Fisher 1I
This is the question, but I do not understand why the answer is 32. If it is quantum number 4, shouldn't that mean, 4s^2, 4p^6, and 4d^10 and so that would be 18 and then two electrons can fit in each one with opposite spins, so it would be 36? Can someone please clarify? Thanks.
5. What is the maximum number of electrons that can occupy the orbitals with principal quantum number = 4?
32

Re: Question 5 Worksheet 4

Posted: Tue May 08, 2018 12:42 pm
by Kuldeep Gill 1H
Since we are looking at n=4 l can be 0,1,2, or 3 and since the 0 is the s orbital its values of ml can be 0 so one orbital 2 electrons then to add to that if l=1 then ml can be -1,0,1 so three orbitals for 6 electrons then if l=2 ml can be -2,-1,0,1,2 so five orbitals for 10 electrons and if l=3 ml can be -3,-2,-1,0,1,2,3 so seven orbitals for 14 electrons... adding them all up you get 32 total electrons. hope that helps!