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What are all the possible values of the total spin quantum number, S, that arise from...

What are all the possible values of the total spin quantum number, S, that arise from a system with 4 electrons? (Note: You must be able to account for a total 16 possible spin states).

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Answer #1

total spin quantum number, S : sum of individual spin quantum No.,s.

Because angular momentum is a vector, the Spin Quantum Number (s) has both a magnitude (1/2) and direction (+ or -). Each orbital can only hold two electrons. One electron will have a +1/2 spin and the other will have a -1/2 spin.

thus , spin quantum No. have 2 values : -1/2 and +1/2.

A system with 4 electrons :    total : 4*4 combination = 16 combination

S = +2 ; 4*( +1 ) ; 6* ( 0 ) ; 4*(-1) ; -2

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