1.

Usinf the Hund rules, write the spectral symbol of the basic term of the atom whose only partially filld subshell (a)is filled by 1//3 and S=1, (b)is filled by 70%, and S=3//2.

Answer»

Solution :(a)If `S=1` is the maximum spin then three must be two electrons (if there are two holes then the shell will be more than half full). This MEANS that there are `6` electrons in the full shell so it is a `p` shell. By PAUL's PRINCIPLE the only antisymmertric combination of two electrons has `L=1` Also `J=L-S` as the shell is less than half full. THUS the term is `.^(3)P_(0)`
(b) `S=(3)/(2)` means either `3` electrons or `3` holes. As the shell is more than half full the former possibility is ruled out. Thus we must have seven `d` electrons. Then as in problem 6.120 we get the term `.^(4)F_(9//2)`


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