The formula used to calculate the spin only magnetic moment can be written in two forms. the first based on the number of unpaired electrons n and the second based on the total electron spin quantum number s. Since, for each unpaired electron, n=1 and s=
1
2
then the two formulae are clearly related and the answer obtained must be identical unpaired electron, n=1 and s=
1
2
then the two formulae are clearly related and the answer obtained must be identical µso =√n(n+2)BM=√4s(s+1)BM