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## Homework Statement

1)Give in spectral notation the possible states of an atom which has a closed core plus one d electron.

## Homework Equations

## The Attempt at a Solution

I solved in the following way:

For d electron,

Orbital angular momentum quantum number(L)=2

Spin angular momentum quantum number(S)=1/2

Possible values of total angular momentum quantum number(J)= L+S,| L+S-1|,…,|L+S|

Hence,

J= (2+1/2), |2+1/2-1|,|2-1/2|

J= 5/2,3/2,1/2

Possible states of the atom in spectral notation are,

2 D 5/2, 2 D 3/2, 2 D ½

But the answer given in my book is 2 D 5/2, 2 D 3/2.