# Addition of angular momentum

Consider a deuterium atom (composed of a nucleus of spin I = 1 and an electron). The electronic angular momentum is J = L + S, where L is the orbital angular momentum of the electron and S is its spin. The total angular momentum of the atom is F = J + I, where I is the nuclear spin. The eigenvalues of J^2 and F^2 are J(J+I)h^2 and F(F+1)h^2 respectively.

(a) What are the possible values of the quantum numbers J and F for a deuterium atom in the 1s ground state?

(b) Same question for deuterium in the 2p excited state.

© BrainMass Inc. brainmass.com October 10, 2019, 7:19 am ad1c9bdddfhttps://brainmass.com/physics/schrodinger/addition-angular-momentum-576548

#### Solution Preview

Hello and thank you for posting your question to Brainmass.

The solution ...

#### Solution Summary

The solution explains in detail how to find the quantum numbers of an atom when we add three angular momentum operators.

$2.19