For j 2 = 1, m 2 = 0 we have ⟨ ⟨ j 1 m 1 0 | ( j 1 + 1 ) m ⟩ ⟩ = ( j 1 − − m + 1 ) ( j 1 + m + 1 ) ( 2 j 1 + 1 ) ( j 1 + 1 ) ⟨ ⟨ j 1 m 1 0 | j 1 m ⟩ ⟩ = m j 1 ( j 1 + 1 ) ⟨ ⟨ j 1 m 1 0 | ( j 1 − − 1 ) m ⟩ ⟩ = − − ( j 1 − − m ) ( j 1 + m ) j 1 ( 2 j 1 + 1 )