# Triplets and wave function

 P: 6 Hi According top Hunds rule I have a $$^{3}P$$ term which should be the term for the ground state for a $$2p^{2}$$ shell (in this case the outer sub-shell), this means that I have a triplet state and thus a symmetric wave function for the spinn. Since the electrons are femions the total wave function should be anti-symmetric, this means that my spartial wave functions must be anti-symmetric. My problem arises when I'm trying to construct a anti-symmetric spartial wave function and give it in Hydronic spatial wave function. I use $$\psi_{spatial}=\frac{1}{\sqrt{2}}\left[\psi_{a}(1)\psi_{b}(2)-\psi_{b}(1)\psi_{a}(2)\right]$$ to create the anti-symmetric wave function. But quantum number $${l} = {1}$$ for all the electron and quantum number $${m_{l}} = {-1},{0},{1}$$ for all the electorns. This will lead to that the anti-symmetric wave function allways is equal to 0. Can someone please help me? Regareds /Joqe