
#1
Nov2409, 01:19 PM

P: 6

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


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