Consider the following helium atom wave function psi 1s13d

Consider the following helium atom wave function = psi = 1s(1)3d_2+(2)alpha(1)alpha(2) Is this a satisfactory wave function? If not, how would you modify it to make it satisfactory.

Solution

a)No, the spin wavefunction is symmetric so the requirement is that the space function is anti-symmetric. which is not the case.

b)write the space part as an antisymmetric linear combination as = (1 / 2( [1s(1)3d₊₂(2) 3d₊₂(1)1s(2)] (1)(2)