A Slater determinant corresponding to the ionic part of the ground state valence bond wave  function of H2 molecule is (1saα, 1saβ, 1sbα, 1sbβ are atomic spin-orbitals of hydrogen atoms a and b of the hydrogen molecule)

1
\(\begin{vmatrix} 1saα (1) & 1saβ(1) \\ 1saα (2) & 1saβ(2) \end{vmatrix} \)
2
\(\begin{vmatrix} 1saα (1) & 1sbβ(1) \\ 1saα (2) & 1sbβ(2) \end{vmatrix} \)
3
\(\begin{vmatrix} 1saα (1) & 1sbα(1) \\ 1saα (2) & 1sbα(2) \end{vmatrix} \)
4
\(\begin{vmatrix} 1saα (1) & 1sbα(1) \\ 1saα (1) & 1sbα(2) \end{vmatrix} \)
5
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