Step 1: Recall the bond order formula.
\[
\text{Bond order} = \dfrac{N_b - N_a}{2}
\]
where \(N_b\) = number of bonding electrons and \(N_a\) = number of antibonding electrons.
Step 2: Analyze the molecule \(\mathrm{He_2}\).
Each helium atom has 2 electrons, so total electrons = 4.
Electronic configuration: \(\sigma_{1s}^2 \, \sigma_{1s}^{*2}\)
Step 3: Calculate bond order.
\[
\text{Bond order} = \dfrac{2 - 2}{2} = 0
\]
Step 4: Conclusion.
Since bond order is zero, \(\mathrm{He_2}\) does not exist as a stable molecule.