Question
Why does He2 not exist?

Answer

He2 does not exist because repulsive forces dominate attractive forces and bond order is zero for He2.
Secondly its bond order is zero. $\text{He}_2(4)\sigma_{\text{ls}^2}\sigma*_{\text{ls}^2}$
$\text{B.O.}=\frac12(\text{N}_\text{b}-\text{N}_\text{a})=\frac12(2-2)=0$

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