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The chlorine molecule is represented as $Cl-Cl$, i.e. $Cl_2$. Between the chlorine atoms, 2 electrons overlap to form a region of high electron to which the positively charged chlorine nuclei are attracted, such that internuclear repulsion is negated and a net attractive force results. Because the electrons are shared between the nuclei, we conceive that each atom has 8 valence electrons.

Of course, on reaction with sodium, the sodium reduces the chlorine molecule to give $2xxCl^-$. The resultant bond between $Na^+$ and $Cl^-$ is ionic and a non-molecular substance results.

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