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In order for atoms to form bonds they have to either give out electrons to another atom(ionic bonding) to form oppositely charged particles that will attract or they have share electrons electrons (covalent/metallic bonding).

Helium and Neon are group Zero/Eight elements, they have a full outer-shell, so they don't need to give up their electrons or to find more electrons. They are happy as they are extremely stable.

Helium has one full shell, so therefore there is a small ATOM RADIUS as the shell is close to the nucleus, this means there is a greater nuclear attraction, also the outer electrons of Helium experience less ELECTRON SHIELDING as all the electrons are in one shell. Overall because it is difficult to loose its first electron (as there is a greater nuclear attraction,) Helium they cant form bonds with other atoms as it doesn't want to share or give out its electrons.

Neon Is similar to this, but it has a slightly greater ATOMIC RADIUS than Helium, so the nuclear attraction isn't as great, It will experience more slightly more ELECTRON SHIELDING as its has two shells and the inner shell electrons repel the outer electrons, but since Neon has more protons and electrons than Helium it has a stronger NUCLEAR CHARGE which in turn increases the nuclear attraction making it difficult for Neon to loose its first electron, thus cant share electrons to form a bond.

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