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Noble gases' outermost electron shells are completely full. With any element, the first shell needs to contain two electrons - only two elements, hydrogen and helium, have only one shell - and the outer shell of an atom with two or more shells must contain eight electrons. It can get there by having enough electrons on its own, or by bonding with other atoms and sharing the electrons. (In some cases atoms take this to the extreme: alkali metals, which have one electron in their outer shells, form salts by sharing seven electrons from a halogen atom.) Because noble gases' outermost shells are full, they don't have to - and in most cases will refuse to - bond with other atoms.

Having said that, argon will form a very few compounds...and all of them contain fluorine, which is so reactive it can strip electrons from noble gas atoms.

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