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An atomic bond is a bond between two (or more) atoms. Atoms like to have a valence shell of 8 electrons, and they bond to complete their octet. When these octets are fulfilled and the atoms are "happy", then you have a stable molecule.

But fluorine, for example, is highly reactive and unstable. It really wants an electron to complete it's octet, and so it will react with many things in an attempt to fill up it's valence shell.

The bond is what keeps atoms in a stable state.

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