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The N atom is electrically neutral - the number of positively charged protons is equal to the number of negatively charged electrons. That is why there is no net charge on the atom. On the other hand the N3- anion (negatively charged ion) carries a charge of minus 3. It has gain 3 electrons, thereby incurring 3 negative charges. There are 3 more electrons than protons in N3-. N3- can combine with a cation to form an ionic compound.

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Q: What is the difference between a nitrogen atom N and a nitrogen ion N3?
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