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Why copper is diamagnetic?

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Copper metal, where the atoms are in bulk, is diamagnetic. That’s because the unpaired electrons (as in a gas) are not unpaired at all, but are part of the metallic bonding. Metallic bonding occurs when all of the valence orbitals are overlapping throughout the entire sample. 

we have the notion that it is related to the number of paired electrons vs the number of unpaired electrons. The greater the number of paired electrons, the greater the diamagnetic character of the metal. Despite having one unpaired electron (which would make it paramagnetic), the diamagnetic character is greater, and thus the metal in bulk form is diamagnetic.

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