When two metal atoms are close to each other, their __________ orbitals __________ and they can share __________.

help me fill in the blanks please

2 answers

I think your teacher is aiming for a description of the metallic bond. I rather doubt just two atoms can form that.

outer, merge, conduction electrons (sometimes called delocalized, or free)
If I don't put much faith in the word "metals" then I might go with outer, overlap, electrons. Answering a question like this is almost like looking for a needle in a haystack.
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