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An element being ionized has donated one or more electrons to another element, or has accepted one or more electrons from another element and has thus achieved a octet in it's valance shell. Great electronegativity variances here.

A molecule that is polar is the covalent bond between two, or more elements that have a significant difference in electronegativity so that the electrons shared in the bond(s) spend more time in the element's orbital with the greater electronegativity. This means that element has a slightly negative charge, while the element that has electrons that are shared spend less time in it's orbital has a slightly positive charge. Water is the classic example here of a polar molecule.

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Q: What is the difference between being ionized and polar?
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