A reducing agent is a species that donates electrons to another substance and is itself oxidized in the process. The strength of a reducing agent among halogens is determined by how easily it loses an electron, which depends on its atomic size (as you move down Group VII (from fluorine to iodine), the atomic radius increases), electronegativity( Iodine has the lowest electronegativity among the common halogens (F, Cl, Br, I), meaning it has the weakest pull on its outer electrons) and ionization energy( because the outer electrons in iodine are furthest from the nucleus and more shielded, it has the lowest ionization energy in this group, making it the most willing to donate an electron).
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