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a radical lewis structure is a lewis structure with an unpaired electron due to an odd number of valence electrons. they are highly unstable and rare, therefore unfavored in nature. when drawing a radical i believe you leave it as an unpaired electron, so one dot, next to the atom in corresponds to. if the atom can have an extended octet, like P and beyond, it is more stable to take away the adjacent unpaired electrons and form another bond between the two atoms.
Radicals go on the most electronegative atom. Biradicals are merely molecules with two radicals or two instances of unpaired electrons. I think these are noticeable when you are doing a Lewis structure and you calculate the formal charge of the atoms, but I'm pretty sure we won't be asked for the Lewis structure of a biradical.
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