Provide the structures for:
$1.$ $MnO_4^{-}$
$2.$ $MnO_4^{2-}$

(N/A) $1.$ The permanganate ion $(MnO_4^-)$ has a tetrahedral geometry where the manganese atom is at the center,bonded to four oxygen atoms. It involves $d\pi-p\pi$ bonding.
$2.$ The manganate ion $(MnO_4^{2-})$ also has a tetrahedral geometry with the manganese atom at the center,bonded to four oxygen atoms. It is paramagnetic due to the presence of one unpaired electron.