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Anions are more polarizable since they have more electrons and therefore are easier to induce a dipole in
Anions that have the greatest polarizability are those that are large and less electronegative. Cations that have greater polarization power are those that are smaller and have a high charge.
The trend for increasing polarizing power for cations would be decreasing size and increasing charge, which is why Al+3 is a common example for a cation with very strong polarizing power. On the other hand, the trend for anions would be increasing polarizability moving down and to the right.
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