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The charge of the anion isn't considered as really affecting the polarizability outside of the size of the anion (which is affected by the charge) I don't believe. The focus is more on the size of the cation, its charge and the size of the anion.
The charge of the anion doesn't play as much of a role as the size does since the shielding effect of multiple electrons is of less magnitude than that attractive force of the nucleus increasing with more protons. Since the size is more important, atomic radius is the aspect in focus when drawing conclusions about polarizability.
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