"Polarizing power" in textbook

[EMurphy_2L]

Does having great polarizing power mean a small atomic radius? and having great polarizability mean having a large atomic radius?

[Daniel Toscano 1L]

You're right. I see it as an atom with a small atomic radius holds its electrons more closely and is more willing to take electrons from others, while an atom with a large atomic radius holds its electrons more loosely, so its easier to take an electron away from it.
Also, keep the periodic trends of ionization energy and atomic radius in mind.

[EmilyJoo_1G]

Yes. Small ions have high polarizing power because their nucleus is closer in distance to a neighboring ion's valence electrons, and therefore small ions far more able to distort the neighboring ion's electron cloud.