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A dipole-dipole force involves two permanent dipole moments, so typically between two polar bonds. On the other hand, a dipole-induced dipole force involves a permanent dipole moment inducing, or causing, a temporary dipole moment on another bond that was not there before the interaction, so typically between a polar bond and a nonpolar bond.
dipole-dipole refers to the interaction between two molecules that both have dipole moments; that is, both molecules/bonds are polar. dipole-induced dipole is the weaker interaction between a polar molecule and a nonpolar one; the dipole in the polar disturbs the e- field of the nonpolar structure enough to create a small distortion or temporary dipole (this is also called London Dispersion Forces!)
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