A polar molecule is a molecule in which the centers of positive and negative charge distribution do not converge. These molecules are characterized by a dipole moment which measures their polarity. Polar compounds are highly soluble in other polar compounds, and are insoluble in nonpolar compounds. Solution A polar molecule is a molecule in which the centers of positive and negative charge distribution do not converge. These molecules are characterized by a dipole moment which measures their polarity. Polar compounds are highly soluble in other polar compounds, and are insoluble in nonpolar compounds..