New Relationships Connecting the Dipole Polarizability, Radius, and Second Ionization Potential for Atoms

The atomic dipole polarizability alpha of the 101 elements from He to No is related to the second ionization potential 12 and the Waber-Cromer radius r(WC). Our recommended model is the function alpha = P(1) center dot I(2)(-4) + P(2) center dot r(WC)(3)I(2)(y). With the parameters P(1) = 2.26, P(2) = 3.912, and y = 0.439, it reproduces the polarizabilities of all 101 elements' with a mean absolute deviation of 7.5 au.