Figure 4.

Scaling of α_zz (panel A) and α_zz∕(N−1) (panel B) as a function of the number of atoms N for the AACT (solid squares), QE (solid circles), and SQE (open symbols) methods for a linear chain of isolated atoms. Points correspond to the results of numerical experiments while the lines are theoretical predictions of Eqs. 28, 29, 31. QE, AACT, and SQE polarizabilities are evaluated using scaling parameter values of $\tilde{\lambda }=1$, $\tilde{\kappa }=1$, and λ=1, respectively. A bond length (β) of 1 Å is employed in all cases.