 ![\[veff0in0\] Effective electrostatic interactions between pairs of nonoverlapping macroions of outer radius $R=00$ nm, valence $Z=000$, and reduced number density $n_mR^0=0.00$ in room temperature water ($\lambda_B=0.000~{\rm nm}$) at salt concentrations (a) $c_s=0$ mol/l ($\kappa R\simeq 0.00$) and (b) $c_s=000$ $\mu$mol/l ($\kappa R\simeq 0.0$): PE brush-coated spherical macroions \[solid curves from Eq. (\[veffr&gt;0R\])\]; PE stars \[dashed curves from Eq. (\[vstar\])\]; and charged hard spheres \[dot-dashed curves from Eq. (\[vDLVO\])\].](figbrush0