The Ebeling-Grigo (EG) improvement of the mean-spherical approximation
(MSA) via the Bjerrum theory of ionic association in the restricted p
rimitive model (RPM) is reviewed and extended. We find that, in terms
of reduced density and temperature, the critical point (p(c), T-c*) o
f the EG approximation (EGA) is located at (0.026, 0.0789), rather tha
n the (0.018, 0.0837) quoted by EG. The corrected result is closer to
the most recent simulation estimates of the RPM critical point. A furt
her improvement is obtained by incorporating the activity coefficient
of the associated ionic pair to yield a dipole-ion (DI) contribution.
The new approximation, EGA+DI, has a critical point at (0.027, 0.0716)
, which is in still better agreement with the simulation estimates. A
critical discussion comparing these results with recent simulation res
ults and other recent theoretical work is given.