We report a simultaneous shape stabilization and size equalization after sh
ape transformation of InGaAs self-organized quantum dots (QDs) formed via a
fractional monolayer (ML) deposition technique. The density of QD increase
s rapidly from an initial value of 110 +/- 10/mu m(2) (at a total depositio
n of 4 ML) to 270 +/- 30/mu m(2) (at 5 ML) and saturates at a level of 240
+/- 20/mu m(2) (at 10 ML). At an intermediate stage of 7 ML deposition, bim
odal QD height (peaked at 8.5 nm and 14.5 nm) and aspect ratio (peaked at 0
.18 and 0.26) distributions occur, confirming the QD shape transformation f
rom a shallower to a steeper shape. The eventual convergence in lateral siz
e, height and aspect ratio is the direct result of the simultaneous QD size
equalization and shape stabilization. The QD size and shape evolution is a
lso substantiated by the Iom temperature (4 K) photoluminescence (PL) data
taken from samples with QDs capped by GaAs.