  To gain some insight into electrochemical activity of dielectric colloids of
technical and biomedical interest we investigate a model of dielectric
nanosolution whose micro-constitution is dominated by dipolarions -- positively
and negatively charged spherically symmetric nano-structures composed of ionic
charge surrounded by cloud of radially polarized dipoles of electrically
neutral molecules of solvent. Combing the standard constitutive equations of an
isotropic dielectric liquid with Maxwell equation of electrostatics and
presuming the Boltzmann shape of the particle density of bound-charge we derive
equation for the in-medium electrostatic field. Particular attention is given
to numerical analysis of obtained analytic solutions of this equation
describing the exterior fields of dipolarions with dipolar atmospheres of
solvent molecules endowed with either permanent or field-induced dipole moments
radially polarized by central symmetric field of counterions. The presented
computations show that the electric field shielding of dipolarions in
dielectric nanosolutions is quite different from that of counterionic
nano-complexes of Debye-H\"uckel theory of electrolytes.
