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We costruct the relativistic operator of the quadrupole moment oftwo-particle composite spin one systems with zero orbital moment of therelative motion and derive explicit analytical expression for the quadrupolemoment using the approach to relativistic composite systems based on ourversion of the instant-form relativistic quantum mechanics (RQM). We calculatethe quadrupole moments of the rho meson and of the S-wave deuteron without anyfree parameters, using our unified pi&rho model (Phys. Rev.D 93, 036007 (2016);97, 033007 (2018)) and our previous results on deuteron. Our calculation givesQ_rho=-0.158+-0.04 GeV^-2 and Q_d=-1.4*10^-4 GeV^-2. Having in our dispositionthe rather general form of the quadrupole-moment operator we for the first timeformulate the problem of the upper and lower bounds for possible values of thequadrupole moment of a two-particle system with indicated quantum numbers for alarge range of constituent masses, and partially solve it.

Quadrupole moments of spin-1 systems: the rho meson, the S-wave deuteron and some general constraints