  The nonlinear propagation of ion-acoustic (IA) waves (IAWs), which are
governed by the nonlinear Schr\"{o}dinger equation (NLSE), in multi-pair
plasmas (MPPs) containing adiabatic positive and negative ion fluids as well as
non-extensive ($q$-distributed) electrons and positrons, is theoretically
investigated. It is observed that the MPP under consideration supports two
types of modes (namely, fast and slow IA modes), and the modulationally stable
and unstable parametric regimes for the fast and slow IA modes are determined
by the sign of the ratio of the dispersive coefficient to the nonlinear one. It
is also found that the modulationally unstable regime generates highly
energetic IA rogue waves (IARWs), and the amplitude as well as the width of the
IARWs decrease with increase in the value of $q$ (for both $q>0$ and $q<0$
limits). These new striking features of the IARWs are found to be applicable in
the space [viz. D-region ($\rm H^+, O_2^-$) and F-region ($\rm H^+, H^-$) of
the Earth's ionosphere] and laboratory MPPs [viz. fullerene ($\rm C^+, C^-$)].
