“…In future work, we will relax the assumption that the angular momentum always lies alongâ 1 , enabling a firm conclusion regarding the effectiveness of mechanical torques in aligning grains. Here we attempt to gain some insight by examining the incidence of attractors satisfying the following three conditions that are conducive to alignment: (1) | cos ξ| ≥ 1/3, ensuring that the 'Rayleigh reduction factor' characterizing the alignment effectiveness is positive (Lee & Draine 1985); (2) τ align ≤ 10 6 yr, in order to be competitive with radiative torques (Draine & Weingartner 1997); (3) ω/ω T ≥ 3, so as to avoid disalignment due to collisions with gas particles (Lazarian & Hoang 2007b;Hoang & Lazarian 2008). For each of the 13 grain shapes, five assumptions regarding the outgoing particles, and five values of s d , we consider 100 values of ψ v between 0 and π/2, uniformly spaced in cos ψ v .…”