4 8 16 32 hyper-radius  (a.u.) 0 1000 2000 3000 4000 5000 adiabatic potentials (cm -1 ) (0,0) (0,1) (0,2) (0,3) (0,4) (0,5) (0,6) (0,7) (0,8) (1,0) (1,1) (1,2) D$_{2}$(v$_{d}$,j) (0,9) (0,10) (1,3) (1,4) FIG. 7: (Color online) Same as Figure 6 for the D − 3 molecule. The energy origin here is set to the lowest dissociation limit D$_{2}$(0 , 0) + D $^{−}$. A few avoided crossings are indicated by circles. with respect to their first allowed dissociation limit v$_{d}$ = 0 , j = 1. It is worth noticing that our binding energies for all levels but one are larger than the energies of Ref. [10]), expressing that the well depth of our potential surface is found about 17 cm − 1 deeper than in Ref. [10]). The last bound level of the A ′ 1 irrep has a very small binding energy and may not be fully converged. The bound state energies of D − 3 are given in Table III. Since the D − 3 molecule is heavier than H − 3 , it has more vibrational levels. No data from previous calculation is available for D − 3 . 17