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a ) Asymptotic energy of H − +H$_{2}$( v d = 0 ,j = 0) dissociation 

b ) Asymptotic energy of H − +H$_{2}$( v d = 0 ,j = 1) dissociation 

TABLE II: Comparison of energies (in cm − $^{1}$) of H − 3 bound levels obtained in the present study with those of Ref. [10]. Energies in the second and third columns are given with respect to D$_{as}$ (see Table I). The binding energies (fourth and fifth columns) are given with respect to the dissociation limits D$_{00}$ (for A ′ 1 levels) and D$_{01}$ (for A ′ 2 levels). The energies in parentheses are given with respect to D$_{00}$ , to compare with Ref.[10]. 

## V. PERMANENT DIPOLE MOMENT SURFACE FOR THE H − 3 GROUND STATE. 

The Molpro package delivers also the components of the permanent dipole moment to- gether with the PES. For a fixed geometry, the obtained components of the dipole moment correspond to the coordinate system with the X, Y, Z axes along the principal axes of inertia of the molecule. In our notations, the Y -axis is orthogonal to the plane of H − 3 , therefore D$_{Y}$ = 0. For γ = 0 and 90 ° there is only one non-zero component ( D$_{Z}$ in our notations). D$_{Z}$ becomes also equal to zero at equilateral geometries. For other geometries ( γ ̸ =0 or 90 ° ) there are two non-zero components, D$_{Z}$ and D$_{X}$ . We used the following convention to 

