I need to convert dipole derivative output by Gaussian into atomic units. The dipole derivative is given in Gaussian in the weird units $(\mathrm{km/mol})^{1/2}$. I know that
$\pu{1 D^2/(Å^2amu)}$ = $\pu{42.2561 km/mol}$
$\pu{1 D(ebye)= 0.393456 bohr \textrm{-} e}$
$\pu{1 bohr = 0.529 Å}$
$\pu{1 amu = 1822.8818 electron masses}$
I made the conversion (see below), but the value I get is in an improbable range (I know that the answer should be roughly 0.15 or in that order of magnitude based on literature). Is there anything wrong with the unit conversion below? I realize this is a rather dumb question but I would really appreciate if someone could point out any silly mistake I may have made.