  We have performed the first high precision measurement of the coherent
neutron scattering length of deuterium in a pure sample using neutron
interferometry. We find b_nd = (6.665 +/- 0.004) fm in agreement with the world
average of previous measurements using different techniques, b_nd = (6.6730 +/-
0.0045) fm. We compare the new world average for the nd coherent scattering
length b_nd = (6.669 +/- 0.003) fm to calculations of the doublet and quartet
scattering lengths from several modern nucleon-nucleon potential models with
three-nucleon force (3NF) additions and show that almost all theories are in
serious disagreement with experiment. This comparison is a more stringent test
of the models than past comparisons with the less precisely-determined nuclear
doublet scattering length of a_nd = (0.65 +/- 0.04) fm.
