We report the first measurement of the low-energy neutron-3 He incoherent scattering length using neutron interferometry: b i = (−2.512 ± 0.012 statistical ± 0.014 systematic) fm. This is in good agreement with a recent calculation using the AV18+3N potential. The neutron-3 He scattering lengths are important for testing and developing nuclear potential models that include three nucleon forces, effective field theories for few-body nuclear systems, and neutron scattering measurements of quantum excitations in liquid helium. This work demonstrates the first use of a polarized nuclear target in a neutron interferometer. [5,6,7]. Effective field theory methods, which are logically related to the QCD Lagrangian and allow for better estimates of theoretical uncertainty, show promise for similar success in the near future [8]. But even with the inclusion of many-body forces, modern NN potentials have had only modest success in predicting scattering observables in light nuclei. The aim of our program is to contribute to a complete set of basic experimental results for light nuclei which can be used in formulating the next generation of NN and many-body potentials.Neutron scattering lengths at the zero-energy limit can be directly and accurately measured using neutron interferometry. These are excellent high-precision bench marks for testing and/or calibrating the latest few-nucleon theoretical methods. Recent precision scattering length measurements include n-H, n-D, and n-3 He (coherent) [9,10,11,12]. In general the agreement between these data and the best theoretical models, including 3N forces, is not very good. The situation with 3 He is further clouded by the fact that two recent precision determinations of the coherent scattering length disagree by more than seven standard deviations [11,12]. The incoherent scattering length was recently measured from the pseudomagnetic neutron spin rotation in polarized 3 He gas [13]. Here we report on the first direct measurement of the n-3 He incoherent scattering length using neutron interferometry. This is also the first successful use of a polarized nuclear target in a neutron interferometer. The incoherent scattering length is also important for interpreting experimental studies of the scattering law S(Q, ω) of liquid 3 He, as pointed out in [13].A neutron interferometer [14,15,16] splits the matter wave of a single neutron into two coherent paths and then recombines them using Bragg diffraction perfect single-crystal silicon. A target placed in one beam path of the neutron interferometer produces a phase shift φ = −N 3 λb z where N 3 , z are the nuclear density and length of the target ( 3 He in this case), λ is the neutron deBroglie wavelength, and b is the real part of the bound neutron scattering length of the target atom. The bound scattering length is appropriate because there is no momentum transfer between the neutron and target. It is related to the free atom scattering length by a = bA/(A + 1), with A the atom/neutron mass ratio. In general the interaction ampl...