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The differential np scattering cross section has been measured at 96 MeV in the angular range c.m. ϭ74-180°at the neutron beam facility of the The Svedberg Laboratory in Uppsala. A subset of the data, covering 116-180°, has previously been published. The new, extended angular distribution has been normalized to the experimental total np cross section. Between 150°and 180°, the angular distribution is steeper than for most previous measurements and nucleon-nucleon potential predictions. At 180°, the difference amounts to about 10%, implying serious consequences because of the fundamental importance of this cross section. A value of the charged NN coupling constant consistent with our earlier result at 162 MeV has been extracted from the data.