The neutron longitudinal and transverse asymmetries A n 1 and A n 2 have been extracted from deep inelastic scattering of polarized electrons by a polarized 3 He target at incident energies of 19.42, 22.66 and 25.51 GeV. The measurement allows for the determination of the neutron spin structure functions g n 1 (x; Q 2 ) and g n 2 (x; Q 2 ) over the range 0:03 < x < 0:6 at an average Q 2 of 2 (GeV=c) 2 . The data are used for the evaluation of the Ellis-Ja e and Bjorken sum rules. The neutron spin structure function g n 1 (x; Q 2 ) is small and negative within the range of our measurement, yielding an integral R 0:6 0:03 g n 1 (x)dx = 0:028 0:006 (stat) 0:006 (syst). Assuming Regge behavior at low x, we extract n 1 =

The spin structure function of the neutron gr has been determined over the range 0.03 < x < 0.6 at an average Q2 of 2 (GeV/c)2 by measuring the asymmetry in deep inelastic scattering of polarized electrons from a polarized 3He target at energies between 19 and 26 GeV. The integral of the neutron spin structure function is fo. nd to be Ji g?(x) dx =-0.022 f 0.011. Earlier reported proton results 2. .- .-_together with the Bjorken sum rule predict &r g?(x) dx =-0.059 f 0.019.