The spin structure function of the neutron g1n has been determined ove
r 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 fro
m a polarized He-3 target at energies between 19 and 26 GeV. The integ
ral of the neutron spin structure function is found to be integral-1/0
g1n(x)dx = -0.022 +/- 0.011. Earlier reported proton results together
with the Bjorken sum rule predict integral-1/0 g1n(x)dx = -0.059 +/-
0.01 9.