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The authors present results from SLAC experiments E142 and E143 for the spin dependent structure functions of the proton g{sub 1}{sup p}(x, Q{sup 2}) and neutron g{sub 1}{sup n}(x,Q{sup 2}) measured in deep inelastic scattering of polarized electrons from a polarized target. Experiment E142 measures {integral}{sub 0}{sup 1} g{sub 1}{sup n}(x)dx = {minus}0.022 {+-} 0.011 at <Q{sup 2}> = 2 (GeV/c){sup 2} using a polarized {sup 3}He target. Experiment E143 measures {integral}{sub 0}{sup 1} g{sub 1}{sup p}(x)dx = 0.129 {+-} 0.011 at <Q{sup 2}> = 3 (GeV/c){sup 2} using a polarized NH{sub 3} target. These results are combined at Q{sup 2} = 3 (GeV/c){sup 2} to yield {integral}{sub 0}{sup 1} [g{sub 1}{sup p}(x) {minus} g{sub 1}{sup n}(x)]dx = 0.151 {+-} 0.015. The Bjorken sum rule predicts 0.171 {+-} 0.008

Recent SLAC measurements of the spin dependent structure functions for the proton and neutron