[en] The structure functions g1p and g1n have been measured over the range 0.014 < x < 0.9 and 1 < Q2 < 40 GeV2 using deep-inelastic scattering of 48 GeV longitudinally polarized electrons from polarized protons and deuterons. We find that the Q2 dependence of g1p (g1n) at fixed x is very similar to that of the spin-averaged structure function F1p (F1n). From a NLO QCD fit to all available data we find Gamma₁^p Gamma₁ⁿ=0.176 ± 0.003 ± 0.007$ at Q2=5 GeV2, in agreement with the Bjorken sum rule prediction of 0.182 ± 0.005

[en] We have measured the spin structure functions g₂^p and g₂^d and the virtual photon asymmetries A₂^p and A₂^d over the kinematic range 0.02 < x < 0.8 and 1.0 < Q² (le) 30(GeV/c)² by scattering 38.8 GeV longitudinally polarized electrons from transversely polarized NH₃ and ⁶LiD targets.The absolute value of A₂ is significantly smaller than the √R positivity limit over the measured range, while g₂ is consistent with the twist-2 Wandzura-Wilczek calculation. We obtain results for the twist-3 reduced matrix elements d₂^p, d₂^d and d₂ⁿ. The Burkhardt-Cottingham sum rule integral (g₂(x)dx) is reported for the range 0.02 (le) x (le) 0.8