We report on preliminary results of a high statistics quenched lattice
QCD calculation of nucleon matrix elements within the Symanzik improv
ement programme. Using the recently determined renormalisation constan
ts from the Alpha Collaboration we present a fully non-pertubative cal
culation of the forward nucleon axial matrix element with O(a) lattice
artifacts completely removed. Runs are made at beta = 6.0 and beta =
6.2, in an attempt to check scaling and O(a(2)) effects. We shall also
briefly describe results for [x], the matrix element of a higher deri
vative operator.