A spin-glass compound, La1.98Sr0.02CuO4, shows quasi-three-dimensional magn
etic ordering below similar to 40 K. A remarkable feature is that the magne
tic correlation length along the orthorhombic a(ortho) axis is much longer
than that along the b(ortho) axis, suggesting that the spin structure is cl
osely related to the diagonal stripe structure. The spin-glass state can be
expressed as a random freezing of quasi-three-dimensional spin clusters wi
th anisotropic spin correlations (xi(a)'similar to 160 Angstrom, xi(b)'simi
lar to 25 Angstrom, and xi(c)'similar to 4.7 Angstrom at 1.6 K). The new ma
gnetic state is important as an intermediate phase between the three-dimens
ional antiferromagnetic ordered phase in La2CuO4 and the incommensurate pha
se in La1.95Sr0.05CuO4 in which the positions of the incommensurate peaks a
re rotated by 45 degrees in reciprocal space about (pi, pi) from those obse
rved in the superconducting La2CuO4 compounds.