The Heisenberg chain with random IJ bonds is studied for the quantum s
pin s = 1/2 and in the classical limit. The former is treated by high-
temperature expansion and transfer matrix calculation while the latter
can be analyzed exactly. The disorder leads to a 1/T behavior of the
low-temperature susceptibility in the classical system. For s = 1/2 ou
r analysis reveals a significant residual entropy at low temperature.
From this we conclude that for quantum spins the susceptibility exhibi
ts three different regimes in temperature and that the specific heat h
as a peak in the very low-temperature regime.