A numerical quantum transfer-matrix approach to S = 1 macroscopic chains wi
th single-site anisotropy and alternating bonds is worked out in the framew
ork of statistical mechanics. A fit of the experimental susceptibility data
for a number of the quasi-one-dimensional molecular magnets is performed d
own to the low-temperature region: New microscopic parameters for the unifo
rm as well as the non-uniform systems are established, and the temperature
behaviour of the zero-field susceptibility for different ferro-antiferro co
upling ratios is presented.