In paper we present experimental data and Monte Carlo calculations of KEr(M
oO4)(2) specific heat in the temperature range 0.4-6 K and in magnetic fiel
d B from 0-1 T applied along the easy axis. The data analysis for B = 0 has
identified KEr(MoO4)(2) as an S = 3/2 Blume-Capel model on rectangular lat
tice with the intrachain exchange interaction (J) over tilde(1)/k(B) = 0.38
K, interchain exchange interaction (J) over tilde(2)/k(B) = - 0.07 K, and
single-ion anisotropy D/k(B) = 10 K, with the ordering temperature T-c = 0.
95 K. Further Monte Carlo studies of the Blume-Capel model in the magnetic
field applied along the easy axis have been focused on the formation of clu
ster excitations in a paramagnetic regime. The magnetic-field dependence of
a cluster mean length studied in the chain direction exactly follows the b
ehavior of S = 1/2 Ising chain at least for the given set of (J) over tilde
(1), (J) over tilde(2). and D parameters. On the other hand, the specific h
eat in nonzero field represents a more sensitive quantity to the presence o
f interchain correlations and the occupation of a higher doublet.