  Using Monte Carlo simulations with the Metropolis algorithm, the magnetic and
thermodynamic behaviours of a spin-1/2, trilayered ferrimagnetic system on
triangular monolayers with quenched nonmagnetic impurities are studied. Two
different theoretical atoms, A and B, make up the ABA and AAB types of distinct
configurations. Like atoms (A-A and B-B) interact ferromagnetically, while
unlike atoms (A-B) interact antiferromagnetically. Only the A-layers are
randomly site-diluted with dilution percentages ranging from 5% to 45%. Such
diluted magnetic thin systems exhibit magnetic compensation which depends
sensitively on the concentration of impurities. The phase diagram in the
Hamiltonian parameter space related to the occurrence of magnetic compensation
phenomenon and the effect of site dilution is discussed in detail. Special
attention is given to the mathematical dependencies of compensation temperature
on the concentration of nonmagnetic impurities. Depending upon the
concentration of nonmagnetic impurities, the compensation and critical points
shift with the equilibrium magnetic behaviours changing between distinct
ferrimagnetic behaviours. For each combination of the coupling strengths, with
values of the impurity concentration above a threshold, compensation appears
where previously was absent. Suggested mathematical formulae show how threshold
impurity concentration relies on Hamiltonian parameters.
