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The mean-field and effective-field approximations are applied in the study ofmagnetic and thermodynamic properties of a spin-$1/2$ Ising system containingthree layers, each of which is composed exclusively of one out of two possibletypes of atoms, \textbf{A} or \textbf{B}. The \textbf{A-A} and \textbf{B-B}bonds are ferromagnetic while the \textbf{A-B} bonds are antiferromagnetic. Theoccurrence of a compensation phenomenon is verified and the compensation andcritical temperatures are obtained as functions of the Hamiltonian parameters.We present phase diagrams dividing the parameter space in regions where thecompensation phenomenon is present or absent and a detailed discussion aboutthe influence of each parameter on the overall behavior of the system is made.

Ferrimagnetism and compensation temperature in spin-$1/2$ Ising trilayers