Trilayered, Ising, spin-$1/2$, ferrimagnets are interesting subjects for simulational studies for they show compensation effect. A Monte Carlo study on such a system with sublayers on a triangular lattice is performed in the current work. Three layers, making up the bulk, is formed completely by either A or B type of atoms. The interactions between like atoms (A-A; B-B) are ferromagnetic and between unlike atoms (A-B) are anti-ferromagnetic. Thus the system has three coupling constants and manifests into two distinct trilayer compositions: AAB and ABA. Metropolis single spin-flip algorithm is employed for the simulation and the location of the critical points (sublattice magnetisations vanish, leading to zero bulk magnetisation) and the compensation points (bulk magnetisation vanishes but nonzero sublattice magnetisations exist) are estimated. Close range simulations with variable lattice sizes for compensation point and Binder's cumulant crossing technique for critical points are employed for analysis and conditions for the existence of compensation points are determined. Comprehensive phase diagrams are obtained in the Hamiltonian parameter space and morphological studies at critical and compensation temperatures for both the configurations are also reported. The alternative description in terms of Inverse absolute of reduced residual magnetisation and Temperature interval between Critical and Compensation temperatures is also proposed and compared with traditional simulational results. Such simulational studies and the proposed systematics of compensation effect are useful in designing materials for specific technological applications.

三层，伊辛，自旋$\mathrm{1个}/\mathrm{2个}$，ferrimagnets是有趣的模拟研究主题，因为它们显示出补偿作用。在当前工作中，对这种系统在三角形格子上具有子层的蒙特卡洛研究进行了研究。组成主体的三层完全由A或B型原子形成。相似原子（AA; BB）之间的相互作用是铁磁性的，而不同原子（AB）之间的相互作用是反铁磁性的。因此，系统具有三个耦合常数，并表现为两个不同的三层成分：AAB和ABA。仿真采用Metropolis单自旋翻转算法，并估计了临界点的位置（亚晶格磁化强度消失，导致零体积磁化强度）和补偿点（本体磁化强度消失，但存在非零亚晶格磁化强度）。对于补偿点，使用可变晶格大小的近距离模拟，对于临界点，使用Binder的累积量交叉技术进行分析，并确定补偿点的存在条件。在汉密尔顿参数空间中获得了全面的相图，并且还报道了两种配置在临界温度和补偿温度下的形态研究。在以下方面的替代描述 在汉密尔顿参数空间中获得了全面的相图，并且还报道了两种配置在临界温度和补偿温度下的形态研究。在以下方面的替代描述 在汉密尔顿参数空间中获得了全面的相图，并且还报道了两种配置在临界温度和补偿温度下的形态研究。在以下方面的替代描述逆绝对减少残留磁化和临界和补偿温度之间的温度间隔，还提出并与传统simulational结果进行比较。这样的模拟研究和拟议的补偿效果系统对于设计用于特定技术应用的材料很有用。