iron clusters; Monte Carlo simulation; spinorbit coupling effects; temperature dependence Anisotropy; Chains; Hamiltonians; Holmium compounds; Intelligent systems; Magnetic moments; Magnetism; Monte Carlo methods; Temperature distribution; Intermediate temperatures; Iron cluster; Magnetization direction; Short-range magnetic orders; Spin and orbital magnetic moments; Spin-orbit coupling effects; Spin-orbit coupling interactions; Temperature dependence; Spin fluctuations