“…Another interesting system is the Ising model with mixed half-integer spins S = 3/2 and S = 5/2 which has been studied theoretically by several methods, such as the effective field theory with correlations (Zhang et al , 2005), the exact recursion relations on the Bethe lattice (Albayrak and Yigit, 2006), the mean field approximation (Mohamad, 2013) and the MCS (Vélez et al , 2014; De La Espriella and Buendía, 2011); all these works exhibit a rich critical behavior in phase diagrams, especially the first-order and second-order phase transitions and the compensation temperatures. In addition, there are several experimental studies for isoelectric compounds and structural species which are systems with mixed spins (3/2 and 5/2), such as Cs 2 Mn II [V II (CN) 6 ] (Entley and Girolami, 1995), CsMn II [Cr III (CN) 6 ]H 2 O (Babel, 1986) and Mn II [Mn IV (CN) 6 ] x H 2 O (Klenze et al , 1980); these three compounds have d 5 Mn II centers and d 3 metal centers (V II , Cr III and Mn IV ), and the magnetic transition temperatures obtained are about 125 K, 90 K and, 49 K respectively. Furthermore, another experimental works have shown that the mixed spin-3/2 and spin-5/2 systems are responsible for unusual magnetic properties of the bacterial heme proteins known as the ferricytochromes c' (Maltempo, 1974).…”