Computation of the Magnetic Critical Point Exponent (b) of ferromagnets Using 1 ? Dimensional Ising Model

The magnetic critical point exponent (b) of one-dimensional Ising ferromagnetism was calculated for one-break configurations. In the limit of the applied magnetic field (H) approaches zero and the number of spins (N) approach infinity, the non ? zero magnetization per particle was obtained using Fe, Ni, CrBr3 and EuS materials as case studies. The calculated values of magnetic critical point exponent (β) for Fe, Ni, CrBr3 and EuS at N = 100 are 0.340 ± 0.042; 0.420 ± 0.070; 0.368 ±0.005 and 0.330 ±0.015 respectively. According to Stanely [13], the range of values for magnetic exponent (b) is 0.3 ? 0.5, which is in agreement with the results obtained. The experimental values of critical point exponent (b) of ferromagnetic is presented in Table 10; and is adopted from Itzykson and Drouffe [10].