Estimation on magnetic entropy change and specific heat capacity through phoenomological model for Heusler melt spun ribbon of Ni₄₇Mn_40-xSi_xIn_{3 (x=1, 2 and 3)}

In this, we report the temperature-dependent magnetization [M(T)] in two distinct magnetic fields of 0.5 T and 5 T for Ni47Mn40-xSi (x) In-3 (x = 1, 2, and 3) alloys. Using a phenomenological model and Maxwell's thermodynamic relation, the values of the magnetic entropy change and specific heat capacity are calculated, and their values are also compared. The maximum magnetic entropy change and specific heat capacity peak values for different magnetic fields are both steadily reduced for the samples with x = 1 to 3 samples, which is followed by an increase in relative cooling power value. In comparison to 0.5 T magnetic field, the samples investigate the highest values of magnetic entropy change (3.32, 2.81, 2.01 J kg(-1) K-1) and specific heat capacity (32.37, 14, 4.32 J kg(-1) K-1) with a magnetic field of 5 T. According to this finding, the sample is more responsible for the magnetic field than chemical pressure.