Analysis and mathematical computation of some dynamic functions for the guanidine zinc sulfate

Abstract

A power-law formula with a critical exponent $\alpha$ was used to analyze the anomalous behavior of the specific heat for guanidine zinc sulfate (GZS) crystal close to the phase transition temperature of T_C = 178.4 K. The obtained values of 0.13 and 0.14 for $\alpha$ below (T < T_C) and above (T > T_C) the phase transition temperature, respectively, were almost the same value of 0.13 (1/8) that predicted from the 3-D Ising model. Also, the internal energy $U,$ the entropy $S$ and the free energy $G$ of this crystal were calculated as a function of temperature close to the phase transition temperature of T_C = 178.4 K.

Keywords:

• Ising model
• analysis
• mathematical computation
• specific heat
• GZS