Crystallization study of Se₈₆Sb₁₄ glass

Abstract

The present study concerns with high-accuracy determination of crystallization activation energy ($E_{\text{c}}$), the frequency factor ($k_{0}$), the kinetic exponent (n) for Se₈₆Sb₁₄ glass. Different three methods have been used to investigate the $E_{\text{c}} \,{\text{and}}\,k_{0 }$ values. It was found that the deduced value of k ₀ based on Kissinger’s method is too small compared with the others. Therefore, it can’t be used to investigate k ₀ value. Where $E_{\text{c}} \,{\text{and}}\,k_{0}$ values are already known, the overall reaction rate $k = k_{0 } { \exp }\left( { - E_{\text{c}} /\left( {R \cdot T} \right)} \right)$ at any temperature can be calculated. Now, Avrami’s equation ($\chi = 1 - { \exp }\left( { - \left( {kt} \right)^{\text{n}} } \right)$) contains only one unknown which is the kinetic exponent (n). This method enables us to determine n value without any approximations. The values’ crystallization fraction $(\chi_{\text{th}} )$ that theoretically calculated is the same as that experimentally investigated $(\chi_{{{ \exp } .}} )$.