Thermodynamics and Kinetics Analysis of MOD-YBCO Heat Treatment Process Using in situ Resistance Measurement Method

During the fabrication of
$\text{YBa}_{2}\text{Cu}_{3}\text{O}_{7-\delta}$
(YBCO) superconducting films via metal organic deposition (MOD) method, the crystallization temperature
$(T)$
is an important parameter for YBCO nucleation and growth. In this paper,
in situ
resistance measurements were performed to investigate the influence of
$T$
on the growth rate
$(R)$
and saturation nuclei density
$(N)$
of the YBCO film. Based on the reaction–diffusion model, the specific equation of
$R$
as a function of
$T$
was established, and the thermodynamics variables, including standard entropy change, standard enthalpy change, and standard Gibbs free energy change of YBCO formation reaction, were estimated. The influence of
$T$
on
$N$
was analyzed, according to the “capture zone” kinetics mechanism, and the average activation energy for surface diffusion during YBCO nucleation was estimated. The thermodynamics and kinetics analysis in this paper could help to obtain more understanding on the heat treatment process of MOD-YBCO film fabrication.