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    • M RANJBAR

      Articles written in Bulletin of Materials Science

    • Volume 45 All articles Published: 18 October 2022 Article ID 0206

      Phase diagram of high temperature Y$_1$Ba$_2$Cu$_3$O$_{7-{\delta}}$ superconductor by Bean’s model and experimental techniques

      G SHAMS M RANJBAR

      More Details Abstract Fulltext PDF

      Phase diagram of Y$_1$Ba$_2$Cu$_3$O$_{7-{\delta}}$ (Y-123) polycrystalline sample via Bean’s model and experimental techniques is depicted by analysing electrical resistivity and vibrating sample magnetometer (VSM). A home-made VSM was used to take M–H data. The resistively upper critical field $H_{c2}$(T) of the sample was deduced from resistivity measurements under magnetic field perpendicular to the current flow direction study. The upper critical field in zero temperature $H_{c2}$(0) was determined by extrapolating applied magnetic field (H) vs. temperature (T). The coherence length, lattice parameters, oxygen content, penetration depth and critical current density at absolute temperature are estimated. The critical state equation $J_c$ = $J_c$(T,B), based on experimental results and Bean critical-state model, was proposed to calculate the critical current density vs. applied magnetic field. Applied critical magnetic field $H_c$ and critical current density $J_c$ vs. temperature T are calculated and plotted. We finally plotted the phase diagram of the polycrystalline sample as an essential structure for the progress of comprehensive applications of high-temperature superconductors, where substantial critical current densities ($J_c$) in the vicinity of applied fields and temperatures are required.

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