Obtaining Mathematical Formulations of Electrical Properties in Nanosized Tin and Sodium Doped Bi-2212 Superconductor System

Öz

In the presented study, the effect of nano-sized tin doping on strontium sites in the sodium-doped Bi-2212 superconductor system was investigated. Superconducting samples produced using the solid-state reaction method were characterized by X-ray diffraction analysis (XRD) and resistivity temperature measurements (ρ-T). In addition, using the data obtained from the resistivity temperature graph, the theoretical relationship between the nanosized tin doping rate and the superconductivity transition temperature was obtained. Although some impurity phases were formed in the phase analyzes performed by XRD measurement, it was determined that the basic phase structure was Bi-2212 high temperature phase in all samples. In the findings obtained from the resistivity temperature graph, it was observed that all samples exhibited superconducting behavior. It was determined that the sample containing 0.05 nano size tin additive had better superconductivity properties compared to the other samples as a result of the experimental study. On the other hand, the mathematical formulations were obtained using the curve fitting tool in Matlab environment. Using the obtained mathematical formulations, it was theoretically determined that 0.682 nano-sized tin additives could provide optimum superconductivity properties.

Anahtar Kelimeler

• Bi-2212
• Superconductivity Transition Temperature
• Resistivity
• Curve Fitting

Nano Boyutta Kalay ve Sodyum Katkılı Bi-2212 Süperiletken Sisteminde Elektriksel Özelliklerin Matematiksel Formülasyonlarının Elde Edilmesi

Öz

Sunulan çalışmada, sodyum katkılı Bi-2212 süperiletken sisteminde stronsiyum sitelere nano boyutta kalay katkısının etkisi araştırılmıştır. Katı hal tepkime yöntemi kullanılarak üretilen süperiletken örnekler X-ışını kırınım analizi (XRD) ve özdirenç sıcaklık ölçümleri (ρ-T) ile karakterize edildi. Bunun yanında, özdirenç sıcaklık grafiğinden elde edilen veriler kullanılarak, nano boyutta kalay katkılama oranı ve süperiletkenlik geçiş sıcaklığı arasında teoriksel ilişki elde edildi. XRD ölçümü ile yapılan faz analizlerinde bazı safsızlık fazlarının oluşmasına rağmen tüm örneklerde temel faz yapısının Bi-2212 yüksek sıcaklık fazının olduğu tespit edildi. Özdirenç sıcaklık grafiğinden elde edilen bulgularda tüm örneklerin süperiletken davranış sergilediği gözlemlendi. Deneysel çalışma sonucunda, 0.05 oranında nano boyutta kalay katkısı içeren örnek diğer örnekler ile karşılaştırıldığında daha iyi süperiletkenlik özelliklere sahip olduğu belirlendi. Diğer taraftan, Matematiksel formülasyonların elde edilmesi işlemi Matlab ortamında eğri uydurma aracı kullanılarak gerçekleştirildi. Elde edilen matematiksel formülasyonlardan yararlanarak 0.682 oranında nano boyutta kalay katkısının optimum süperiletkenlik özelliklerini sağlayabileceği teoriksel olarak belirlendi.

Anahtar Kelimeler

• Bi-2212
• Süperiletkenlik Geçiş Sıcaklığı
• Eğri Uydurma
• Özdirenç

Kaynakça

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