Abstract
A theoretical study considering Bi2201, Bi2212 and Bi2223 bismuth based cuprates whose critical Temperatures (T<sub>C</sub>) are 20K, 95K and 110K with one, two and three CuO<sub>2</sub> planes respectively; based on a three electron model in Bismuth based cuprates oxide shows that there is a direct correlation between energy of interaction and the number of CuO<sub>2</sub> planes at the T<sub>C</sub>. The specific heat for a mole of Bismuth based cuprates at T<sub>C</sub> was found to be 7.471×10<sup>-24</sup>JK<sup>-1</sup> regardless of the number of CuO<sub>2</sub> planes; though the specific heat per unit mass, Sommerfeld coefficient as well as entropy per unit mass decreased with an increase in the number of CuO<sub>2</sub> planes.The entropy of a mole of Bismuth based cuprates at T<sub>C</sub> was found to be 5.603×10<sup>-24</sup>JK<sup>-1</sup> irrespective of the T<sub>C</sub> or mass. The peak Sommerfeld coefficient temperature was noted to occur at the ratio T/T<sub>C</sub>=0.66 in the bismuth based cuprates.
Highlights
Cuprate superconductivity has been studied for the past three decades due to the foreseen applications that will revolutionize the world if the microscopic mechanism behind high temperature superconductivity is discovered
Superconductivity was first discovered by Kamerligh Onnes in 1911 [1], and a further discovery of High Temperature superconductivity (HTS) by Bednorz and Mueller in 1986 [2] inspired intensive research in this area of cuprate high temperature superconductivity resulting to the discovery of Y-Ba-Cu-O [3], Bi-Sr-Ca-Cu-O [4], Tl-Ba-Ca-Cu-O [5] and Hg-Ba-Ca-Cu-O [6]
The following are the conditions for determining specific heat ( '( ), Sommerfeld coefficient () ), entropy (S) and critical temperature (TC) of the system
Summary
Cuprate superconductivity has been studied for the past three decades due to the foreseen applications that will revolutionize the world if the microscopic mechanism behind high temperature superconductivity is discovered. The Bi-based HTSC are superior to the YBCO in respect of higher TC This class of superconductors (unlike YBCO) are resistant to water or humid atmosphere and have the advantage of compositional / oxygen stability, e.g. some of its superconducting phases do not gain or lose oxygen, when the material is annealed at 850°C [12]. Another advantage of the BSCCO materials relates to the fact that BiO layers being Van der Waal bonded, this material can be rolled. It is generally agreed that Bi2212 samples have not reached the degree of purity and structural perfection obtained in YBCO [12]; a theoretical study is advised
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