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Specific Heat and Entropy of a Three Electron Model in Bismuth Based Cuprate Superconductor

Received: 27 March 2018     Accepted: 2 May 2018     Published: 11 June 2018
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Abstract

A theoretical study considering Bi2201, Bi2212 and Bi2223 bismuth based cuprates whose critical Temperatures (TC) are 20K, 95K and 110K with one, two and three CuO2 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 CuO2 planes at the TC. The specific heat for a mole of Bismuth based cuprates at TC was found to be 7.471×10-24JK-1 regardless of the number of CuO2 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 CuO2 planes.The entropy of a mole of Bismuth based cuprates at TC was found to be 5.603×10-24JK-1 irrespective of the TC or mass. The peak Sommerfeld coefficient temperature was noted to occur at the ratio T/TC=0.66 in the bismuth based cuprates.

Published in World Journal of Applied Physics (Volume 3, Issue 2)
DOI 10.11648/j.wjap.20180302.11
Page(s) 19-24
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Superconductivity, Sommerfeld Coefficient, Specific Heat, Entropy

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Cite This Article
  • APA Style

    Odhiambo Oloo Jared, Makokha John Wanjala. (2018). Specific Heat and Entropy of a Three Electron Model in Bismuth Based Cuprate Superconductor. World Journal of Applied Physics, 3(2), 19-24. https://doi.org/10.11648/j.wjap.20180302.11

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    ACS Style

    Odhiambo Oloo Jared; Makokha John Wanjala. Specific Heat and Entropy of a Three Electron Model in Bismuth Based Cuprate Superconductor. World J. Appl. Phys. 2018, 3(2), 19-24. doi: 10.11648/j.wjap.20180302.11

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    AMA Style

    Odhiambo Oloo Jared, Makokha John Wanjala. Specific Heat and Entropy of a Three Electron Model in Bismuth Based Cuprate Superconductor. World J Appl Phys. 2018;3(2):19-24. doi: 10.11648/j.wjap.20180302.11

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  • @article{10.11648/j.wjap.20180302.11,
      author = {Odhiambo Oloo Jared and Makokha John Wanjala},
      title = {Specific Heat and Entropy of a Three Electron Model in Bismuth Based Cuprate Superconductor},
      journal = {World Journal of Applied Physics},
      volume = {3},
      number = {2},
      pages = {19-24},
      doi = {10.11648/j.wjap.20180302.11},
      url = {https://doi.org/10.11648/j.wjap.20180302.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20180302.11},
      abstract = {A theoretical study considering Bi2201, Bi2212 and Bi2223 bismuth based cuprates whose critical Temperatures (TC) are 20K, 95K and 110K with one, two and three CuO2 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 CuO2 planes at the TC. The specific heat for a mole of Bismuth based cuprates at TC was found to be 7.471×10-24JK-1 regardless of the number of CuO2 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 CuO2 planes.The entropy of a mole of Bismuth based cuprates at TC was found to be 5.603×10-24JK-1 irrespective of the TC or mass. The peak Sommerfeld coefficient temperature was noted to occur at the ratio T/TC=0.66 in the bismuth based cuprates.},
     year = {2018}
    }
    

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    AU  - Odhiambo Oloo Jared
    AU  - Makokha John Wanjala
    Y1  - 2018/06/11
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    DO  - 10.11648/j.wjap.20180302.11
    T2  - World Journal of Applied Physics
    JF  - World Journal of Applied Physics
    JO  - World Journal of Applied Physics
    SP  - 19
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    PB  - Science Publishing Group
    SN  - 2637-6008
    UR  - https://doi.org/10.11648/j.wjap.20180302.11
    AB  - A theoretical study considering Bi2201, Bi2212 and Bi2223 bismuth based cuprates whose critical Temperatures (TC) are 20K, 95K and 110K with one, two and three CuO2 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 CuO2 planes at the TC. The specific heat for a mole of Bismuth based cuprates at TC was found to be 7.471×10-24JK-1 regardless of the number of CuO2 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 CuO2 planes.The entropy of a mole of Bismuth based cuprates at TC was found to be 5.603×10-24JK-1 irrespective of the TC or mass. The peak Sommerfeld coefficient temperature was noted to occur at the ratio T/TC=0.66 in the bismuth based cuprates.
    VL  - 3
    IS  - 2
    ER  - 

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Author Information
  • Department of Science Technology and Engineering, Faculty of Science, Kibabii University, Bungoma, Kenya

  • Department of Science Technology and Engineering, Faculty of Science, Kibabii University, Bungoma, Kenya

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