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

Odhiambo Oloo Jared; Makokha John Wanjala

doi:doi:10.11648/j.wjap.20180302.11

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

Odhiambo Oloo Jared, Makokha John Wanjala

Published in World Journal of Applied Physics (Volume 3, Issue 2)

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 (T_C) 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 T_C. The specific heat for a mole of Bismuth based cuprates at T_C 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 T_C was found to be 5.603×10^-24JK^-1 irrespective of the T_C or mass. The peak Sommerfeld coefficient temperature was noted to occur at the ratio T/T_C=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), 2024. Published by Science Publishing Group

Keywords

Superconductivity, Sommerfeld Coefficient, Specific Heat, Entropy

References

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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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TY  - JOUR
T1  - Specific Heat and Entropy of a Three Electron Model in Bismuth Based Cuprate Superconductor
AU  - Odhiambo Oloo Jared
AU  - Makokha John Wanjala
Y1  - 2018/06/11
PY  - 2018
N1  - https://doi.org/10.11648/j.wjap.20180302.11
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
EP  - 24
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

Odhiambo Oloo Jared

Department of Science Technology and Engineering, Faculty of Science, Kibabii University, Bungoma, Kenya
Makokha John Wanjala

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

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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

Copy | Download

@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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TY  - JOUR
T1  - Specific Heat and Entropy of a Three Electron Model in Bismuth Based Cuprate Superconductor
AU  - Odhiambo Oloo Jared
AU  - Makokha John Wanjala
Y1  - 2018/06/11
PY  - 2018
N1  - https://doi.org/10.11648/j.wjap.20180302.11
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
EP  - 24
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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