A Theoretical Framework of Elastic, Thermo-Physical Properties of the Monolayer Stanene

Kamlesh Kumar; Mohammad Imran Aziz; Khan Ahmad Anas; Rahul Kumar Mishra

doi:doi:10.11648/j.ajn.20220803.12

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A Theoretical Framework of Elastic, Thermo-Physical Properties of the Monolayer Stanene

Kamlesh Kumar, Mohammad Imran Aziz, Khan Ahmad Anas, Rahul Kumar Mishra

Published in American Journal of Nanosciences (Volume 8, Issue 3)

Received: 4 August 2022 Accepted: 24 August 2022 Published: 5 September 2022

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Abstract

In the 2D materials family, stanene has drawn a specific interest because of its remarkable exhibitions and properties. Stanene is one of the most active areas of nanomaterials research due to their potential for integration into next-generation electronic. Using many body interactions that lead to bond charge model, the elastic, thermo-physical, and Debye temperature variations of monolayer stanene were investigated. The elasticity is a fundamental property of crystalline materials and is of great importance in physical science, including materials science, solid state physics and chemistry, geological sciences. Elastic constants such as Young’s modulus, Poisson’s ratio, bulk modulus and shear modulus have also been calculated. With the help of Elastic constants, the values longitudinal and transverse sound velocities also have been computed. Various studies of single layer stanene have been carried out to investigate the phonon properties and Phonon Density of States, however, other thermo physical properties such as heat capacity and Grüneisen parameter have been neglected. In this research paper, a comprehensive study on heat capacity and Grüneisen parameter is performed by Python program and all the above mention properties are equally important for engineering applications. Elastic and Thermo-Physical properties were calculated is agreed very close with the result of other researchers.

Published in	American Journal of Nanosciences (Volume 8, Issue 3)
DOI	10.11648/j.ajn.20220803.12
Page(s)	37-42
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), 2022. Published by Science Publishing Group

Keywords

Bond Charge Model, Grüneisen Parameter, Elastic Constants, Heat Capacity, Stanene

References

[1]	A. C. Ferrari, F. Bonaccorso, V. Fal’Ko, K. S. Novoselov, S. Roche, P. Bøggild, S. Borini, F. H. Koppens, V. Palermo, N. Pugno, and et al., Nanoscale 7, 4598 (2015).
[2]	K. S. Novoselov, V. I. Fal’ko, L. Colombo, P. R. Gellert, M. G. Schwab, and K. Kim, Nature 490, 192 (2012).
[3]	W. Weber, Adiabatic bond charge model for phonons in diamond, Si, Ge and α- Sn Phys. Rev. B15, 4789 (1977).
[4]	K. C Rustagi and Weber, adiabatic bond charge model for phonons in A3B5 Semiconductors, Sol. Stat.-comm. 18,673 (1976).
[5]	M. I. Aziz, Ph.D Thesis, V. B. S. P. U, Jaunpur (2010).
[6]	R. K. Singh, Physics Reports (Netherland) 85, 259, (1982).
[7]	A. A. Maradudin, E. W. Montroll, G. H. Weiss, and I. P. Ipatova, Theory of Lattice Dynamics in the Harmonic Approximation, Solid State Physics, Vol. 3, Eds. H. Ehrenreich, F. Seitz, and D. Turnbull, Academic Press, New York (1971).
[8]	P. BruÈesch, Phonons: Theory and Experiments I (Lattice Dynamics and Models of Interatomic Forces), Springer Ser. Solid State Sci. Vol. 34, Eds. M. Cardona, P. Fulde, and H.-J. Queisser, Springer-Verlag, Berlin/Heidelberg/New York (1982).
[9]	Hepplestone S P and Srivastava G P, Lattice dynamics of ultrasmall silicon nanostructures Appl. Phys. Lett. 87 231906, (2005).
[10]	Hepplestone S P and Srivastava G P, Lattice dynamics of silicon nanostructures, Nanotechnology, 17, 3288–98, (2006).
[11]	Seymur Cahangirov, Hasan Sahin, Guy Le Lay and Angel Rubio Introduction to the Physics of Silicene and other 2D Materials, Springer, (2016).
[12]	M. Maniraj, B. Stadtmüller, D. Jungkenn, M. Düvel, S. Emmerich, W. Shi, J. Stöckl, L. Lyu, J. Kollamana, Z. Wei, A. Jurenkow, S. Jakobs, B. Yan, S. Steil, M. Cinchetti, S. Mathias & M. Aeschlimann, Communications Physics, 2, Article number: 12 (2019).
[13]	Sumit Saxena, Raghvendra Pratap Chaudhary & Shobha Shukla Scientific Reports, 6, 31073 (2016).
[14]	Gour P. Dasa, Parul R. Raghuvanshi, Amrita Bhattacharya, 9th International Conference on Materials Structure and Micromechanics of Fracture Phonons and lattice thermal conductivities of graphene family, 23, 334-341, (2019).
[15]	Md. Habibur Rahman, Md Shahriar Islam, Md Saniul Islam, Emdadul Haque Chowdhury, Pritom Bose, Rahul Jayan and Md Mahbubul Islam, Physical Chemistry Chemical Physics, 23, 11028-11038, (2021).
[16]	Novel Lattice Thermal Transport in Stanene Bo Peng, Hao Zhang, Hezhu Shao, Yuchen Xu, Xiangchao Zhang and Heyuan Zhu, Scientific Reports, August (2015).
[17]	Wu, Liyuan Lu, Pengfei Bi, Jingyun Yang, Chuanghua Song, Yuxin Guan, Pengfei Wang, Shumin, Nanoscale Research Letters, volume 11, 525, (2016).
[18]	Bo Peng, Hao Zhang, Hezhu Shao, Yuanfeng Xu, Gang Ni, Rongjun Zhang, and Heyuan Zhu, Phys. Rev. B 94, 245420, (2016).
[19]	Bo Peng, Hao Zhang, Hezhu Shao, Yuchen Xu, Xiangchao Zhang, and Heyuan Zhu, Sci Rep., 6, 20225, (2016).
[20]	Kamlesh Kumar, M. Imran Aziz, American journal of nanosciences, 8-12 (2022).
[21]	Xu-Jin Ge, Kai-Lun Yao, and Jing-Tao Lü, Phys. Rev. B 94, 165433 (2016).
[22]	Kamlesh Kumar, M. Imran Aziz, Nafis Ahmad, IJSRST, 9 (2), 323-326, (2022).
[23]	Kamlesh Kumar, Mohammad Imran Aziz, Khan Ahmad Anas, American journal of nanosciences, 13-18, (2022).
[24]	Lele Tao, Chuanghua Yang, Liyuan Wu, Lihong Han, Yuxin Song, Shumin Wang, and Pengfei Lu, Modern Physics Letters B Vol. 30, No. 12, 1650146 (2016).
[25]	Modarersi. M, Kakoee. A, Mogulkoc. Y, Comput. Mater. Sci., 101: 164-167 (2015).

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APA Style

Kamlesh Kumar, Mohammad Imran Aziz, Khan Ahmad Anas, Rahul Kumar Mishra. (2022). A Theoretical Framework of Elastic, Thermo-Physical Properties of the Monolayer Stanene. American Journal of Nanosciences, 8(3), 37-42. https://doi.org/10.11648/j.ajn.20220803.12

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ACS Style

Kamlesh Kumar; Mohammad Imran Aziz; Khan Ahmad Anas; Rahul Kumar Mishra. A Theoretical Framework of Elastic, Thermo-Physical Properties of the Monolayer Stanene. Am. J. Nanosci. 2022, 8(3), 37-42. doi: 10.11648/j.ajn.20220803.12

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AMA Style

Kamlesh Kumar, Mohammad Imran Aziz, Khan Ahmad Anas, Rahul Kumar Mishra. A Theoretical Framework of Elastic, Thermo-Physical Properties of the Monolayer Stanene. Am J Nanosci. 2022;8(3):37-42. doi: 10.11648/j.ajn.20220803.12

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@article{10.11648/j.ajn.20220803.12,
  author = {Kamlesh Kumar and Mohammad Imran Aziz and Khan Ahmad Anas and Rahul Kumar Mishra},
  title = {A Theoretical Framework of Elastic, Thermo-Physical Properties of the Monolayer Stanene},
  journal = {American Journal of Nanosciences},
  volume = {8},
  number = {3},
  pages = {37-42},
  doi = {10.11648/j.ajn.20220803.12},
  url = {https://doi.org/10.11648/j.ajn.20220803.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajn.20220803.12},
  abstract = {In the 2D materials family, stanene has drawn a specific interest because of its remarkable exhibitions and properties. Stanene is one of the most active areas of nanomaterials research due to their potential for integration into next-generation electronic. Using many body interactions that lead to bond charge model, the elastic, thermo-physical, and Debye temperature variations of monolayer stanene were investigated. The elasticity is a fundamental property of crystalline materials and is of great importance in physical science, including materials science, solid state physics and chemistry, geological sciences. Elastic constants such as Young’s modulus, Poisson’s ratio, bulk modulus and shear modulus have also been calculated. With the help of Elastic constants, the values longitudinal and transverse sound velocities also have been computed. Various studies of single layer stanene have been carried out to investigate the phonon properties and Phonon Density of States, however, other thermo physical properties such as heat capacity and Grüneisen parameter have been neglected. In this research paper, a comprehensive study on heat capacity and Grüneisen parameter is performed by Python program and all the above mention properties are equally important for engineering applications. Elastic and Thermo-Physical properties were calculated is agreed very close with the result of other researchers.},
 year = {2022}
}

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TY  - JOUR
T1  - A Theoretical Framework of Elastic, Thermo-Physical Properties of the Monolayer Stanene
AU  - Kamlesh Kumar
AU  - Mohammad Imran Aziz
AU  - Khan Ahmad Anas
AU  - Rahul Kumar Mishra
Y1  - 2022/09/05
PY  - 2022
N1  - https://doi.org/10.11648/j.ajn.20220803.12
DO  - 10.11648/j.ajn.20220803.12
T2  - American Journal of Nanosciences
JF  - American Journal of Nanosciences
JO  - American Journal of Nanosciences
SP  - 37
EP  - 42
PB  - Science Publishing Group
SN  - 2575-4858
UR  - https://doi.org/10.11648/j.ajn.20220803.12
AB  - In the 2D materials family, stanene has drawn a specific interest because of its remarkable exhibitions and properties. Stanene is one of the most active areas of nanomaterials research due to their potential for integration into next-generation electronic. Using many body interactions that lead to bond charge model, the elastic, thermo-physical, and Debye temperature variations of monolayer stanene were investigated. The elasticity is a fundamental property of crystalline materials and is of great importance in physical science, including materials science, solid state physics and chemistry, geological sciences. Elastic constants such as Young’s modulus, Poisson’s ratio, bulk modulus and shear modulus have also been calculated. With the help of Elastic constants, the values longitudinal and transverse sound velocities also have been computed. Various studies of single layer stanene have been carried out to investigate the phonon properties and Phonon Density of States, however, other thermo physical properties such as heat capacity and Grüneisen parameter have been neglected. In this research paper, a comprehensive study on heat capacity and Grüneisen parameter is performed by Python program and all the above mention properties are equally important for engineering applications. Elastic and Thermo-Physical properties were calculated is agreed very close with the result of other researchers.
VL  - 8
IS  - 3
ER  -

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Author Information

Kamlesh Kumar

Physics Department, Shibli National College, Azamgarh, India
Mohammad Imran Aziz

Physics Department, Shibli National College, Azamgarh, India
Khan Ahmad Anas

Physics Department, Shibli National College, Azamgarh, India
Rahul Kumar Mishra

Physics Department, Shibli National College, Azamgarh, India

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Plain Text BibTeX RIS

APA Style

Kamlesh Kumar, Mohammad Imran Aziz, Khan Ahmad Anas, Rahul Kumar Mishra. (2022). A Theoretical Framework of Elastic, Thermo-Physical Properties of the Monolayer Stanene. American Journal of Nanosciences, 8(3), 37-42. https://doi.org/10.11648/j.ajn.20220803.12

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ACS Style

Kamlesh Kumar; Mohammad Imran Aziz; Khan Ahmad Anas; Rahul Kumar Mishra. A Theoretical Framework of Elastic, Thermo-Physical Properties of the Monolayer Stanene. Am. J. Nanosci. 2022, 8(3), 37-42. doi: 10.11648/j.ajn.20220803.12

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AMA Style

Kamlesh Kumar, Mohammad Imran Aziz, Khan Ahmad Anas, Rahul Kumar Mishra. A Theoretical Framework of Elastic, Thermo-Physical Properties of the Monolayer Stanene. Am J Nanosci. 2022;8(3):37-42. doi: 10.11648/j.ajn.20220803.12

Copy | Download

@article{10.11648/j.ajn.20220803.12,
  author = {Kamlesh Kumar and Mohammad Imran Aziz and Khan Ahmad Anas and Rahul Kumar Mishra},
  title = {A Theoretical Framework of Elastic, Thermo-Physical Properties of the Monolayer Stanene},
  journal = {American Journal of Nanosciences},
  volume = {8},
  number = {3},
  pages = {37-42},
  doi = {10.11648/j.ajn.20220803.12},
  url = {https://doi.org/10.11648/j.ajn.20220803.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajn.20220803.12},
  abstract = {In the 2D materials family, stanene has drawn a specific interest because of its remarkable exhibitions and properties. Stanene is one of the most active areas of nanomaterials research due to their potential for integration into next-generation electronic. Using many body interactions that lead to bond charge model, the elastic, thermo-physical, and Debye temperature variations of monolayer stanene were investigated. The elasticity is a fundamental property of crystalline materials and is of great importance in physical science, including materials science, solid state physics and chemistry, geological sciences. Elastic constants such as Young’s modulus, Poisson’s ratio, bulk modulus and shear modulus have also been calculated. With the help of Elastic constants, the values longitudinal and transverse sound velocities also have been computed. Various studies of single layer stanene have been carried out to investigate the phonon properties and Phonon Density of States, however, other thermo physical properties such as heat capacity and Grüneisen parameter have been neglected. In this research paper, a comprehensive study on heat capacity and Grüneisen parameter is performed by Python program and all the above mention properties are equally important for engineering applications. Elastic and Thermo-Physical properties were calculated is agreed very close with the result of other researchers.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - A Theoretical Framework of Elastic, Thermo-Physical Properties of the Monolayer Stanene
AU  - Kamlesh Kumar
AU  - Mohammad Imran Aziz
AU  - Khan Ahmad Anas
AU  - Rahul Kumar Mishra
Y1  - 2022/09/05
PY  - 2022
N1  - https://doi.org/10.11648/j.ajn.20220803.12
DO  - 10.11648/j.ajn.20220803.12
T2  - American Journal of Nanosciences
JF  - American Journal of Nanosciences
JO  - American Journal of Nanosciences
SP  - 37
EP  - 42
PB  - Science Publishing Group
SN  - 2575-4858
UR  - https://doi.org/10.11648/j.ajn.20220803.12
AB  - In the 2D materials family, stanene has drawn a specific interest because of its remarkable exhibitions and properties. Stanene is one of the most active areas of nanomaterials research due to their potential for integration into next-generation electronic. Using many body interactions that lead to bond charge model, the elastic, thermo-physical, and Debye temperature variations of monolayer stanene were investigated. The elasticity is a fundamental property of crystalline materials and is of great importance in physical science, including materials science, solid state physics and chemistry, geological sciences. Elastic constants such as Young’s modulus, Poisson’s ratio, bulk modulus and shear modulus have also been calculated. With the help of Elastic constants, the values longitudinal and transverse sound velocities also have been computed. Various studies of single layer stanene have been carried out to investigate the phonon properties and Phonon Density of States, however, other thermo physical properties such as heat capacity and Grüneisen parameter have been neglected. In this research paper, a comprehensive study on heat capacity and Grüneisen parameter is performed by Python program and all the above mention properties are equally important for engineering applications. Elastic and Thermo-Physical properties were calculated is agreed very close with the result of other researchers.
VL  - 8
IS  - 3
ER  -

Copy | Download