For decades, scientists and researchers believed that two-dimensional (2D) crystals are thermodynamically unstable. Graphene was the first two dimensional material that has successfully been exfoliated from bulk graphite in 2004. We derive interatomic potentials for Graphene for two dimensional lattice structure and using Quasi-harmonic approximations, Mechanical Properties of monolayer Graphene were investigated. The compressibility, hardness, ductility, toughness, brittleness and bonding nature of the Graphene are too well connected with the SOECs. Thus, comprehensive studies on elastic properties are important to show the potential of Graphene in engineering applications. Present studies of monolayer Graphene have been carried out to investigate the elastic constants such as Young’s modulus, Poisson’s ratio, bulk modulus and shear modulus. With the help of elastic constants, the values longitudinal and transverse sound velocities have been computed. We, at present also find the phonon group velocities at Г points along symmetry directions by PYTHON Program. Mechanical Properties were calculated by PYTHON program is agreed very close with the result of other researchers.
| Published in | American Journal of Nanosciences (Volume 8, Issue 4) |
| DOI | 10.11648/j.ajn.20220804.11 |
| Page(s) | 43-47 |
| 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), 2023. Published by Science Publishing Group |
Quasi-Harmonic Approximations, Hamiltonian Mechanics, Elastic Constants, Graphene
| [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] | 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). |
| [6] | 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). |
| [7] | Novel Lattice Thermal Transport in Graphene Bo Peng, Hao Zhang, Hezhu Shao, Yuchen Xu, Xiangchao Zhang and Heyuan Zhu, Scientific Reports, August (2015). |
| [8] | Wu, Liyuan Lu, Pengfei Bi, Jingyun Yang, Chuanghua Song, Yuxin Guan, Pengfei Wang, Shumin, Nanoscale Research Letters, volume 11, 525, (2016). |
| [9] | Bo Peng, Hao Zhang, Hezhu Shao, Yuanfeng Xu, Gang Ni, Rongjun Zhang, and Heyuan Zhu, Phys. Rev. B 94, 245420,(2016). |
| [10] | Bo Peng, Hao Zhang, Hezhu Shao, Yuchen Xu, Xiangchao Zhang, and Heyuan Zhu, Sci Rep., 6, 20225, (2016). |
| [11] | Kamlesh Kumar, M. Imran Aziz, American journal of nanosciences, 8-12 (2022). |
| [12] | Xu-Jin Ge, Kai-Lun Yao, and Jing-Tao Lü, Phys. Rev. B 94, 165433 (2016). |
| [13] | Kamlesh Kumar, M. Imran Aziz, Nafis Ahmad, IJSRST, 9 (2), 323-326, (2022). |
| [14] | Kamlesh Kumar, Mohammad Imran Aziz, Khan Ahmad Anas, American journal of nanosciences, 13-18, (2022). |
| [15] | 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). |
| [16] | Modarersi. M, Kakoee. A, Mogulkoc. Y, Comput. Mater. Sci., 101:164-167 (2015). |
APA Style
Mohammad Imran Aziz, Nafis Ahmad. (2023). A Theoretical Framework of Mechanical Properties of the Monolayer Graphene. American Journal of Nanosciences, 8(4), 43-47. https://doi.org/10.11648/j.ajn.20220804.11
ACS Style
Mohammad Imran Aziz; Nafis Ahmad. A Theoretical Framework of Mechanical Properties of the Monolayer Graphene. Am. J. Nanosci. 2023, 8(4), 43-47. doi: 10.11648/j.ajn.20220804.11
AMA Style
Mohammad Imran Aziz, Nafis Ahmad. A Theoretical Framework of Mechanical Properties of the Monolayer Graphene. Am J Nanosci. 2023;8(4):43-47. doi: 10.11648/j.ajn.20220804.11
Share This Article
Twitter
Linked In
Facebook
Copy
Download@article{10.11648/j.ajn.20220804.11,
author = {Mohammad Imran Aziz and Nafis Ahmad},
title = {A Theoretical Framework of Mechanical Properties of the Monolayer Graphene},
journal = {American Journal of Nanosciences},
volume = {8},
number = {4},
pages = {43-47},
doi = {10.11648/j.ajn.20220804.11},
url = {https://doi.org/10.11648/j.ajn.20220804.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajn.20220804.11},
abstract = {For decades, scientists and researchers believed that two-dimensional (2D) crystals are thermodynamically unstable. Graphene was the first two dimensional material that has successfully been exfoliated from bulk graphite in 2004. We derive interatomic potentials for Graphene for two dimensional lattice structure and using Quasi-harmonic approximations, Mechanical Properties of monolayer Graphene were investigated. The compressibility, hardness, ductility, toughness, brittleness and bonding nature of the Graphene are too well connected with the SOECs. Thus, comprehensive studies on elastic properties are important to show the potential of Graphene in engineering applications. Present studies of monolayer Graphene have been carried out to investigate the elastic constants such as Young’s modulus, Poisson’s ratio, bulk modulus and shear modulus. With the help of elastic constants, the values longitudinal and transverse sound velocities have been computed. We, at present also find the phonon group velocities at Г points along symmetry directions by PYTHON Program. Mechanical Properties were calculated by PYTHON program is agreed very close with the result of other researchers.},
year = {2023}
}
TY - JOUR T1 - A Theoretical Framework of Mechanical Properties of the Monolayer Graphene AU - Mohammad Imran Aziz AU - Nafis Ahmad Y1 - 2023/01/17 PY - 2023 N1 - https://doi.org/10.11648/j.ajn.20220804.11 DO - 10.11648/j.ajn.20220804.11 T2 - American Journal of Nanosciences JF - American Journal of Nanosciences JO - American Journal of Nanosciences SP - 43 EP - 47 PB - Science Publishing Group SN - 2575-4858 UR - https://doi.org/10.11648/j.ajn.20220804.11 AB - For decades, scientists and researchers believed that two-dimensional (2D) crystals are thermodynamically unstable. Graphene was the first two dimensional material that has successfully been exfoliated from bulk graphite in 2004. We derive interatomic potentials for Graphene for two dimensional lattice structure and using Quasi-harmonic approximations, Mechanical Properties of monolayer Graphene were investigated. The compressibility, hardness, ductility, toughness, brittleness and bonding nature of the Graphene are too well connected with the SOECs. Thus, comprehensive studies on elastic properties are important to show the potential of Graphene in engineering applications. Present studies of monolayer Graphene have been carried out to investigate the elastic constants such as Young’s modulus, Poisson’s ratio, bulk modulus and shear modulus. With the help of elastic constants, the values longitudinal and transverse sound velocities have been computed. We, at present also find the phonon group velocities at Г points along symmetry directions by PYTHON Program. Mechanical Properties were calculated by PYTHON program is agreed very close with the result of other researchers. VL - 8 IS - 4 ER -
Email: