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), 2024. Published by Science Publishing Group |
Quasi-Harmonic Approximations, Hamiltonian Mechanics, Elastic Constants, Graphene
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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
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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 -
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