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Study of graphene by proton rainbow scattering

Authorized Users Only
2023
Authors
Hadžijojić, Milivoje
Ćosić, Marko
Article (Published version)
Metadata
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Abstract
We have studied the transmission of 5 keV protons through graphene. Proton dynamics was modeled by classical theory. Proton trajectories define a mapping of the set of initial proton positions to the set of scattering angles. Singularities of the Jacobian associated with the introduced mapping form curves known as the rainbow lines. The differential cross section is infinite along the rainbow lines, making the proton count significantly larger along the rainbow pattern. Hence, rainbows dominantly determine the shape and size of the angular distribution of transmitted protons. It was found that reorientation of the graphene with respect to the incident beam direction and deformation of the graphene crystal lattice induce the transformation of the proton rainbow pattern. We thoroughly studied the morphological properties of the proton rainbow pattern. It was shown that angular distribution and the corresponding rainbow pattern could be used to determine the covariance matrix of atomic th...ermal displacements and to characterize point defects present in graphene. Graphical abstract: [Figure not available: see fulltext.] © 2023, The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature.

Source:
European Physical Journal D. Atoms, Molecules, Clusters and Optical Physics, 2023, 77, 5, 86-
Funding / projects:
  • Ministry of Science, Technological Development and Innovation of the Republic of Serbia, institutional funding - 200017 (University of Belgrade, Institute of Nuclear Sciences 'Vinča', Belgrade-Vinča) (RS-MESTD-inst-2020-200017)

DOI: 10.1140/epjd/s10053-023-00664-y

ISSN: 1434-6060

WoS: 000999907200002

Scopus: 2-s2.0-85160704780
[ Google Scholar ]
5
2
URI
https://vinar.vin.bg.ac.rs/handle/123456789/11092
Collections
  • 010 - Laboratorija za fiziku
  • Radovi istraživača
Institution/Community
Vinča
TY  - JOUR
AU  - Hadžijojić, Milivoje
AU  - Ćosić, Marko
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11092
AB  - We have studied the transmission of 5 keV protons through graphene. Proton dynamics was modeled by classical theory. Proton trajectories define a mapping of the set of initial proton positions to the set of scattering angles. Singularities of the Jacobian associated with the introduced mapping form curves known as the rainbow lines. The differential cross section is infinite along the rainbow lines, making the proton count significantly larger along the rainbow pattern. Hence, rainbows dominantly determine the shape and size of the angular distribution of transmitted protons. It was found that reorientation of the graphene with respect to the incident beam direction and deformation of the graphene crystal lattice induce the transformation of the proton rainbow pattern. We thoroughly studied the morphological properties of the proton rainbow pattern. It was shown that angular distribution and the corresponding rainbow pattern could be used to determine the covariance matrix of atomic thermal displacements and to characterize point defects present in graphene. Graphical abstract: [Figure not available: see fulltext.] © 2023, The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature.
T2  - European Physical Journal D. Atoms, Molecules, Clusters and Optical Physics
T1  - Study of graphene by proton rainbow scattering
VL  - 77
IS  - 5
SP  - 86
DO  - 10.1140/epjd/s10053-023-00664-y
ER  - 
@article{
author = "Hadžijojić, Milivoje and Ćosić, Marko",
year = "2023",
abstract = "We have studied the transmission of 5 keV protons through graphene. Proton dynamics was modeled by classical theory. Proton trajectories define a mapping of the set of initial proton positions to the set of scattering angles. Singularities of the Jacobian associated with the introduced mapping form curves known as the rainbow lines. The differential cross section is infinite along the rainbow lines, making the proton count significantly larger along the rainbow pattern. Hence, rainbows dominantly determine the shape and size of the angular distribution of transmitted protons. It was found that reorientation of the graphene with respect to the incident beam direction and deformation of the graphene crystal lattice induce the transformation of the proton rainbow pattern. We thoroughly studied the morphological properties of the proton rainbow pattern. It was shown that angular distribution and the corresponding rainbow pattern could be used to determine the covariance matrix of atomic thermal displacements and to characterize point defects present in graphene. Graphical abstract: [Figure not available: see fulltext.] © 2023, The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature.",
journal = "European Physical Journal D. Atoms, Molecules, Clusters and Optical Physics",
title = "Study of graphene by proton rainbow scattering",
volume = "77",
number = "5",
pages = "86",
doi = "10.1140/epjd/s10053-023-00664-y"
}
Hadžijojić, M.,& Ćosić, M.. (2023). Study of graphene by proton rainbow scattering. in European Physical Journal D. Atoms, Molecules, Clusters and Optical Physics, 77(5), 86.
https://doi.org/10.1140/epjd/s10053-023-00664-y
Hadžijojić M, Ćosić M. Study of graphene by proton rainbow scattering. in European Physical Journal D. Atoms, Molecules, Clusters and Optical Physics. 2023;77(5):86.
doi:10.1140/epjd/s10053-023-00664-y .
Hadžijojić, Milivoje, Ćosić, Marko, "Study of graphene by proton rainbow scattering" in European Physical Journal D. Atoms, Molecules, Clusters and Optical Physics, 77, no. 5 (2023):86,
https://doi.org/10.1140/epjd/s10053-023-00664-y . .

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