Analytical modeling of electron energy loss spectroscopy of graphene: Ab initio study versus extended hydrodynamic model
Abstract
We present an analytical modeling of the electron energy loss (EEL) spectroscopy data for free-standing graphene obtained by scanning transmission electron microscope. The probability density for energy loss of fast electrons traversing graphene under normal incidence is evaluated using an optical approximation based on the conductivity of graphene given in the local, i.e., frequency-dependent form derived by both a two-dimensional, two-fluid extended hydrodynamic (eHD) model and an ab initio method. We compare the results for the real and imaginary parts of the optical conductivity in graphene obtained by these two methods. The calculated probability density is directly compared with the EEL spectra from three independent experiments and we find very good agreement, especially in the case of the eHD model. Furthermore, we point out that the subtraction of the zero-loss peak from the experimental EEL spectra has a strong influence on the analytical model for the EEL spectroscopy data. ...(C) 2017 Elsevier B.V. All rights reserved.
Keywords:
Graphene / ab initio / Hydrodynamic model / (S)TEM / EELSSource:
Ultramicroscopy, 2018, 184, 134-142Funding / projects:
- Functional, Functionalized and Advanced Nanomaterials (RS-45005)
- Physical processes in the synthesis of advanced nanostructured materials (RS-171023)
- QuantiXLie Center of Excellence, COST Action MP1306 Modern Tools for Spectroscopy on Advanced Materials: a European Modelling Platform, Natural Sciences and Engineering Research Council of Canada [RGPIN-2016-03689]
DOI: 10.1016/j.ultramic.2017.08.014
ISSN: 0304-3991; 1879-2723
PubMed: 28888108
WoS: 000415650200016
Scopus: 2-s2.0-85028915577
Collections
Institution/Community
VinčaTY - JOUR AU - Đorđević, Tijana AU - Radović, Ivan AU - Despoja, Vito AU - Lyon, Keenan AU - Borka, Duško AU - Mišković, Zoran L. PY - 2018 UR - https://vinar.vin.bg.ac.rs/handle/123456789/1831 AB - We present an analytical modeling of the electron energy loss (EEL) spectroscopy data for free-standing graphene obtained by scanning transmission electron microscope. The probability density for energy loss of fast electrons traversing graphene under normal incidence is evaluated using an optical approximation based on the conductivity of graphene given in the local, i.e., frequency-dependent form derived by both a two-dimensional, two-fluid extended hydrodynamic (eHD) model and an ab initio method. We compare the results for the real and imaginary parts of the optical conductivity in graphene obtained by these two methods. The calculated probability density is directly compared with the EEL spectra from three independent experiments and we find very good agreement, especially in the case of the eHD model. Furthermore, we point out that the subtraction of the zero-loss peak from the experimental EEL spectra has a strong influence on the analytical model for the EEL spectroscopy data. (C) 2017 Elsevier B.V. All rights reserved. T2 - Ultramicroscopy T1 - Analytical modeling of electron energy loss spectroscopy of graphene: Ab initio study versus extended hydrodynamic model VL - 184 SP - 134 EP - 142 DO - 10.1016/j.ultramic.2017.08.014 ER -
@article{ author = "Đorđević, Tijana and Radović, Ivan and Despoja, Vito and Lyon, Keenan and Borka, Duško and Mišković, Zoran L.", year = "2018", abstract = "We present an analytical modeling of the electron energy loss (EEL) spectroscopy data for free-standing graphene obtained by scanning transmission electron microscope. The probability density for energy loss of fast electrons traversing graphene under normal incidence is evaluated using an optical approximation based on the conductivity of graphene given in the local, i.e., frequency-dependent form derived by both a two-dimensional, two-fluid extended hydrodynamic (eHD) model and an ab initio method. We compare the results for the real and imaginary parts of the optical conductivity in graphene obtained by these two methods. The calculated probability density is directly compared with the EEL spectra from three independent experiments and we find very good agreement, especially in the case of the eHD model. Furthermore, we point out that the subtraction of the zero-loss peak from the experimental EEL spectra has a strong influence on the analytical model for the EEL spectroscopy data. (C) 2017 Elsevier B.V. All rights reserved.", journal = "Ultramicroscopy", title = "Analytical modeling of electron energy loss spectroscopy of graphene: Ab initio study versus extended hydrodynamic model", volume = "184", pages = "134-142", doi = "10.1016/j.ultramic.2017.08.014" }
Đorđević, T., Radović, I., Despoja, V., Lyon, K., Borka, D.,& Mišković, Z. L.. (2018). Analytical modeling of electron energy loss spectroscopy of graphene: Ab initio study versus extended hydrodynamic model. in Ultramicroscopy, 184, 134-142. https://doi.org/10.1016/j.ultramic.2017.08.014
Đorđević T, Radović I, Despoja V, Lyon K, Borka D, Mišković ZL. Analytical modeling of electron energy loss spectroscopy of graphene: Ab initio study versus extended hydrodynamic model. in Ultramicroscopy. 2018;184:134-142. doi:10.1016/j.ultramic.2017.08.014 .
Đorđević, Tijana, Radović, Ivan, Despoja, Vito, Lyon, Keenan, Borka, Duško, Mišković, Zoran L., "Analytical modeling of electron energy loss spectroscopy of graphene: Ab initio study versus extended hydrodynamic model" in Ultramicroscopy, 184 (2018):134-142, https://doi.org/10.1016/j.ultramic.2017.08.014 . .