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Tromer RM, Felix IM, Pereira LFC, da Luz MGE, Junior LAR, Galvão DS. Lattice thermal conductivity of 2D nanomaterials: a simple semi-empirical approach. Phys Chem Chem Phys 2023; 25:28703-28715. [PMID: 37849351 DOI: 10.1039/d3cp02896h] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2023]
Abstract
Extracting reliable information on certain physical properties of materials, such as thermal transport, can be computationally very demanding. Aiming to overcome such difficulties in the particular case of lattice thermal conductivity (LTC) of 2D nanomaterials, we propose a simple, fast, and accurate semi-empirical approach for LTC calculation. The approach is based on parameterized thermochemical equations and Arrhenius-like fitting procedures, thus avoiding molecular dynamics or ab initio protocols, which frequently require computationally expensive simulations. As a proof of concept, we obtain the LTC of some prototypical physical systems, such as graphene (and other 2D carbon allotropes), hexagonal boron nitride (hBN), silicene, germanene, binary, and ternary BNC lattices and two examples of the fullerene network family. Our obtained values are in good agreement with other theoretical and experimental estimations, nonetheless, being derived in a rather straightforward way, at a fraction of the usual computational cost.
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Affiliation(s)
- R M Tromer
- Applied Physics Department, State University of Campinas, Campinas-SP, 13083-970, Brazil.
- Center for Computing in Engineering & Sciences, Unicamp, Campinas-SP, Brazil
| | - I M Felix
- Departamento de Física, Universidade Federal do Rio Grande do Norte, Natal-RN, 59078-970, Brazil
| | - L F C Pereira
- Departamento de Física, Universidade Federal de Pernambuco, Recife-PE, 50670-901, Brazil
| | - M G E da Luz
- Departamento de Física, Universidade Federal do Paraná, Curitiba-PR, 81531-980, Brazil.
| | - L A Ribeiro Junior
- Institute of Physics, University of Brasília, Brasília-DF, 70910-970, Brazil.
| | - D S Galvão
- Applied Physics Department, State University of Campinas, Campinas-SP, 13083-970, Brazil.
- Center for Computing in Engineering & Sciences, Unicamp, Campinas-SP, Brazil
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Freitas A, Machado LD, Bezerra CG, Tromer RM, Azevedo S. Electronic and optical properties of B x C y N z hybrid α-graphynes. RSC Adv 2019; 9:35176-35188. [PMID: 35530706 PMCID: PMC9074177 DOI: 10.1039/c9ra02347j] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/27/2019] [Accepted: 10/15/2019] [Indexed: 01/18/2023] Open
Abstract
Hybrid two-dimensional (2D) materials composed of carbon, boron, and nitrogen constitute a hot topic of research, as their flexible composition allows for tunable properties. However, while graphene-like hybrid lattices have been well characterized, systematic investigations are lacking for various 2D materials. Hence, in the present contribution, we employ first-principles calculations to investigate the structural, electronic and optical properties of what we call B x C y N z hybrid α-graphynes. We considered eleven structures with stoichiometry BC2N and varied atomic arrangements. We calculated the formation energy for each arrangement, and determined that it is low (high) when the number of boron-carbon and nitrogen-carbon bonds is low (high). We found that the formation energy of many our structures compared favorably with a previous literature proposal. Regarding the electronic properties, we found that the investigated structures are semiconducting, with band gaps ranging from 0.02 to 2.00 eV. Moreover, we determined that most of the B x C y N z hybrid α-graphynes proposed here strongly absorb infrared light, and so could potentially find applications in optoelectronic devices such as heat sensors and infrared filters.
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Affiliation(s)
- A Freitas
- Departamento de Física, Universidade Federal do Rio Grande do Norte 59072-970 Natal RN Brazil
| | - L D Machado
- Departamento de Física, Universidade Federal do Rio Grande do Norte 59072-970 Natal RN Brazil
| | - C G Bezerra
- Departamento de Física, Universidade Federal do Rio Grande do Norte 59072-970 Natal RN Brazil
| | - R M Tromer
- Departamento de Física, Universidade Federal do Rio Grande do Norte 59072-970 Natal RN Brazil
| | - S Azevedo
- Departamento de Física, CCEN, Universidade Federal da Paraíba Caixa Postal 5008 58051-970 João Pessoa PB Brazil
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Freitas A, Machado LD, Bezerra CG, Tromer RM, Pereira LFC, Azevedo S. BxCyNz hybrid graphenylene: stability and electronic properties. RSC Adv 2018; 8:24847-24856. [PMID: 35542156 PMCID: PMC9082085 DOI: 10.1039/c8ra02188k] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/13/2018] [Accepted: 05/21/2018] [Indexed: 11/21/2022] Open
Abstract
We combine density functional theory and molecular dynamics to investigate the stability and electronic properties of 20 structures composed of boron, carbon, and nitrogen arranged in the pattern of the two-dimensional carbon allotrope graphenylene.
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Affiliation(s)
- A. Freitas
- Departamento de Física
- Universidade Federal do Rio Grande do Norte
- Natal
- Brazil
| | - L. D. Machado
- Departamento de Física
- Universidade Federal do Rio Grande do Norte
- Natal
- Brazil
| | - C. G. Bezerra
- Departamento de Física
- Universidade Federal do Rio Grande do Norte
- Natal
- Brazil
| | - R. M. Tromer
- Departamento de Física
- Universidade Federal do Rio Grande do Norte
- Natal
- Brazil
| | - L. F. C. Pereira
- Departamento de Física
- Universidade Federal do Rio Grande do Norte
- Natal
- Brazil
| | - S. Azevedo
- Departamento de Física
- CCEN
- Universidade Federal da Paraíba
- João Pessoa
- Brazil
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Tromer RM, Barbosa MB, Bartumeus F, Catalan J, da Luz MGE, Raposo EP, Viswanathan GM. Inferring Lévy walks from curved trajectories: A rescaling method. Phys Rev E Stat Nonlin Soft Matter Phys 2015; 92:022147. [PMID: 26382383 DOI: 10.1103/physreve.92.022147] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/15/2015] [Indexed: 06/05/2023]
Abstract
An important problem in the study of anomalous diffusion and transport concerns the proper analysis of trajectory data. The analysis and inference of Lévy walk patterns from empirical or simulated trajectories of particles in two and three-dimensional spaces (2D and 3D) is much more difficult than in 1D because path curvature is nonexistent in 1D but quite common in higher dimensions. Recently, a new method for detecting Lévy walks, which considers 1D projections of 2D or 3D trajectory data, has been proposed by Humphries et al. The key new idea is to exploit the fact that the 1D projection of a high-dimensional Lévy walk is itself a Lévy walk. Here, we ask whether or not this projection method is powerful enough to cleanly distinguish 2D Lévy walk with added curvature from a simple Markovian correlated random walk. We study the especially challenging case in which both 2D walks have exactly identical probability density functions (pdf) of step sizes as well as of turning angles between successive steps. Our approach extends the original projection method by introducing a rescaling of the projected data. Upon projection and coarse-graining, the renormalized pdf for the travel distances between successive turnings is seen to possess a fat tail when there is an underlying Lévy process. We exploit this effect to infer a Lévy walk process in the original high-dimensional curved trajectory. In contrast, no fat tail appears when a (Markovian) correlated random walk is analyzed in this way. We show that this procedure works extremely well in clearly identifying a Lévy walk even when there is noise from curvature. The present protocol may be useful in realistic contexts involving ongoing debates on the presence (or not) of Lévy walks related to animal movement on land (2D) and in air and oceans (3D).
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Affiliation(s)
- R M Tromer
- Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Natal-RN, 59078-970, Brazil
| | - M B Barbosa
- Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Natal-RN, 59078-970, Brazil
- Centre d'Estudis Avançats de Blanes (CEAB), CSIC, Blanes, 17300, Spain
| | - F Bartumeus
- Centre d'Estudis Avançats de Blanes (CEAB), CSIC, Blanes, 17300, Spain
- CREAF, Campus UAB, Cerdanyola, 08193, Spain
| | - J Catalan
- Centre d'Estudis Avançats de Blanes (CEAB), CSIC, Blanes, 17300, Spain
- CREAF, Campus UAB, Cerdanyola, 08193, Spain
| | - M G E da Luz
- Departamento de Física, Universidade Federal do Paraná, Curitiba-PR, 81531-980, Brazil
| | - E P Raposo
- Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, Recife-PE, 50670-901, Brazil
| | - G M Viswanathan
- Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Natal-RN, 59078-970, Brazil
- National Institute of Science and Technology of Complex Systems, Universidade Federal do Rio Grande do Norte, 59078-970 Natal-RN, Brazil
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