Abstract
The ab initio study of tubular nanostructures formed by folding monatomic diamond-like L4, L3-6, and L3-4-6 layers is reported. Density functional theory calculations of the structure show that only polyprismatic tubes based on the L4 layer, designated as (n, 0)L4, and characterized by the n/mmm point group can exist. The other tubular nanostructures are unstable even at a temperature close to 0 K and transform into amorphous or hybrid nanostructures as well as carbon nanotubes. Diameters of the studied (n, 0)L4 tubes range from 0.1997 nm to 0.4667 nm; the translation parameter varies from 0.1622 nm to 0.1634 nm. By the molecular dynamics simulation it is found that an isolated (5, 0)L4 tube having the minimum total energy can be stable at least up to 150 K. In the case of the synthesis of bundles of the most stable L4-diamond-like tubes, they can be unambiguously identified using the calculated X-ray absorption spectrum, the Raman spectrum, and the powder X-ray diffraction pattern.
REFERENCES
H. O. Pierson. Handbook of Carbon, Graphite, Diamond, and Fullerenes: Properties, Processing and Applications. Park Ridge: Noyes, 1993.
Ye. A. Belenkov, V. V. Ivanovskaya, and A.L. Ivanovskii. Nanoalmazy i rodstvennye uglerodnye nanomaterialy (Nanodiamonds and Related Carbon Nanomaterials). Ekaterinburg: UrO RAN, 2008. [In Russian]
J. Robertson. Hard amorphous (diamond-like) carbons. Prog. Solid State Chem., 1991, 21(4), 199-333. https://doi.org/10.1016/0079-6786(91)90002-h
E. A. Belenkov and V. A. Greshnyakov. Structural varieties of polytypes. Phys. Solid State, 2017, 59(10), 1926-1933. https://doi.org/10.1134/s1063783417100055
Y. Yue, Y. Gao, W. Hu, B. Xu, J. Wang, X. Zhang, Q. Zhang, Y. Wang, B. Ge, Z. Yang, Z. Li, P. Ying, X. Liu, D. Yu, B. Wei, Z. Wang, X.-F. Zhou, L. Guo, and Y. Tian. Hierarchically structured diamond composite with exceptional toughness. Nature, 2020, 582(7812), 370-374. https://doi.org/10.1038/s41586-020-2361-2
Y. Zheng, C. Li, J. Liu, J. Wei, X. Zhang, H. Ye, and X. Ouyang. Chemical vapor deposited diamond with versatile grades: from gemstone to quantum electronics. Front. Mater. Sci., 2022, 16(1), 220590. https://doi.org/10.1007/s11706-022-0590-z
E. A. Belenkov and V. A. Greshnyakov. Structure, properties, and possible mechanisms of formation of diamond-like phases. Phys. Solid State, 2016, 58(10), 2145-2154. https://doi.org/10.1134/s1063783416100073
L. K. Rysaeva, D. S. Lisovenko, V. A. Gorodtsov, and J. A. Baimova. Stability, elastic properties and deformation behavior of graphene-based diamond-like phases. Comput. Mater. Sci., 2020, 172, 109355. https://doi.org/10.1016/j.commatsci.2019.109355
E. A. Belenkov and V. A. Greshnyakov. Classification of structural modifications of carbon. Phys. Solid State, 2013, 55(8), 1754-1764. https://doi.org/10.1134/s1063783413080039
R. A. Brazhe and V. S. Nefedov. Thermal conductivity of planar and nanotubular supracrystalline structures at temperatures below the Debye temperature. Phys. Solid State, 2014, 56(3), 626-630. https://doi.org/10.1134/s1063783414030068
K. Ohno, H. Satoh, T. Iwamoto, H. Tokoyama, and H. Yamakado. Exploration of carbon allotropes with four-membered ring structures on quantum chemical potential energy surfaces. J. Comput. Chem., 2019, 40(1), 14-28. https://doi.org/10.1002/jcc.25556
A. Poater, A. G. Saliner, R. Carbó-Dorca, J. Poater, M. Solà, L. Cavallo, and A. P. Worth. Modeling the structure-property relationships of nanoneedles: A journey toward nanomedicine. J. Comput. Chem., 2009, 30(2), 275-284. https://doi.org/10.1002/jcc.21041
K. P. Katin, S. A. Shostachenko, A. I. Avkhadieva, and M. M. Maslov. Geometry, energy, and some electronic properties of carbon polyprismanes: Ab initio and tight-binding study. Adv. Phys. Chem., 2015, 2015, 1-6. https://doi.org/10.1155/2015/506894
M. M. Maslov, K. S. Grishakov, M. A. Gimaldinova, and K. P. Katin. Carbon vs silicon polyprismanes: A comparative study of metallic sp3-hybridized allotropes. Fullerenes, Nanotubes, Carbon Nanostruct., 2020, 28(2), 97-103. https://doi.org/10.1080/1536383x.2019.1680974
V. A. Greshnyakov and E. A. Belenkov. Structure, electronic properties, and stability of carbon double layers composed of atoms in the sp3-hybridized state. J. Exp. Theor. Phys., 2021, 133(6), 744-753. https://doi.org/10.1134/s1063776121120086
P. Giannozzi, O. Andreussi, T. Brumme, O. Bunau, M. Buongiorno Nardelli, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, M. Cococcioni, N. Colonna, I. Carnimeo, A. Dal Corso, S. de Gironcoli, P. Delugas, R. A. DiStasio, A. Ferretti, A. Floris, G. Fratesi, G. Fugallo, R. Gebauer, U. Gerstmann, F. Giustino, T. Gorni, J. Jia, M. Kawamura, H.-Y. Ko, A. Kokalj, E. Küçükbenli, M. Lazzeri, M. Marsili, N. Marzari, F. Mauri, N. L. Nguyen, H.-V. Nguyen, A. Otero-de-la-Roza, L. Paulatto, S. Poncé, D. Rocca, R. Sabatini, B. Santra, M. Schlipf, A. P. Seitsonen, A. Smogunov, I. Timrov, T. Thonhauser, P. Umari, N. Vast, X. Wu, and S. Baroni. Advanced capabilities for materials modelling with Quantum ESPRESSO. J. Phys. Condens. Matter, 2017, 29(46), 465901. https://doi.org/10.1088/1361-648x/aa8f79
J. P. Perdew, K. Burke, and M. Ernzerhof. Generalized gradient approximation made simple. Phys. Rev. Lett., 1996, 77(18), 3865-3868. https://doi.org/10.1103/physrevlett.77.3865
N. Troullier and J. L. Martins. Efficient pseudopotentials for plane-wave calculations. Phys. Rev. B, 1991, 43(3), 1993-2006. https://doi.org/10.1103/physrevb.43.1993
H. J. Monkhorst and J. D. Pack. Special points for Brillouin-zone integrations. Phys. Rev. B, 1976, 13(12), 5188-5192. https://doi.org/10.1103/physrevb.13.5188
O. Bunău and M. Calandra. Projector augmented wave calculation of X-ray absorption spectra at the at the L2,3 edges. Phys. Rev. B, 2013, 87(20), 205105. https://doi.org/10.1103/physrevb.87.205105
M. Lazzeri and F. Mauri. First-principles calculation of vibrational Raman spectra in large systems: signature of small rings in crystalline SiO2. Phys. Rev. Lett., 2003, 90(3), 036401. https://doi.org/10.1103/physrevlett.90.036401
Ya. S. Umanskiy, Yu. A. Skakov, A. N. Ivanov, and L. N. Rastorguev. Kristallografiya, rentgenografiya i elektronnaya mikroskopiya (Crystallography, Radiography and Electron Microscopy). Moscow: Metallurgiya, 1982. [In Russian]
V. A. Greshnyakov, E. A. Belenkov, and M. M. Brzhezinskaya. Theoretical investigation of phase transitions of graphite and cubic diamond into hexagonal 2H diamond under high pressures. Phys. Status Solidi, 2019, 256(7), 1800575. https://doi.org/10.1002/pssb.201800575
V. Greshnyakov and E. Belenkov. Structure and properties of a chiral polymorph of diamond with a crystal lattice of the SA3 type. Lett. Mater., 2021, 11(4), 479-484. https://doi.org/10.22226/2410-3535-2021-4-479-484
Carbon Nanotubes: Synthesis, Structure, Properties, and Applications: Topics in Applied Physics, Vol. 80 / Eds. M. S. Dresselhaus, G. Dresselhaus, and P. Avouris. Berlin, Heidelberg: Springer, 2001. https://doi.org/10.1007/3-540-39947-x
V. A. Greshnyakov and E. A. Belenkov. Calculation of the physicochemical characteristics of a new orthorhombic form of diamond. Inorg. Mater., 2018, 54(2), 111-116. https://doi.org/10.1134/s0020168518020061
E. A. Belenkov, M. M. Brzhezinskaya, and V. A. Greshnyakov. Crystalline structure and properties of diamond-like materials. Nanosyst.: Phys., Chem., Math., 2017, 127-136. https://doi.org/10.17586/2220-8054-2017-8-1-127-136
V. A. Greshnyakov and E. A. Belenkov. Ab initio calculations of carbon bilayers with diamond-like structures. J. Struct. Chem., 2020, 61(6), 835-843. https://doi.org/10.1134/s0022476620060013
P. E. Eaton, Y. S. Or, and S. J. Branca. Pentaprismane. J. Am. Chem. Soc., 1981, 103(8), 2134-2136. https://doi.org/10.1021/ja00398a062
E. M. Baitinger, E. A. Belenkov, M. M. Brzhezinskaya, and V. A. Greshnyakov. Specific features of the structure of detonation nanodiamonds from results of electron microscopy investigations. Phys. Solid State, 2012, 54(8), 1715-1722. https://doi.org/10.1134/s1063783412080057
A. Lippitz, J. F. Friedrich, and W. E. S. Unger. Plasma bromination of HOPG surfaces: A NEXAFS and synchrotron XPS study. Surf. Sci., 2013, 611, L1-L7. https://doi.org/10.1016/j.susc.2013.01.020
M. Brzhezinskaya, E. A. Belenkov, V. A. Greshnyakov, G. E. Yalovega, and I. O. Bashkin. New aspects in the study of carbon-hydrogen interaction in hydrogenated carbon nanotubes for energy storage applications. J. Alloys Compd., 2019, 792, 713-720. https://doi.org/10.1016/j.jallcom.2019.04.107
C. Ehlert, W. E. S. Unger, and P. Saalfrank. C K-edge NEXAFS spectra of graphene with physical and chemical defects: a study based on density functional theory. Phys. Chem. Chem. Phys., 2014, 16(27), 14083-14095. https://doi.org/10.1039/c4cp01106f
H. Kuzmany, R. Pfeiffer, M. Hulman, and C. Kramberger. Raman spectroscopy of fullerenes and fullerene–nanotube composites. Philos. Trans. R. Soc. London, Ser., 2004, 362(1824), 2375-2406. https://doi.org/10.1098/rsta.2004.1446
A. Jorio and R. Saito. Raman spectroscopy for carbon nanotube applications. J. Appl. Phys., 2021, 129(2), 021102. https://doi.org/10.1063/5.0030809
I. Sanc. Pattern: 00-041-1478. Graphite-2H, polytechna (ICDD grant in aid). Czechoslovakia: Panska, Foreign Trade Corporation, 1990.
H. E. Swanson and R. K. Fuyat. Natl. Bur. Stand. Circ., 1953, 539(2), 5.
S. Bandow, M. Takizawa, K. Hirahara, M. Yudasaka, and S. Iijima. Raman scattering study of double-wall carbon nanotubes derived from the chains of fullerenes in single-wall carbon nanotubes. Chem. Phys. Lett., 2001, 337(1-3), 48-54. https://doi.org/10.1016/s0009-2614(01)00192-0
Z. K. Tang, L. Zhang, N. Wang, X. X. Zhang, G. H. Wen, G. D. Li, J. N. Wang, C. T. Chan, and P. Sheng. Superconductivity in 4-angstrom single-walled carbon nanotubes. Science, 2001, 292(5526), 2462-2465. https://doi.org/10.1126/science.1060470
X. Zhao, Y. Ando, Y. Liu, M. Jinno, and T. Suzuki. Carbon nanowire made of a long linear carbon chain inserted inside a multiwalled carbon nanotube. Phys. Rev. Lett., 2003, 90(18), 187401. https://doi.org/10.1103/physrevlett.90.187401
L. Shi, P. Rohringer, K. Suenaga, Y. Niimi, J. Kotakoski, J. C. Meyer, H. Peterlik, M. Wanko, S. Cahangirov, A. Rubio, Z. J. Lapin, L. Novotny, P. Ayala, and T. Pichler. Confined linear carbon chains as a route to bulk carbyne. Nat. Mater., 2016, 15(6), 634-639. https://doi.org/10.1038/nmat4617
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Russian Text © The Author(s), 2023, published in Zhurnal Strukturnoi Khimii, 2023, Vol. 64, No. 2, 106790.https://doi.org/10.26902/JSC_id106790
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Greshnyakov, V.A. AB INITIO STUDY OF L4-, L3-6-, AND L3-4-6-DIAMOND-LIKE TUBULAR NANOSTRUCTURES. J Struct Chem 64, 324–334 (2023). https://doi.org/10.1134/S0022476623020166
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DOI: https://doi.org/10.1134/S0022476623020166