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Savin AV, Dmitriev SV. Influence of the internal degrees of freedom of coronene molecules on the nonlinear dynamics of a columnar chain. Phys Rev E 2023; 107:054216. [PMID: 37329037 DOI: 10.1103/physreve.107.054216] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/22/2023] [Accepted: 04/29/2023] [Indexed: 06/18/2023]
Abstract
The nonlinear dynamics of a one-dimensional molecular crystal in the form of a chain of planar coronene molecules is analyzed. Using molecular dynamics, it is shown that a chain of coronene molecules supports acoustic solitons, rotobreathers, and discrete breathers. An increase in the size of planar molecules in a chain leads to an increase in the number of internal degrees of freedom. This results in an increase in the rate of emission of phonons from spatially localized nonlinear excitations and a decrease in their lifetime. Presented results contribute to the understanding of the effect of the rotational and internal vibrational modes of molecules on the nonlinear dynamics of molecular crystals.
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Affiliation(s)
- Alexander V Savin
- Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow 119991, Russia
- Plekhanov Russian University of Economics, Moscow 117997, Russia
| | - Sergey V Dmitriev
- Institute of Molecule and Crystal Physics, Ufa Federal Research Centre of Russian Academy of Sciences, Oktyabrya Ave. 151, 450075 Ufa, Russia
- Ufa State Petroleum Technological University, Kosmonavtov St. 1, 450062 Ufa, Russia
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Galiakhmetova LK, Pavlov IS, Bayazitov AM, Kosarev IV, Dmitriev SV. Mechanical Properties of Cubene Crystals. MATERIALS (BASEL, SWITZERLAND) 2022; 15:4871. [PMID: 35888336 PMCID: PMC9315743 DOI: 10.3390/ma15144871] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 06/09/2022] [Revised: 07/03/2022] [Accepted: 07/08/2022] [Indexed: 02/04/2023]
Abstract
The fullerene family, whose most popular members are the spherical C60 and C70 molecules, has recently added a new member, the cube-shaped carbon molecule C8 called a cubene. A molecular crystal based on fullerenes is called fullerite. In this work, based on relaxational molecular dynamics, two fullerites based on cubenes are described for the first time, one of which belongs to the cubic system, and the other to the triclinic system. Potential energy per atom, elastic constants, and mechanical stress components are calculated as functions of lattice strain. It has been established that the cubic cubene crystal is metastable, while the triclinic crystal is presumably the crystalline phase in the ground state (the potential energies per atom for these two structures are -0.0452 and -0.0480 eV, respectively).The cubic phase has a lower density than the monoclinic one (volumes per cubene are 101 and 97.7 Å3). The elastic constants for the monoclinic phase are approximately 4% higher than those for the cubic phase. The presented results are the first step in studying the physical and mechanical properties of C8 fullerite, which may have potential for hydrogen storage and other applications. In the future, the influence of temperature on the properties of cubenes will be analyzed.
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Affiliation(s)
| | - Igor S. Pavlov
- Mechanical Engineering Research Institute of the Russian Academy of Sciences—Branch of Federal Research Center “Institute of Applied Physics of RAS”, 603024 Nizhny Novgorod, Russia; (I.S.P.); (A.M.B.)
| | - Ayrat M. Bayazitov
- Mechanical Engineering Research Institute of the Russian Academy of Sciences—Branch of Federal Research Center “Institute of Applied Physics of RAS”, 603024 Nizhny Novgorod, Russia; (I.S.P.); (A.M.B.)
- Institute of Molecule and Crystal Physics, UFRC of RAS, 450075 Ufa, Russia;
| | - Igor V. Kosarev
- Institute of Molecule and Crystal Physics, UFRC of RAS, 450075 Ufa, Russia;
| | - Sergey V. Dmitriev
- Mechanical Engineering Research Institute of the Russian Academy of Sciences—Branch of Federal Research Center “Institute of Applied Physics of RAS”, 603024 Nizhny Novgorod, Russia; (I.S.P.); (A.M.B.)
- Institute of Molecule and Crystal Physics, UFRC of RAS, 450075 Ufa, Russia;
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Babicheva RI, Semenov AS, Shcherbinin SA, Korznikova EA, Kudreyko AA, Vivegananthan P, Zhou K, Dmitriev SV. Effect of the stiffness of interparticle bonds on properties of delocalized nonlinear vibrational modes in an fcc lattice. Phys Rev E 2022; 105:064204. [PMID: 35854569 DOI: 10.1103/physreve.105.064204] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/18/2022] [Accepted: 05/06/2022] [Indexed: 06/15/2023]
Abstract
Delocalized nonlinear vibrational modes (DNVMs) supported in crystal lattices are exact solutions to the equations of motion of particles that are determined by the symmetry of the lattices. DNVMs exist for any vibration amplitudes and for any interparticle potentials. It is important to know how the properties of DNVMs depend on the parameters of interparticle potentials. In this work, we analyze the effect of the Morse potential stiffness on the properties of one-component DNVMs in a face-centered cubic (fcc) lattice. In particular, the frequencies, kinetic and potential energy, mechanical stress, and elastic constants of DNVMs in a large range of vibration amplitudes are considered. Frequency-amplitude dependency obtained for the Morse crystal is compared with that obtained earlier for copper by using the potentials of the many-body embedded atom method. The properties of DNVMs are mainly dictated by their symmetry and are less influenced by the interparticle potentials. It is revealed that at low and high stiffness of interparticle bonds, different sets of DNVMs have frequencies above the phonon band. This is important to predict the possible types of discrete breathers supported by the fcc lattice. The results obtained in the work enrich the understanding of the influence of interparticle potentials on the properties of the studied family of exact dynamic solutions.
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Affiliation(s)
- Rita I Babicheva
- School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore
| | - Alexander S Semenov
- Polytechnic Institute (Branch) in Mirny, North-Eastern Federal University, Tikhonova Street 5/1, Mirny 678170, Sakha Republic (Yakutia), Russia
| | - Stepan A Shcherbinin
- Peter the Great St. Petersburg Polytechnic University, Politekhnicheskaya Street 29, St. Petersburg 195251, Russia
- Institute of Molecule and Crystal Physics, Ufa Federal Research Centre of Russian Academy of Sciences, Oktyabrya Avenue 151, Ufa 450075, Russia
| | - Elena A Korznikova
- Institute of Molecule and Crystal Physics, Ufa Federal Research Centre of Russian Academy of Sciences, Oktyabrya Avenue 151, Ufa 450075, Russia
- Ufa State Aviation Technical University, Laboratory "Metals and Alloys under Extreme Impacts", Karl Marx Street 12, Ufa 450077, Russia
| | - Aleksey A Kudreyko
- Department of Medical Physics and Informatics, Bashkir State Medical University, Lenin Street 3, Ufa 450008, Russia
| | - Priyanka Vivegananthan
- School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore
| | - Kun Zhou
- School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore
| | - Sergey V Dmitriev
- Institute of Molecule and Crystal Physics, Ufa Federal Research Centre of Russian Academy of Sciences, Oktyabrya Avenue 151, Ufa 450075, Russia
- Institute of Mathematics with Computing Centre, Ufa Federal Research Centre of Russian Academy of Sciences, Ufa 450008, Russia
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