Torsion and Axial Deformations of Chalcogen Helical Chains (S, Se, Te): First Principles Calculations Using Line Symmetry Groups

The atomic structure, electronic, phonon, and optical properties of chalcogen helical chains (S, Se, Te) were studied using line symmetry groups and DFT calculations. The whole possible range of torsion deformations (from 0° to 180°), as well as the range of axial deformations (from 0.6 to 1.6) were...

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Main Authors: Robert A. Evarestov, Vitaly V. Porsev, Dmitry D. Kuruch, Polina Yu. Cherezova
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Nanomaterials
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Online Access:https://www.mdpi.com/2079-4991/15/7/505
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author Robert A. Evarestov
Vitaly V. Porsev
Dmitry D. Kuruch
Polina Yu. Cherezova
author_facet Robert A. Evarestov
Vitaly V. Porsev
Dmitry D. Kuruch
Polina Yu. Cherezova
author_sort Robert A. Evarestov
collection DOAJ
description The atomic structure, electronic, phonon, and optical properties of chalcogen helical chains (S, Se, Te) were studied using line symmetry groups and DFT calculations. The whole possible range of torsion deformations (from 0° to 180°), as well as the range of axial deformations (from 0.6 to 1.6) were considered. For the studied chains, the atomic and electronic structures at the energy minima were found. It was shown that for the considered chalcogen chains, the minimum of electronic energy is in the region of rotation angles ~103–107°. The electronic structure of all chains was considered in the helical Brillouin zone, which made it possible to trace its evolution up to the extreme torsional deformations: 0° (linear chain) and 180° (zigzag chain). A method for obtaining the dispersion of phonon states in the helical Brillouin zone has been developed based on the results of calculations by the CRYSTAL17 program. This allowed us to trace the evolution of phonon dispersion curves under torsion deformations up to their extreme values. Based on the known selection rules for helical polymers, the energies of optical, IR, and Raman transitions were obtained. This allows one to predict the optical properties of atomic chalcogen chains—both in a free state and inside carbon nanotubes.
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spelling doaj-art-c61bf2131fe74a0d8199bdcdd68ad0ee2025-08-20T03:03:21ZengMDPI AGNanomaterials2079-49912025-03-0115750510.3390/nano15070505Torsion and Axial Deformations of Chalcogen Helical Chains (S, Se, Te): First Principles Calculations Using Line Symmetry GroupsRobert A. Evarestov0Vitaly V. Porsev1Dmitry D. Kuruch2Polina Yu. Cherezova3Quantum Chemistry Department, St Petersburg State University, St. Petersburg 199034, RussiaQuantum Chemistry Department, St Petersburg State University, St. Petersburg 199034, RussiaQuantum Chemistry Department, St Petersburg State University, St. Petersburg 199034, RussiaQuantum Chemistry Department, St Petersburg State University, St. Petersburg 199034, RussiaThe atomic structure, electronic, phonon, and optical properties of chalcogen helical chains (S, Se, Te) were studied using line symmetry groups and DFT calculations. The whole possible range of torsion deformations (from 0° to 180°), as well as the range of axial deformations (from 0.6 to 1.6) were considered. For the studied chains, the atomic and electronic structures at the energy minima were found. It was shown that for the considered chalcogen chains, the minimum of electronic energy is in the region of rotation angles ~103–107°. The electronic structure of all chains was considered in the helical Brillouin zone, which made it possible to trace its evolution up to the extreme torsional deformations: 0° (linear chain) and 180° (zigzag chain). A method for obtaining the dispersion of phonon states in the helical Brillouin zone has been developed based on the results of calculations by the CRYSTAL17 program. This allowed us to trace the evolution of phonon dispersion curves under torsion deformations up to their extreme values. Based on the known selection rules for helical polymers, the energies of optical, IR, and Raman transitions were obtained. This allows one to predict the optical properties of atomic chalcogen chains—both in a free state and inside carbon nanotubes.https://www.mdpi.com/2079-4991/15/7/505sulfurseleniumtelluriumline symmetry groupshelical chainsDFT
spellingShingle Robert A. Evarestov
Vitaly V. Porsev
Dmitry D. Kuruch
Polina Yu. Cherezova
Torsion and Axial Deformations of Chalcogen Helical Chains (S, Se, Te): First Principles Calculations Using Line Symmetry Groups
Nanomaterials
sulfur
selenium
tellurium
line symmetry groups
helical chains
DFT
title Torsion and Axial Deformations of Chalcogen Helical Chains (S, Se, Te): First Principles Calculations Using Line Symmetry Groups
title_full Torsion and Axial Deformations of Chalcogen Helical Chains (S, Se, Te): First Principles Calculations Using Line Symmetry Groups
title_fullStr Torsion and Axial Deformations of Chalcogen Helical Chains (S, Se, Te): First Principles Calculations Using Line Symmetry Groups
title_full_unstemmed Torsion and Axial Deformations of Chalcogen Helical Chains (S, Se, Te): First Principles Calculations Using Line Symmetry Groups
title_short Torsion and Axial Deformations of Chalcogen Helical Chains (S, Se, Te): First Principles Calculations Using Line Symmetry Groups
title_sort torsion and axial deformations of chalcogen helical chains s se te first principles calculations using line symmetry groups
topic sulfur
selenium
tellurium
line symmetry groups
helical chains
DFT
url https://www.mdpi.com/2079-4991/15/7/505
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AT vitalyvporsev torsionandaxialdeformationsofchalcogenhelicalchainsssetefirstprinciplescalculationsusinglinesymmetrygroups
AT dmitrydkuruch torsionandaxialdeformationsofchalcogenhelicalchainsssetefirstprinciplescalculationsusinglinesymmetrygroups
AT polinayucherezova torsionandaxialdeformationsofchalcogenhelicalchainsssetefirstprinciplescalculationsusinglinesymmetrygroups