Abstract
The electronic and vibrational characteristics of a Y splitter based on trans-polyacetylene molecular chains are studied using the density functional method. It is shown that the localized electronic states are formed at the branching point. Their energy is determined by the mutual orientation and length of the branches. The Raman-active localized vibrational modes are present in a phonon spectrum of a splitter. The intensity of the fundamental oscillation is determined by the maximum length of the linear conjugated fragment of a splitter.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Y. Zheng, S. Li, Zh. Wenga, et al., Chem. Soc. Rev. 44, 4091 (2015).
M. K. Mishra and Sh. Kobayashi, Star and Hyperbranched Polymers (Marcel Dekker, New York, 1999), p. 350.
J. W. Y. Lam and B. Zh. Tang, J. Polym. Sci., Part A 41, 2607 (2003).
J. W. Y. Lam and B. Zh. Tang, Acc. Chem. Res. 38, 745 (2005).
C. Gao and D. Yan, Prog. Polym. Sci. 29, 183 (2004).
B. I. Voit and A. Lederer, Chem. Rev. 109, 5924 (2009).
A. Hirao, T. Higashihara, M. Nagura, et al., Macromolecules 39, 6081 (2006).
Y. Zhao, T. Higashihara, K. Sugiyama, et al., Macromolecules 40, 228 (2007).
A. A. Gorbatsevich and M. N. Zhuravlev, JETP Lett. 100, 576 (2014).
A. Hirao, Y. Karasawa, T. Higashihara, et al., Des. Monom. Polym. 7 (6), 647 (2004).
G. A. Snook, P. Kao, and A. S. Best, J. Power Sources 196, 1 (2011).
J. Ma, Sh. Li, and Yu. Jiang, Macromolecules 35, 1109 (2002).
M. J. G. Peach, E. I. Tellgren, P. Salek, et al., J. Phys. Chem. A 111, 11930 (2007).
A. J. Heeger, Rev. Mod. Phys. 73, 681 (2001).
A. J. Heeger, S. Kivelson, J. R. Schrieffer, et al., Rev. Mod. Phys. 60, 781 (1988).
E. R. Blythe and D. Bloor, Electrical Properties of Polymers (Cambridge Univ. Press, Cambridge, 2008; Fizmatlit, Moscow, 2008).
J. A. Pople and S. H. Walmsley, Mol. Phys. 5, 15 (1962).
S. A. Brazovskii, JETP Lett. 28, 606 (1978).
L. D. Landau and E. M. Lifshits, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Nonrelativistic Theory (Nauka, Moscow, 1989; Pergamon, New York, 1977).
J. R. Ferraro, K. Nakamoto, and C. W. Brown, Introductory Raman Spectroscopy (Academic, New York, 2003), p. 434.
C. Castiglioni, M. Tommasini, and G. Zerbi, Phil. Trans. R. Soc. London A 362, 2425 (2004).
M. Giacomo and S. Saveria, Carbon the Future Material for Advanced Technology Applications (Springer, Berlin, Heidelberg, 2006).
H. E. Schaffer, R. R. Chance, R. J. Silbey, et al., J. Chem. Phys. 94, 4161 (1991).
I. Harada, Yu. Furukawa, M. Tasumi, et al., J. Chem. Phys. 73 (10), 4746 (1980).
E. J. Heller, Yu. Yang, and L. Kocia, ACS Cent. Sci. 1, 40 (2015).
D. Schäfer-Siebert, S. Roth, C. Budrowski, et al., Synth. Met. 21, 285 (1987).
B. L. Feringa, R. A. van Delden, N. Koumura, et al., Chem. Rev. 100, 1789 (2000).
J. M. J. Frechet and D. Tomalia, Dendrimers and Other Dendritic Polymers (Wiley, Chichester, UK, 2001).
V. Balzani, P. Ceroni, M. Maestri, et al., Curr. Opin. Chem. Biol. 7, 657 (2003).
V. Balzani, S. Campagna, G. Denti, et al., Acc. Chem. Res. 31, 26 (1998).
M. Siltanen, S. Cattaneo, E. Vuorimaa, et al., J. Chem. Phys. 121, 2445 (2004).
D. S. Bradshaw, L. David, and D. L. Andrews, Polymers 3, 2053 (2011).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.A. Gorbatsevich, M.N. Zhuravlev, T.S. Kataeva, V.M. Kobryanskii, 2016, published in Rossiiskie Nanotekhnologii, 2016, Vol. 11, Nos. 11–12.
Rights and permissions
About this article
Cite this article
Gorbatsevich, A.A., Zhuravlev, M.N., Kataeva, T.S. et al. Localized electrons and phonons in branched polyacetylene molecules. Nanotechnol Russia 11, 820–829 (2016). https://doi.org/10.1134/S1995078016060100
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1995078016060100