Abstract
The present work considers an endohedrally encapsulated guest Li atom immersed in a nonideal classical plasma under a spherical encompassment. In this combined system, the Woods–Saxon potential is used as the model for endohedral fullerene (EF), while the model potential approach is employed for the Li atom. The relevant wave equation is solved by the tridiagonal matrix method. The energy states, oscillator strengths, dipole polarizabilities, orbital charge-currents and induced magnetic fields of the \(\mathrm{Li}@\mathrm{C}_{n}\) system are examined in detail for both structural effects and plasma shielding effects. The combined system under consideration and the corresponding investigations have never been reported in the literature before. Various types of EFs can be synthesized experimentally. However, considering the fact that experimental production is still in its infancy, the necessity of a great number of theoretical studies becomes clearer. The most important expectation in this work is to establish a tuning mechanism thanks to elucidating the effect of the structural specifications of EFs on the mentioned atomic properties as well as the functionality of the plasma shielding effect, which we believe is provided. All parameter values in this work are experimentally achievable. Both special data values and data ranges, which causes remarkable features for the system, are determined. By examining these data, the alternatives of the parameters to each other for the purpose-oriented functions are also analyzed.
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Data Availability Statement
This manuscript has no associated data added to any data repository. The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.
References
Y. Matsuo, H. Okada, H. Ueno, Endohedral Lithium-containing Fullerenes, vol. 1 (Springer, Singapore, 2017)
Y. Pan, X. Liu, W. Zhang, Z. Liu, G. Zeng, B. Shao, Q. Liang, Q. He, X. Yuan, D. Huang, M. Chen, Appl. Catal. B Environ. 265, 118579 (2020)
C. Ju, D. Sriter, J. Du, Phys. Rev. A 75, 012318 (2007)
L. Becker, R.J. Poreda, T.E. Bunch, Proc. Natl. Acad. Sci. 97, 2979 (2000)
R. Bakry, R.M. Vallant, M. Najam-ul-Haq, M. Rainer, Z. Szabo, C.W. Huck, G.K. Bonn, Int. J. Nanomed. 2, 639 (2007)
R.C. Masters, A.J. Pearson, T.S. Glen, F.-C. Sasam, L. Li, M. Dapor, A.M. Donald, D.G. Lidzey, C. Rodenburg, Nat. Commun. 6, 6928 (2015)
H. Shinohara, N. Tagmatarchis, S.H. Kroto, Endohedral Metallofullerenes: Fullerenes with Metal Inside, 1st edn. (Wiley, 2015)
V.K. Dolmatov, A. Baltenkov, J.-P. Connerade, S. Manson, Radiat. Phys. Chem. 70, 417 (2004)
O. Motapon, S.A. Ndengue, K.D. Sen, Int. J. Quantum Chem. 111, 4425 (2011)
V.K. Dolmatov, A. Edwards, J. Phys. B Atomic Mol. Opt. Phys. 52, 105001 (2019)
K.A. Dubey, K. Srikanth, T.R. Rao, J. Jose, Comput. Phys. Commun. 4, 075016 (2020)
S.A. Ndengue, O. Motapon, J. Phys. B Atomic Mol. Opt. Phys. 41, 045001 (2008)
V.K. Dolmatov, J.L. King, J.C. Oglesby, J. Phys. B Atomic Mol. Opt. Phys. 45, 105102 (2012)
Y.B. Xu, M.Q. Tan, U. Becker, Phys. Rev. Lett. 76, 3538 (1996)
R.D. Woods, D.S. Saxon, Phys. Rev. 95, 577 (1954)
C.Y. Lin, Y.K. Ho, J. Phys. B Atomic Mol. Opt. Phys. 45, 145001 (2012)
P.C. Deshmukh, J. Jose, H.R. Varma, S.T. Manson, Eur. Phys. J. D 75, 166 (2021)
S.K. Chaudhuri, P.K. Mukherjee, B. Fricke, Eur. Phys. J. D 70, 196 (2016)
E. Cuestas, P. Serra, Int. J. Mod. Phys. B 30, 1650055 (2016)
E.M. Nascimento, F.V. Prudente, M.N. Guimaraes, A.M. Maniero, J. Phys. B Atomic Mol. Opt. Phys. 015003, 44 (2011)
L. Wu, S. Zhang, B. Li, Phys. Lett. A 384, 126033 (2020)
C. Martinez-Flores, Phys. Lett. A 386, 126988 (2021)
J.P. Connerade, V.K. Dolmatov, S.T. Manson, J. Phys. B Atomic Mol. Opt. Phys. 33, 2279 (2000)
A. Kumar, H.R. Varma, P.C. Deshmukh, S.T. Manson, V.K. Dolmatov, A. Kheifets, Phys. Rev. A 94, 43401 (2016)
S. Saha, A. Thuppilakkadan, H.R. Varma, J. Jose, J. Phys. B Atomic Mol. Opt. Phys. 52, 145001 (2019)
A. Ponzi, P. Decleva, S.T. Manson, Phys. Rev. A 92, 023405 (2015)
A. Müller, M. Martins, A.L.D. Kilcoyne, R.A. Phaneuf, J. Hellhund, A. Borovik, K. Holste, S. Bari, T. Buhr, S. Klumpp, A. Perry-Sassmannshausen, S. Reinwardt, S. Ricz, K. Schubert, S. Schippers, Phys. Rev. A 99, 063401 (2019)
R. Obaid, H. Xiong, S. Augustin, K. Schnorr, U. Ablikim, A. Battistoni, T.J.A. Wolf, R.C. Bilodeau, T. Osipov, K. Gokhberg, D. Rolles, A.C. LaForge, N. Berrah, Phys. Rev. Lett. 124, 113002 (2020)
R. Brandenburg, J. Schweinzer, S. Fiedler, F. Aumayr, H.P. Winter, Plasma Phys. Control. Fusion 41, 471 (1999)
S. Nakai, K. Mima, Rep. Progress Phys. 67, 321 (2004)
J.K. Saha, S. Bhattacharyya, T.K. Mukherjee, P.K. Mukherjee, J. Phys. B Atomic Mol. Opt. Phys. 42, 245701 (2009)
Y.Y. Qi, J.G. Wang, R.K. Janev, Phys. Rev. A 80, 063404 (2009)
S. Sahoo, Y.K. Ho, Phys. Plasmas 13, 063301 (2006)
T.N. Chang, T.K. Fang, Y.K. Ho, Phys. Plasmas 20, 092110 (2013)
S. Kar, Y. Wang, Z. Jiang, S. Li, K. Ratnevalu, Phys. Plasmas 21, 012105 (2014)
Y. Ning, Z.C. Yun, Y.K. Ho, Phys. Plasmas 22, 013302 (2015)
M. Das, Phys. Plasmas 19, 092707 (2012)
S. Kar, H.W. Li, P. Jiang, Phys. Plasmas 20, 083302 (2013)
K. Ratnevalu, A. Ghoshal, S. Nayek, A. Bhattacharya, M.Z.M. Kamali, Eur. Phys. J. D 70, 1 (2016)
P. Rej, A. Ghoshal, J. Phys. B Atomic Mol. Opt. Phys. 49, 1 (2016)
Y.Y. Qi, J.G. Wang, R.K. Janev, Phys. Rev. A 78, 062511 (2008)
Y.Y. Qi, Y. Wu, J.G. Wang, Y.Z. Qu, Phys. Plasmas 16, 023502 (2009)
C. Martinez-Flores, R. Cabrera-Trujillo, Matter Radiat. Extremes 3, 227 (2018)
V.E. Fortov, I.T. Iakubov, The Physics of Non-ideal Plasma (World Scientific, 2000)
P. Debye, E. Hückel, Phys. Z. 24, 185 (1923)
H. Yukawa, Proc. Phys. Math. Soc. Jpn. 17, 48 (1935)
D. Zubarev, V. Morozov, G. Röpke, Statistical Mechanics of Nonequilibrium Processes, in Basic Concepts, Kinetic Theory, vol. 1, (Akademie Verlag, Belin, 1996)
M. Aramaki, in Proceedings of the 12th Asia Pacific Physics Conference vol 1, (2014) p. 015017
B. Das, A. Karmakar, A. Ghoshal, Phys. Plasmas 26, 083507 (2019)
B. Das, A. Ghoshal, Int. J. Quantum Chem. 121, e26649 (2021)
B. Das, A. Ghoshal, Phys. Rev. E 101, 043202 (2020)
B. Das, A. Ghoshal, Few-Body Syst. 61, 22 (2020)
S. Mondal, S.K. Nayek, J.K. Saha, Eur. Phys. J. Plus 137, 373 (2022)
K.D. Sen, K. Kumar, C. Yadav, V. Prasad, Eur. Phys. J. Plus 137, 78 (2022)
I. Radu, K. Vahaplar, C. Stamm, T. Kachel, N. Pontius, H.A. Dürr, T.A. Ostler, J. Barker, R.F.L. Evans, R.W. Chantrell, A. Tsukamoto, A. Itoh, A. Kirilyuk, Th. Rasing, A.V. Kimel, Nat. Phys. 472, 205 (2011)
G.P. Zhang, G. Lefkidis, W. Hübner, Y. Bai, J. Appl. Phys. 111, 07C508 (2012)
G.P. Zhang, W. Hübner, G. Lefkidis, Y. Bai, T.F. George, Nat. Phys. 5, 499 (2009)
M.K. Bahar, Chem. Phys. 557, 111484 (2022)
E.K. Campbell, M. Holz, D. Gerlich, J.P. Maier, Nature 523, 322 (2015)
G. Xu, M.D. Barriga-Carrasco, A. Blazevic, B. Borovkov, D. Casas et al., Phys. Rev. Lett. 119, 204801 (2017)
C. Teske, Y. Liu, S. Blaes, J. Jacoby, Phys. Plasmas 19, 033505 (2012)
G.N. Churilov, P.V. Novikov, V.E. Tarabanko, V.A. Lopatin, N.G. Vnukova, N.V. Bulina, Carbon 40(6), 891 (2002)
W. Oohara, R. Hatakeyama, Phys. Rev. Lett. 91(20), 205005 (2003)
R.A. Ganeev, H. Singhal, P.A. Naik, J.A. Chakera, A.K. Srivastava, T.S. Dhami, P.D. Gupta, J. Appl. Phys. 106, 103103 (2009)
F.B. Baimbetov, Kh.T. Nurekenov, T.S. Ramazanov, Phys. Lett. A 202, 211 (1995)
A. Hilbert, Adv. Atomic Mol. Phys. 18, 309 (1982)
G. Peach, H.E. Saraph, M.J. Seaton, J. Phys. B 21, 3669 (1988)
S. Sahoo, Y.K. Ho, J. Phys. B 33, 2195 (2000)
S. Sahoo, Y.K. Ho, Phys. Rev. A 65, 015403 (2001)
S. Sahoo, Y.K. Ho, Chin. J. Phys. 43, 58 (2005)
H.W. Li, S. Kar, Phys. Plasmas 19, 073303 (2012)
F. Maeder, W. Kutzelnigg, Chem. Phys. 42, 95 (1979)
B.N. Datta, Numerical Linear Algebra and Applications, 2nd edn. (SIAM, Philadelphia, 2010)
A. Messiah, Quantum Mechanics (Elsevier, Amsterdam, 1961)
H.A. Bethe, E.E. Salpeter, Quantum Mechanics of One and Two-Electron Atoms (Plenum, New York, 1977)
M.K. Bahar, Eur. Phys. J. Plus 136, 1119 (2021)
I. Barth, J. Manz, Phys. Rev. A 75, 012510 (2007)
W. Greiner, Theoretische Physik, Bd. 4: Quantenmechanik (Einführung Verlag Harri Deutsch, Frankfurt am Main, 2005)
J.O. Hirschfelder, C.F. Curtis, R.B. Bird, Molecular Theory of Gases and Liquids, vol. 264 (Wiley, 1954)
B. Saha, P.K. Mukherjee, G.H.F. Diercksen, Astron. Astrophys. 396, 337 (2002)
S.K. Nayek, J.K. Saha, Braz. J. Phys. 51, 927 (2021)
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Bahar, M.K. \(\mathrm{Li}@\mathrm{C}_{n}\) immersed in nonideal classical plasmas. Eur. Phys. J. Plus 137, 1076 (2022). https://doi.org/10.1140/epjp/s13360-022-03282-6
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DOI: https://doi.org/10.1140/epjp/s13360-022-03282-6