Abstract
The role of thermal effects in the focused electron beam-induced deposition (FEBID) of Me\(_2\)Au(tfac) is studied by means of irradiation-driven molecular dynamics simulations. The FEBID of Me\(_2\)Au(tfac), a commonly used precursor molecule for the fabrication of gold-containing nanostructures, is simulated at different temperatures in the range of \(300-450\) K. The deposit’s structure, morphology, growth rate, and elemental composition at different temperatures are analyzed. The fragmentation cross section for Me\(_2\)Au(tfac) is evaluated on the basis of the cross sections for structurally similar molecules. Different fragmentation channels involving the dissociative ionization (DI) and dissociative electron attachment (DEA) mechanisms are considered. The conducted simulations of FEBID confirm experimental observations that deposits consist of small gold clusters embedded into a carbon-rich organic matrix. The simulation results indicate that accounting for both DEA- and DI-induced fragmentation of all the covalent bonds in Me\(_2\)Au(tfac) and increasing the amount of energy transferred to the system upon fragmentation increase the concentration of gold in the deposit. The simulations predict an increase in Au:C ratio in the deposit from 0.18 to 0.32 upon the temperature increase from 300 to 450 K, being within the range of experimentally reported values.
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Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The datasets generated during and/or analyzed during the current study are available from the corresponding author upon reasonable request].
References
I. Utke, S. Moshkalev, P. Russel, Nanofabrication using focused ion and electron beams (Oxford University Press, UK, 2012)
J.M. De Teresa, Nanofabrication: Nanolithography techniques and their applications (IOP Publishing Ltd, USA, 2020)
R. Winkler, J.D. Fowlkes, P.D. Rack, H. Plank, J. Appl. Phys. 125, 210901 (2019). https://doi.org/10.1063/1.5092372
M. Huth, F. Porrati, S. Barth, J. Appl. Phys. 130, 170901 (2021). https://doi.org/10.1063/5.0064764
H. Plank, R. Winkler, C.H. Schwalb, J. Hütner, J.D. Fowlkes, P.D. Rack, I. Utke, M. Huth, Micromachines 11, 48 (2020). https://doi.org/10.3390/mi11010048
G.B. Sushko, I.A. Solov’yov, A.V. Solov’yov, Eur. Phys. J. D 70, 217 (2016). https://doi.org/10.1140/epjd/e2016-70283-5
I.A. Solov’yov, A.V. Korol, A.V. Solov’yov, Multiscale modeling of complex molecular structure and dynamics with MBN Explorer (Springer International Publishing, Cham, Switzerland, 2017). https://doi.org/10.1007/978-3-319-56087-8
P. de Vera, M. Azzolini, G. Sushko, I. Abril, R. Garcia-Molina, M. Dapor, I.A. Solov’yov, A.V. Solov’yov, Sci. Rep. 10, 20827 (2020). https://doi.org/10.1038/s41598-020-77120-z
G.B. Sushko, I.A. Solov’yov, A.V. Verkhovtsev, S.N. Volkov, A.V. Solov’yov, Eur. Phys. J. D 70, 12 (2016). https://doi.org/10.1140/epjd/e2015-60424-9
L.D. Landau, E.M. Lifshitz, Quantum mechanics (Non-relativistic Theory) (Elsevier Butterworth-Heinemann, UK, 1977)
I.A. Solov’yov, A.V. Yakubovich, P.V. Nikolaev, I. Volkovets, A.V. Solov’yov, J. Comput. Chem. 33, 2412 (2012). https://doi.org/10.1002/jcc.23086
G.B. Sushko, I.A. Solov’yov, A.V. Solov’yov, J. Mol. Graph. Model. 88, 247 (2019). https://doi.org/10.1016/j.jmgm.2019.02.003
A. Prosvetov, A.V. Verkhovtsev, G. Sushko, A.V. Solov’yov, Beilstein J. Nanotechnol. 12, 1151 (2021). https://doi.org/10.3762/bjnano.12.86
A. Prosvetov, A.V. Verkhovtsev, G. Sushko, A.V. Solov’yov, Phys. Chem. Chem. Phys. 24, 10807 (2022). https://doi.org/10.1039/D2CP00809B
J.J. Mulders, L.M. Belova, A. Riazanova, Nanotechnology 22, 055302 (2011). https://doi.org/10.1088/0957-4484/22/5/055302
S.G. Rosenberg, K. Landheer, C.W. Hagen, D.H. Fairbrother, J. Vac. Sci. Technol. B 30, 051805 (2012). https://doi.org/10.1116/1.4751281
J.M. De Teresa, P. Orús, R. Córdoba, P. Philipp, Micromachines 10, 799 (2019). https://doi.org/10.3390/mi10120799
M. Huth, F. Porrati, P. Gruszka, S. Barth, Micromachines 11, 28 (2020). https://doi.org/10.3390/mi11010028
M. Toth, C. Lobo, V. Friedli, A. Szkudlarek, I. Utke, Beilstein J. Nanotechnol. 6, 1518 (2015). https://doi.org/10.3762/bjnano.6.157
I. Utke, P. Hoffmann, J. Melngailis, J. Vac. Sci. Technol. B 26, 1197 (2008). https://doi.org/10.1116/1.2955728
S. Barth, M. Huth, F. Jungwirth, J. Mater. Chem. C 8, 15884 (2020). https://doi.org/10.1039/D0TC03689G
I. Utke, P. Swiderek, K. Höflich, K. Madajska, J. Jurczyk, P. Martinović, I.B. Szymańska, Coord. Chem. Rev. 458, 213851 (2022). https://doi.org/10.1016/j.ccr.2021.213851
B. Ómarsson, S. Engmann, O. Ingólfsson, RSC Adv. 4, 33222 (2014). https://doi.org/10.1039/c4ra04451g
J. Warneke, W.F. Van Dorp, P. Rudolf, M. Stano, P. Papp, Š Matejčík, T. Borrmann, P. Swiderek, Phys. Chem. Chem. Phys. 17, 1204 (2015). https://doi.org/10.1039/c4cp04239e
J. Kopyra, F. Rabilloud, H. Abdoul-Carime, Phys. Chem. Chem. Phys. 20, 7746 (2018). https://doi.org/10.1039/c7cp08149a
J. Kopyra, F. Rabilloud, and H. Abdoul-Carime, J. Phys. Chem. A 124, 2186 (2020). https://doi.org/10.1021/acs.jpca.9b10119
J. Kopyra, F. Rabilloud, H. Abdoul-Carime, Inorg. Chem. 59, 12788 (2020). https://doi.org/10.1021/acs.inorgchem.0c01842
J.D. Wnuk, J.M. Gorham, S.G. Rosenberg, W.F. Van Dorp, T.E. Madey, C.W. Hagen, D.H. Fairbrother, J. Appl. Phys. 107, 054301 (2010). https://doi.org/10.1063/1.3295918
S. Graells, R. Alcubilla, G. Badenes, R. Quidant, Appl. Phys. Lett. 91, 121112 (2007). https://doi.org/10.1063/1.2786600
D. Kuhness, A. Gruber, R. Winkler, J. Sattelkow, H. Fitzek, I. Letofsky-Papst, G. Kothleitner, H. Plank, A.C.S. Appl, Mater. Interfaces 13, 1178 (2021). https://doi.org/10.1021/acsami.0c17030
A. Botman, J.J.L. Mulders, C.V. Hagen, Nanotechnology 20, 372001 (2009). https://doi.org/10.1088/0957-4484/20/37/372001
M.V. Puydinger dos Santos, A. Szkudlarek, A. Rydosz, C. Guerra-Nuñez, F. Béron, K.R. Pirota, S. Moshkalev, J.A. Diniz, I. Utke, Beilstein J. Nanotechnol. 9, 91 (2018). https://doi.org/10.3762/bjnano.9.11
M.M. Shawrav, P. Taus, H.D. Wanzenboeck, M. Schinnerl, M. Stöger-Pollach, S. Schwarz, A. Steiger-Thirsfeld, E. Bertagnolli, Sci. Rep. 6, 34003 (2016). https://doi.org/10.1038/srep34003
C. Mansilla, S. Mehendale, J.J. Mulders, P.H. Trompenaars, Nanotechnology 27, 415301 (2016). https://doi.org/10.1088/0957-4484/27/41/415301
H.W.P. Koops, J. Vac. Sci. Technol. B 14, 4105 (1996). https://doi.org/10.1116/1.588600
A. Botman, J.J.L. Mulders, R. Weemaes, S. Mentink, Nanotechnology 17, 3779 (2006). https://doi.org/10.1088/0957-4484/17/15/028
P. de Vera, A. Verkhovtsev, G. Sushko, A.V. Solov’yov, Eur. Phys. J. D 73, 215 (2019). https://doi.org/10.1140/epjd/e2019-100232-9
A.V. Verkhovtsev, I.A. Solov’yov, A.V. Solov’yov, Eur. Phys. J. D 75, 213 (2021). https://doi.org/10.1140/epjd/s10053-021-00223-3
I.A. Solov’yov, A.V. Verkhovtsev, A.V. Korol, A.V. Solov’yov, Dynamics of Systems on the Nanoscale (Springer International Publishing, Cham, Switzerland, 2022). https://doi.org/10.1007/978-3-030-99291-0
M. J. Frisch et al., (2016) Gaussian 09, Revision E.01. Gaussian Inc., Wallingford, CT
E. Pohjolainen, X. Chen, S. Malola, G. Groenhof, H. Häkkinen, J. Chem. Theory Comput. 12, 1342 (2016). https://doi.org/10.1021/acs.jctc.5b01053
V. Zoete, M.A. Cuendet, A. Grosdidier, O. Michielin, J. Comput. Chem. 32, 2359 (2011). https://doi.org/10.1002/jcc.21816
S.L. Mayo, B.D. Olafson, W.A. Goddard, J. Phys. Chem. 94, 8897 (1990). https://doi.org/10.1021/j100389a010
R. Gupta, Phys. Rev. B 23, 6265 (1983). https://doi.org/10.1103/PhysRevB.23.6265
F. Cleri, V. Rosato, Phys. Rev. B 48, 22 (1993). https://doi.org/10.1103/PhysRevB.48.22
L. Landau, E. Lifshitz, Statistical Physics (Butterworth-Heinemann, Oxford, 1980), pp.111–157. https://doi.org/10.1016/B978-0-08-057046-4.50011-7
I. Mills, T. Cvitas, K. Homann, N. Kallay, K. Kuchitsu, Quantities, Units and Symbols in Physical Chemistry (Wiley-Blackwell, New York, 1993). https://doi.org/10.1016/B978-0-08-057046-4.50011-7
K.A. Fichthorn, R.A. Miron, Phys. Rev. Lett. 89, 196103 (2002). https://doi.org/10.1103/PhysRevLett.89.196103
J. Cullen, A. Bahm, C.J. Lobo, M.J. Ford, M. Toth, J. Phys. Chem. C 119, 15948 (2015). https://doi.org/10.1021/acs.jpcc.5b00918
T. Ohta, F. Cicoira, P. Doppelt, L. Beitone, P. Hoffmann, Chem. Vap. Depos. 7, 33 (2001). https://doi.org/10.1002/1521-3862(200101)7:1<33::AID-CVDE33>3.0.CO;2-Y
K. Wnorowski, M. Stano, W. Barszczewska, A. Jówko, S. Matejčík, Int. J. Mass Spectrom. 314, 42 (2012). https://doi.org/10.1016/j.ijms.2012.02.002
S. Engmann, M. Stano, P. Papp, M.J. Brunger, S.Š Matejčík, O. Ingólfsson, J. Chem. Phys. 138, 044305 (2013). https://doi.org/10.1063/1.4776756
R.M. Thorman, T.P. Ragesh Kumar, D.H. Fairbrother, O. Ingólfsson, Beilstein J. Nanotechnol. 6, 1904 (2015). https://doi.org/10.3762/bjnano.6.194
H. Deutsch, T. Märk, V. Tarnovsky, K. Becker, C. Cornelissen, L. Cespiva, V. Bonacic-Koutecky, Int. J. Mass Spectrom. Ion Proc. 137, 77 (1994). https://doi.org/10.1016/0168-1176(94)04053-2
D. Gupta, B. Antony, J. Chem. Phys. 141, 054303 (2014). https://doi.org/10.1063/1.4891472
J.N. Bull, P.W. Harland, C. Vallance, J. Phys. Chem. A 116, 767 (2012). https://doi.org/10.1021/jp210294p
V.S. Prabhudesai, V. Tadsare, S. Ghosh, K. Gope, D. Davis, E. Krishnakumar, J. Chem. Phys. 141, 164320 (2014). https://doi.org/10.1063/1.4898144
A.N. Nelson, Electron impact ionization cross sections of gold, chromium and iron (Massachusetts Inst. of Tech, Report, 1976)
W. Hwang, Y.K. Kim, M.E. Rudd, J. Chem. Phys. 104, 2956 (1996). https://doi.org/10.1063/1.471116
M. Bart, P.W. Harland, J.E. Hudson, C. Vallance, Phys. Chem. Chem. Phys. 3, 800 (2001). https://doi.org/10.1039/B009243F
J.R. Vacher, F. Jorand, N. Blin-Simiand, S. Pasquiers, Int. J. Mass Spectrom. 273, 117 (2008). https://doi.org/10.1016/j.ijms.2008.03.011
I.A. Solov’yov, G. Sushko, A.V. Solov’yov, MBN Explorer Users’ Guide. Version 3.0 (MesoBioNano Science Publishing, Frankfurt a. M, 2017)
A.V. Riazanova, Y.G.M. Rikers, J.J.L. Mulders, L.M. Belova, Langmuir 28, 6185 (2012). https://doi.org/10.1021/la203599c
J. J. L. Mulders and A. Botman (2011) Proc. 2010 Beilstein Inst. Nanosci. Symp. , 179 (2011)
Acknowledgements
The authors acknowledge financial support from the Deutsche Forschungsgemeinschaft (Project no. 415716638), and the European Union’s Horizon 2020 research and innovation programme-the RADON project (GA 872494) within the H2020-MSCA-RISE-2019 call. This article is also based upon work from the COST Action CA20129 MultIChem, supported by COST (European Cooperation in Science and Technology). The possibility of performing computer simulations at the Goethe-HLR cluster of the Frankfurt Center for Scientific Computing is gratefully acknowledged.
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Conceptualization and methodology were performed by AVS, AVV, AP; investigation, data curation, formal analysis by AP, AVV; software by GS; writing—original draft—by AP, AVV; writing—review & editing—by AVS, AVV, AP; supervision by AVS.
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Prosvetov, A., Verkhovtsev, A.V., Sushko, G. et al. Atomistic modeling of thermal effects in focused electron beam-induced deposition of Me\(_2\)Au(tfac). Eur. Phys. J. D 77, 15 (2023). https://doi.org/10.1140/epjd/s10053-023-00598-5
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DOI: https://doi.org/10.1140/epjd/s10053-023-00598-5