Citation: | Guo Xun, Fu Yanjun, Zhang Xitong, Wang Xinwei, Chen Yan, Xue Jianming. A semi-classical model for the charge exchange and energy loss of slow highly charged ions in ultrathin materials[J]. Matter and Radiation at Extremes, 2019, 4(5): 054401. doi: 10.1063/1.5110931 |
[1] |
C. A. Amadei and C. D. Vecitis, “How to increase the signal-to-noise ratio of graphene oxide membrane research,” J. Phys. Chem. Lett. 7, 3791–3797 (2016).10.1021/acs.jpclett.6b01829 doi: 10.1021/acs.jpclett.6b01829
|
[2] |
J. Schrier, “Helium separation using porous graphene membranes,” J. Phys. Chem. Lett. 1, 2284–2287 (2010).10.1021/jz100748x doi: 10.1021/jz100748x
|
[3] |
D. W. Boukhvalov and M. I. Katsnelson, “Chemical functionalization of graphene with defects,” Nano Lett. 8, 4374–4379 (2008).10.1021/nl802234n doi: 10.1021/nl802234n
|
[4] |
E. H. Åhlgren, J. Kotakoski, and A. V. Krasheninnikov, “Atomistic simulations of the implantation of low-energy boron and nitrogen ions into graphene,” Phys. Rev. B 83, 115424-1–115424-7 (2011).10.1103/physrevb.83.115424 doi: 10.1103/physrevb.83.115424
|
[5] |
W. Li, X. Wang, X. Zhang, S. Zhao, H. Duan, and J. Xue, “Mechanism of the defect formation in supported graphene by energetic heavy ion irradiation: The substrate effect,” Sci. Rep. 5, 9935-1–9935-6 (2015).10.1038/srep09935 doi: 10.1038/srep09935
|
[6] |
A. W. Hauser and P. Schwerdtfeger, “Nanoporous graphene membranes for efficient 3He/4He separation,” J. Phys. Chem. Lett. 3, 209–213 (2012).10.1021/jz201504k doi: 10.1021/jz201504k
|
[7] |
L. Huang, M. Zhang, C. Li, and G. Shi, “Graphene-based membranes for molecular separation,” J. Phys. Chem. Lett. 6, 2806–2815 (2015).10.1021/acs.jpclett.5b00914 doi: 10.1021/acs.jpclett.5b00914
|
[8] |
R. Heller, S. Facsko, R. A. Wilhelm, and W. Möller, “Defect mediated desorption of the KBr(001) surface induced by single highly charged ion impact,” Phys. Rev. Lett. 101, 096102-1–096102-4 (2008).10.1103/physrevlett.101.096102 doi: 10.1103/physrevlett.101.096102
|
[9] |
F. Aumayr, A. S. El-Said, and W. Meissl, “Nano-sized surface modifications induced by the impact of slow highly charged ions—A first review,” Nucl. Instrum. Methods Phys. Res., Sect. B 266, 2729–2735 (2008).10.1016/j.nimb.2008.03.106 doi: 10.1016/j.nimb.2008.03.106
|
[10] |
F. Aumayr, S. Facsko, A. S. El-Said, C. Trautmann, and M. Schleberger, “Single ion induced surface nanostructures: A comparison between slow highly charged and swift heavy ions,” J. Phys.: Condens. Matter 23, 393001-1–393001-23 (2011).10.1088/0953-8984/23/39/393001 doi: 10.1088/0953-8984/23/39/393001
|
[11] |
A. Turchanin, A. Beyer, C. T. Nottbohm, X. Zhang, R. Stosch, A. Sologubenko, J. Mayer, P. Hinze, T. Weimann, and A. Gölzhäuser, “One nanometer thin carbon nanosheets with tunable conductivity and stiffness,” Adv. Mater. 21, 1233–1237 (2009).10.1002/adma.200803078 doi: 10.1002/adma.200803078
|
[12] |
A. Turchanin and A. Gölzhäuser, “Carbon nanomembranes from self-assembled monolayers: Functional surfaces without bulk,” Prog. Surf. Sci. 87, 108–162 (2012).10.1016/j.progsurf.2012.05.001 doi: 10.1016/j.progsurf.2012.05.001
|
[13] |
U. Bangert, W. Pierce, D. M. Kepaptsoglou, Q. Ramasse, R. Zan, M. H. Gass, J. A. Van den Berg, C. B. Boothroyd, J. Amani, and H. Hofsäss, “Ion implantation of graphene-toward ic compatible technologies,” Nano Lett. 13, 4902–4907 (2013).10.1021/nl402812y doi: 10.1021/nl402812y
|
[14] |
C. P. Race, D. R. Mason, M. W. Finnis, W. M. C. Foulkes, A. P. Horsfield, and A. P. Sutton, “The treatment of electronic excitations in atomistic models of radiation damage in metals,” Rep. Prog. Phys. 73, 116501-1–116501-40 (2010).10.1088/0034-4885/73/11/116501 doi: 10.1088/0034-4885/73/11/116501
|
[15] |
A. K. Geim, “Graphene: Status and prospects,” Science 324, 1530–1534 (2009).10.1126/science.1158877 doi: 10.1126/science.1158877
|
[16] |
B. Guo, Q. Liu, E. Chen, H. Zhu, L. Fang, and J. R. Gong, “Controllable n-doping of graphene,” Nano Lett. 10, 4975–4980 (2010).10.1021/nl103079j doi: 10.1021/nl103079j
|
[17] |
D. Kost, S. Facsko, W. Möller, R. Hellhammer, and N. Stolterfoht, “Channels of potential energy dissipation during multiply charged argon-ion bombardment of copper,” Phys. Rev. Lett. 98, 225503-1–225503-4 (2007).10.1103/physrevlett.98.225503 doi: 10.1103/physrevlett.98.225503
|
[18] |
F. Aumayr and H. Winter, “Slow highly charged ions -a new tool for surface nanostructuring,” e-J. Surf. Sci. Nanotech. 1, 171–174 (2003).10.1380/ejssnt.2003.171 doi: 10.1380/ejssnt.2003.171
|
[19] |
R. A. Wilhelm, A. S. El-Said, F. Krok, R. Heller, E. Gruber, F. Aumayr, and S. Facsko, “Highly charged ion induced nanostructures at surfaces by strong electronic excitations,” Prog. Surf. Sci. 90, 377–395 (2015).10.1016/j.progsurf.2015.06.001 doi: 10.1016/j.progsurf.2015.06.001
|
[20] |
A. S. El-Said, R. Heller, W. Meissl, R. Ritter, S. Facsko, C. Lemell, B. Solleder, I. C. Gebeshuber, G. Betz, M. Toulemonde, W. Möller, J. Burgdörfer, and F. Aumayr, “Creation of nanohillocks on CaF2 surfaces by single slow highly charged ions,” Phys. Rev. Lett. 100, 237601-1–237601-4 (2008).10.1103/physrevlett.100.237601 doi: 10.1103/physrevlett.100.237601
|
[21] |
W. Brandt and M. Kitagawa, “Effective stopping-power charges of swift ions in condensed matter,” Phys. Rev. B 25, 5631–5637 (1982).10.1103/physrevb.25.5631 doi: 10.1103/physrevb.25.5631
|
[22] |
T. Schenkel, M. A. Briere, A. V. Barnes, A. V. Hamza, K. Bethge, H. Schmidt-Böcking, and D. H. Schneider, “Charge state dependent energy loss of slow heavy ions in solids,” Phys. Rev. Lett. 79, 2030–2033 (1997).10.1103/physrevlett.79.2030 doi: 10.1103/physrevlett.79.2030
|
[23] |
R. A. Wilhelm, E. Gruber, R. Ritter, R. Heller, S. Facsko, and F. Aumayr, “Charge exchange and energy loss of slow highly charged ions in 1 nm thick carbon nanomembranes,” Phys. Rev. Lett. 112, 153201-1–153201-5 (2014).10.1103/physrevlett.112.153201 doi: 10.1103/physrevlett.112.153201
|
[24] |
R. A. Wilhelm, E. Gruber, V. Smejkal, S. Facsko, and F. Aumayr, “Charge-state-dependent energy loss of slow ions. I. Experimental results on the transmission of highly charged ions,” Phys. Rev. A 93, 052708-1–052708-4 (2016).10.1103/physreva.93.052708 doi: 10.1103/physreva.93.052708
|
[25] |
E. Gruber, R. A. Wilhelm, R. Pétuya, V. Smejkal, R. Kozubek, A. Hierzenberger, B. C. Bayer, I. Aldazabal, A. K. Kazansky, F. Libisch, A. V. Krasheninnikov, M. Schleberger, S. Facsko, A. G. Borisov, A. Arnau, and F. Aumayr, “Ultrafast electronic response of graphene to a strong and localized electric field,” Nat. Commun. 7, 13948-1–13948-7 (2016).10.1038/ncomms13948 doi: 10.1038/ncomms13948
|
[26] |
G. Schiwietz and P. L. Grande, “Introducing electron capture into the unitary-convolution-approximation energy-loss theory at low velocities,” Phys. Rev. A 84, 052703-1–052703-7 (2011).10.1103/physreva.84.052703 doi: 10.1103/physreva.84.052703
|
[27] |
J. Lindhard, “On the properties of a gas of charged particles,” Dan. Vid. Selsk Mat.-Fys. Medd. 28(8), 41–43 (1954), available at http://gymarkiv.sdu.dk/MFM/kdvs/mfm%2020-29/mfm-28-8.pdf.
|
[28] |
F. Sattin, “A semiclassical over-barrier model for charge exchange between highly charged ions and one-optical-electron atoms,” J. Phys. B: At., Mol. Opt. Phys. 33, 861–867 (2000).10.1088/0953-4075/33/5/302 doi: 10.1088/0953-4075/33/5/302
|
[29] |
F. Sattin, “Classical overbarrier model to compute charge exchange and ionization between ions and one-optical-electron atoms,” Phys. Rev. A 62, 042711-1–042711-10 (2000).10.1103/physreva.62.042711 doi: 10.1103/physreva.62.042711
|
[30] |
F. Sattin, “Further study of the over-barrier model to compute charge-exchange processes,” Phys. Rev. A 64, 034704-1–034704-4 (2001).10.1103/physreva.64.034704 doi: 10.1103/physreva.64.034704
|
[31] |
T. Ohyama-Yamaguchi and A. Ichimura, “A three-center over-barrier model with screening for multiple ionization of rare gas dimers by slow highly charged ions,” Phys. Scr. T144, 014028-1–014028-3 (2011).10.1088/0031-8949/2011/t144/014028 doi: 10.1088/0031-8949/2011/t144/014028
|
[32] |
V. N. Ostrovsky, “Rydberg atom-ion collisions: Classical overbarrier model for charge exchange,” J. Phys. B: At., Mol. Opt. Phys. 28, 3901–3914 (1995).10.1088/0953-4075/28/17/025 doi: 10.1088/0953-4075/28/17/025
|
[33] |
A. Niehaus, “A classical model for multiple-electron capture in slow collisions of highly charged ions with atoms,” J. Phys. B: At., Mol. Opt. Phys. 19, 2925–2937 (1986).10.1088/0022-3700/19/18/021 doi: 10.1088/0022-3700/19/18/021
|
[34] |
J. Lindhard and M. Scharff, “Energy dissipation by ions in the kev region,” Phys. Rev. 124, 128–130 (1961).10.1103/physrev.124.128 doi: 10.1103/physrev.124.128
|
[35] |
W. Kohn and L. J. Sham, “Self-consisten equations including exchange and correlation effects,” Phys. Rev. 140, A1133–A1138 (1965).10.1103/physrev.140.a1133 doi: 10.1103/physrev.140.a1133
|
[36] |
A. K. Rajagopal and J. Callaway, “Inhomogeneous electron gas,” Phys. Rev. B 7, 1912–1919 (1973).10.1103/physrevb.7.1912 doi: 10.1103/physrevb.7.1912
|
[37] |
R. Ritter, R. A. Wilhelm, M. Stögerpollach, R. Heller, A. Mücklich, U. Werner, H. Vieker, A. Beyer, S. Facsko, and A. Gölzhäuser, “Fabrication of nanopores in 1 nm thick carbon nanomembranes with slow highly charged ions,” Appl. Phys. Lett. 102, 770–776 (2013).10.1063/1.4792511 doi: 10.1063/1.4792511
|