Abstract
Modern X-ray free-electron lasers (FELs) provide pulses with photon energies from a few tens of eV up to the tens of keV and durations as short as only a few femtoseconds. Experimental pump–probe scheme with a FEL pump and a visible light probe of a solid-state target can be used for the pulse-duration monitor on a shot-to-shot basis. To study the electron cascading in different materials used for pulse-duration monitor, XCASCADE, a Monte Carlo model of the X-ray-induced electron cascading within an irradiated target is developed. It is shown here that the electron cascade duration is sensitive to a choice of material. An appropriately selected target can significantly shorten the electron relaxation times. The grounds, upon which such a choice of the material can be made, are discussed. The results suggest that for photon energies of 24 keV, one could achieve direct monitoring of the pulse duration of 40 fs. Further deconvolution of the electron density into the contribution from the pulse itself and from the secondary cascading can increase the resolution up to a scale of a femtosecond.
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Notes
N. Medvedev and B. Ziaja. XCASCADE, a Monte Carlo tool for modeling ultrafast electron cascading in solids after X-ray irradiation. DESY, Hamburg, 2014.
According to the LCLS official website, https://portal.slac.stanford.edu.
Note also that the same procedure can be involved for analysis of already existing or new experimental data.
References
W. Ackermann, G. Asova, V. Ayvazyan, A. Azima, N. Baboi, J. Bähr, V. Balandin, B. Beutner, A. Brandt, A. Bolzmann, R. Brinkmann, O.I. Brovko, M. Castellano, P. Castro, L. Catani, E. Chiadroni, S. Choroba, A. Cianchi, J.T. Costello, D. Cubaynes, J. Dardis, W. Decking, H. Delsim-Hashemi, A. Delserieys, G. Di Pirro, M. Dohlus, S. Düsterer, A. Eckhardt, H.T. Edwards, B. Faatz, J. Feldhaus, K. Flöttmann, J. Frisch, L. Fröhlich, T. Garvey, U. Gensch, C. Gerth, M. Görler, N. Golubeva, H.-J. Grabosch, M. Grecki, O. Grimm, K. Hacker, U. Hahn, J.H. Han, K. Honkavaara, T. Hott, M. Hüning, Y. Ivanisenko, E. Jaeschke, W. Jalmuzna, T. Jezynski, R. Kammering, V. Katalev, K. Kavanagh, E.T. Kennedy, S. Khodyachykh, K. Klose, V. Kocharyan, M. Körfer, M. Kollewe, W. Koprek, S. Korepanov, D. Kostin, M. Krassilnikov, G. Kube, M. Kuhlmann, C.L.S. Lewis, L. Lilje, T. Limberg, D. Lipka, F. Löhl, H. Luna, M. Luong, M. Martins, M. Meyer, P. Michelato, V. Miltchev, W.D. Möller, L. Monaco, W.F.O. Müller, O. Napieralski, O. Napoly, P. Nicolosi, D. Nölle, T. Nuñez, A. Oppelt, C. Pagani, R. Paparella, N. Pchalek, J. Pedregosa-Gutierrez, B. Petersen, B. Petrosyan, G. Petrosyan, L. Petrosyan, J. Pflüger, E. Plönjes, L. Poletto, K. Pozniak, E. Prat, D. Proch, P. Pucyk, P. Radcliffe, H. Redlin, K. Rehlich, M. Richter, M. Roehrs, J. Roensch, R. Romaniuk, M. Ross, J. Rossbach, V. Rybnikov, M. Sachwitz, E.L. Saldin, W. Sandner, H. Schlarb, B. Schmidt, M. Schmitz, P. Schmüser, J.R. Schneider, E.A. Schneidmiller, S. Schnepp, S. Schreiber, M. Seidel, D. Sertore, A.V. Shabunov, C. Simon, S. Simrock, E. Sombrowski, A.A. Sorokin, P. Spanknebel, R. Spesyvtsev, L. Staykov, B. Steffen, F. Stephan, F. Stulle, H. Thom, K. Tiedtke, M. Tischer, S. Toleikis, R. Treusch, D. Trines, I. Tsakov, E. Vogel, T. Weiland, H. Weise, M. Wellhöfer, M. Wendt, I. Will, A. Winter, K. Wittenburg, W. Wurth, P. Yeates, M.V. Yurkov, I. Zagorodnov, K. Zapfe, Operation of a free-electron laser from the extreme ultraviolet to the water window. Nat. Photonics 1(6), 336–342 (2007)
P. Emma, R. Akre, J. Arthur, R. Bionta, C. Bostedt, J. Bozek, A. Brachmann, P. Bucksbaum, R. Coffee, F.-J. Decker, Y. Ding, D. Dowell, S. Edstrom, A. Fisher, J. Frisch, S. Gilevich, J. Hastings, G. Hays, P. Hering, Z. Huang, R. Iverson, H. Loos, M. Messerschmidt, A. Miahnahri, S. Moeller, H.-D. Nuhn, G. Pile, D. Ratner, J. Rzepiela, D. Schultz, T. Smith, P. Stefan, H. Tompkins, J. Turner, J. Welch, W. White, J. Wu, G. Yocky, J. Galayda, First lasing and operation of an ångstrom-wavelength free-electron laser. Nat. Photonics 4(9), 641–647 (2010)
D. Pile, X-rays: first light from SACLA. Nat. Photonics 5(8), 456–457 (2011)
E. Allaria, R. Appio, L. Badano, W.A. Barletta, S. Bassanese, S.G. Biedron, A. Borga, E. Busetto, D. Castronovo, P. Cinquegrana, S. Cleva, D. Cocco, M. Cornacchia, P. Craievich, I. Cudin, G. D’Auria, M. Dal Forno, M.B. Danailov, R. De Monte, G. De Ninno, P. Delgiusto, A. Demidovich, S. Di Mitri, B. Diviacco, A. Fabris, R. Fabris, W. Fawley, M. Ferianis, E. Ferrari, S. Ferry, L. Froehlich, P. Furlan, G. Gaio, F. Gelmetti, L. Giannessi, M. Giannini, R. Gobessi, R. Ivanov, E. Karantzoulis, M. Lonza, A. Lutman, B. Mahieu, M. Milloch, S.V. Milton, M. Musardo, I. Nikolov, S. Noe, F. Parmigiani, G. Penco, M. Petronio, L. Pivetta, M. Predonzani, F. Rossi, L. Rumiz, A. Salom, C. Scafuri, C. Serpico, P. Sigalotti, S. Spampinati, C. Spezzani, M. Svandrlik, C. Svetina, S. Tazzari, M. Trovo, R. Umer, A. Vascotto, M. Veronese, R. Visintini, M. Zaccaria, D. Zangrando, M. Zangrando, Highly coherent and stable pulses from the FERMI seeded free-electron laser in the extreme ultraviolet. Nat. Photonics 6(10), 699–704 (2012)
M. Altarelli, R. Brinkmann, M. Chergui, W. Decking, B. Dobson, S. Düsterer, G. Grübel, W. Graeff, H. Graafsma, J. Hajdu, J. Marangos, J. Pflüger, H. Redlin, D. Riley, I. Robinson, J. Rossbach, A. Schwarz, K. Tiedtke, T. Tschentscher, I. Vartaniants, H. Wabnitz, H. Weise, R. Wichmann, K. Witte, A. Wolf, M. Wulff (eds.) The European X-Ray Free-Electron Laser Technical Design Report. Number July. DESY XFEL Project Group European XFEL Project Team Deutsches Elektronen-Synchrotron Member of the Helmholtz Association, Hamburg, Germany (2007)
B. Rudek, S.-K. Son, L. Foucar, S.W. Epp, B. Erk, R. Hartmann, M. Adolph, R. Andritschke, A. Aquila, N. Berrah, C. Bostedt, J. Bozek, N. Coppola, F. Filsinger, H. Gorke, T. Gorkhover, H. Graafsma, L. Gumprecht, A. Hartmann, G. Hauser, S. Herrmann, H. Hirsemann, P. Holl, A. Hömke, L. Journel, C. Kaiser, N. Kimmel, F. Krasniqi, K.-U. Kühnel, M. Matysek, M. Messerschmidt, D. Miesner, T. Möller, R. Moshammer, K. Nagaya, B. Nilsson, G. Potdevin, D. Pietschner, C. Reich, D. Rupp, G. Schaller, I. Schlichting, C. Schmidt, F. Schopper, S. Schorb, C.-D. Schröter, J. Schulz, M. Simon, H. Soltau, L. Strüder, K. Ueda, G. Weidenspointner, R. Santra, J. Ullrich, A. Rudenko, D. Rolles, Ultra-efficient ionization of heavy atoms by intense X-ray free-electron laser pulses. Nat. Photonics 6(12), 858–865 (2012)
J. Wark, Atomic physics: X-ray laser peels and cores atoms. Nature 466(7302), 35–6 (2010)
N. Berrah, L. Fang, B. Murphy, T. Osipov, K. Ueda, E. Kukk, R. Feifel, P. van der Meulen, P. Salen, H.T. Schmidt, R.D. Thomas, M. Larsson, R. Richter, K.C. Prince, J.D. Bozek, C. Bostedt, S. Wada, M.N. Piancastelli, M. Tashiro, M. Ehara, Double-core–hole spectroscopy for chemical analysis with an intense X-ray femtosecond laser. Proc. Natl. Acad. Sci. USA 108(41), 16912–16915 (2011)
J. Ullrich, A. Rudenko, R. Moshammer, Free-electron lasers: new avenues in molecular physics and photochemistry. Annu. Rev. Phys. Chem. 63, 635–660 (2012)
B. Ziaja, H. Wabnitz, F. Wang, E. Weckert, T. Möller, Energetics, ionization, and expansion dynamics of atomic clusters irradiated with short intense vacuum-ultraviolet pulses. Phys. Rev. Lett. 102(20), 205002 (2009)
B. Ziaja, H.N. Chapman, R. Fäustlin, S. Hau-Riege, Z. Jurek, A.V. Martin, S. Toleikis, F. Wang, E. Weckert, R. Santra, Limitations of coherent diffractive imaging of single objects due to their damage by intense X-ray radiation. New J. Phys. 14(11), 115015 (2012)
N. Medvedev, U. Zastrau, E. Förster, D.O. Gericke, B. Rethfeld, Short-time electron dynamics in aluminum excited by femtosecond extreme ultraviolet radiation. Phys. Rev. Lett. 107(16), 165003 (2011)
L. Müller, C. Gutt, B. Pfau, S. Schaffert, J. Geilhufe, F. Büttner, J. Mohanty, S. Flewett, R. Treusch, S. Düsterer, H. Redlin, Al-Shemmary, M. Hille, Kobs, R. Frömter, H.P. Oepen, B. Ziaja, N. Medvedev, S.-K. Son, R. Thiele, R. Santra, B. Vodungbo, J. Lüning, S. Eisebitt, G. Grübel, Breakdown of the X-ray resonant magnetic scattering signal during intense pulses of extreme ultraviolet free-electron-laser radiation. Phys. Rev. Lett. 110(23), 234801 (2013)
M. Beye, F. Sorgenfrei, W.F. Schlotter, W. Wurth, A. Föhlisch, The liquid–liquid phase transition in silicon revealed by snapshots of valence electrons. Proc. Natl. Acad. Sci. USA 107(39), 16772–16776 (2010)
S.M. Vinko, O. Ciricosta, B.I. Cho, K. Engelhorn, H.-K. Chung, C.R.D. Brown, T. Burian, J. Chalupský, R.W. Falcone, C. Graves, V. Hájková, A. Higginbotham, L. Juha, J. Krzywinski, H.J. Lee, M. Messerschmidt, C.D. Murphy, Y. Ping, A. Scherz, W. Schlotter, S. Toleikis, J.J. Turner, L. Vysin, T. Wang, B. Wu, U. Zastrau, D. Zhu, R.W. Lee, P.A. Heimann, B. Nagler, J.S. Wark, Creation and diagnosis of a solid-density plasma with an X-ray free-electron laser. Nature 482(7383), 59–62 (2012)
B. Nagler, U. Zastrau, R.R. Fäustlin, S.M. Vinko, T. Whitcher, A.J. Nelson, R. Sobierajski, J. Krzywinski, J. Chalupsky, E. Abreu, S. Bajt, T. Bornath, T. Burian, H. Chapman, J. Cihelka, T. Döppner, S. Düsterer, T. Dzelzainis, M. Fajardo, E. Förster, C. Fortmann, E. Galtier, S.H. Glenzer, S. Göde, G. Gregori, V. Hajkova, P. Heimann, L. Juha, M. Jurek, F.Y. Khattak, A.R. Khorsand, D. Klinger, M. Kozlova, T. Laarmann, H.J. Lee, R.W. Lee, K.-H. Meiwes-Broer, P. Mercere, W.J. Murphy, A. Przystawik, R. Redmer, H. Reinholz, D. Riley, G. Röpke, F. Rosmej, K. Saksl, R. Schott, R. Thiele, J. Tiggesbäumker, S. Toleikis, T. Tschentscher, I. Uschmann, H.J. Vollmer, J.S. Wark, Turning solid aluminium transparent by intense soft X-ray photoionization. Nat. Phys. 5(9), 693–696 (2009)
S.M. Vinko, U. Zastrau, S. Mazevet, J. Andreasson, S. Bajt, T. Burian, J. Chalupsky, H.N. Chapman, J. Cihelka, D. Doria, T. Döppner, S. Düsterer, T. Dzelzainis, R.R. Fäustlin, C. Fortmann, E. Förster, E. Galtier, S.H. Glenzer, S. Göde, G. Gregori, J. Hajdu, V. Hajkova, P.A. Heimann, R. Irsig, L. Juha, M. Jurek, J. Krzywinski, T. Laarmann, H.J. Lee, R.W. Lee, B. Li, K.-H. Meiwes-Broer, J.P. Mithen, B. Nagler, A.J. Nelson, A. Przystawik, R. Redmer, D. Riley, F. Rosmej, R. Sobierajski, F. Tavella, R. Thiele, J. Tiggesbäumker, S. Toleikis, T. Tschentscher, L. Vysin, T.J. Whitcher, S. White, J.S. Wark, Electronic structure of an XUV photogenerated solid-density aluminum plasma. Phys. Rev. Lett. 104(22), 225001 (2010)
O. Renner, P. Sauvan, E. Dalimier, C. Riconda, F.B. Rosmej, S. Weber, P. Nicolai, O. Peyrusse, I. Uschmann, S. Hofer, T. Kampfer, R. Lotzsch, U. Zastrau, E. Forster, E. Oks, M. Antonio Gigosos, M. Angel Gonzalez, X-ray Spectroscopy of Hot Dense Plasmas: Experimental Limits, Line Shifts and Field Effects. In AIP Conference Proceedings, vol. 1058, pp. 341–348. AIP, October (2008)
U. Zastrau, C. Fortmann, R. Fäustlin, L. Cao, T. Döppner, S. Düsterer, S. Glenzer, G. Gregori, T. Laarmann, H. Lee, A. Przystawik, P. Radcliffe, H. Reinholz, G. Röpke, R. Thiele, J. Tiggesbäumker, N. Truong, S. Toleikis, I. Uschmann, A. Wierling, T. Tschentscher, E. Förster, R. Redmer, Bremsstrahlung and line spectroscopy of warm dense aluminum plasma heated by xuv free-electron-laser radiation. Phys. Rev. E 78(6), 066406 (2008)
U. Zastrau, T. Burian, J. Chalupsky, T. Döppner, T.W.J. Dzelzainis, R.R. Fäustlin, C. Fortmann, E. Galtier, S.H. Glenzer, G. Gregori, L. Juha, H.J. Lee, R.W. Lee, C.L.S. Lewis, N. Medvedev, B. Nagler, J. Nelson, D. Riley, F.B. Rosmej, S. Toleikis, T. Tschentscher, I. Uschmann, S.M. Vinko, J.S. Wark, T. Whitcher, E. Förster, XUV spectroscopic characterization of warm dense aluminum plasmas generated by the free-electron-laser FLASH. Laser Part. Beams 30(01), 45–56 (2012)
C.E. Graves, A.H. Reid, T. Wang, B. Wu, S. de Jong, K. Vahaplar, I. Radu, D.P. Bernstein, M. Messerschmidt, L. Müller, R. Coffee, M. Bionta, S.W. Epp, R. Hartmann, N. Kimmel, G. Hauser, A. Hartmann, P. Holl, H. Gorke, J.H. Mentink, A. Tsukamoto, A. Fognini, J.J. Turner, W.F. Schlotter, D. Rolles, H. Soltau, L. Strüder, Y. Acremann, A.V. Kimel, A. Kirilyuk, T. Rasing, J. Stöhr, A.O. Scherz, H.A. Dürr, Nanoscale spin reversal by non-local angular momentum transfer following ultrafast laser excitation in ferrimagnetic GdFeCo. Nat. Mater. 12(4), 293–298 (2013)
M. Harmand, R. Coffee, M. Bionta, M. Chollet, D. French, D.M. Zhu, D.T. Fritz, H. Lemke, N. Medvedev, B. Ziaja, S. Toleikis, M. Cammarata, Achieving few-femtosecond time-sorting at hard X-ray free-electron lasers. Nat. Photonics 7(3), 215–218 (2013)
R. Riedel, A. Al-Shemmary, M. Gensch, T. Golz, M. Harmand, N. Medvedev, M.J. Prandolini, K. Sokolowski-Tinten, S. Toleikis, U. Wegner, B. Ziaja, N. Stojanovic, F. Tavella, Single-shot pulse duration monitor for extreme ultraviolet and X-ray free-electron lasers. Nat. Commun. 4, 1731 (2013)
S.P. Hau-Riege, T. Pardini, Effect of high-intensity x-ray radiation on Bragg diffraction in silicon and diamond. J. Appl. Phys. 112(11), 114904 (2012)
A. Barty, S. Boutet, M.J. Bogan, S. Hau-Riege, S. Marchesini, K. Sokolowski-Tinten, N. Stojanovic, R. Tobey, H. Ehrke, A. Cavalleri, S. Düsterer, M. Frank, S. Bajt, B.W. Woods, M. Marvin Seibert, J. Hajdu, R. Treusch, H.N. Chapman, Ultrafast single-shot diffraction imaging of nanoscale dynamics. Nat. Photonics 2(7), 415–419 (2008)
F. Wang, E. Weckert, B. Ziaja, D.S.D. Larsson, D. van der Spoel, Coherent diffraction of a single virus particle: the impact of a water layer on the available orientational information. Phys. Rev. E 83(3), 031907 (2011)
B. Ziaja, N. Medvedev, Modelling ultrafast transitions within laser-irradiated solids. High Energy Density Phys. 8(1), 18–29 (2012)
O. Keski-Rahkonen, M.O. Krause, Total and partial atomic-level widths. Atomic Data Nuclear Data Tables 14(2), 139–146 (1974)
N. Medvedev, B. Rethfeld, Effective energy gap of semiconductors under irradiation with an ultrashort VUV laser pulse. Europhys. Lett. (EPL) 88(5), 55001 (2009)
B. Ziaja, R.A. London, J. Hajdu, Unified model of secondary electron cascades in diamond. J. Appl. Phys. 97(6), 064905 (2005)
P. Lorazo, L. Lewis, M. Meunier, Thermodynamic pathways to melting, ablation, and solidification in absorbing solids under pulsed laser irradiation. Phys. Rev. B 73(13), 134108 (2006)
A.E. Volkov, V.A. Borodin, Heating of metals in swift heavy ion tracks by electronion energy exchange. Nucl. Instrum. Methods Phys. Res. B 146(1–4), 137–141 (1998)
A. Kaiser, B. Rethfeld, M. Vicanek, G. Simon, Microscopic processes in dielectrics under irradiation by subpicosecond laser pulses. Phys. Rev. B 61(17), 11437–11450 (2000)
B. Rethfeld, O. Brenk, N. Medvedev, H. Krutsch, D.H.H. Hoffmann, Interaction of dielectrics with femtosecond laser pulses: application of kinetic approach and multiple rate equation. Appl. Phys. A 101(1), 19–25 (2010)
N. Medvedev, B. Rethfeld, A comprehensive model for the ultrashort visible light irradiation of semiconductors. J. Appl. Phys. 108(10), 103112 (2010)
N. Medvedev, B. Ziaja, M. Cammarata, M. Harmand, S. Toleikis, Electron kinetics in femtosecond X-ray irradiated SiO2. Contrib. Plasma Phys. 53(4–5), 347–354 (2013)
I. Grguraš, A.R. Maier, C. Behrens, T. Mazza, T.J. Kelly, P. Radcliffe, S. Düsterer, A.K. Kazansky, N.M. Kabachnik, T. Tschentscher, J.T. Costello, M. Meyer, M.C. Hoffmann, H. Schlarb, A.L. Cavalieri, Ultrafast X-ray pulse characterization at free-electron lasers. Nat. Photonics 6(12), 852–857 (2012)
M. Drescher, U. Frühling, M. Krikunova, T. Maltezopoulos, M. Wieland, Time-diagnostics for improved dynamics experiments at XUV FELs. J. Phys. B 43(19), 194010 (2010)
N. Medvedev, H.O. Jeschke, B. Ziaja, Nonthermal graphitization of diamond induced by a femtosecond X-ray laser pulse. Phys. Rev. B 88(22), 224304 (2013)
C. Jacoboni, L. Reggiani, The Monte Carlo method for the solution of charge transport in semiconductors with applications to covalent materials. Rev. Mod. Phys. 55(3), 645–705 (1983)
N.A. Medvedev, Excitation and relaxation of the electronic subsystem in solids after high energy deposition Dissertation. TU Kaiserslautern, Kaiserslautern (2011)
S.T. Perkins, Tables and Graphs of Atomic Subshell and Relaxation Data Derived from the LLNL Evaluated Atomic Data Library (EADL). Z = 1–100, vol. 30, edition (Lawrence Livermore National Laboratory, Livermore) (1991)
N. Medvedev, B. Rethfeld, Transient dynamics of the electronic subsystem of semiconductors irradiated with an ultrashort vacuum ultraviolet laser pulse. New J. Phys. 12(7), 073037 (2010)
D.E. Cullen, J.H. Hubbell, L. Kissel, EPDL97: The Evaluated Photon Data Library, ’97 version, vol. 6, re edition (Lawrence Livermore National Laboratory, UCRL-50400, Livermore, CA) (1997)
Y.-K. Kim, M. Rudd, Binary-encounter-dipole model for electron-impact ionization. Phys. Rev. A 50(5), 3954–3967 (1994)
J.A. Bearden, A.F. Burr, Reevaluation of X-ray atomic energy levels. Rev. Mod. Phys. 39(1), 125–142 (1967)
T. Maltezopoulos, S. Cunovic, M. Wieland, M. Beye, A. Azima, H. Redlin, M. Krikunova, R. Kalms, U. Frühling, F. Budzyn, W. Wurth, A. Föhlisch, M. Drescher, Single-shot timing measurement of extreme-ultraviolet free-electron laser pulses. New J. Phys. 10(3), 033026 (2008)
A.A. Baranov, N.A. Medvedev, A.E. Volkov, N.S. Scheblanov, Effect of interaction of atomic electrons on ionization of an insulator in swift heavy ion tracks. Nucl. Instrum. Methods Phys. Res. B 286, 51–55 (2012)
M.L. Knotek, P.J. Feibelman, Stability of ionically bonded surfaces in ionizing environments. Surf. Sci. 90(1), 78–90 (1979)
L.S. Cederbaum, J. Zobeley, F. Tarantelli, Giant intermolecular decay and fragmentation of clusters. Phys. Rev. Lett. 79(24), 4778–4781 (1997)
K. Gokhberg, A.B. Trofimov, T. Sommerfeld, L.S. Cederbaum, Ionization of metal atoms following valence-excitation of neighbouring molecules. Europhys. Lett. (EPL) 72(2), 228–234 (2005)
W.H. Strehlov, E.L. Cook, Compilation of energy band gaps in elemental and binary compound semiconductors and insulators. J. Phys. Chem. Ref. Data 2(1), 163–199 (1973)
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The author is deeply thankful to Dr. A. Aquila, Dr. M. Nakatsutsumi and Prof. B. Ziaja for fruitful discussions and help with the manuscript. Helpful comments from Dr. Z. Jurek and Dr. J. Gaudin are also acknowledged. The insightful and valuable suggestions from the Reviewers of the paper helped to improve the manuscript.
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Medvedev, N. Femtosecond X-ray induced electron kinetics in dielectrics: application for FEL-pulse-duration monitor. Appl. Phys. B 118, 417–429 (2015). https://doi.org/10.1007/s00340-015-6005-4
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DOI: https://doi.org/10.1007/s00340-015-6005-4