Skip to main content
Log in

Femtosecond X-ray induced electron kinetics in dielectrics: application for FEL-pulse-duration monitor

  • Published:
Applied Physics B Aims and scope Submit manuscript

A Correction to this article was published on 16 April 2019

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

Notes

  1. N. Medvedev and B. Ziaja. XCASCADE, a Monte Carlo tool for modeling ultrafast electron cascading in solids after X-ray irradiation. DESY, Hamburg, 2014.

  2. According to the LCLS official website, https://portal.slac.stanford.edu.

  3. Note also that the same procedure can be involved for analysis of already existing or new experimental data.

References

  1. 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)

    Article  ADS  Google Scholar 

  2. 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)

    Article  ADS  Google Scholar 

  3. D. Pile, X-rays: first light from SACLA. Nat. Photonics 5(8), 456–457 (2011)

    Article  ADS  Google Scholar 

  4. 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)

    Article  ADS  Google Scholar 

  5. 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)

  6. 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)

    Article  ADS  Google Scholar 

  7. J. Wark, Atomic physics: X-ray laser peels and cores atoms. Nature 466(7302), 35–6 (2010)

    Article  ADS  Google Scholar 

  8. 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)

    Article  ADS  Google Scholar 

  9. J. Ullrich, A. Rudenko, R. Moshammer, Free-electron lasers: new avenues in molecular physics and photochemistry. Annu. Rev. Phys. Chem. 63, 635–660 (2012)

    Article  ADS  Google Scholar 

  10. 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)

    Article  ADS  Google Scholar 

  11. 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)

    Article  ADS  Google Scholar 

  12. 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)

    Article  ADS  Google Scholar 

  13. 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)

    Article  ADS  Google Scholar 

  14. 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)

    Article  ADS  Google Scholar 

  15. 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)

    Article  ADS  Google Scholar 

  16. 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)

    Article  Google Scholar 

  17. 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)

    Article  ADS  Google Scholar 

  18. 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)

  19. 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)

    Article  ADS  Google Scholar 

  20. 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)

    Article  ADS  Google Scholar 

  21. 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)

    Article  ADS  Google Scholar 

  22. 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)

    Article  ADS  Google Scholar 

  23. 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)

    Article  ADS  Google Scholar 

  24. 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)

    Article  ADS  Google Scholar 

  25. 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)

    Article  Google Scholar 

  26. 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)

    Article  ADS  Google Scholar 

  27. B. Ziaja, N. Medvedev, Modelling ultrafast transitions within laser-irradiated solids. High Energy Density Phys. 8(1), 18–29 (2012)

    Article  ADS  Google Scholar 

  28. O. Keski-Rahkonen, M.O. Krause, Total and partial atomic-level widths. Atomic Data Nuclear Data Tables 14(2), 139–146 (1974)

    Article  ADS  Google Scholar 

  29. N. Medvedev, B. Rethfeld, Effective energy gap of semiconductors under irradiation with an ultrashort VUV laser pulse. Europhys. Lett. (EPL) 88(5), 55001 (2009)

    Article  ADS  Google Scholar 

  30. B. Ziaja, R.A. London, J. Hajdu, Unified model of secondary electron cascades in diamond. J. Appl. Phys. 97(6), 064905 (2005)

    Article  ADS  Google Scholar 

  31. 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)

    Article  ADS  Google Scholar 

  32. 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)

    Article  ADS  Google Scholar 

  33. 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)

    Article  ADS  Google Scholar 

  34. 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)

    Article  ADS  Google Scholar 

  35. N. Medvedev, B. Rethfeld, A comprehensive model for the ultrashort visible light irradiation of semiconductors. J. Appl. Phys. 108(10), 103112 (2010)

    Article  ADS  Google Scholar 

  36. 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)

    Article  ADS  Google Scholar 

  37. 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)

    Article  ADS  Google Scholar 

  38. 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)

    Article  ADS  Google Scholar 

  39. 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)

    Article  ADS  Google Scholar 

  40. 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)

    Article  ADS  Google Scholar 

  41. N.A. Medvedev, Excitation and relaxation of the electronic subsystem in solids after high energy deposition Dissertation. TU Kaiserslautern, Kaiserslautern (2011)

  42. 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)

  43. 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)

    Article  ADS  Google Scholar 

  44. 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)

  45. Y.-K. Kim, M. Rudd, Binary-encounter-dipole model for electron-impact ionization. Phys. Rev. A 50(5), 3954–3967 (1994)

    Article  ADS  Google Scholar 

  46. J.A. Bearden, A.F. Burr, Reevaluation of X-ray atomic energy levels. Rev. Mod. Phys. 39(1), 125–142 (1967)

    Article  ADS  Google Scholar 

  47. 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)

    Article  ADS  Google Scholar 

  48. 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)

    Article  ADS  Google Scholar 

  49. M.L. Knotek, P.J. Feibelman, Stability of ionically bonded surfaces in ionizing environments. Surf. Sci. 90(1), 78–90 (1979)

    Article  ADS  Google Scholar 

  50. L.S. Cederbaum, J. Zobeley, F. Tarantelli, Giant intermolecular decay and fragmentation of clusters. Phys. Rev. Lett. 79(24), 4778–4781 (1997)

    Article  ADS  Google Scholar 

  51. 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)

    Article  ADS  Google Scholar 

  52. 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)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nikita Medvedev.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00340-015-6005-4

Keywords

Navigation