On the possibility of ultrafast Kossel diffraction

Peyrusse Olivier

doi:10.1063/5.0091097

Volume 7 Issue 4

Jul. 2022

Turn off MathJax

Article Contents

Article Navigation > Matter and Radiation at Extremes > 2022 > 7(4): 044402

Peyrusse Olivier. On the possibility of ultrafast Kossel diffraction[J]. Matter and Radiation at Extremes, 2022, 7(4): 044402. doi: 10.1063/5.0091097

Citation:

Peyrusse Olivier. On the possibility of ultrafast Kossel diffraction[J]. Matter and Radiation at Extremes, 2022, 7(4): 044402. doi: 10.1063/5.0091097

Peyrusse Olivier. On the possibility of ultrafast Kossel diffraction[J]. Matter and Radiation at Extremes, 2022, 7(4): 044402. doi: 10.1063/5.0091097

Citation:

Peyrusse Olivier. On the possibility of ultrafast Kossel diffraction[J]. Matter and Radiation at Extremes, 2022, 7(4): 044402. doi: 10.1063/5.0091097

PDF( 5394 KB)

On the possibility of ultrafast Kossel diffraction

doi: 10.1063/5.0091097

Peyrusse Olivier^,

Aix-Marseille Université, CNRS, Laboratoire LP3, UMR7341, 13288 Marseille, France

More Information

Corresponding author: a)Author to whom correspondence should be addressed: olivier.peyrusse@univ-amu.fr
Received Date: 2022-03-11
Accepted Date: 2022-05-18

Available Online: 2022-07-01

Publish Date: 2022-07-01

Abstract

Abstract

We discuss the possibility of realizing time-resolved Kossel diffraction experiments for providing indications on the crystalline order or the periodic structure of a material. We make use of the interaction of short, ultra-intense laser pulses with a solid target, which generates short bursts of hot electrons. Penetrating inside a layered sample (i.e., a crystal or an artificial multilayer material), these electrons ionize inner-shell electrons so that the subsequent radiative filling of K-shell vacancies results in a strong Kα emission that is enhanced in the Bragg directions corresponding to the period of the material. We present simulations of angle-resolved Kα emission, which displays so-called Kossel patterns around the Bragg angles. We then discuss possible experiments appropriate for laser facilities delivering short and intense pulses.

FullText(HTML)

References(57)

References

[1]	T. Elsaesser and M. Woerner, “Perspective: Structural dynamics in condensed matter mapped by femtosecond x-ray diffraction,” J. Chem. Phys. 140, 020901 (2014).10.1063/1.4855115
[2]	F. Dorchies and V. Recoules, “Non-equilibrium solid-to-plasma transition dynamics using XANES diagnostic,” Phys. Rep. 657, 1 (2016).10.1016/j.physrep.2016.08.003
[3]	A. Rousse, C. Rischel, and J.-C. Gauthier, “Femtosecond x-ray crystallography,” Rev. Mod. Phys. 73, 17 (2001).10.1103/revmodphys.73.17
[4]	K. Sokolowski-Tinten, C. Blome, J. Blums et al., “Femtosecond X-ray measurement of coherent lattice vibrations near the Lindemann stability limit,” Nature 422, 287 (2003).10.1038/nature01490
[5]	M. Bargheer, N. Zhavoronkov, Y. Gritsai et al., “Coherent atomic motions in a nanostructure studied by femtosecond x-ray diffraction,” Science 306, 1771 (2004).10.1126/science.1104739
[6]	A. M. Lindenberg, J. Larsson, K. Sokolowski-Tinten et al., “Atomic-scale visualization of inertial dynamics,” Science 308, 392 (2005).10.1126/science.1107996
[7]	D. M. Fritz, D. A. Reis, B. Adams et al., “Ultrafast bond softening in bismuth: Mapping a solid’s interatomic potential with x-rays,” Science 315, 633 (2007).10.1126/science.1135009
[8]	P. Beaud, S. L. Johnson, A. Streun et al., “Spatiotemporal stability of a femtosecond hard x-ray undulator source studied by control of coherent optical phonons,” Phys. Rev. Lett. 99, 174801 (2007).10.1103/physrevlett.99.174801
[9]	Y. Azamoum, R. Clady, A. Ferré, M. Gambari, O. Utéza, and M. Sentis, “High photon flux Kα Mo x-ray source driven by a multi-terawatt femtosecond laser at 100 Hz,” Opt. Lett. 43, 3574 (2018).10.1364/ol.43.003574
[10]	M. Afshari, P. Krumey, D. Menn et al., “Time-resolved diffraction with an optimized short pulse laser plasma X-ray source,” Struct. Dyn. 7, 014301 (2020).10.1063/1.5126316
[11]	M. Holtz, C. Hauf, J. Weisshaupt et al., “Towards shot-noise limited diffraction experiments with table-top femtosecond hard x-ray sources,” Struct. Dyn. 4, 054304 (2017).10.1063/1.4991355
[12]	P. Glatzel and U. Bergmann, “High resolution 1s core hole X-ray spectroscopy in 3d transition metal complexes—electronic and structural information,” Coord. Chem. Rev. 249, 65 (2005).10.1016/j.ccr.2004.04.011
[13]	W. Kossel, V. Loeck, and H. Voges, “Die richtungsverteilung der in einem kristall entstandenen charakteristischen röntgenstrahlung,” Z. Phys. 94, 139 (1935).10.1007/bf01330803
[14]	T. Gog, D. Bahr, and G. Materlik, “Kossel diffraction in perfect crystals: X-ray standing waves in reverse,” Phys. Rev. B 51, 6761 (1995).10.1103/physrevb.51.6761
[15]	J. T. Hutton, G. T. Trammell, and J. P. Hannon, “Determining the phase of the structure factor by Kossel cone analysis with the use of synchrotron radiation,” Phys. Rev. B 31, 743 (1985).10.1103/physrevb.31.743
[16]	G. Bortel, G. Faigel, M. Tegze, and A. Chumakov, “Measurement of synchrotron-radiation-excited Kossel patterns,” J. Synchrotron Radiat. 23, 214 (2016).10.1107/s1600577515019037
[17]	G. Faigel, G. Bortel, and M. Tegze, “Experimental phase determination of the structure factor from Kossel line profile,” Sci. Rep. 6, 22904 (2016).10.1038/srep22904
[18]	D. V. Novikov, B. Adams, T. Hiort et al., “X-ray holography for structural imaging,” J. Synchrotron Radiat. 5, 315 (1998).10.1107/s0909049597020153
[19]	B. Adams, D. V. Novikov, T. Hiort, G. Materlik, and E. Kossel, “Atomic holography with x-rays,” Phys. Rev. B 57, 7526 (1998).10.1103/physrevb.57.7526
[20]	A. Szöke, “X-ray and electron holography using a local reference beam,” AIP Conf. Proc. 147, 361 (1986).10.1063/1.35963
[21]	M. Tegze and G. Faigel, “Atomic-resolution x-ray holography,” Europhys. Lett. 16, 41 (1991).10.1209/0295-5075/16/1/008
[22]	M. Tegze and G. Faigel, “X-ray holography with atomic resolution,” Nature 380, 49 (1996).10.1038/380049a0
[23]	K. Hayashi and P. Korecki, “X-ray fluorescence holography: Principles, apparatus, and applications,” J. Phys. Soc. Jpn. 87, 061003 (2018).10.7566/jpsj.87.061003
[24]	W. Kossel, “Bemerkung zur scheinbaren selektiven reflexion von röntgenstrahlen an kristallen,” Z. Phys. 23, 278 (1924).10.1007/bf01327591
[25]	E. Langer and S. Däbritz, “75 years of Kossel patterns—Past and future,” IOP Conf. Ser.: Mater. Sci. Eng. 7, 012015 (2010).10.1088/1757-899x/7/1/012015
[26]	J. P. Chauvineau and F. Bridou, “Analyse angulaire de la fluorescence du fer dans une multicouche périodique Fe/C,” J. Phys. IV France 6, C7-53 (1996).10.1051/jp4:1996707
[27]	P. Jonnard, J.-M. André, C. Bonnelle, F. Bridou, and B. Pardo, “Modulation of x-ray line intensity emitted by a periodic structure under electron excitation,” Appl. Phys. Lett. 81, 1524 (2002).10.1063/1.1502189
[28]	P. Jonnard, J.-M. André, C. Bonnelle, F. Bridou, and B. Pardo, “Soft-x-ray Kossel structures from W/C multilayers under various electron ionization conditions,” Phys. Rev. A 68, 032505 (2003).10.1103/physreva.68.032505
[29]	K. L. Guen, J.-M. André, M. Wu et al., “Kossel effect in periodic multilayers,” J. Nanosci. Nanotechnol. 19, 593 (2019).10.1166/jnn.2019.16472
[30]	O. Peyrusse, P. Jonnard, K. Le Guen, and J.-M. André, “X-ray emission from layered media irradiated by an x-ray free-electron laser,” Phys. Rev. A 101, 013818 (2020).10.1103/physreva.101.013818
[31]	M. Sanchez del Rio, N. Perez-Bocanegra, X. Shi, V. Honkimäki, and L. Zhang, “Simulation of X-ray diffraction profiles for bent anisotropic crystals,” J. Appl. Crystallogr. 48, 477 (2015).10.1107/s1600576715002782
[32]	M. Sanchez del Rio and R. J. Dejus, “Status of XOP: An x-ray optics software toolkit,” Proc. SPIE 5536, 171 (2004).10.1117/12.560903
[33]	M. Sánchez del Río and R. J. Dejus, “XOP v2.4: Recent developments of the x-ray optics software toolkit,” Proc. SPIE 8141, 814115 (2011).10.1117/12.893911
[34]	W. Schülke and O. Brümmer, “Vergleichende untersuchungen von interferenzen bei kohärenter und inkohärenter lage der röntgen-strahlenquelle zum kristallgitter,” Z. Naturforsch., A 17, 208 (1962).10.1515/zna-1962-0305
[35]	M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1975).
[36]	O. Peyrusse, J. M. André, P. Jonnard, and J. Gaudin, “Modeling of the interaction of an x-ray free-electron laser with large finite samples,” Phys. Rev. E 96, 043205 (2017).10.1103/PhysRevE.96.043205
[37]	C. L. Leakeas and E. W. Larsen, “Generalized Fokker-Planck approximations of particle transport with highly forward-peaked scattering,” Nucl. Sci. Eng. 137, 236 (2001).10.13182/nse01-a2189
[38]
[39]	L. Volpe, D. Batani, A. Morace, and J. J. Santos, “Collisional and collective effects in two dimensional model for fast-electron transport in refluxing regime,” Phys. Plasmas 20, 013104 (2013).10.1063/1.4771586
[40]	S. C. Wilks, W. L. Kruer, M. Tabak, and A. B. Langdon, “Absorption of ultra-intense laser pulses,” Phys. Rev. Lett. 69, 1383 (1992).10.1103/physrevlett.69.1383
[41]	M. Sherlock, “Universal scaling of the electron distribution function in one-dimensional simulations of relativistic laser-plasma interactions,” Phys. Plasmas 16, 103101 (2009).10.1063/1.3240341
[42]	J. Yu, Z. Jiang, J. C. Kieffer, and A. Krol, “Hard x-ray emission in high intensity femtosecond laser–target interaction,” Phys. Plasmas 6, 1318 (1999).10.1063/1.873372
[43]	J. R. Davies, R. Betti, P. M. Nilson, and A. A. Solodov, “Copper K-shell emission cross sections for laser–solid experiments,” Phys. Plasmas 20, 083118 (2013).10.1063/1.4819721
[44]	C. Hombourger, “An empirical expression for K-shell ionization cross section by electron impact,” J. Phys. B: At. Mol., Opt. Phys. 31, 3693 (1998).10.1088/0953-4075/31/16/020
[45]	H. Sorum and J. Bremer, “High-resolution studies of the K emission spectra of nickel,” J. Phys. F: Met. Phys. 12, 2721 (1982).10.1088/0305-4608/12/11/029
[46]	M. H. Mendenhall, L. T. Hudson, C. I. Szabo, A. Henins, and J. P. Cline, “The molybdenum K-shell emission spectrum,” J. Phys. B: At. Mol., Opt. Phys. 52, 215004 (2019).10.1088/1361-6455/ab45d6
[47]	S. L. Johnson, P. Beaud, C. J. Milne et al., “Nanoscale depth-resolved coherent femtosecond motion in laser-excited bismuth,” Phys. Rev. Lett. 100, 155501 (2008).10.1103/physrevlett.100.155501
[48]	S. Pal and R. P. Gupta, “Phonon dispersion relations in nickel,” Solid State Commun. 4, 83 (1966).10.1016/0038-1098(66)90277-8
[49]	M. Nicoul, U. Shymanovich, A. Tarasevitch, D. von der Linde, and K. Sokolowski-Tinten, “Picosecond acoustic response of a laser-heated gold-film studied with time-resolved x-ray diffraction,” Appl. Phys. Lett. 98, 191902 (2011).10.1063/1.3584864
[50]	M. Först and T. Dekorsy, in Coherent Vibrational Dynamics, edited by S. DeSilvestri, G. Cerullo, and G. Lanzano (CRC Press, Taylor & Francis Group, London, 2008), p. 129.
[51]	J. Pudell, A. A. Maznev, M. Herzog et al., “Layer specific observation of slow thermal equilibration in ultrathin metallic nanostructures by femtosecond X-ray diffraction,” Nat. Commun. 9, 3335 (2018).10.1038/s41467-018-05693-5
[52]	V. Recoules, J. Clérouin, G. Zérah, P. M. Anglade, and S. Mazevet, “Effect of intense laser irradiation of the lattice stability of semiconductors and metals,” Phys. Rev. Lett. 96, 055503 (2006).10.1103/PhysRevLett.96.055503
[53]	S. L. Daraszewicz, Y. Giret, N. Naruse et al., “Structural dynamics of laser-irradiated gold nanofilms,” Phys. Rev. B 88, 184101 (2013).10.1103/physrevb.88.184101
[54]	Z. Lin, L. V. Zhigilei, and V. Celli, “Electron-phonon coupling and electron heat capacity of metals under conditions of strong electron-phonon nonequilibrium,” Phys. Rev. B 77, 075133 (2008).10.1103/physrevb.77.075133
[55]	M. Gambari, R. Clady, L. Videau et al., “Experimental investigation of size broadening of a Kα x-ray source produced by high intensity laser pulses,” Sci. Rep. 11, 23318 (2021).10.1038/s41598-021-02585-5
[56]	C. Fourment, N. Arazam, C. Bonte et al., “Broadband, high dynamics and high resolution charge coupled device-based spectrometer in dynamic mode for multi-keV repetitive x-ray sources,” Rev. Sci. Instrum. 80, 083505 (2009).10.1063/1.3189004
[57]	S. P. Bellier and R. D. Doherty, “The structure of deformed aluminium and its recrystallization—Investigations with transmission Kossel diffraction,” Acta Metall. 25, 521 (1977).10.1016/0001-6160(77)90192-4