Abstract
The advent of X-ray Free Electron Lasers (XFELs) has ushered in a transformative era in the field of structural biology, materials science, and ultrafast physics. These state-of-the-art facilities generate ultra-bright, femtosecond-long X-ray pulses, allowing researchers to delve into the structure and dynamics of molecular systems with unprecedented temporal and spatial resolutions. The unique properties of XFEL pulses have opened new avenues for scientific exploration that were previously considered unattainable. One of the most notable applications of XFELs is in structural biology. Traditional X-ray crystallography, while instrumental in determining the structures of countless biomolecules, often requires large, high-quality crystals and may not capture highly transient states of proteins. XFELs, with their ability to produce diffraction patterns from nanocrystals or even single particles, have provided solutions to these challenges. XFEL has expanded the toolbox of structural biologists by enabling structural determination approaches such as Single Particle Imaging (SPI) and Serial X-ray Crystallography (SFX). Despite their remarkable capabilities, the journey of XFELs is still in its nascent stages, with ongoing advancements aimed at improving their coherence, pulse duration, and wavelength tunability.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Yoon CH, Yurkov MV, Schneidmiller EA, Samoylova L, Buzmakov A, Jurek Z, Ziaja B (2016) A comprehensive simulation framework for imaging single particles and biomolecules at the European X-ray free-electron laser. Sci Rep. https://doi.org/10.1038/srep24791
Keable SM, Kölsch A, Simon PS, Dasgupta M, Chatterjee R, Subramanian SK, Hussein R (2021) Room temperature XFEL crystallography reveals asymmetry in the vicinity of the two phylloquinones in photosystem I. Sci Rep 11:21787. https://doi.org/10.1038/s41598-021-00236-3
Cox N, Pantazis DA, Lubitz W (2020) Current understanding of the mechanism of water oxidation in photosystem II and its relation to XFEL data. Annu Rev Biochem 89:795–820. https://doi.org/10.1146/annurev-biochem-011520-104801
Wiedorn MO, Oberthür D, Bean R, Schubert R, Werner N, Abbey B, Aepfelbacher M (2018) Megahertz serial crystallography. Nat Commun 9:4025. https://doi.org/10.1038/s41467-018-06156-7
Schmidt M (2013) Mix and inject: reaction initiation by diffusion for time-resolved macromolecular crystallography. Adv Condens Matter Phys
Owen RL, Rudino-Pinera E, Garman EF (2006) Experimental determination of the radiation dose limit for cryocooled protein crystals. Proc Natl Acad Sci 103:4912
Owen RL, Axford D, Nettleship JE, Owens RJ, Robinson JI, Morgan AW, Doré AS (2012) Outrunning free radicals in room-temperature macromolecular crystallography. Acta Crystallogr D Biol Crystallogr. https://doi.org/10.1107/S0907444912012553
de la Mora E, Mora E, Coquelle N, Bury CS, Rosenthal M, Holton JM, Carmichael I (2020) Radiation damage and dose limits in serial synchrotron crystallography at cryo- and room temperatures. Proc Natl Acad Sci 117:4142
Kern J, Alonso-Mori R, Tran R, Hattne J, Gildea RJ, Echols N, Glockner C (2013) Simultaneous femtosecond X-ray spectroscopy and diffraction of photosystem II at room temperature. Science. https://doi.org/10.1126/science.1234273
Boutet S, Lomb L, Williams GJ, Barends TRM, Aquila A, Doak RB, Weierstall U (2012) High-resolution protein structure determination by serial femtosecond crystallography. Science. https://doi.org/10.1126/science.1217737
Liu W, Wacker D, Gati C, Han GW, James D, Wang D, Nelson G (2013) Serial femtosecond crystallography of G protein-coupled receptors. Science. https://doi.org/10.1126/science.1244142
Lomb L, Barends TRM, Kassemeyer S, Aquila A, Epp SW, Erk B, Foucar L (2011) Radiation damage in protein serial femtosecond crystallography using an X-ray free-electron laser. Phys Rev B Condens Matter Mater Phys 84:214111. https://doi.org/10.1103/PhysRevB.84.214111
Nass K (2019) Radiation damage in protein crystallography at X-ray free-electron lasers. Acta Crystallogr Sect Struct Biol. https://doi.org/10.1107/s2059798319000317
Abbey B, Dilanian RA, Darmanin C, Ryan RA, Putkunz CT, Martin AV, Wood D (2016) X-ray laser-induced electron dynamics observed by femtosecond diffraction from nanocrystals of buckminsterfullerene. Sci Adv 2:1601186. https://doi.org/10.1126/sciadv.1601186
Amin M, Badawi A, Obayya SS (2016) Radiation damage in XFEL: case study from the oxygen-evolving complex of photosystem II. Sci Rep 6:36492. https://doi.org/10.1038/srep36492
Standfuss J (2019) Membrane protein dynamics studied by X-ray lasers – or why only time will tell. Curr Opin Struct Biol 57:63–71. https://doi.org/10.1016/j.sbi.2019.02.001
Dickerson JL, McCubbin PTN, Garman EF (2020) RADDOSE-XFEL: femtosecond time-resolved dose estimates for macromolecular X-ray free-electron laser experiments. J Appl Crystallogr. https://doi.org/10.1107/s1600576720000643
Suga M, Shimada A, Akita F, Shen J-R, Tosha T, Sugimoto H (2020) Time-resolved studies of metalloproteins using X-ray free electron laser radiation at SACLA. Biochim Biophys Acta Gen Subj 1864 2:129466. https://doi.org/10.1016/j.bbagen.2019.129466
Borshchevskiy V, Round E, Erofeev I, Weik M, Ishchenko A, Gushchin I, Mishin A, Willbold D, Büldt G, Gordeliy V (2014) Low-dose X-ray radiation induces structural alterations in proteins. Acta Crystallogr D Biol Crystallogr 70:2675–2685. https://doi.org/10.1107/S1399004714017295
Chapman HN, Fromme P, Barty A, White TA, Kirian RA, Aquila A, Hunter MS (2011) Femtosecond X-ray protein nanocrystallography. Nature 470:73–77. https://doi.org/10.1038/nature09750
Redecke L, Nass K, DePonte DP, White TA, Rehders D, Barty A, Stellato F (2013) Natively inhibited trypanosoma brucei cathepsin B structure determined by using an X-ray laser. Science 339:227–230. https://doi.org/10.1126/science.1229663
Barends TRM, Foucar L, Sabine Botha RBD, Shoeman RL, Nass K, Koglin JE (2014) De novo protein crystal structure determination from X-ray free-electron laser data. Nature 505:244–247. https://doi.org/10.1038/nature12773
Aquila A, Hunter MS, Doak RB, Kirian RA, Fromme P, White TA, Andreasson J (2012) Time-resolved protein nanocrystallography using an X-ray free-electron laser. Opt Express 20:2706–2716. https://doi.org/10.1364/OE.20.002706
Standfuss J, Spence J (2017) Serial crystallography at synchrotrons and X-ray lasers. IUCrJ. https://doi.org/10.1107/S2052252517001877
Grünbein ML, Bielecki J, Gorel A, Stricker M, Bean R, Cammarata M, Dörner K, Fröhlich L, Hartmann E, Hauf S, Hilpert M, Kim Y, Kloos M, Letrun R, Messerschmidt M, Mills G, Nass Kovacs G, Ramilli M, Roome CM, Sato T, Scholz M, Sliwa M, Sztuk-Dambietz J, Weik M, Weinhausen B, Al-Qudami N, Boukhelef D, Brockhauser S, Ehsan W, Emons M, Esenov S, Fangohr H, Kaukher A, Kluyver T, Lederer M, Maia L, Manetti M, Michelat T, Münnich A, Pallas F, Palmer G, Previtali G, Raab N, Silenzi A, Szuba J, Venkatesan S, Wrona K, Zhu J, Doak RB, Shoeman RL, Foucar L, Colletier J-P, Mancuso AP, Barends TRM, Stan CA, Schlichting I (2018) Megahertz data collection from protein microcrystals at an X-ray free-electron laser. Nat Commun 9:3487. https://doi.org/10.1038/s41467-018-05953-4
Suga M, Akita F, Hirata K, Ueno G, Murakami H, Nakajima Y, Shimizu T (2015) Native structure of photosystem II at 1.95 Å resolution viewed by femtosecond X-ray pulses. Nature 517:99–103. https://doi.org/10.1038/nature13991
Pandey S, Bean R, Sato T, Poudyal I, Bielecki J, Villarreal JC, Yefanov O (2020) Time-resolved serial femtosecond crystallography at the European XFEL. Nat Methods 17:73–78. https://doi.org/10.1038/s41592-019-0628-z
Miao J, Ishikawa T, Robinson IK, Murnane MM (2015) Beyond crystallography: diffractive imaging using coherent X-ray light sources. Science 348:530–535. https://doi.org/10.1126/science.aaa1394
Neutze R, Wouts R, Spoel D, Weckert E, Hajdu J (2000) Potential for biomolecular imaging with femtosecond X-ray pulses. Nature 406:752–757. https://doi.org/10.1038/35021099
Altarelli M (2006) XFEL: the European X-ray free-electron laser. Technical design report
Sun Z, Fan J, Li H, Jiang H (2018) Current status of single particle imaging with X-ray lasers. Appl Sci. https://doi.org/10.3390/app8010132
Giewekemeyer K, Aquila A, Loh N-TD, Chushkin Y, Shanks KS, Weiss JT, Tate MW (2019) Experimental 3D coherent diffractive imaging from photon-sparse random projections. IUCrJ 6:357–365. https://doi.org/10.1107/S2052252519002781
Poudyal I, Marius S, Peter S (2020) Single-particle imaging by x-ray free-electron lasers – how many snapshots are needed? Struct Dyn 7:024102. https://doi.org/10.1063/1.5144516
Aquila A, Barty A, Bostedt C, Boutet S, Carini G, dePonte D, Drell P (2015) The linac coherent light source single particle imaging road map. Struct Dyn 2:041701. https://doi.org/10.1063/1.4918726
Mariani V, Morgan A, Yoon CH, Lane TJ, White TA, O’Grady C, Kuhn M (2016) OnDa: online data analysis and feedback for serial X-ray imaging. J Appl Crystallogr 49:1073–1080. https://doi.org/10.1107/S1600576716007469
Fortmann-Grote C, Buzmakov A, Jurek Z, Loh N-TD, Samoylova L, Santra R, Schneidmiller EA (2017) Start-to-end simulation of single-particle imaging using ultra-short pulses at the European X-ray free-electron laser. IUCrJ. https://doi.org/10.1107/s2052252517009496
Daurer BJ, Okamoto K, Bielecki J, Maia FRNC, Kerstin Mühlig MMS, Hantke MF (2017) Experimental strategies for imaging bioparticles with femtosecond hard X-ray pulses. IUCrJ 4:251–262. https://doi.org/10.1107/S2052252517003591
Bielecki J, Maia FRNC, Mancuso AP (2020) Perspectives on single particle imaging with X rays at the advent of high repetition rate X-ray free electron laser sources. Struct Dyn 7:040901. https://doi.org/10.1063/4.0000024
Sobolev E, Zolotarev S, Giewekemeyer K, Bielecki J, Okamoto K, Reddy HKN, Andreasson J (2020) Megahertz single-particle imaging at the European XFEL. Commun Phys 3:1–11. https://doi.org/10.1038/s42005-020-0362-y
Pande K, Donatelli JJ, Malmerberg E, Foucar L, Poon BK, Sutter M, Botha S (2018) Free-electron laser data for multiple-particle fluctuation scattering analysis. Sci Data 5. https://doi.org/10.1038/sdata.2018.201
Malmerberg E, Kerfeld CA, Zwart PH (2015) Operational properties of fluctuation X-ray scattering data. IUCrJ 2:309–316. https://doi.org/10.1107/S2052252515002535
Levantino M, Schirò G, Lemke HT, Cottone G, Glownia JM, Zhu D, Chollet M, Ihee H, Cupane A, Cammarata M (2015) Ultrafast myoglobin structural dynamics observed with an X-ray free-electron laser. Nat Commun 6. https://doi.org/10.1038/ncomms7772
Arnlund D, Johansson LC, Wickstrand C, Barty A, Williams GJ, Malmerberg E, Davidsson J (2014) Visualizing a protein quake with time-resolved X-ray scattering at a free-electron laser. Nat Methods. https://doi.org/10.1038/nmeth.3067
Lee Y, Kim JG, Lee SJ, Muniyappan S, Kim TW, Ki H, Kim H (2021) Ultrafast coherent motion and helix rearrangement of homodimeric hemoglobin visualized with femtosecond X-ray solution scattering. Nat Commun 12:3677. https://doi.org/10.1038/s41467-021-23947-7
Blanchet CE, Round A, Mertens HDT, Ayyer K, Graewert M, Awel S, Franke D, Dörner K, Bajt S, Bean R, Custódio TF, de Wijn R, Juncheng E, Henkel A, Gruzinov A, Jeffries CM, Kim Y, Kirkwood H, Kloos M, Knoška J, Koliyadu J, Letrun R, Löw C, Makroczyova J, Mall A, Meijers R, Murillo GEP, Oberthür D, Round E, Seuring C, Sikorski M, Vagovic P, Valerio J, Wollweber T, Zhuang Y, Schulz J, Haas H, Chapman HN, Mancuso AP, Svergun D (2023) Form factor determination of biological molecules with X-ray free electron laser small-angle scattering (XFEL-SAS) abstract. Commun Biol 6:1057. https://doi.org/10.1038/s42003-023-05416-7
Spence JCH, Weierstall U, Howells M (2004) Coherence and sampling requirements for diffractive imaging. Ultramicroscopy 101:149–152. https://doi.org/10.1016/j.ultramic.2004.05.005
Fuller FD, Gul S, Ruchira Chatterjee ESB, Young ID, Lebrette H, Srinivas V (2017) Drop-on-demand sample delivery for studying biocatalysts in action at X-ray free-electron lasers. Nat Methods 14:443–449. https://doi.org/10.1038/nmeth.4195
Juncheng E, Stransky M, Jurek Z, Fortmann-Grote C, Juha L, Santra R, Ziaja B, Mancuso AP (2021) Effects of radiation damage and inelastic scattering on single-particle imaging of hydrated proteins with an X-ray free-electron laser. Sci Rep 11:1–11. https://doi.org/10.1038/s41598-021-97142-5
Ekeberg T, Svenda M, Abergel C, Maia FRNC, Seltzer V, Claverie J-M, Hantke M (2015) Three-dimensional reconstruction of the giant mimivirus particle with an X-ray free-electron laser. Phys Rev Lett 114:098102. https://doi.org/10.1103/PhysRevLett.114.098102
Kurta RP, Donatelli JJ, Yoon CH, Berntsen P, Bielecki J, Daurer BJ, DeMirci H (2017) Correlations in scattered X-ray laser pulses reveal nanoscale structural features of viruses. Phys Rev Lett 119:158102. https://doi.org/10.1103/PhysRevLett.119.158102
Hantke MF, Hasse D, Ekeberg T, John K, Martin Svenda NDL (2014) High-throughput imaging of heterogeneous cell organelles with an X-ray laser. Nat Photonics 8. https://doi.org/10.1038/nphoton.2014.270
Reddy HKN, Yoon CH, Aquila A, Awel S, Ayyer K, Barty A, Berntsen P (2017) Coherent soft X-ray diffraction imaging of coliphage PR772 at the linac coherent light source. Sci Data 4. https://doi.org/10.1038/sdata.2017.79
Munke A, Andreasson J, Aquila A, Awel S, Ayyer K, Barty A, Bean RJ (2016) Coherent diffraction of single rice dwarf virus particles using hard X-rays at the linac coherent light source. Sci Data 3. https://doi.org/10.1038/sdata.2016.64
Mancuso AP, Aquila A, Batchelor L, Bean RJ, Bielecki J, Borchers G, Doerner K (2019) The single particles, clusters and biomolecules and serial femtosecond crystallography instrument of the European XFEL: initial installation. J Synchrotron Radiat 26:660–676. https://doi.org/10.1107/S1600577519003308
Yamashita M, Fenn JB (1984) Electrospray ion source. Another variation on the free-jet theme. J Phys Chem. https://doi.org/10.1021/j150664a002
DePonte DP, Weierstall U, Schmidt K, Warner J, Starodub D, Spence JCH, Doak RB (2008) Gas dynamic virtual nozzle for generation of microscopic droplet streams. J Phys D Appl Phys. https://doi.org/10.1088/0022-3727/41/19/195505
Grünbein ML, Shoeman RL, Doak RB (2018) Velocimetry of fast microscopic liquid jets by nanosecond dual-pulse laser illumination for megahertz X-ray free-electron lasers. Opt Express 26:7190–7203. https://doi.org/10.1364/OE.26.007190
Weierstall U, James D, Wang C, White TA, Wang D, Liu W, Spence JCH (2014) Lipidic cubic phase injector facilitates membrane protein serial femtosecond crystallography. Nat Commun 5:3309
Stagno JR, Liu Y, Bhandari YR, Conrad CE, Panja S, Swain M, Fan L (2017) Structures of riboswitch RNA reaction states by mix-and-inject XFEL serial crystallography. Nature 541:242–246. https://doi.org/10.1038/nature20599
Kupitz C, Olmos JL Jr, Holl M, Tremblay L, Pande K, Pandey S, Oberthür D (2017) Structural enzymology using X-ray free electron lasers. Struct Dyn 4:044003. https://doi.org/10.1063/1.4972069
Calvey GD, Katz AM, Schaffer CB, Pollack L (2016) Mixing injector enables time-resolved crystallography with high hit rate at X-ray free electron lasers. Struct Dyn 3:054301. https://doi.org/10.1063/1.4961971
Wang D, Weierstall U, Pollack L, Spence J (2014) Double-focusing mixing jet for XFEL study of chemical kinetics. J Synchrotron Radiat 21:1364–1366. https://doi.org/10.1107/S160057751401858X
Trebbin M, Krüger K, DePonte D, Roth SV, Chapman HN, Förster S (2014) Microfluidic liquid jet system with compatibility for atmospheric and high-vacuum conditions. Lab Chip 14:1733–1745. https://doi.org/10.1039/C3LC51363G
Nelson G, Kirian RA, Weierstall U, Zatsepin NA, Faragó T, Baumbach T, Wilde F (2016) Three-dimensional-printed gas dynamic virtual nozzles for X-ray laser sample delivery. Opt Express 24:11515–11530. https://doi.org/10.1364/OE.24.011515
Bielecki J, Hantke MF, Daurer BJ, Reddy HKN, Hasse D, Larsson DSD, Gunn LH (2019) Electrospray sample injection for single-particle imaging with X-ray lasers. Sci Adv 5:8801. https://doi.org/10.1126/sciadv.aav8801
Hantke MF, Bielecki J, Kulyk O, Westphal D, Larsson DSD, Svenda M, Reddy HKN (2018) Rayleigh-scattering microscopy for tracking and sizing nanoparticles in focused aerosol beams. IUCrJ 5:673–680. https://doi.org/10.1107/S2052252518010837
Roth N, Awel S, Horke DA, Küpper J (2018) Optimizing aerodynamic lenses for single-particle imaging. J Aerosol Sci. https://doi.org/10.1016/j.jaerosci.2018.06.010
Andreasson J, Martin AV, Liang M, Timneanu N, Aquila A, Wang F, Iwan B (2014) Automated identification and classification of single particle serial femtosecond X-ray diffraction data. Opt Express 22:2497–2510. https://doi.org/10.1364/OE.22.002497
Soares AS, Engel MA, Stearns R, Datwani S, Olechno J, Ellson R, Skinner JM, Allaire M, Orville AM (2011) Acoustically mounted microcrystals yield high-resolution X-ray structures. Biochemistry 50:4399–4401. https://doi.org/10.1021/bi200549x
Roessler CG, Agarwal R, Allaire M, Alonso-Mori R, Andi B, Bachega JFR, Bommer M (2016) Acoustic injectors for drop-on-demand serial femtosecond crystallography. Structure 24:631–640. https://doi.org/10.1016/j.str.2016.02.007
Graceffa R, Burghammer M, Davies RJ, Riekel C (2012) Probing ballistic microdrop coalescence by stroboscopic small-angle X-ray scattering. Appl Phys Lett. https://doi.org/10.1063/1.4772631
Roedig P, Ginn HM, Pakendorf T, Sutton G, Harlos K, Walter TS, Meyer J (2017) High-speed fixed-target serial virus crystallography. Nat Methods 14:805–810. https://doi.org/10.1038/nmeth.4335
Tolstikova A, Levantino M, Yefanov O, Hennicke V, Fischer P, Meyer J, Mozzanica A (2019) 1 kHz fixed-target serial crystallography using a multilayer monochromator and an integrating pixel detector. IUCrJ. https://doi.org/10.1107/S205225251900914X
Rupp B (2009) Biomolecular crystallography. Garland Science
Yefanov O, Oberthür D, Bean R, Wiedorn MO, Knoska J, Pena G, Awel S (2019) Evaluation of serial crystallographic structure determination within megahertz pulse trains. Struct Dyn. https://doi.org/10.1063/1.5124387
Patel J, Round A, Bielecki J, Doerner K, Kirkwood H, Letrun R, Schulz J, Sikorski M, Vakili M, De Wijn R, Peele A, Mancuso AP, Abbey B (2022) Towards real-time analysis of liquid jet alignment in serial femtosecond crystallography. J Appl Crystallogr 55:944–952. https://doi.org/10.1107/S1600576722005891
Henrich B, Becker J, Dinapoli R, Goettlicher P, Graafsma H, Hirsemann H, Klanner R, Krueger H, Mazzocco R, Mozzanica A, Perrey H, Potdevin G, Schmitt B, Shi X, Srivastava AK, Trunk U, Youngman C (2011) The adaptive gain integrating pixel detector AGIPD a detector for the European XFEL. Nucl Instrum Methods Phys Res Sect Accel Spectrometers Detect Assoc Equip 633:S11–S14. https://doi.org/10.1016/j.nima.2010.06.107
Kuster M, Boukhelef D, Donato M, Dambietz J-S, Hauf S, Maia L, Raab N (2014) Detectors and calibration concept for the European XFEL. Synchrotron Radiat News. https://doi.org/10.1080/08940886.2014.930809
Barty A, Kirian RA, Maia FRNC, Hantke M, Yoon CH, White TA, Chapman H (2014) Cheetah: software for high-throughput reduction and analysis of serial femtosecond X-ray diffraction data. J Appl Crystallogr 47:1118–1131. https://doi.org/10.1107/S1600576714007626
Hadian-Jazi M, Sadri A, Barty A, Yefanov O, Galchenkova M, Oberthuer D, Komadina D (2021) Data reduction for serial crystallography using a robust peak finder. J Appl Crystallogr 54:1360–1378. https://doi.org/10.1107/S1600576721007317
McRee DE (1999) Practical Protein Crystallography. 2nd edition. Elsevier. https://doi.org/10.1016/B978-0-12-486052-0.X5000-3
Kabsch W (2012) XDS. In: International Tables for Crystallography Vol. F, ch. 11.6, pp. 304–310. https://doi.org/10.1107/97809553602060000835
Leslie AGW, Powell HR (2007) Processing diffraction data with Mosflm. Evol Methods Macromol Crystallogr. https://doi.org/10.1007/978-1-4020-6316-9_4
White TA, Kirian RA, Martin AV, Aquila A, Nass K, Barty A, Chapman HN (2012) CrystFEL: a software suite for snapshot serial crystallography. J Appl Crystallogr. https://doi.org/10.1107/S0021889812002312
Brehm W, Diederichs K (2014) Breaking the indexing ambiguity in serial crystallography. Acta Crystallogr D Biol Crystallogr. https://doi.org/10.1107/s1399004713025431
Liu H, Spence JCH (2014) The indexing ambiguity in serial femtosecond crystallography (SFX) resolved using an expectation maximization algorithm. IUCrJ. https://doi.org/10.1107/s2052252514020314
Li C, Li X, Kirian R, Spence JCH, Liu H, Zatsepin NA (2019) SPIND: a reference-based auto-indexing algorithm for sparse serial crystallography data. IUCrJ 6:72–84. https://doi.org/10.1107/S2052252518014951
Kirian RA, Wang X, Weierstall U, Schmidt KE, Spence JCH, Hunter M, Fromme P, White T, Chapman HN, Holton J (2010) Femtosecond protein nanocrystallography—data analysis methods. Opt Express 18:5713–5723. https://doi.org/10.1364/OE.18.005713
Evans P (2006) Scaling and assessment of data quality. Acta Crystallogr D Biol Crystallogr 62:72–82. https://doi.org/10.1107/S0907444905036693
Adams PD, Afonine PV, Bunkóczi G, Chen VB, Davis IW, Echols N, Headd JJ, Hung L-W, Kapral GJ, Grosse-Kunstleve RW, McCoy AJ, Moriarty NW, Oeffner R, Read RJ, Richardson DC, Richardson JS, Terwilliger TC, Zwart PH (2010) PHENIX: a comprehensive Python-based system for macromolecular structure solution. Acta Crystallogr D Biol Crystallogr 66:213–221. https://doi.org/10.1107/S0907444909052925
Loh N-TD, Elser V (2009) Reconstruction algorithm for single-particle diffraction imaging experiments. Phys Rev. https://doi.org/10.1103/PhysRevE.80.026705
Yoon CH, Schwander P, Abergel C, Andersson I, Andreasson J, Aquila A, Bajt S (2011) Unsupervised classification of single-particle X-ray diffraction snapshots by spectral clustering. Opt Express 19:16542–16549. https://doi.org/10.1364/OE.19.016542
Bobkov SA, Teslyuk AB, Kurta RP, Gorobtsov OY, Yefanov OM, Ilyin VA, Senin RA, Vartanyants IA (2015) Sorting algorithms for single-particle imaging experiments at X-ray free-electron lasers. J Synchrotron Radiat 22:1345–1352. https://doi.org/10.1107/S1600577515017348
Dempster AP, Laird NM, Rubin DB (1977) Maximum likelihood from incomplete data via the EM algorithm. J R Stat Soc. https://doi.org/10.1111/j.2517-6161.1977.tb01600.x
Fienup JR (1978) Reconstruction of an object from the modulus of its fourier transform. Opt Lett. https://doi.org/10.1364/ol.3.000027
Fienup JR (1982) Phase retrieval algorithms: a comparison. Appl Opt. https://doi.org/10.1364/ao.21.002758
Chen C-C, Jianwei Miao CWW, Lee TK (2007) Application of optimization technique to noncrystalline X-ray diffraction microscopy: guided hybrid input-output method. Phys Rev B. https://doi.org/10.1103/physrevb.76.064113
Marchesini S, He H, Chapman HN, Hau-Riege SP, Noy A, Howells MR, Weierstall U, Spence JCH (2003) X-ray image reconstruction from a diffraction pattern alone. Phys Rev B. https://doi.org/10.1103/physrevb.68.140101
Thibault P, Dierolf M, Bunk O, Menzel A, Pfeiffer F (2009) Probe retrieval in ptychographic coherent diffractive imaging. Ultramicroscopy 109:338–343. https://doi.org/10.1016/j.ultramic.2008.12.011
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Round, A. et al. (2024). Characterization of Biological Samples Using Ultra-Short and Ultra-Bright XFEL Pulses. In: Vega, M.C., Fernández, F.J. (eds) Advanced Technologies for Protein Complex Production and Characterization. Advances in Experimental Medicine and Biology, vol 1453. Springer, Cham. https://doi.org/10.1007/978-3-031-52193-5_10
Download citation
DOI: https://doi.org/10.1007/978-3-031-52193-5_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-52192-8
Online ISBN: 978-3-031-52193-5
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)