Abstract
X-ray crystallography of G protein-coupled receptors and other membrane proteins is hampered by difficulties associated with growing sufficiently large crystals that withstand radiation damage and yield high-resolution data at synchrotron sources. Here we used an x-ray free-electron laser (XFEL) with individual 50-fs duration x-ray pulses to minimize radiation damage and obtained a high-resolution room temperature structure of a human serotonin receptor using sub-10 µm microcrystals grown in a membrane mimetic matrix known as lipidic cubic phase. Compared to the structure solved by traditional microcrystallography from cryo-cooled crystals of about two orders of magnitude larger volume, the room temperature XFEL structure displays a distinct distribution of thermal motions and conformations of residues that likely more accurately represent the receptor structure and dynamics in a cellular environment.
G protein-coupled receptors (GPCRs) represent a highly diverse superfamily of eukaryotic membrane proteins that mediate cellular communication. In humans, about 800 GPCRs respond to a variety of extracellular signaling molecules and transmit signals inside the cell by coupling to heterotrimeric G proteins and other effectors. Their involvement in key physiological and sensory processes in humans makes GPCRs prominent drug targets. Despite the high biomedical relevance and decades of dedicated research, knowledge of the structural mechanisms of ligand recognition, receptor activation and signaling in this broad family remains limited. Challenges for GPCR structural studies include low expression yields, low receptor stability after detergent extraction from native membranes, and high conformational heterogeneity. Many years of developments aimed at receptor stabilization, crystallization and microcrystallography culminated in a series of breakthroughs in GPCR structural biology leading to the structure determination of 22 receptors, some of which were solved in several conformational states and one in complex with its G protein partner (1–5).
Nonetheless, crystallographic studies of GPCRs remain difficult, as many of them produce only microcrystals. Most GPCR structures to date have been obtained using crystallization from the membrane-mimetic environment of a lipidic cubic phase (LCP) (6, 7). LCP crystallization has proven successful for obtaining high-resolution structures of a variety of membrane proteins including ion channels, transporters, and enzymes, in addition to GPCRs (8, 9). This method leads to highly ordered crystals that are, however, often limited in size. Microfocus x-ray beams of high intensity (~109 photons/s/µm2) and long exposures (~5 s) are typically required to obtain sufficient intensity for high-resolution data from weakly diffracting microcrystals. The high radiation doses induce severe radiation damage and require merging data from multiple crystals to obtain complete datasets of sufficient quality. Accordingly, sub-10 µm GPCR crystals are currently not suitable for high-resolution data collection even at the most powerful synchrotron microfocus beamlines (7, 10).
Serial femtosecond crystallography (SFX) (11), which takes advantage of x-ray free-electron lasers (XFEL), has recently demonstrated great promise for obtaining room temperature high-resolution data from micrometer- and sub-micrometer size crystals of soluble proteins with minimal radiation damage (12, 13). The highly intense (~2 mJ, 1012 photons per pulse) and ultrashort (<50 fs) x-ray pulses produced by XFELs enable recording high-resolution diffraction snapshots from individual crystals at single orientations before their destruction. SFX data collection, therefore, relies on a continuous supply of small crystals intersecting the XFEL beam in random orientations, typically provided by a fast-running liquid microjet (12), which is incompatible with streaming highly viscous gel-like materials, such as LCP, and requires tens to hundreds milligrams of crystallized protein for data collection (11). For many membrane proteins, including most human membrane proteins, obtaining such quantities is not practical.
Here we have modified the SFX data collection approach (Fig. 1) and obtained a room-temperature GPCR structure at 2.8 Å resolution using only 300 µg of protein crystallized in LCP. SFX experiments were performed at the Coherent X-ray Imaging (CXI) instrument of the Linac Coherent Light Source (LCLS) (14). LCP-grown microcrystals (average size 5×5×5 µm3) (fig. S1) (15) of the human serotonin 5-HT2B receptor (16) bound to the agonist ergotamine were continuously delivered across a ~1.5 µm diameter XFEL beam, using a specially designed LCP injector. LCP with randomly distributed crystals was extruded through a 20–50 µm capillary into a vacuum chamber (10−4 Torr) at room temperature (21 °C) (17) and a constant flow-rate of 50 – 200 nL/min, and was stabilized by a co-axial flow of helium or nitrogen gas supplied at 300–500 psi. Single-pulse diffraction patterns (fig. S2) were recorded using 9.5 keV (1.3 Å) x-ray pulses of 50 fs duration at a 120 Hz repetition rate by a Cornell-SLAC pixel array detector (CSPAD) (18) positioned at a distance of 100 mm from the sample. The XFEL beam was attenuated to 3–6% to avoid detector saturation. The average x-ray pulse energy at the sample was 50 µJ (3·1010 photons/pulse), corresponding to a radiation dose of up to 25 MGy per crystal. A total of 4,217,508 diffraction patterns were collected within 10 h using ~100 µL of crystal-loaded LCP, corresponding to about 0.3 mg of protein. Of these patterns, 152,651 were identified as crystal hits (15 or more Bragg peaks) by the processing software Cheetah (19), corresponding to a hit rate of 3.6 %. Of these crystal hits, 32,819 patterns (21.5 %) were successfully indexed and integrated by CrystFEL (20) at 2.8 Å resolution (table S1). The structure was determined by molecular replacement and refined to Rwork/Rfree = 22.7%/27.0%. Overall, the final structure (fig. S3) has a well-defined density for most residues including the ligand ergotamine (fig. S4).
Fig. 1. Experimental setup for SFX data collection using an LCP injector.
5-HT2B receptor microcrystals (first zoom level) dispersed in LCP (second zoom level) are injected as a continuous column of 20–50 µm diameter inside a vacuum chamber and intersected with 1.5 µm diameter pulsed XFEL beam focused by Kirkpatrick-Baez (K-B) mirrors. Single pulse diffraction patterns are collected at 120 Hz using a CSPAD detector.
The XFEL structure of the 5-HT2B receptor/ergotamine complex (5-HT2B-XFEL) was compared to the recently published structure of the same receptor/ligand complex obtained by traditional microcrystallography at a synchrotron source (PDB ID: 4IB4; 5-HT2B-SYN) (21). Synchrotron data were collected at 100 K on cryo-cooled crystals of a much larger size (average volume ~104 µm3) than those used for the XFEL structure (average volume ~102 µm3) (fig. S1). Other differences between data collection protocols are listed in table S1. Both datasets were processed in the same spacegroup C2221, which is expected given the very similar crystallization conditions. However, the lattice parameters for the room temperature XFEL crystals are slightly longer in the a and b directions and slightly shorter in the c direction, resulting in a 2.1% larger unit cell volume. Concomitant with these lattice changes we observe a ~2.5° rotation of the BRIL fusion domain with respect to the receptor (fig. S5). Otherwise, the receptor domains of the 5-HT2B-XFEL and 5-HT2B-SYN structures are very similar (receptor Cα root mean square deviation (rmsd) = 0.45 Å, excluding flexible residues at the N-terminus, 48–51, and in the extracellular loop (ECL) 2, 195–205) (Fig. 2). The ligand ergotamine has indistinguishable electron density and placement (total ligand rmsd = 0.32 Å) in both structures (Fig. 2, fig. S4B). The largest backbone deviations are observed in the loop regions, especially in the stretch of ECL2 between helix IV and the Cys128 – Cys207 disulfide bond, which is apparently very flexible. An unexpected backbone deviation is observed at the extracellular tip of helix II (Fig. 2C), which adopts a regular α-helix in the 5-HT2B-XFEL structure with Thr114 forming a stabilizing hydrogen bond with the main chain hydroxyl of Ile110. In the 5-HT2B-SYN structure, however, a water stabilized kink is found at this location, which results in the two structures deviating by 2.0 Å (at Cα atom of Thr114) at the tip of helix II and up to 3.4 Å (at O atom of Phe117) in ECL1.
Fig. 2. Comparison between 5-HT2B-XFEL (light red) and 5-HT2B-SYN (cyan) structures.
Central image represents a backbone overlay of the two structures. Dashed lines correspond to membrane boundaries defined by the Orientation of Proteins in Membrane database (http://opm.pharm.umich.edu) (28). (A) Electron density for the Glu212 side chain is missing in 5-HT2B-SYN and fully resolved in 5-HT2B-XFEL. (B) A salt bridge between Glu319 and Lys247 links intracellular parts of helices V and VI in the 5-HT2B-XFEL structure. In the 5-HT2B-SYN structure Lys247 makes a hydrogen bond with Tyr1105 from the BRIL fusion protein. (C) Extracellular tip of helix II forms a regular helix in 5-HT2B-XFEL with Thr114 making a stabilizing hydrogen bond with the backbone carbonyl, while in 5-HT2B-SYN a water stabilized kink is introduced at this position. (D) Tyr87 forms a hydrogen bond with Asn90 in 5-HT2B-XFEL; this hydrogen bond is broken and Tyr87 adopts a different rotamer conformation in 5-HT2B-SYN structure. 2mFobs-Fcalc maps (contoured at 1 σ level) are shown only around described residues.
Although absolute B- (or temperature) factor values can be affected by errors associated with experimental conditions, their distribution generally represents the relative static and dynamic flexibility of the protein in the crystal (22). Since both structures were obtained from similar samples and at similar resolutions, we analyzed their B-factor distributions to study the effect of the different temperatures on the thermal motions of the receptor. The average B-factor for the receptor part in the room temperature 5-HT2B-XFEL structure (88.4 Å2) is 21 Å2 larger than that in the cryo 5-HT2B-SYN structure (67.2 Å2), consistent with larger thermal motions at higher temperature and possible effects of Bragg termination during the XFEL pulse (20). The distribution of B-factors highlights a more rigid core of the seven transmembrane helices in comparison to loops, with more pronounced B-factor deviations observed in the room temperature 5-HT2B-XFEL structure (Fig. 3, fig. S6). N-terminus, intracellular loop (ICL) 2, ECL1, and part of ECL2 between helix IV and the Cys128 – Cys207 disulfide bond show much larger deviations in B-factors (50–100 Å2) between the two structures compared to the average difference of 21 Å2. These parts of the structure are not involved in direct interactions with the ligand ergotamine, but their mobility may affect the kinetics of ligand binding and interactions with intracellular binding partners (23). In contrast, ICL1, part of ECL2 between the Cys128 – Cys207 disulfide bond and helix V, and ECL3 display just an average increase in the B-factors, suggesting that the relative range of their thermal fluctuations was adequately captured in the cryo structure. As previously established by cryocrystallography, one of the most pronounced differences between the two subtypes of serotonin receptors, 5-HT2B and 5-HT1B, occurs at the extracellular tip of helix V and ECL2, which forms an additional helical turn stabilized by a water molecule in 5-HT2B (21). This additional turn pulls the extracellular tip of helix V toward the center of the helical bundle, and was suggested to be responsible for the biased agonism of ergotamine at the 5-HT2B receptor. The 5-HT2B-XFEL structure confirms the rigid structured conformation of ECL2, stabilized by a comprehensive network of hydrogen bonds, involving residues Lys193, Glu196, Arg213, Asp216 and a lipid OLC (monoolein) (fig. S7), however, no ordered water molecule is observed, emphasizing that water is more disordered and probably does not play a substantial structural role at this location.
Fig. 3. Differences in B-factors between 5-HT2B-XFEL and 5-HT2B-SYN structures.
(A) B-factors difference (BXFEL-BSYN) for Cα atoms plotted vs. residue number. (B) View of the 5-HT2B-XFEL structure from the extracellular side and (C) in the lateral to membrane orientation. Structure in B and C is shown in putty representation and colored in rainbow colors by the Cα B-factors (range 60 – 170 Å2). Loops for which B-factors increased above average are labeled in red and those that have about an average increase are labeled in blue in (A) and (C). Helices are labeled in (B).
Several side chains have partly missing electron density in both room temperature and cryo structures (table S2). Such lack of density is most likely related to disorder of the corresponding side chains (such as residues at the N-terminus, ECL2 and ICL2) (Fig. 2A). Two disulfide bonds, Cys128 – Cys207 and Cys350 – Cys353, are intact and well resolved in both structures, however the B-factor increase in the 5-HT2B-XFEL structure compared to 5-HT2B-SYN for each of these disulfide bonds (11.1 Å2 and 5.7 Å2, respectively) is lower than the average B-factor increase (21 Å2). Several side chains have different rotamer conformations between the two structures (table S3, Fig. 2D), consistent with a partial remodeling of the side chain conformational distribution upon cryo-cooling observed in soluble proteins (24). Interestingly, several interactions involving charged residues appear stronger and better defined in 5-HT2B-XFEL compared to the 5-HT2B-SYN structure (table S4). This strengthening of the charged interactions at higher temperatures potentially can be explained by a decrease in the dielectric constant of water with temperature, reducing the de-solvation penalty (25, 26). In particularly, the salt bridge between Glu319 and Lys247 is well defined in the 5-HT2B-XFEL structure, but appears broken in the cryo 5-HT2B-SYN structure (Fig. 2B). Since GPCR activation has been associated with large-scale structural changes in the intracellular parts of helices V and VI, this salt bridge may play a role in the receptor function and is likely to be more accurately resolved and represented in the 5-HT2B-XFEL structure recorded at room temperature.
Overall, the observed differences likely originate from effects related to thermal motions, cryo-cooling (24) and radiation damage (27). Thus, the XFEL source enables access to a room temperature GPCR structure, which more accurately represents the conformational ensemble for this receptor under native conditions. Since dynamics are an integral part of GPCR biology, the use of SFX to accurately determine GPCR structural details at room temperature can make an important contribution to understanding the structure-function relationships in this superfamily.
Supplementary Material
Acknowledgements
Parts of this research were carried out at the LCLS, a National User Facility operated by Stanford University on behalf of the U.S. Department of Energy, Office of Basic Energy Sciences and at the GM/CA CAT of the Argonne Photon Source, Argonne National Laboratory. This work was supported by the National Institutes of Health Common Fund in Structural Biology grants P50 GM073197 (V.C. and R.C.S.), P50 GM073210 (M.C.), R01 GM095583 (P.F.); NIGMS PSI:Biology grants U54 GM094618 (V.C., V.K. and R.C.S.), U54 GM094599 (P.F.) and NSF STC award 1231306 (J.C.H.S.). We further acknowledge support from the Helmholz Association, the German Research Foundation (DFG), and the German Federal Ministry of Education and Research (BMBF) (H.N.C.), and from Science Foundation Ireland (07/IN.1/B1836, 12/IA/1255) (M.C.).
Special thanks to G. M. Stewart, T. Anderson, and SLAC Infomedia and K. Kadyshevskaya from TSRI for preparing Fig. 1, T. Trinh and M. Chu for help with baculovirus expression, H. Liu and M. Klinker for help with data processing, A. Walker for assistance with manuscript preparation, and I. Wilson for reviewing the manuscript.
Coordinates and the structure factors have been deposited in the Protein Data Bank under the accession code 4NC3. The diffraction patterns have been deposited in the Coherent X-ray Imaging Data Bank cxidb.org under the accession code ID-21.
Footnotes
Author contributions:
W.L. developed protocols of producing high density microcrystals in LCP, prepared samples, helped with testing LCP injector, data collection and writing the paper.
Da.W. prepared 5-HT2B microcrystals in LCP, helped with data collection, structure refinement, analysis and writing the paper.
C.G. participated in data collection, processed and analyzed data.
G.W.H. performed structure refinement.
D.J., Di.W. and G.N. helped develop and operate the LCP injector.
U.W. conceived, designed and developed the LCP injector.
V.K. analyzed the results and helped with writing the paper.
A.B. participated in data collection, wrote data processing software and helped with data processing and with writing the paper.
N.A.Z., Sh.B. participated in data collection, helped with data processing
D.L. helped with data collection.
Se.B., M.M., G.J.W., J.E.K., M.M.S. setup the x-ray FEL experiment, beamline, controls and data acquisition, operated the CXI beamline and performed the data collection.
C.W. helped with sample preparation.
S.T.A.S. synthesized and purified 7.9 MAG.
R.F., C.K., K.N.R., I.G. participated in data collection and contributed to sample characterization.
P.F. was involved in the initiation and planning of the experiments, assisted with sample characterization, data collection and contributed to writing the paper.
R.A.K. developed the Monte Carlo integration method, contributed to data processing.
K.R.B. contributed to software development and data processing.
T.A.W. developed the Monte Carlo integration method, wrote data processing software, contributed to data processing.
H.N.C. supervised software development and data processing, helped with writing the paper.
M.C. provided the 7.9 MAG, helped with data collection and with writing the paper.
J.C.H.S. helped develop the LCP injector and developed the Monte Carlo integration method with R.A.K.
R.C.S. supervised GPCR production and contributed to writing the paper.
V.C. conceived the project, designed the experiments, supervised data collection, performed structure refinement, analyzed the results and wrote the paper.
References and Notes
- 1.Cherezov V, et al. High-resolution crystal structure of an engineered human beta2-adrenergic G protein-coupled receptor. Science. 2007;318:1258–1265. doi: 10.1126/science.1150577. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 2.Rasmussen SG, et al. Crystal structure of the beta(2) adrenergic receptor-Gs protein complex. Nature. 2011;469:175–180. doi: 10.1038/nature10361. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 3.Katritch V, Cherezov V, Stevens RC. Structure-function of the G protein-coupled receptor superfamily. Ann. Rev. Pharmacol Toxicol. 2013;53:531–556. doi: 10.1146/annurev-pharmtox-032112-135923. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 4.Venkatakrishnan AJ, et al. Molecular signatures of G-protein-coupled receptors. Nature. 2013;494:185–194. doi: 10.1038/nature11896. [DOI] [PubMed] [Google Scholar]
- 5.Audet M, Bouvier M. Restructuring G-protein- coupled receptor activation. Cell. 2012;151:14–23. doi: 10.1016/j.cell.2012.09.003. [DOI] [PubMed] [Google Scholar]
- 6.Landau EM, Rosenbusch JP. Lipidic cubic phases: a novel concept for the crystallization of membrane proteins. Proc. Natl. Acad. Sci. U.S.A. 1996;93:14532–14535. doi: 10.1073/pnas.93.25.14532. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 7.Caffrey M, Cherezov V. Crystallizing membrane proteins using lipidic mesophases. Nat. Protoc. 2009;4:706–731. doi: 10.1038/nprot.2009.31. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 8.Cherezov V. Lipidic cubic phase technologies for membrane protein structural studies. Curr. Opin. Struct. Biol. 2011;21:559–566. doi: 10.1016/j.sbi.2011.06.007. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 9.Caffrey M, Li D, Dukkipati A. Membrane protein structure determination using crystallography and lipidic mesophases: recent advances and successes. Biochemistry. 2012;51:6266–6288. doi: 10.1021/bi300010w. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 10.Smith JL, Fischetti RF, Yamamoto M. Micro-crystallography comes of age. Curr. Opin. Struct. Biol. 2012;22:602–612. doi: 10.1016/j.sbi.2012.09.001. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 11.Chapman HN, et al. Femtosecond X-ray protein nanocrystallography. Nature. 2011;470:73–77. doi: 10.1038/nature09750. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 12.Boutet S, et al. High-resolution protein structure determination by serial femtosecond crystallography. Science. 2012;337:362–364. doi: 10.1126/science.1217737. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 13.Redecke L, et al. Natively inhibited Trypanosoma brucei cathepsin B structure determined by using an X-ray laser. Science. 2013;339:227–230. doi: 10.1126/science.1229663. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 14.Boutet S, Williams GJ. The Coherent X-ray Imaging (CXI) instrument at the Linac Coherent Light Source (LCLS) New J. Phys. 2010;12 035024. [Google Scholar]
- 15.Materials and Methods are available as supplementary materials on Science Online.
- 16.The engineered for crystallization construct is based on the sequence of the human 5-HT2B receptor with the following modifications: (a) Residues Tyr249-Val313 within ICL3 were replaced with Ala1-Leu106 of thermostabilized apo cytochrome b562 RIL (BRIL), (b) N-terminal residues 1–35 and C-terminal residues 406–481 were truncated, and (c) a thermostabilizing M144W mutation was introduced.
- 17.294 K (21 °C) refers to the temperature measured in the CXI hutch during the experiments. The actual crystal temperature was likely a few degrees lower due to the evaporative cooling upon injection of crystal-loaded LCP in vacuum.
- 18.Hart P, et al. The CSPAD megapixel x-ray camera at LCLS. Proc. SPIE. 2012;8504:85040C. [Google Scholar]
- 19.White TA, et al. Crystallographic data processing for free-electron laser sources. Acta Crystallogr D. 2013;69:1231–1240. doi: 10.1107/S0907444913013620. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 20.Barty A, et al. Self-terminating diffraction gates femtosecond X-ray nanocrystallography measurements. Nat. Photonics. 2012;6:35–40. doi: 10.1038/nphoton.2011.297. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 21.Wacker D, et al. Structural features for functional selectivity at serotonin receptors. Science. 2013;340:615–619. doi: 10.1126/science.1232808. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 22.Willis BTM, Pryor AW. Thermal Vibrations in Crystallography. London: Cambridge University Press; 1975. [Google Scholar]
- 23.Pan AC, Borhani DW, Dror RO, Shaw DE. Molecular determinants of drug-receptor binding kinetics. Drug Disc. Today. 2013;18:667–673. doi: 10.1016/j.drudis.2013.02.007. [DOI] [PubMed] [Google Scholar]
- 24.Fraser JS, et al. Accessing protein conformational ensembles using room-temperature X-ray crystallography. Proc. Natl. Acad. Sci. U.S.A. 2011;108:16247–16252. doi: 10.1073/pnas.1111325108. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 25.Elcock AH. The stability of salt bridges at high temperatures: implications for hyperthermophilic proteins. J. Mol. Biol. 1998;284:489–502. doi: 10.1006/jmbi.1998.2159. [DOI] [PubMed] [Google Scholar]
- 26.Kumar S, Nussinov R. Close-range electrostatic interactions in proteins. Chembiochem. 2002;3:604–617. doi: 10.1002/1439-7633(20020703)3:7<604::AID-CBIC604>3.0.CO;2-X. [DOI] [PubMed] [Google Scholar]
- 27.Garman EF. Radiation damage in macromolecular crystallography: what is it and why should we care? Acta Crystallogr. D. 2010;66:339–351. doi: 10.1107/S0907444910008656. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 28.Lomize MA, Lomize AL, Pogozheva ID, Mosberg HI. OPM: orientations of proteins in membranes database. Bioinformatics. 2006;22:623–625. doi: 10.1093/bioinformatics/btk023. [DOI] [PubMed] [Google Scholar]
- 29.Cherezov V, Peddi A, Muthusubramaniam L, Zheng YF, Caffrey M. A robotic system for crystallizing membrane and soluble proteins in lipidic mesophases. Acta Crystallogr D. 2004;60:1795–1807. doi: 10.1107/S0907444904019109. [DOI] [PubMed] [Google Scholar]
- 30.Cheng A, Hummel B, Qiu H, Caffrey M. A simple mechanical mixer for small viscous lipid-containing samples. Chem. Phys. Lipids. 1998;95:11–21. doi: 10.1016/s0009-3084(98)00060-7. [DOI] [PubMed] [Google Scholar]
- 31.Misquitta Y, et al. Rational design of lipid for membrane protein crystallization. J. Struct. Biol. 2004;148:169–175. doi: 10.1016/j.jsb.2004.06.008. [DOI] [PubMed] [Google Scholar]
- 32.Qiu H, Caffrey M. The phase diagram of the monoolein/water system: metastability and equilibrium aspects. Biomaterials. 2000;21:223–234. doi: 10.1016/s0142-9612(99)00126-x. [DOI] [PubMed] [Google Scholar]
- 33.Kissick DJ, Gualtieri EJ, Simpson GJ, Cherezov V. Nonlinear optical imaging of integral membrane protein crystals in lipidic mesophases. Anal. Chem. 2010;82:491–497. doi: 10.1021/ac902139w. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 34.Siewert F, et al. Ultra-precise characterization of LCLS hard X-ray focusing mirrors by high resolution slope measuring deflectometry. Optics Express. 2012;20:4525–4536. doi: 10.1364/OE.20.004525. [DOI] [PubMed] [Google Scholar]
- 35.Leslie AG, Powell HR. In: Evolving Methods for Macromolecular Crystallography. Read RJ, Sussman JL, editors. Dordrecht, The Netherlands: Springer; 2007. pp. 41–51. [Google Scholar]
- 36.Duisenberg AJM. Indexing in single-crystal diffractometry with an obstinate list of reflections. J. Appl. Cryst. 1992;25:92–96. [Google Scholar]
- 37.Kirian RA, et al. Structure-factor analysis of femtosecond microdiffraction patterns from protein nanocrystals. Acta Crystallogr. A. 2011;67:131–140. doi: 10.1107/S0108767310050981. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 38.Karplus PA, Diederichs K. Linking crystallographic model and data quality. Science. 2012;336:1030–1033. doi: 10.1126/science.1218231. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 39.McCoy AJ, et al. Phaser crystallographic software. J. Appl. Crystallogr. 2007;40:658–674. doi: 10.1107/S0021889807021206. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 40.Adams PD, et al. PHENIX: a comprehensive Python-based system for macromolecular structure solution. Acta Crystallogr. D. 2010;66:213–221. doi: 10.1107/S0907444909052925. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 41.Emsley P, Lohkamp B, Scott WG, Cowtan K. Features and development of Coot. Acta Crystallogr D. 2010;66:486–501. doi: 10.1107/S0907444910007493. [DOI] [PMC free article] [PubMed] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.