Estimation of the Quality of Refined Protein Crystal Structures Jimin Wang Supplementary text (1 paragraph, 7 tables, and 16 references) All analysis was carried out using the data retrieved in April, 2014. References for entries enlisted in Table 4 with very high <I/I> values in the highest resolution shells are as follows: 2IQ0,1 3VI1,2 1A7E,3 1A7D,3 1COB,4 1RTA,5 1LNZ,6 1DTM,7 2ZRS,8 2F3G,9 1DUO,7 1DUK,7 2ABH,10 2ISF,1 2ZRT,8 1GQ3,11 1CRB,12 and 3W55.13 It is almost certain that not all these entries resulted from clerical errors. Even so, it is not excusable, especially for making multiple clerical errors from the same laboratory. For example, Rwork was reported to be 0.05 for 2IUJ at a resolution of 2.4 Å and Rwork was 0.055 for 2J3J at a resolution of 2.8 Å, both of which are statistically impossible without some kind of statistical gaming.14,15 Other such entries include 1XZD with Rwork of 0.099 at a resolution of 2.70 Å.16 Supplemental Tables Table SI. Solvent Contents for Macromolecular Crystalsa Space group Percentage(%) Solvent Content(%) All 100.0 50.28.6 P212121 23.0 48.28.5 P21 15.4 47.18.0 C2 9.6 50.79.0 P21212 5.7 49.58.0 C2221 4.9 52.89.2 P1 4.6 47.88.1 P43212 3.7 51.710.4 P3221 3.3 56.09.3 P41212 3.2 55.110.4 P3121 3.2 56.610.8 I222 2.1 54.49.8 P6122 1.7 56.69.4 H32 1.5 H3 1.5 P6522 1.3 57.49.7 P61 1.1 P65 1.0 5-Å resolution or lower 0.18 70.29.9 4-Å resolution or lower 0.57 67.610.3 3.5-Å resolution or lower 1.81 65.210.1 3.2-Å resolution or lower 4.08 62.810.2 3-Å resolution or lower 7.54 60.89.9 1-Å resolution or higher 0.65 39.09.2 Footnotes: a No attempt was made to correct assignment errors of space groups. 2 Table SII. Lattice system distribution Lattice systems Percentage (%) Triclinic 4.6 Monoclinic 25.3 Orthorhombic 36.4 Tetragonal 12.4 Rhombohedral 3.0 Hexagonal/Trigonal 16.5 Cubic 2.0 Primitive 76.4 C-centered 14.7 I-centered 5.42 F-centered 0.50 Table SIII. Solvent Contents for Macromolecular Crystals in Point-Symmetry Groups Space group Percentage(%) Solvent Content(%) P1 76.4 47.88.1 P2 3.17 49.97.4 P3 3.19 52.49.1 P4 1.76 53.68.4 P6 4.58 57.87.5 P222 0.22 56.09.2 P312 0.28 56.09.6 P321 6.46 58.09.7 P422 0.83 57.47.7 P622 1.41 59.99.3 P23 0.98 60.69.3 P432 0.73 60.28.3 Subtotal 5,326 entries I222 73.1 54.59.8 I422 22.8 57.39.3 I432 4.07 60.77.3 Subtotal 2,570 entries F222 39.2 54.910.0 F432 60.8 61.17.1 Subtotal 297 entries 3 Table SIV. Selected P212121 entries with very large <I/I> values at their highest resolution shells. Accession 2IQ0 3VI1 1A7E 1A7D 1COB 1RTA 1LNZ 1DTM 2ZRS 2F3G 1DUO 1DUK 2ABH 2ISF 2ZRT 1GQ3 1CRB 3W55 2NYX 2VRC 1LTS 3JYY 4ITD 2VVK 1Y97 2E5V 2ZC0 2LZH 3BDB 3CZC 2W3D 1XNI Resolution (Å) 1.95 2.00 1.74 1.74 2.03 2.50 2.60 2.13 3.10 2.13 1.96 2.13 1.67 2.00 3.30 2.01 2.15 3.00 2.30 2.50 1.94 1.90 1.94 1.60 2.50 2.09 2.30 5.91 2.81 2.02 2.00 2.80 <I/I> 810.147 790.842 641.941 610.056 577.711 364.000 322.826 283.104 278.470 245.330 171.612 160.688 140.621 100.740 99.500 98.082 91.888 91.719 91.355 85.871 81.188 79.993 76.308 74.406 72.981 66.044 63.687 61.454 61.400 53.000 52.561 51.705 4 Table SV. Original structure factors for the selected P212121 entries with very large <I/I> values at their highest resolution shells (continuous double columns for the entire table)a. __________________________________________________________________________________________________________ 2IQ0: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au 1 1 1 22 0 0 o 387.73 1 1 1 24 0 0 o 276.25 1 1 1 19 1 0 o 452.95 1 1 1 20 1 0 o 65.83 1 1 1 21 1 0 o 326.88 1 1 1 22 1 0 o 231.71 1 1 1 23 1 0 o 341.97 1 1 1 3 2 0 f 260.88 1 1 1 4 2 0 o 108.40 1 1 1 5 2 0 o 1030.64 3VI1: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au _refln.F_calc _refln.phase_calc _refln.fom 1 1 1 4 0 0 x 1 1 1 6 0 0 x 1 1 1 8 0 0 o 1 1 1 10 0 0 o 1 1 1 12 0 0 x ? ? 318.4 161.9 ? 0.05 0.07 0.05 0.40 0.07 0.05 0.04 0.05 0.07 0.07 2F3G: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au 1 1 1 0 0 2 o 1 1 1 0 0 3 o 1 1 1 0 0 4 o 1 1 1 0 0 5 o 1 1 1 0 0 6 o 1 1 1 0 0 7 o 1 1 1 0 0 8 o 1 1 1 0 0 9 o 1 1 1 0 0 12 o 1 1 1 0 0 13 o 0.0 128.0 404.0 88.0 981.0 176.0 1513.0 88.0 692.0 172.0 1.0 0.6 0.3 2.2 0.3 1.5 0.3 3.9 0.6 3.0 ? ? 1.2 4.4 ? 1DUO: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au 1 1 1 0 0 4 o 1 1 1 0 0 6 o 1 1 1 0 0 8 o 1 1 1 0 0 10 o 1 1 1 0 0 12 o 1 1 1 0 0 14 o 1 1 1 0 0 16 o 1 1 1 0 0 18 o 4910.000 6057.000 1618.000 1864.000 3068.000 3064.000 1944.000 8342.000 0.700 0.800 0.500 0.600 0.600 0.700 0.800 0.700 5377.7 6122.5 1797.9 612.3 328.3 180.0 360.0 180.0 0.0 180.0 0.00 0.00 0.99 0.66 0.00 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 14 16 18 20 22 0 0 0 0 0 0 0 0 0 0 o x x x o 0.1 ? ? ? 2205.7 1A7E: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au _refln.phase_meas _refln.weight 1 1 1 6 0 0 o 9889.628 1 1 1 8 0 0 o 1508.128 1 1 1 10 0 0 o 690.503 1 1 1 12 0 0 f 4271.080 1 1 1 14 0 0 f 1831.316 1 1 1 16 0 0 o 1754.869 1 1 1 18 0 0 o 5400.063 1 1 1 22 0 0 o 855.831 1 1 1 5 1 0 o 1571.423 1 1 1 6 1 0 o 4063.078 1A7D: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au _refln.phase_meas _refln.weight 1 1 1 6 0 0 o 8614.116 1 1 1 8 0 0 o 1344.299 1 1 1 10 0 0 o 446.748 1 1 1 12 0 0 f 4507.882 199.3 ? ? ? 1.1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 379.6 168.1 343.9 424.1 1786.4 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 360.0 180.0 180.0 0.0 180.0 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.00 0.00 0.00 0.00 1.00 1 1 1 1 1 1 0 0 0 0 20 22 o 1811.000 o 1258.000 0.700 1.500 1DUK: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au 1 1 1 0 0 4 o 1 1 1 0 0 6 o 1 1 1 0 0 8 o 1 1 1 0 0 10 o 1 1 1 0 0 12 o 1 1 1 0 0 14 o 1 1 1 0 0 16 o 1 1 1 0 0 18 o 1 1 1 0 0 20 o 1 1 1 0 0 22 o 3972.000 4557.000 1522.000 1784.000 2352.000 2722.000 1959.000 6555.000 1263.000 411.000 2ABH: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au 1 1 1 4 0 0 o 1 1 1 6 0 0 o 1 1 1 8 0 0 o 1 1 1 10 0 0 o 1 1 1 12 0 0 o 1 1 1 14 0 0 o 1 1 1 16 0 0 o 1 1 1 18 0 0 o 1 1 1 20 0 0 o 1 1 1 3 1 0 o 377.50311 0.04765 250.38260 0.07148 88.39870 0.09531 622.85602 0.11913 239.77199 0.14296 177.62421 0.16679 54.49990 0.19061 142.55411 0.21444 84.74700 0.23827 187.75250 0.03658 6 0.500 0.700 0.700 0.800 0.800 0.800 1.200 1.000 2.600 7.200 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 14 16 18 20 22 0 0 0 0 0 0 0 0 0 0 o f o o o 1350.233 2239.096 6531.295 519.671 1707.239 1COB: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au 1 1 1 0 0 4 o 1 1 1 0 0 8 o 1 1 1 0 0 12 o 1 1 1 0 1 5 o 1 1 1 0 1 6 o 1 1 1 0 1 7 o 1 1 1 0 1 8 o 1 1 1 0 1 10 o 1 1 1 0 1 11 o 1 1 1 0 1 12 o 1 1 1 0 1 13 o 1 1 1 0 1 14 o 1 1 1 0 1 15 o 1RTA: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au 1 1 1 0 0 2 o 1 1 1 0 0 4 o 1 1 1 0 0 6 o 1 1 1 0 0 8 o 1 1 1 0 0 10 o 274.200 34.300 426.700 548.300 860.800 398.500 799.100 434.200 451.600 816.100 271.200 692.100 779.400 1.000 1.000 1.000 1.000 1.000 0.000 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.200 2.381 -0.009 2.361 -0.009 10.731 0.029 5.067 0.003 3.428 -0.004 0.000 0.000 0.000 0.000 0.000 1.000 1.000 1.000 1.000 1.000 2ISF: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au 1 1 1 2 0 0 o 1 1 1 6 0 0 o 1 1 1 8 0 0 o 1 1 1 10 0 0 o 1 1 1 12 0 0 o 1 1 1 14 0 0 o 1 1 1 18 0 0 o 1 1 1 20 0 0 o 1 1 1 2 1 0 o 1 1 1 3 1 0 o 112.10 71.11 53.82 55.79 29.39 24.82 66.61 46.52 5.01 138.28 0.03 0.02 0.02 0.02 0.06 0.09 0.03 0.05 0.28 0.01 2ZRT: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au _refln.F_calc _refln.phase_calc _refln.fom 1 1 1 0 0 2 o 1 1 1 0 0 4 o 1 1 1 0 0 6 o 1 1 1 0 0 8 o 1 1 1 0 0 10 o 1 1 1 0 0 12 o 1 1 1 0 0 14 o 1 1 1 0 0 16 o 1 1 1 0 0 18 o 1 1 1 0 0 20 o 2452.4 2483.8 350.0 304.4 1709.5 1247.7 139.2 1195.4 822.9 130.0 1.1 1.1 0.9 1.1 1.1 0.6 0.0 1.1 1.0 0.8 7 4019.9 41350.7 2224.7 2171.3 2960.2 4164.0 988.6 2183.5 3014.1 103.7 180.0 0.0 180.0 0.0 0.0 0.0 180.0 0.0 180.0 0.0 1.00 1.00 0.08 0.33 1.00 0.99 0.06 0.99 0.91 0.08 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 16 2 3 4 5 o o o o o 1LNZ: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au 1 1 1 0 0 8 o 1 1 1 0 0 10 o 1 1 1 0 0 12 o 1 1 1 0 0 14 o 1 1 1 0 0 16 o 1 1 1 0 0 18 o 1 1 1 0 0 20 o 1 1 1 0 0 22 o 1 1 1 0 0 24 o 1 1 1 0 0 26 o 1DTM: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au 1 1 1 0 0 6 o 1 1 1 0 0 8 o 1 1 1 0 0 10 o 1 1 1 0 0 12 o 1 1 1 0 0 14 o 1 1 1 0 0 16 o 1 1 1 0 0 18 o 1 1 1 0 0 20 o 3.503 -0.004 6.136 0.008 5.138 0.004 5.406 0.005 5.951 0.007 144.1 1192.9 432.1 1016.0 530.4 695.6 849.9 258.3 167.4 733.1 7356.000 1583.000 2631.000 3084.000 3524.000 1333.000 9862.000 2435.000 0.51 1.00 1.00 1.00 1.00 1.00 1.00 0.80 0.41 0.02 1.000 0.300 0.400 0.500 0.600 0.500 0.900 0.400 1GQ3: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au 1 1 1 0 0 46 o 35.86 1 1 1 0 0 48 o 484.75 1 1 1 0 0 50 o 783.85 1 1 1 0 0 54 o 665.94 1 1 1 0 0 56 o 967.96 1 1 1 0 0 58 o 425.74 1 1 1 0 0 60 o 420.77 1 1 1 0 0 62 o 1304.05 1 1 1 0 0 64 o 366.54 1 1 1 0 0 66 o 325.61 0.03 0.79 0.84 0.85 0.90 0.82 0.86 0.90 0.90 0.78 1CRB: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au 1 1 1 12 0 0 o 1 1 1 14 0 0 o 1 1 1 16 0 0 o 1 1 1 18 0 0 o 1 1 1 4 1 0 o 1 1 1 5 1 0 o 1 1 1 6 1 0 o 1 1 1 7 1 0 o 1 1 1 8 1 0 o 1 1 1 9 1 0 o 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 3W55: loop_ _refln.crystal_id 8 467.070 170.320 112.850 417.240 458.590 146.750 91.450 414.920 198.170 643.660 1 1 1 1 1 1 0 0 0 0 22 24 o 2306.000 o 970.000 0.400 1.100 _refln.wavelength_id _refln.scale_group_code _refln.index_h _refln.index_k _refln.index_l _refln.status _refln.F_meas_au _refln.F_meas_sigma_au 1 1 1 0 0 6 o 353.00 1 1 1 0 0 8 o 304.00 1 1 1 0 0 10 o 639.00 1 1 1 0 0 12 f 41.00 1 1 1 0 0 14 o 1017.00 1 1 1 0 0 16 o 736.00 1 1 1 0 0 18 f 162.00 1 1 1 0 0 20 o 171.00 1 1 1 0 0 22 f 254.00 1 1 1 0 0 24 o 193.00 2ZRS: loop_ _refln.crystal_id _refln.wavelength_id _refln.scale_group_code _refln.index_h 0.80 _refln.index_k 0.60 _refln.index_l 0.20 _refln.status 0.50 _refln.F_meas_au 0.00 _refln.F_meas_sigma_au 0.70 _refln.F_calc 0.30 _refln.phase_calc 0.20 _refln.fom 0.50 1 1 1 0 0 4 o 5453.9 0.9 46470.0 0.0 1.00 0.10 1 1 1 0 0 6 o 2811.9 0.9 12329.6 0.0 1.00 1 1 1 0 0 8 o 3653.5 0.9 11131.2 180.0 1.00 1 1 1 0 0 10 o 4019.0 0.9 10444.8 0.0 1.00 1 1 1 0 0 12 o 2430.7 0.9 6996.3 0.0 1.00 1 1 1 0 0 14 o 379.2 0.5 1306.2 180.0 0.13 1 1 1 0 0 16 o 2657.4 0.9 7085.0 180.0 1.00 1 1 1 0 0 18 o 622.5 0.9 1550.2 180.0 0.06 1 1 1 0 0 20 o 1307.1 0.9 2558.0 180.0 1.00 1 1 1 0 0 22 o 531.1 0.8 339.4 180.0 0.02 ____________________________________________________________________________________________________________________________________ Footnotes: a In these selected entries, each file includes about the first 10 to 12 reflections to demonstrate some unusual features in the standard deviations of measured amplitudes: (i) a single uniformed number, (ii) two, three or a few variations only, (iii) different significant decimals from amplitudes, and; (iv) negative numbers.. Entries without observed deviations cannot be analyzed and are thus rejected. 9 Table SVI. The low-resolution cut-off among all P212121 entries analyzed in the PDB. Low resolution cut-off 8.0 Å 7.0 Å 6.0 Å 5.0 Å Number (percentage) 777 (5.1%) 286 (1.8%) 189 (1.2%) 32 (0.2%) 10 Table SVII. Selected P212121 entries with very small free and working R-factor differences Accession 1CXE 1D8F 1D7X 4A9V 1SRP 2B12 297D 2W6E 3UYN 1U93 4AR2 2W6F 1CVY 1FVT 1PIO 1SQT 1US8 1XB4 1ZCD 2QPY 2YWW 3IDJ 3NTT 3TMT 1KAQ 1N8E 1ZS8 2ATO 2OF2 2W6I 4BFH 1P5W 1X36 1XPB 3G2A 1E7O 1HAZ 1L8V 1UCD 1XOW 1XXI 1Y2F 2OXS 2RI7 2ZZQ 3IDG 3UI4 1E6G 1GCI 1U8O 2VPW 2VPZ 2ZTN 3AKQ 3E21 3K59 3UT8 Resolution (Å) 2.10 2.40 2.00 1.10 2.00 3.02 2.50 6.50 2.60 2.37 3.80 6.00 2.15 2.20 2.80 1.90 2.10 3.10 3.45 2.50 2.00 2.24 3.45 2.00 3.20 4.50 3.00 2.00 2.00 4.00 1.25 3.30 2.70 1.90 2.00 3.20 1.40 2.80 1.30 1.80 4.10 2.00 1.32 1.45 3.81 1.86 0.80 2.30 0.78 3.02 3.10 2.40 3.56 0.97 1.73 1.92 2.17 Rworking 0.153 0.294 0.262 0.137 0.193 0.277 0.221 0.290 0.206 0.238 0.280 0.345 0.229 0.232 0.189 0.236 0.219 0.327 0.316 0.269 0.226 0.229 0.252 0.295 0.279 0.415 0.307 0.197 0.260 0.299 0.158 0.200 0.245 0.156 0.239 0.234 0.199 0.290 0.200 0.210 0.366 0.225 0.155 0.189 0.242 0.224 0.095 0.267 0.099 0.211 0.271 0.249 0.305 0.200 0.218 0.198 0.223 -0.042 -0.035 -0.019 -0.009 -0.009 -0.005 -0.005 -0.005 -0.003 -0.002 -0.002 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001 0.001 0.001 0.001 0.001 0.001 0.001 0.002 0.002 0.002 0.002 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.003 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004 0.004 Rfree 0.100 0.252 0.227 0.117 0.184 0.268 0.216 0.285 0.201 0.235 0.278 0.343 0.229 0.232 0.189 0.236 0.219 0.327 0.316 0.269 0.226 0.229 0.252 0.295 0.280 0.416 0.308 0.198 0.261 0.300 0.159 0.202 0.247 0.158 0.241 0.237 0.202 0.293 0.203 0.213 0.369 0.228 0.158 0.192 0.245 0.227 0.098 0.271 0.103 0.215 0.275 0.253 0.309 0.204 0.222 0.202 0.227 11 References 1. 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