#------------------------------------------------------------------------------ #$Date: 2021-05-18 17:36:50 +0100 (Tue, 18 May 2021) $ #$Revision: 265307 $ #$URL: svn://www.crystallography.net/cod/cif/3/00/01/3000113.cif $ #------------------------------------------------------------------------------ # # This file is available in the Crystallography Open Database (COD), # http://www.crystallography.net/ # # All data on this site have been placed in the public domain by the # contributors. # data_3000113 loop_ _publ_author_name 'Bubnova, Rimma' 'Volkov, Sergey' 'Barbara Albert' 'Filatov, Stanislav' _publ_section_title ; Borates--Crystal Structures of Prospective Nonlinear Optical Materials: High Anisotropy of the Thermal Expansion Caused by Anharmonic Atomic Vibrations ; _journal_issue 3 _journal_name_full Crystals _journal_page_first 93 _journal_paper_doi 10.3390/cryst7030093 _journal_volume 7 _journal_year 2017 _chemical_formula_sum 'Al2 B2 K2 O7' _chemical_formula_weight 265.8 _space_group_IT_number 150 _symmetry_cell_setting trigonal _symmetry_Int_Tables_number 150 _symmetry_space_group_name_Hall 'P 3 2"' _symmetry_space_group_name_H-M 'P 3 2 1' _cell_angle_alpha 90 _cell_angle_beta 90 _cell_angle_gamma 120 _cell_formula_units_Z 3 _cell_length_a 8.5987(13) _cell_length_b 8.5987(13) _cell_length_c 8.5052(15) _cell_measurement_temperature 348 _cell_volume 544.60(15) _diffrn_ambient_temperature 348 _diffrn_measured_fraction_theta_full 0.99 _diffrn_measured_fraction_theta_max 0.99 _diffrn_measurement_device 'four-circle diffractometer' _diffrn_measurement_device_type 'IPDS Stoe' _diffrn_measurement_method '??integration method??' _diffrn_radiation_monochromator graphite _diffrn_radiation_probe x-ray _diffrn_radiation_source 'X-ray tube' _diffrn_radiation_type 'Mo K\a' _diffrn_radiation_wavelength 0.71073 _diffrn_reflns_av_R_equivalents 0.0466 _diffrn_reflns_av_unetI/netI 0.0239 _diffrn_reflns_limit_h_max 11 _diffrn_reflns_limit_h_min -11 _diffrn_reflns_limit_k_max 11 _diffrn_reflns_limit_k_min -11 _diffrn_reflns_limit_l_max 11 _diffrn_reflns_limit_l_min -11 _diffrn_reflns_number 5176 _diffrn_reflns_theta_full 29.24 _diffrn_reflns_theta_max 29.24 _diffrn_reflns_theta_min 2.39 _exptl_absorpt_coefficient_mu 1.542 _exptl_crystal_density_diffrn 2.4311 _exptl_crystal_F_000 390 _refine_diff_density_max 0.19 _refine_diff_density_min -0.26 _refine_ls_abs_structure_details ' 405 of Friedel pairs used in the refinement' _refine_ls_extinction_coef 1200(300) _refine_ls_extinction_method 'B-C type 1 Gaussian isotropic (Becker & Coppens, 1974)' _refine_ls_goodness_of_fit_gt 1.23 _refine_ls_goodness_of_fit_ref 1.19 _refine_ls_number_constraints 0 _refine_ls_number_parameters 63 _refine_ls_number_reflns 998 _refine_ls_number_restraints 0 _refine_ls_R_factor_all 0.0313 _refine_ls_R_factor_gt 0.0252 _refine_ls_shift/su_max 0.0362 _refine_ls_shift/su_mean 0.0107 _refine_ls_structure_factor_coef F _refine_ls_weighting_details w=1/(\s^2^(F)+0.0001F^2^) _refine_ls_weighting_scheme sigma _refine_ls_wR_factor_gt 0.0229 _refine_ls_wR_factor_ref 0.0237 _reflns_number_gt 877 _reflns_number_total 998 _reflns_threshold_expression I>3\s(I) _cod_data_source_file K2Al2B2O7_348K.cif _cod_data_source_block I _cod_depositor_comments ; The following automatic conversions were performed: '_diffrn_radiation_probe' value 'X-ray' changed to 'x-ray' according to the built-in table from CIF Core dictionary named 'cif_core.dic' version 2.4.1 from 2010-06-29. Automatic conversion script Id: cif_fix_values 4624 2016-04-14 12:54:50Z antanas Released structure into public domain as published material. Antanas Vaitkus, 2021-05-18 ; _cod_original_sg_symbol_Hall 'P 3;2"' _cod_database_code 3000113 loop_ _space_group_symop_id _space_group_symop_operation_xyz 1 x,y,z 2 -y,x-y,z 3 -x+y,-x,z 4 y,x,-z 5 x-y,-y,-z 6 -x,-x+y,-z loop_ _atom_site_label _atom_site_type_symbol _atom_site_fract_x _atom_site_fract_y _atom_site_fract_z _atom_site_adp_type _atom_site_U_iso_or_equiv _atom_site_site_symmetry_multiplicity _atom_site_occupancy _atom_site_calc_flag _atom_site_refinement_flags _atom_site_disorder_assembly _atom_site_disorder_group K1 K 0.30811(12) 0 0 Uani 0.0224(3) 3 1 d . . . K2 K 0.35912(12) 0 0.5 Uani 0.0228(3) 3 1 d . . . Al1 Al 0 0 0.29952(18) Uani 0.0128(4) 2 1 d . . . Al2 Al 0.333333 0.666667 0.18217(17) Uani 0.0108(4) 2 1 d . . . Al3 Al 0.666667 0.333333 0.22148(16) Uani 0.0116(4) 2 1 d . . . O1 O 0.1572(3) 0.2132(3) 0.2261(3) Uani 0.0212(9) 6 1 d . . . O2 O 0.3971(3) 0.5149(3) 0.2512(3) Uani 0.0209(9) 6 1 d . . . O3 O 0.4526(3) 0.2743(3) 0.2925(3) Uani 0.0198(9) 6 1 d . . . O4 O 0 0 0.5 Uani 0.0404(19) 1 1 d . . . O5 O 0.666667 0.333333 0.0193(4) Uani 0.0335(11) 2 1 d . . . B1 B 0.3355(5) 0.3344(5) 0.2583(4) Uani 0.0123(12) 6 1 d . . . loop_ _atom_site_aniso_label _atom_site_aniso_type_symbol _atom_site_aniso_U_11 _atom_site_aniso_U_22 _atom_site_aniso_U_33 _atom_site_aniso_U_12 _atom_site_aniso_U_13 _atom_site_aniso_U_23 K1 K 0.0222(3) 0.0205(4) 0.0239(5) 0.0103(2) 0.00303(19) 0.0061(4) K2 K 0.0222(3) 0.0228(5) 0.0237(5) 0.0114(2) 0.0033(2) 0.0066(4) Al1 Al 0.0112(4) 0.0112(4) 0.0159(7) 0.0056(2) 0 0 Al2 Al 0.0096(5) 0.0096(5) 0.0132(6) 0.0048(2) 0 0 Al3 Al 0.0095(5) 0.0095(5) 0.0157(7) 0.0047(2) 0 0 O1 O 0.0113(11) 0.0122(12) 0.0357(12) 0.0024(9) -0.0046(8) 0.0047(9) O2 O 0.0146(10) 0.0107(11) 0.0381(11) 0.0068(10) -0.0058(8) 0.0001(8) O3 O 0.0134(11) 0.0159(10) 0.0320(10) 0.0088(9) 0.0028(9) 0.0074(8) O4 O 0.053(3) 0.053(3) 0.016(3) 0.0264(13) 0 0 O5 O 0.0420(15) 0.0420(15) 0.0166(15) 0.0210(8) 0 0 B1 B 0.0090(14) 0.0125(17) 0.0144(10) 0.0046(14) 0.0025(8) 0.0013(10) loop_ _atom_type_symbol _atom_type_scat_dispersion_real _atom_type_scat_dispersion_imag _atom_type_scat_source Al 0.0645 0.0514 'International Tables Vol C tables 4.2.6.8 and 6.1.1.1' B 0.0013 0.0007 'International Tables Vol C tables 4.2.6.8 and 6.1.1.1' K 0.2009 0.2494 'International Tables Vol C tables 4.2.6.8 and 6.1.1.1' O 0.0106 0.0060 'International Tables Vol C tables 4.2.6.8 and 6.1.1.1' loop_ _geom_bond_atom_site_label_1 _geom_bond_atom_site_label_2 _geom_bond_site_symmetry_1 _geom_bond_site_symmetry_2 _geom_bond_distance O1 O1 . 2_555 2.851(3) O1 O1 . 3_555 2.851(4) O1 O4 . . 2.853(2) O2 O2 . 2_665 2.856(5) O2 O2 . 3_565 2.856(5) O2 O5 . 4_555 2.831(4) O3 O3 . 2_655 2.853(5) O3 O3 . 3_665 2.853(3) O3 O5 . . 2.848(4) loop_ _refln_index_h _refln_index_k _refln_index_l _refln_F_squared_calc _refln_F_squared_meas _refln_F_squared_sigma _refln_observed_status 0 1 0 0.00 3.17 11.23 < -1 2 0 1510.45 1464.02 17.59 o 1 1 0 1438.80 1593.24 17.99 o 0 2 0 7.87 12.20 10.62 < -1 3 0 10.32 12.20 9.15 < 1 2 0 10.40 8.05 9.03 < 0 3 0 13766.10 13008.30 40.37 o -2 4 0 8228.16 8697.10 23.82 o 2 2 0 8282.73 8412.75 23.55 o -1 4 0 8.85 6.10 7.93 < 1 3 0 8.83 4.27 7.81 < 0 4 0 19.10 25.63 10.13 < -2 5 0 21.92 29.04 7.93 o 2 3 0 21.65 17.94 8.05 < -1 5 0 2654.37 2564.64 10.60 o 1 4 0 2582.05 2691.70 10.73 o 0 5 0 44.75 42.84 7.93 o -3 6 0 13109.60 12675.50 25.61 o 3 3 0 13126.90 12387.40 24.97 o -2 6 0 39.11 36.61 8.05 o 2 4 0 38.88 29.17 8.05 o -1 6 0 21.22 9.40 8.30 < 1 5 0 21.01 19.77 8.54 < 0 6 0 6545.83 6367.80 13.18 o -3 7 0 32.22 32.83 8.18 o 3 4 0 32.84 33.93 8.18 o -2 7 0 482.39 520.33 8.80 o 2 5 0 506.57 459.16 8.55 o -1 7 0 33.86 23.31 9.03 < 1 6 0 34.08 27.21 8.30 o 0 7 0 44.29 43.93 9.27 o -4 8 0 69.44 90.56 14.65 o 4 4 0 61.90 88.36 14.40 o -3 8 0 41.88 48.81 9.27 o 3 5 0 41.95 42.47 8.79 o -2 8 0 61.56 62.61 9.15 o 2 6 0 61.32 54.92 9.15 o -1 8 0 490.62 475.55 9.77 o 1 7 0 480.37 489.74 9.77 o 0 8 0 31.16 45.27 9.76 o -4 9 0 46.92 45.15 10.62 o 4 5 0 46.52 47.59 9.89 o -3 9 0 2471.57 2486.31 12.63 o 3 6 0 2464.97 2412.91 11.41 o -2 9 0 51.93 51.74 10.01 o 2 7 0 51.99 46.86 10.37 o -1 9 0 43.07 41.49 10.13 o 1 8 0 43.47 33.32 10.37 o 0 9 0 1058.95 1071.72 11.74 o -5 10 0 406.11 405.70 15.39 o 5 5 0 410.12 398.36 15.39 o -4 10 0 30.14 49.79 12.81 o 4 6 0 30.01 27.95 10.25 < -3 10 0 25.61 25.38 11.84 < 3 7 0 25.73 36.37 11.96 o -2 10 0 661.80 696.44 12.10 o 2 8 0 673.61 643.26 12.10 o -1 10 0 58.42 47.84 11.96 o 1 9 0 58.58 54.06 11.84 o 0 10 0 38.24 35.15 12.81 < -5 11 0 28.96 39.42 13.06 o 5 6 0 29.14 43.32 11.84 o -4 11 0 516.43 503.45 13.68 o 4 7 0 508.09 463.89 11.48 o -3 11 0 35.01 34.90 13.30 < 3 8 0 34.89 46.74 13.30 o -2 11 0 47.04 41.86 13.55 o 2 9 0 47.09 46.01 13.55 o 0 0 1 56.76 83.08 17.10 o -1 1 1 129.93 145.78 8.94 o 0 1 1 184.79 200.88 9.29 o -2 2 1 1582.05 1692.95 10.74 o -1 2 1 173.72 188.72 9.17 o 1 1 1 173.79 192.51 8.68 o 0 2 1 1473.70 1518.76 11.88 o -3 3 1 2985.00 3257.38 11.54 o -2 3 1 1083.95 1168.45 10.22 o -3 2 1 1094.39 1138.99 9.36 o -1 3 1 1282.83 1388.23 10.07 o 1 2 1 1300.38 1352.98 10.93 o 0 3 1 4034.68 4422.17 13.11 o -4 4 1 36.57 36.85 7.32 o -3 4 1 395.60 376.42 8.44 o -4 3 1 385.64 413.50 7.21 o -2 4 1 89.98 100.84 7.32 o 2 2 1 89.95 100.84 7.45 o -1 4 1 396.45 388.51 8.44 o 1 3 1 388.61 394.54 8.31 o 0 4 1 14.53 22.58 7.93 < -5 5 1 1130.15 1139.28 9.42 o -4 5 1 1110.98 1185.19 9.68 o -5 4 1 1114.80 1175.90 8.33 o -3 5 1 1125.26 1114.73 8.70 o -5 3 1 1119.85 1103.88 8.46 o -2 5 1 1152.77 1148.77 8.70 o 2 3 1 1146.21 1132.53 8.82 o -1 5 1 1047.02 1094.11 9.56 o 1 4 1 1042.96 1080.49 9.19 o 0 5 1 979.60 958.28 8.70 o -6 6 1 178.39 157.67 10.01 o -5 6 1 717.15 718.01 11.74 o -6 5 1 719.55 725.44 8.56 o -4 6 1 433.53 449.55 9.65 o -6 4 1 442.41 432.42 7.82 o -3 6 1 34.29 49.06 8.18 o 3 3 1 34.57 37.59 8.05 o -2 6 1 422.30 437.25 8.31 o 2 4 1 430.10 424.03 8.19 o -1 6 1 783.91 792.98 8.56 o 1 5 1 790.12 755.55 10.27 o 0 6 1 82.57 72.41 8.06 o -7 7 1 57.47 64.44 8.79 o -6 7 1 192.83 188.88 9.16 o -7 6 1 185.43 191.70 8.79 o -5 7 1 791.38 779.55 9.66 o -7 5 1 788.07 777.34 8.43 o -4 7 1 107.16 107.90 9.28 o -7 4 1 107.00 104.85 8.67 o -3 7 1 105.51 101.92 8.42 o 3 4 1 102.84 108.03 8.06 o -2 7 1 707.82 687.83 9.30 o 2 5 1 711.02 672.30 9.17 o -1 7 1 217.89 211.19 8.06 o 1 6 1 214.90 207.54 8.67 o 0 7 1 57.21 59.56 8.42 o -8 8 1 475.76 463.39 10.26 o -7 8 1 174.30 187.35 8.92 o -8 7 1 174.68 171.23 8.92 o -6 8 1 521.58 508.93 9.53 o -8 6 1 520.07 528.01 9.16 o -5 8 1 735.46 737.24 10.76 o -8 5 1 734.04 726.74 8.92 o -4 8 1 60.00 49.06 9.03 o 4 4 1 59.75 57.60 9.15 o -3 8 1 741.72 736.00 9.29 o 3 5 1 738.11 739.43 9.53 o -2 8 1 569.09 568.18 9.65 o 2 6 1 561.60 569.66 10.38 o -1 8 1 303.97 310.86 9.64 o 1 7 1 303.20 300.24 9.28 o 0 8 1 456.42 452.20 9.77 o -9 9 1 38.14 52.48 10.74 o -8 9 1 329.63 340.07 10.99 o -9 8 1 333.85 328.34 10.75 o -7 9 1 254.26 269.30 10.25 o -9 7 1 258.56 251.60 10.86 o -6 9 1 189.88 190.38 10.25 o -9 6 1 190.86 182.20 9.27 o -5 9 1 253.38 261.55 10.38 o -9 5 1 255.36 242.37 10.50 o -4 9 1 279.36 292.16 10.26 o 4 5 1 287.96 288.00 10.01 o -3 9 1 107.31 121.60 10.50 o 3 6 1 107.15 122.94 9.89 o -2 9 1 221.71 235.40 10.50 o 2 7 1 224.58 214.76 10.13 o -1 9 1 328.76 335.67 10.38 o 1 8 1 333.23 333.22 10.26 o 0 9 1 79.43 94.82 10.37 o -10 10 1 49.84 49.42 13.18 o -9 10 1 81.78 99.35 11.96 o -10 9 1 79.71 103.74 11.59 o -8 10 1 70.83 91.29 11.72 o -10 8 1 72.63 82.14 11.11 o -7 10 1 119.97 116.19 11.72 o -10 7 1 118.18 123.51 11.23 o -6 10 1 114.50 103.86 11.84 o -10 6 1 109.98 116.43 11.35 o -5 10 1 3.59 0.12 12.69 < 5 5 1 3.28 -3.05 11.35 < -4 10 1 99.54 103.38 11.72 o 4 6 1 99.33 106.43 10.98 o -3 10 1 97.03 98.99 10.98 o 3 7 1 96.19 90.81 13.91 o -2 10 1 77.16 104.35 11.35 o 2 8 1 75.31 89.70 11.35 o -1 10 1 95.22 92.75 12.08 o 1 9 1 93.46 109.96 11.72 o 0 10 1 49.15 29.17 13.18 < -9 11 1 141.45 152.83 14.04 o -11 9 1 139.55 155.03 15.99 o -8 11 1 189.81 178.34 13.31 o -11 8 1 189.47 192.75 13.55 o -7 11 1 62.49 46.49 12.81 o -11 7 1 61.44 54.79 13.30 o -6 11 1 260.75 248.32 13.43 o -11 6 1 260.15 270.29 11.84 o -5 11 1 259.76 254.05 15.99 o 5 6 1 257.33 264.92 13.31 o -4 11 1 28.36 40.76 13.67 < 4 7 1 29.08 31.49 13.30 < -3 11 1 197.26 186.52 13.06 o 3 8 1 197.21 187.74 13.06 o -2 11 1 175.05 189.42 20.02 o 2 9 1 174.49 189.79 13.18 o 0 0 2 5090.47 5634.47 25.35 o -1 1 2 218.13 233.80 7.83 o 0 1 2 223.86 229.98 8.68 o -2 2 2 24.74 64.19 8.05 o 0 2 2 18.34 28.68 7.32 o -3 3 2 3297.59 3508.76 10.27 o -2 3 2 94.17 98.02 8.42 o -3 2 2 92.58 100.58 6.10 o -1 3 2 68.41 82.42 8.42 o 1 2 2 69.12 72.77 7.08 o 0 3 2 2895.28 2965.32 10.94 o -4 4 2 45.67 46.15 6.84 o -3 4 2 50.07 48.33 7.20 o -4 3 2 51.63 48.33 6.10 o -2 4 2 1717.67 1459.55 9.59 o 2 2 2 1689.01 1574.40 7.87 o -1 4 2 34.56 40.16 7.20 o 1 3 2 33.52 38.69 7.32 o 0 4 2 97.56 90.30 8.18 o -5 5 2 96.67 90.43 7.32 o -4 5 2 4793.81 4776.84 11.81 o -5 4 2 4826.71 4773.26 10.31 o -3 5 2 53.61 59.21 7.94 o -5 3 2 52.37 45.78 6.84 o -2 5 2 108.23 100.56 7.57 o 2 3 2 108.82 113.25 7.44 o -1 5 2 4970.74 4941.95 12.41 o 1 4 2 4991.45 4862.94 12.41 o 0 5 2 46.87 53.59 7.57 o -6 6 2 16.54 29.16 7.93 o -5 6 2 84.59 74.56 7.81 o -6 5 2 84.81 90.06 7.32 o -4 6 2 96.16 103.67 9.04 o -6 4 2 94.71 91.09 6.96 o -3 6 2 283.67 266.12 8.92 o 3 3 2 272.70 290.81 7.82 o -2 6 2 170.06 160.61 7.81 o 2 4 2 172.53 167.08 8.05 o -1 6 2 40.99 37.11 8.67 o 1 5 2 41.67 44.19 8.91 o 0 6 2 13.32 26.72 8.05 o -7 7 2 30.38 36.49 9.40 o -6 7 2 104.28 96.41 9.15 o -7 6 2 102.00 103.61 7.93 o -5 7 2 3204.84 3219.21 11.43 o -7 5 2 3211.99 3186.26 9.96 o -4 7 2 28.07 30.02 9.52 o -7 4 2 28.31 32.10 7.20 o -3 7 2 30.94 30.14 8.05 o 3 4 2 29.80 38.32 8.05 o -2 7 2 2975.24 2922.44 10.96 o 2 5 2 2981.69 2839.72 10.71 o -1 7 2 52.45 50.41 7.93 o 1 6 2 54.49 55.54 8.79 o 0 7 2 65.80 66.14 8.91 o -8 8 2 35.37 34.78 10.25 o -7 8 2 403.48 427.85 9.89 o -8 7 2 406.00 410.13 9.65 o -6 8 2 37.60 35.39 11.59 o -8 6 2 37.44 44.17 8.05 o -5 8 2 75.67 64.43 10.01 o -8 5 2 77.22 79.56 7.81 o -4 8 2 1609.82 1612.14 11.27 o 4 4 2 1596.41 1659.05 9.19 o -3 8 2 40.23 37.10 8.91 o 3 5 2 38.55 30.03 9.03 o -2 8 2 20.76 22.33 9.64 < 2 6 2 21.11 23.55 9.89 < -1 8 2 410.28 419.52 9.28 o 1 7 2 416.47 426.72 9.53 o 0 8 2 63.76 63.33 9.40 o -9 9 2 31.11 40.64 10.50 o -8 9 2 81.45 82.13 10.74 o -9 8 2 84.36 84.45 10.62 o -7 9 2 51.25 42.35 10.62 o -9 7 2 53.03 45.16 9.89 o -6 9 2 110.26 113.87 11.59 o -9 6 2 114.17 118.26 9.52 o -5 9 2 44.94 48.33 11.59 o -9 5 2 43.83 40.39 10.37 o -4 9 2 43.65 44.67 10.98 o 4 5 2 45.11 57.97 9.76 o -3 9 2 100.42 111.80 10.01 o 3 6 2 102.41 101.55 9.89 o -2 9 2 60.36 68.46 9.52 o 2 7 2 58.55 65.17 10.50 o -1 9 2 66.41 55.90 10.62 o 1 8 2 63.09 65.78 10.25 o 0 9 2 42.95 47.71 11.23 o -10 10 2 46.31 40.39 13.55 < -9 10 2 36.49 38.56 12.08 o -10 9 2 35.21 39.29 11.35 o -8 10 2 908.61 893.42 13.32 o -10 8 2 904.41 920.45 14.55 o -7 10 2 38.90 51.02 11.72 o -10 7 2 38.86 41.25 10.37 o -6 10 2 46.63 34.66 12.45 < -10 6 2 44.03 47.60 12.20 o -5 10 2 122.46 120.22 13.67 o 5 5 2 118.02 141.34 10.50 o -4 10 2 66.57 78.34 12.57 o 4 6 2 69.29 76.15 10.98 o -3 10 2 81.14 83.10 11.10 o 3 7 2 81.39 76.51 11.23 o -2 10 2 922.85 922.33 12.22 o 2 8 2 920.81 908.66 12.10 o -1 10 2 34.14 29.65 11.84 < 1 9 2 35.28 30.63 11.35 < 0 10 2 32.61 25.87 12.57 < -8 11 2 70.59 60.40 14.15 o -11 8 2 71.79 77.85 13.30 o -7 11 2 571.08 554.54 14.17 o -11 7 2 574.54 594.60 13.19 o -6 11 2 43.68 37.34 14.03 < -11 6 2 42.84 58.57 11.84 o -5 11 2 33.00 53.09 15.74 o 5 6 2 33.39 36.98 12.20 o -4 11 2 552.50 555.56 16.00 o 4 7 2 555.04 577.42 14.29 o -3 11 2 31.90 38.69 12.45 o 3 8 2 30.76 45.77 13.18 o 0 0 3 31.40 38.57 10.86 o -1 1 3 111.21 96.25 6.47 o 0 1 3 131.14 106.84 6.84 o -2 2 3 48.25 51.14 6.35 o -1 2 3 84.58 73.13 5.86 o 1 1 3 85.02 80.33 6.96 o 0 2 3 39.47 39.55 6.47 o -3 3 3 1390.78 1470.72 8.01 o -2 3 3 1193.58 1153.32 8.99 o -3 2 3 1187.86 1203.02 7.76 o -1 3 3 1679.01 1650.01 9.07 o 1 2 3 1663.02 1654.45 8.21 o 0 3 3 1948.06 2020.07 9.56 o -4 4 3 1255.51 1230.99 8.60 o -3 4 3 918.81 916.30 8.92 o -4 3 3 937.38 924.55 6.48 o -2 4 3 105.81 86.92 7.81 o 2 2 3 106.06 108.40 5.98 o -1 4 3 642.69 626.47 9.07 o 1 3 3 645.57 630.92 6.99 o 0 4 3 1675.37 1626.02 8.82 o -5 5 3 36.72 42.24 7.08 o -4 5 3 571.76 586.50 8.92 o -5 4 3 575.32 591.27 6.97 o -3 5 3 166.74 189.48 8.42 o -5 3 3 170.03 159.69 6.10 o -2 5 3 153.69 163.74 8.67 o 2 3 3 160.08 151.40 6.35 o -1 5 3 548.88 552.27 8.68 o 1 4 3 545.72 552.01 8.07 o 0 5 3 93.21 95.18 8.30 o -6 6 3 114.02 109.22 7.57 o -5 6 3 95.59 101.19 8.42 o -6 5 3 98.74 98.14 7.20 o -4 6 3 742.21 726.94 8.93 o -6 4 3 731.01 757.17 6.73 o -3 6 3 9.58 22.21 8.42 < 3 3 3 9.44 11.71 6.35 < -2 6 3 725.20 709.63 9.42 o 2 4 3 721.68 716.89 8.81 o -1 6 3 104.24 107.41 8.30 o 1 5 3 96.13 113.15 8.06 o 0 6 3 52.26 62.38 8.18 o -7 7 3 979.66 971.38 9.30 o -6 7 3 951.94 956.63 10.02 o -7 6 3 960.44 941.34 8.80 o -5 7 3 518.84 514.83 9.53 o -7 5 3 524.53 514.84 7.08 o -4 7 3 842.94 842.36 9.55 o -7 4 3 840.22 847.63 7.59 o -3 7 3 1059.12 1065.73 10.27 o 3 4 3 1058.66 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246.37 252.55 6.85 o 0 4 7 761.16 768.73 7.57 o -5 5 7 32.18 33.93 7.93 o -4 5 7 41.52 33.68 7.57 o -5 4 7 41.74 39.42 6.59 o -3 5 7 106.77 108.86 7.81 o -5 3 7 106.91 108.13 6.71 o -2 5 7 83.60 80.80 8.06 o 2 3 7 88.34 87.39 6.84 o -1 5 7 25.94 33.19 7.81 o 1 4 7 25.92 19.65 7.44 < 0 5 7 79.90 82.37 8.18 o -6 6 7 7.41 15.99 8.18 < -5 6 7 61.91 61.14 8.30 o -6 5 7 67.21 77.74 7.44 o -4 6 7 286.27 279.73 8.06 o -6 4 7 277.95 293.65 7.45 o -3 6 7 3.98 -4.27 8.54 < 3 3 7 4.10 6.71 7.32 < -2 6 7 286.43 278.99 9.03 o 2 4 7 288.44 284.61 7.94 o -1 6 7 54.03 47.23 8.42 o 1 5 7 47.51 53.09 8.18 o 0 6 7 8.67 7.08 9.15 < -7 7 7 393.58 389.71 9.17 o -6 7 7 545.84 543.42 9.89 o -7 6 7 549.24 541.83 9.15 o -5 7 7 39.75 36.73 9.64 o -7 5 7 40.32 34.17 8.05 o -4 7 7 318.50 304.14 8.92 o -7 4 7 316.88 310.01 8.31 o -3 7 7 555.93 547.95 9.52 o 3 4 7 553.97 556.13 8.30 o -2 7 7 41.97 35.51 9.15 o 2 5 7 41.01 47.59 8.66 o -1 7 7 309.47 314.51 10.02 o 1 6 7 308.98 315.24 9.16 o 0 7 7 737.33 706.39 10.50 o -8 8 7 68.73 67.01 10.62 o -7 8 7 9.05 21.97 10.01 < -8 7 7 8.93 9.27 9.52 < -6 8 7 121.09 122.44 10.86 o -8 6 7 117.26 109.74 8.79 o -5 8 7 74.35 80.55 10.01 o -8 5 7 79.66 82.26 9.03 o -4 8 7 2.86 5.13 9.88 < 4 4 7 2.88 8.91 9.27 < -3 8 7 72.79 75.42 9.89 o 3 5 7 71.56 70.66 9.40 o -2 8 7 174.82 182.94 10.62 o 2 6 7 185.41 174.89 10.25 o -1 8 7 18.61 30.99 12.08 < 1 7 7 18.93 31.60 11.96 < 0 8 7 116.50 98.11 14.40 o -6 9 7 3.66 13.06 11.23 < -9 6 7 3.73 7.93 10.25 < -5 9 7 258.58 241.61 11.48 o -9 5 7 262.93 250.41 10.87 o -4 9 7 462.53 442.82 11.23 o 4 5 7 451.14 441.72 11.11 o -3 9 7 8.68 10.62 11.23 < 3 6 7 8.78 13.67 12.69 < 0 0 8 1195.91 1203.35 13.22 o -1 1 8 19.84 28.31 6.71 o 0 1 8 7.79 7.69 6.59 < -2 2 8 203.82 190.42 7.69 o -1 2 8 1295.06 1356.75 7.96 o 1 1 8 1316.91 1314.12 8.45 o 0 2 8 158.75 171.66 7.20 o -3 3 8 415.11 414.43 7.33 o -2 3 8 124.41 125.69 7.20 o -3 2 8 126.39 121.17 7.81 o -1 3 8 51.11 54.81 7.32 o 1 2 8 50.44 44.07 7.32 o 0 3 8 428.31 451.41 7.69 o -4 4 8 21.82 36.49 7.20 o -3 4 8 109.01 112.53 8.06 o -4 3 8 106.31 92.02 7.44 o -2 4 8 1074.05 1036.02 8.81 o 2 2 8 1058.37 1073.40 7.95 o -1 4 8 91.50 88.37 7.08 o 1 3 8 93.02 94.96 7.20 o 0 4 8 10.28 18.06 7.57 < -5 5 8 39.92 41.00 8.91 o -4 5 8 709.07 726.22 9.16 o -5 4 8 722.46 709.80 7.94 o -3 5 8 64.51 62.24 8.30 o -5 3 8 62.92 64.56 7.20 o -2 5 8 51.89 51.62 8.05 o 2 3 8 53.95 62.36 7.57 o -1 5 8 688.61 722.62 9.04 o 1 4 8 700.64 695.82 8.43 o 0 5 8 43.16 34.54 8.42 o -6 6 8 127.46 136.08 8.79 o -5 6 8 122.57 125.10 9.64 o -6 5 8 123.54 116.32 8.06 o -4 6 8 163.00 172.08 9.15 o -6 4 8 163.93 166.59 7.93 o -3 6 8 325.99 322.35 9.16 o 3 3 8 326.20 321.50 8.06 o -2 6 8 109.08 119.88 9.40 o 2 4 8 108.27 106.93 8.06 o -1 6 8 118.06 129.62 9.15 o 1 5 8 117.44 119.74 9.03 o 0 6 8 107.24 116.93 9.76 o -7 7 8 4.87 16.35 10.01 < -6 7 8 23.46 34.29 9.89 o -7 6 8 23.00 30.14 9.76 o -5 7 8 380.57 381.21 10.13 o -7 5 8 370.02 393.92 8.91 o -4 7 8 38.08 46.01 9.40 o -7 4 8 39.24 46.99 8.54 o -3 7 8 73.62 75.17 9.76 o 3 4 8 72.33 84.20 8.91 o -2 7 8 371.74 368.16 10.14 o 2 5 8 363.02 386.37 8.91 o -1 7 8 59.27 59.79 10.01 o 1 6 8 59.94 53.08 9.64 o 0 7 8 3.07 3.78 11.10 < -6 8 8 83.66 86.40 11.35 o -8 6 8 80.51 82.38 10.62 o -5 8 8 28.04 25.02 11.23 < -8 5 8 27.95 25.87 9.76 < -4 8 8 298.35 326.85 11.60 o 4 4 8 307.15 294.60 9.77 o -3 8 8 42.98 40.39 10.74 o 3 5 8 41.88 46.62 10.13 o -2 8 8 67.70 72.01 11.59 o 2 6 8 69.57 66.03 10.98 o 0 0 9 4.62 -4.15 11.96 < -1 1 9 7.42 20.38 7.08 < 0 1 9 3.54 16.23 7.44 < -2 2 9 267.63 282.37 8.42 o -1 2 9 5.56 5.86 7.20 < 1 1 9 5.56 20.38 8.18 < 0 2 9 104.26 107.46 8.30 o -3 3 9 19.17 25.63 8.05 o -2 3 9 152.33 148.88 7.82 o -3 2 9 147.98 149.49 8.43 o -1 3 9 322.51 330.10 7.69 o 1 2 9 333.98 318.39 7.93 o 0 3 9 8.14 5.49 7.69 < -4 4 9 45.22 50.64 8.42 o -3 4 9 157.16 150.98 9.03 o -4 3 9 150.30 153.05 8.18 o -2 4 9 9.04 5.86 8.66 < 2 2 9 9.09 5.37 7.32 < -1 4 9 127.32 125.12 8.18 o 1 3 9 130.85 124.87 7.93 o 0 4 9 21.68 30.39 8.18 o -5 5 9 172.26 180.75 10.13 o -4 5 9 13.21 14.89 10.01 < -5 4 9 13.23 16.96 7.93 < -3 5 9 106.43 108.66 8.91 o -5 3 9 106.59 109.75 8.18 o -2 5 9 202.21 209.90 9.40 o 2 3 9 200.35 198.92 7.93 o -1 5 9 8.58 -4.03 8.91 < 1 4 9 8.57 17.94 8.42 < 0 5 9 120.26 127.93 8.79 o -6 6 9 2.53 16.96 10.01 < -5 6 9 130.89 134.66 10.38 o -6 5 9 128.90 132.83 8.91 o -4 6 9 113.72 117.89 10.13 o -6 4 9 116.80 114.96 8.54 o -3 6 9 6.96 17.21 10.13 < 3 3 9 6.83 11.84 8.79 < -2 6 9 73.15 83.24 10.13 o 2 4 9 71.61 79.21 9.03 o -1 6 9 213.79 210.03 10.50 o 1 5 9 214.81 204.66 9.15 o 0 6 9 6.25 9.52 10.98 < -5 7 9 1.66 18.43 10.98 < -7 5 9 1.64 12.93 9.40 < -4 7 9 66.63 75.78 10.62 o -7 4 9 67.90 59.43 9.88 o -3 7 9 27.64 41.01 11.59 o 3 4 9 27.53 26.00 9.89 < -2 7 9 3.18 20.26 11.47 < 2 5 9 3.36 12.45 9.88 < 0 0 10 964.96 1040.88 15.04 o -1 1 10 222.40 224.05 8.54 o 0 1 10 110.88 116.48 8.06 o -2 2 10 168.23 159.69 8.67 o -1 2 10 550.21 511.68 8.43 o 1 1 10 535.38 539.69 9.41 o 0 2 10 228.59 226.17 8.30 o -3 3 10 687.63 716.07 9.16 o -2 3 10 211.61 198.30 9.64 o -3 2 10 210.11 203.55 8.42 o -1 3 10 94.10 98.04 8.91 o 1 2 10 94.71 102.92 8.42 o 0 3 10 723.10 741.61 9.16 o -4 4 10 240.12 244.54 8.91 o -3 4 10 195.70 197.89 9.16 o -4 3 10 196.97 192.03 9.52 o -2 4 10 423.98 438.67 10.50 o 2 2 10 435.20 408.49 8.43 o -1 4 10 223.43 236.93 10.13 o 1 3 10 222.91 210.07 9.40 o 0 4 10 96.28 94.26 9.04 o -5 5 10 59.44 71.53 10.74 o -4 5 10 328.43 308.99 11.35 o -5 4 10 318.21 332.93 9.28 o -3 5 10 124.29 123.13 10.49 o -5 3 10 126.42 127.04 8.66 o -2 5 10 68.13 66.03 10.25 o 2 3 10 67.07 63.84 8.79 o -1 5 10 294.84 272.89 10.13 o 1 4 10 287.11 299.52 9.52 o 0 5 10 152.81 148.63 10.01 o -4 6 10 61.56 60.90 22.82 < -6 4 10 59.26 43.57 17.33 < -3 6 10 313.78 299.37 22.95 o 3 3 10 314.12 318.42 18.68 o 0 0 11 0.64 -2.93 15.99 < -1 1 11 36.55 49.67 10.01 o 0 1 11 79.50 73.58 10.13 o -2 2 11 50.75 52.11 9.27 o -1 2 11 7.82 11.96 10.13 < 1 1 11 7.84 19.04 10.01 < 0 2 11 29.90 44.79 9.52 o -3 3 11 5.24 6.96 9.88 < -2 3 11 31.60 41.74 10.50 o -3 2 11 31.80 38.08 9.28 o -1 3 11 65.05 57.84 10.49 o 1 2 11 64.68 71.63 10.01 o 0 3 11 5.63 24.77 10.62 < -2 4 11 16.00 -12.08 22.70 < 2 2 11 15.94 20.38 22.82 < loop_ _twin_individual_id _twin_individual_mass_fraction_refined _twin_individual_twin_matrix_11 _twin_individual_twin_matrix_12 _twin_individual_twin_matrix_13 _twin_individual_twin_matrix_21 _twin_individual_twin_matrix_22 _twin_individual_twin_matrix_23 _twin_individual_twin_matrix_31 _twin_individual_twin_matrix_32 _twin_individual_twin_matrix_33 1 0.722(2) 1 0 0 0 1 0 0 0 1 2 0.278(2) -1 0 0 0 -1 0 0 0 1