#------------------------------------------------------------------------------ #$Date: 2021-05-18 17:36:50 +0100 (Tue, 18 May 2021) $ #$Revision: 265307 $ #$URL: svn://www.crystallography.net/cod/cif/3/00/01/3000112.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_3000112 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 8.5843(9) _cell_length_b 8.5843(9) _cell_length_c 8.486(2) _cell_measurement_temperature 298 _cell_volume 541.56(15) _diffrn_ambient_temperature 298 _diffrn_measured_fraction_theta_full 1 _diffrn_measured_fraction_theta_max 1 _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 0.0433 _diffrn_reflns_av_unetI/netI 0.019 _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 5153 _diffrn_reflns_theta_full 29.16 _diffrn_reflns_theta_max 29.16 _diffrn_reflns_theta_min 2.4 _exptl_absorpt_coefficient_mu 1.55 _exptl_crystal_density_diffrn 2.4447 _exptl_crystal_F_000 390 _refine_diff_density_max 0.18 _refine_diff_density_min -0.21 _refine_ls_abs_structure_details ' 401 of Friedel pairs used in the refinement' _refine_ls_extinction_coef 1900(200) _refine_ls_extinction_method 'B-C type 1 Gaussian isotropic (Becker & Coppens, 1974)' _refine_ls_goodness_of_fit_gt 1.32 _refine_ls_goodness_of_fit_ref 1.27 _refine_ls_number_constraints 0 _refine_ls_number_parameters 63 _refine_ls_number_reflns 993 _refine_ls_number_restraints 0 _refine_ls_R_factor_all 0.0269 _refine_ls_R_factor_gt 0.0226 _refine_ls_shift/su_max 0.0021 _refine_ls_shift/su_mean 0.0005 _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 0.0231 _refine_ls_wR_factor_ref 0.0236 _reflns_number_gt 896 _reflns_number_total 993 _reflns_threshold_expression I>3\s(I) _cod_data_source_file K2Al2B2O7_298K.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 3000112 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 0.30894(11) 0 0 Uani 0.0206(3) 3 1 d . . . K2 K 0.35876(11) 0 0.5 Uani 0.0207(3) 3 1 d . . . Al1 Al 0 0 0.29908(17) Uani 0.0125(3) 2 1 d . . . Al2 Al 0.333333 0.666667 0.18258(16) Uani 0.0107(4) 2 1 d . . . Al3 Al 0.666667 0.333333 0.22179(15) Uani 0.0109(4) 2 1 d . . . O1 O 0.1578(3) 0.2140(3) 0.2262(2) Uani 0.0203(8) 6 1 d . . . O2 O 0.3981(3) 0.5158(3) 0.2518(2) Uani 0.0195(8) 6 1 d . . . O3 O 0.4518(3) 0.2733(3) 0.2932(2) Uani 0.0183(8) 6 1 d . . . O4 O 0 0 0.5 Uani 0.0350(17) 1 1 d . . . O5 O 0.666667 0.333333 0.0197(4) Uani 0.0311(10) 2 1 d . . . B1 B 0.3345(5) 0.3342(5) 0.2580(4) Uani 0.0128(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 0.0202(3) 0.0186(4) 0.0225(5) 0.00928(19) 0.00264(17) 0.0053(3) K2 K 0.0201(3) 0.0206(4) 0.0217(5) 0.0103(2) 0.00294(18) 0.0059(4) Al1 Al 0.0109(4) 0.0109(4) 0.0158(6) 0.0055(2) 0 0 Al2 Al 0.0092(4) 0.0092(4) 0.0138(6) 0.0046(2) 0 0 Al3 Al 0.0094(4) 0.0094(4) 0.0139(6) 0.0047(2) 0 0 O1 O 0.0119(10) 0.0117(11) 0.0333(11) 0.0030(9) -0.0042(8) 0.0040(8) O2 O 0.0151(9) 0.0105(10) 0.0334(10) 0.0068(9) -0.0038(8) 0.0017(7) O3 O 0.0117(10) 0.0148(9) 0.0306(10) 0.0083(9) 0.0040(8) 0.0073(7) O4 O 0.044(2) 0.044(2) 0.018(2) 0.0219(11) 0 0 O5 O 0.0388(14) 0.0388(14) 0.0158(14) 0.0194(7) 0 0 B1 B 0.0109(14) 0.0135(16) 0.0147(10) 0.0066(13) 0.0013(8) 0.0016(9) 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 2.857(3) O1 O1 . 3_555 2.857(4) O1 O4 . . 2.849(2) O2 O2 . 2_665 2.850(5) O2 O2 . 3_565 2.850(5) O2 O5 . 4_555 2.831(4) O3 O3 . 2_655 2.855(4) O3 O3 . 3_665 2.855(3) O3 O5 . . 2.847(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 0.01 2.37 9.62 < -1 2 0 1516.73 1471.93 15.79 o 1 1 0 1447.85 1596.90 16.65 o 0 2 0 7.33 13.30 8.96 < -1 3 0 9.90 15.81 7.90 < 1 2 0 10.00 8.56 7.64 < 0 3 0 13937.00 13596.70 40.58 o -2 4 0 8269.95 8893.84 23.59 o 2 2 0 8320.88 8518.25 23.00 o -1 4 0 9.78 7.25 6.72 < 1 3 0 9.71 10.93 6.32 < 0 4 0 22.30 18.97 8.30 < -2 5 0 18.24 18.18 6.85 < 2 3 0 17.96 19.89 6.72 < -1 5 0 2719.57 2626.06 9.77 o 1 4 0 2646.96 2736.41 9.78 o 0 5 0 53.15 55.21 6.85 o -3 6 0 13607.70 13236.10 25.36 o 3 3 0 13623.30 13059.30 24.79 o -2 6 0 37.49 37.15 6.46 o 2 4 0 37.21 40.45 6.72 o -1 6 0 16.57 17.92 6.85 < 1 5 0 16.44 16.86 6.98 < 0 6 0 6684.62 6573.90 12.50 o -3 7 0 31.29 33.33 6.85 o 3 4 0 31.91 27.66 6.98 o -2 7 0 465.34 506.29 7.66 o 2 5 0 490.44 440.96 7.39 o -1 7 0 32.42 25.56 7.51 o 1 6 0 32.66 36.36 7.25 o 0 7 0 48.12 60.34 7.38 o -4 8 0 63.19 64.42 11.99 o 4 4 0 55.56 79.32 11.99 o -3 8 0 46.26 46.11 7.90 o 3 5 0 46.37 34.65 7.38 o -2 8 0 57.75 46.51 7.51 o 2 6 0 57.53 60.74 7.77 o -1 8 0 545.61 528.95 7.92 o 1 7 0 534.20 574.40 8.18 o 0 8 0 28.67 25.69 7.77 o -4 9 0 45.79 46.24 8.83 o 4 5 0 45.37 37.28 8.69 o -3 9 0 2620.74 2664.53 11.30 o 3 6 0 2613.73 2599.68 10.10 o -2 9 0 56.86 72.06 8.56 o 2 7 0 57.03 45.06 8.56 o -1 9 0 42.55 32.01 8.56 o 1 8 0 42.98 41.10 8.56 o 0 9 0 1164.75 1175.25 10.31 o -5 10 0 451.22 481.09 14.51 o 5 5 0 455.98 443.08 12.93 o -4 10 0 33.25 32.67 10.54 o 4 6 0 33.00 34.12 8.56 o -3 10 0 30.51 30.56 9.75 o 3 7 0 30.57 34.12 9.75 o -2 10 0 667.54 711.60 10.16 o 2 8 0 680.70 638.29 10.16 o -1 10 0 62.60 73.51 9.75 o 1 9 0 62.64 63.63 9.75 o 0 10 0 40.74 32.41 10.01 o -5 11 0 26.80 16.60 11.20 < 5 6 0 26.98 25.29 9.62 < -4 11 0 517.02 486.64 10.82 o 4 7 0 507.73 530.99 10.95 o -3 11 0 36.69 47.82 10.54 o 3 8 0 36.65 48.35 10.80 o -2 11 0 46.26 36.23 10.67 o 2 9 0 46.26 42.81 10.67 o 0 0 1 50.87 69.94 12.54 o -1 1 1 132.65 148.54 7.68 o 0 1 1 184.59 201.33 7.79 o -2 2 1 1553.96 1658.64 9.67 o -1 2 1 170.18 186.75 8.19 o 1 1 1 170.24 177.50 7.13 o 0 2 1 1457.28 1495.72 10.78 o -3 3 1 3052.30 3349.92 10.76 o -2 3 1 1077.18 1170.28 8.96 o -3 2 1 1087.20 1110.06 8.42 o -1 3 1 1275.22 1379.90 8.78 o 1 2 1 1292.30 1330.25 9.71 o 0 3 1 4080.23 4520.13 12.52 o -4 4 1 33.28 33.06 6.32 o -3 4 1 388.14 393.60 7.27 o -4 3 1 378.59 401.46 6.21 o -2 4 1 88.41 102.55 6.33 o 2 2 1 88.40 93.06 6.20 o -1 4 1 395.74 374.65 6.87 o 1 3 1 387.63 396.38 7.40 o 0 4 1 12.93 19.63 6.59 < -5 5 1 1169.22 1156.69 8.34 o -4 5 1 1120.27 1201.03 8.61 o -5 4 1 1123.78 1177.21 7.55 o -3 5 1 1106.74 1110.71 7.70 o -5 3 1 1101.49 1093.56 7.57 o -2 5 1 1153.00 1153.32 7.56 o 2 3 1 1146.43 1126.76 7.83 o -1 5 1 1048.89 1099.13 8.23 o 1 4 1 1045.09 1086.10 8.09 o 0 5 1 993.53 990.70 7.56 o -6 6 1 190.35 174.81 8.56 o -5 6 1 734.62 734.50 10.18 o -6 5 1 737.09 735.25 7.54 o -4 6 1 430.76 407.44 8.19 o -6 4 1 439.43 435.65 6.60 o -3 6 1 32.38 32.41 6.59 o 3 3 1 32.63 34.12 6.72 o -2 6 1 430.51 454.84 7.00 o 2 4 1 438.75 404.63 7.00 o -1 6 1 786.96 784.13 7.40 o 1 5 1 793.34 766.52 8.72 o 0 6 1 88.36 85.32 7.12 o -7 7 1 52.93 59.29 7.25 o -6 7 1 201.26 197.90 7.38 o -7 6 1 193.51 205.30 7.38 o -5 7 1 772.52 641.52 8.19 o -7 5 1 769.51 748.52 7.27 o -4 7 1 109.32 108.45 8.04 o -7 4 1 108.72 104.90 7.12 o -3 7 1 106.96 102.79 6.85 o 3 4 1 104.46 101.08 6.85 o -2 7 1 704.49 708.82 7.93 o 2 5 1 707.48 685.70 7.93 o -1 7 1 225.29 217.62 7.25 o 1 6 1 222.08 236.75 7.25 o 0 7 1 60.72 61.52 6.98 o -8 8 1 511.10 507.81 8.44 o -7 8 1 181.40 186.12 7.91 o -8 7 1 182.04 176.36 7.91 o -6 8 1 542.55 552.01 8.32 o -8 6 1 541.39 539.89 7.92 o -5 8 1 766.27 767.66 9.12 o -8 5 1 765.09 759.75 7.66 o -4 8 1 58.60 61.39 7.77 o 4 4 1 58.32 55.33 7.64 o -3 8 1 783.02 784.86 7.79 o 3 5 1 779.15 765.45 8.32 o -2 8 1 595.01 598.36 8.31 o 2 6 1 586.80 600.89 8.84 o -1 8 1 309.13 299.90 7.77 o 1 7 1 308.02 300.03 7.77 o 0 8 1 488.40 480.45 8.31 o -9 9 1 34.52 31.36 9.09 o -8 9 1 356.53 365.93 9.10 o -9 8 1 360.45 367.37 8.70 o -7 9 1 278.06 295.41 8.57 o -9 7 1 282.56 277.21 9.49 o -6 9 1 187.47 173.64 8.56 o -9 6 1 188.05 175.22 7.77 o -5 9 1 263.67 287.08 9.49 o -9 5 1 266.01 267.95 8.97 o -4 9 1 295.78 304.01 8.70 o 4 5 1 304.65 287.12 8.44 o -3 9 1 105.89 110.34 8.44 o 3 6 1 106.14 117.06 8.31 o -2 9 1 245.28 244.59 8.97 o 2 7 1 248.49 249.20 8.97 o -1 9 1 347.10 362.79 8.57 o 1 8 1 352.37 331.39 8.57 o 0 9 1 75.59 83.38 8.83 o -10 10 1 56.35 70.09 10.80 o -9 10 1 93.54 89.07 9.62 o -10 9 1 91.88 94.21 9.88 o -8 10 1 75.16 87.09 9.62 o -10 8 1 77.06 88.67 9.35 o -7 10 1 132.76 128.72 9.62 o -10 7 1 130.83 127.93 9.22 o -6 10 1 127.64 117.66 9.75 o -10 6 1 122.78 129.26 9.49 o -5 10 1 3.50 5.40 10.01 < 5 5 1 3.19 14.09 8.96 < -4 10 1 110.68 101.73 10.01 o 4 6 1 110.32 110.69 9.36 o -3 10 1 105.78 111.88 9.62 o 3 7 1 104.90 104.76 11.60 o -2 10 1 78.12 92.62 9.62 o 2 8 1 76.21 88.80 9.09 o -1 10 1 114.09 127.79 9.49 o 1 9 1 111.45 111.86 9.49 o 0 10 1 58.52 59.55 10.93 o -9 11 1 158.99 165.54 15.29 o -11 9 1 157.00 149.86 18.58 o -8 11 1 223.29 210.88 11.47 o -11 8 1 222.46 226.83 11.07 o -7 11 1 63.43 62.04 10.54 o -11 7 1 62.48 63.49 11.33 o -6 11 1 290.75 280.66 11.21 o -11 6 1 289.90 305.58 10.02 o -5 11 1 287.18 283.31 13.97 o 5 6 1 284.73 295.83 10.94 o -4 11 1 27.58 21.74 11.20 < 4 7 1 28.17 32.28 10.94 < -3 11 1 217.95 217.48 10.81 o 3 8 1 218.34 221.57 11.07 o -2 11 1 198.78 189.61 13.57 o 2 9 1 198.10 224.67 21.87 o 0 0 2 5113.31 5762.46 24.27 o -1 1 2 220.12 231.82 6.74 o 0 1 2 222.68 231.53 7.66 o -2 2 2 27.49 35.83 6.72 o 1 1 2 16939.70 15971.00 51.59 o 0 2 2 22.28 25.03 6.32 o -3 3 2 3416.76 3648.13 9.57 o -2 3 2 94.22 94.62 6.98 o -3 2 2 92.60 103.58 5.14 o -1 3 2 68.22 70.94 6.99 o 1 2 2 68.94 72.26 5.80 o 0 3 2 2978.48 3083.63 10.20 o -4 4 2 46.28 49.56 5.93 o -3 4 2 53.07 57.31 6.06 o -4 3 2 54.71 55.59 5.14 o -2 4 2 1826.59 1537.04 8.81 o 2 2 2 1798.10 1651.36 6.95 o -1 4 2 35.64 36.90 6.19 o 1 3 2 34.53 31.10 6.46 o 0 4 2 90.31 87.47 6.98 o -5 5 2 95.21 94.58 6.06 o -4 5 2 4890.71 4923.68 11.27 o -5 4 2 4923.75 4854.39 9.64 o -3 5 2 53.65 55.37 7.25 o -5 3 2 52.64 53.79 5.67 o -2 5 2 115.29 112.10 6.19 o 2 3 2 115.77 106.70 6.32 o -1 5 2 5079.44 5077.67 11.65 o 1 4 2 5099.38 4963.46 11.64 o 0 5 2 47.95 51.67 6.46 o -6 6 2 5.45 4.61 6.72 < -5 6 2 78.15 80.22 6.45 o -6 5 2 78.18 77.59 6.19 o -4 6 2 100.38 96.40 7.52 o -6 4 2 99.02 101.67 5.80 o -3 6 2 260.76 235.28 7.65 o 3 3 2 249.55 259.98 6.60 o -2 6 2 175.10 175.10 6.85 o 2 4 2 177.58 169.04 6.72 o -1 6 2 37.82 47.31 7.25 o 1 5 2 38.49 44.54 7.38 o 0 6 2 2.84 10.41 6.59 < -7 7 2 26.78 29.38 7.91 o -6 7 2 107.91 104.33 7.64 o -7 6 2 105.56 107.75 6.98 o -5 7 2 3333.16 3306.66 10.67 o -7 5 2 3340.66 3272.83 9.20 o -4 7 2 28.67 30.56 7.90 o -7 4 2 28.85 35.70 5.93 o -3 7 2 30.99 31.62 7.64 o 3 4 2 29.84 27.53 6.85 o -2 7 2 3087.67 3058.14 10.03 o 2 5 2 3093.95 2950.01 9.76 o -1 7 2 54.12 50.61 6.85 o 1 6 2 56.10 46.52 7.25 o 0 7 2 59.05 56.51 6.98 o -8 8 2 42.35 45.19 8.43 o -7 8 2 442.71 444.63 8.31 o -8 7 2 445.23 452.65 8.31 o -6 8 2 38.38 41.49 9.75 o -8 6 2 38.21 32.40 6.72 o -5 8 2 73.51 66.13 8.56 o -8 5 2 74.98 74.03 6.45 o -4 8 2 1746.27 1733.49 9.95 o 4 4 2 1731.81 1778.41 8.22 o -3 8 2 38.27 40.06 7.38 o 3 5 2 36.67 27.93 7.38 o -2 8 2 21.42 22.66 8.17 < 2 6 2 21.84 18.44 8.04 < -1 8 2 449.45 462.27 7.78 o 1 7 2 456.53 444.45 7.92 o 0 8 2 73.83 68.10 7.77 o -9 9 2 20.70 23.84 9.22 < -8 9 2 80.60 82.07 8.56 o -9 8 2 83.52 73.38 8.70 o -7 9 2 49.78 49.67 8.70 o -9 7 2 51.52 55.60 8.17 o -6 9 2 87.38 105.93 9.49 o -9 6 2 91.77 81.03 7.51 o -5 9 2 44.27 50.72 9.35 o -9 5 2 43.10 47.69 7.51 o -4 9 2 43.64 46.37 9.09 o 4 5 2 45.15 52.56 7.90 o -3 9 2 79.47 91.57 8.43 o 3 6 2 81.82 90.78 8.04 o -2 9 2 59.00 59.41 7.77 o 2 7 2 57.07 48.48 8.56 o -1 9 2 69.95 71.54 8.70 o 1 8 2 66.43 64.16 8.17 o 0 9 2 30.85 47.16 9.22 o -10 10 2 52.27 38.86 12.38 o -9 10 2 36.60 35.70 10.41 o -10 9 2 35.36 32.14 9.75 o -8 10 2 965.89 960.80 11.36 o -10 8 2 960.73 983.55 12.29 o -7 10 2 37.75 42.95 9.62 o -10 7 2 37.84 36.23 8.56 o -6 10 2 47.10 55.73 9.88 o -10 6 2 44.58 52.83 10.28 o -5 10 2 133.61 127.29 11.07 o 5 5 2 128.95 131.12 8.70 o -4 10 2 69.93 71.27 10.54 o 4 6 2 72.70 72.32 8.83 o -3 10 2 80.27 78.37 9.48 o 3 7 2 80.49 76.79 9.22 o -2 10 2 993.91 996.27 10.30 o 2 8 2 991.29 1000.66 10.44 o -1 10 2 36.78 46.37 9.62 o 1 9 2 38.02 38.73 9.62 o 0 10 2 34.92 31.62 12.91 < -8 11 2 79.03 87.86 11.46 o -11 8 2 80.29 80.35 10.80 o -7 11 2 608.27 635.71 11.61 o -11 7 2 612.64 644.53 11.22 o -6 11 2 50.27 42.15 11.59 o -11 6 2 49.48 47.16 9.48 o -5 11 2 40.44 49.27 12.52 o 5 6 2 40.82 41.89 10.28 o -4 11 2 587.62 582.62 12.93 o 4 7 2 590.59 601.60 11.88 o -3 11 2 36.73 30.04 12.12 < 3 8 2 35.41 38.21 10.80 o 0 0 3 38.81 57.06 9.22 o -1 1 3 106.27 88.10 5.54 o 0 1 3 116.71 80.70 5.67 o -2 2 3 47.17 38.21 5.40 o -1 2 3 81.55 81.99 4.61 o 1 1 3 81.97 73.03 5.93 o 0 2 3 37.64 41.51 5.40 o -3 3 3 1414.64 1474.61 6.97 o -2 3 3 1180.02 1139.47 8.16 o -3 2 3 1174.53 1214.14 6.82 o -1 3 3 1667.36 1650.42 8.09 o 1 2 3 1651.96 1664.47 7.29 o 0 3 3 1996.49 2055.54 8.76 o -4 4 3 1235.23 1232.33 7.33 o -3 4 3 891.71 899.02 7.53 o -4 3 3 909.75 888.09 5.68 o -2 4 3 106.34 100.57 6.99 o 2 2 3 106.61 103.08 5.01 o -1 4 3 624.29 620.99 7.43 o 1 3 3 627.12 604.42 5.97 o 0 4 3 1648.79 1603.09 7.82 o -5 5 3 39.09 36.38 5.67 o -4 5 3 578.25 589.71 7.53 o -5 4 3 581.99 592.89 5.81 o -3 5 3 172.92 178.23 6.99 o -5 3 3 176.18 172.68 5.14 o -2 5 3 151.20 154.67 6.99 o 2 3 3 157.12 148.86 5.54 o -1 5 3 557.49 551.04 7.66 o 1 4 3 554.16 573.10 6.87 o 0 5 3 99.20 94.71 6.85 o -6 6 3 120.23 115.00 6.45 o -5 6 3 90.12 88.68 7.25 o -6 5 3 93.31 102.13 6.06 o -4 6 3 732.27 707.34 7.67 o -6 4 3 721.98 752.58 5.82 o -3 6 3 6.62 13.96 7.11 < 3 3 3 6.53 12.25 5.53 < -2 6 3 719.91 696.29 8.46 o 2 4 3 716.05 698.47 7.67 o -1 6 3 99.36 99.62 6.85 o 1 5 3 91.58 105.29 6.98 o 0 6 3 55.43 51.54 6.46 o -7 7 3 1015.44 1000.33 7.94 o -6 7 3 977.82 975.76 8.45 o -7 6 3 986.19 990.51 7.52 o -5 7 3 510.42 516.47 8.31 o -7 5 3 515.85 522.29 6.07 o -4 7 3 833.74 832.33 8.47 o -7 4 3 831.29 831.81 6.62 o -3 7 3 1039.23 1049.71 8.98 o 3 4 3 1038.53 1041.54 7.79 o -2 7 3 435.37 407.30 8.45 o 2 5 3 429.15 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108.90 110.80 5.80 o -2 5 7 79.66 85.39 6.85 o 2 3 7 83.99 72.48 5.53 o -1 5 7 28.34 23.58 6.59 o 1 4 7 28.29 32.15 6.19 o 0 5 7 81.21 87.33 6.45 o -6 6 7 8.87 21.08 6.72 o -5 6 7 62.45 67.97 7.25 o -6 5 7 67.73 67.32 6.46 o -4 6 7 285.97 272.41 6.99 o -6 4 7 277.79 282.83 5.93 o -3 6 7 4.46 7.11 6.98 < 3 3 7 4.59 3.95 5.93 < -2 6 7 292.87 284.24 7.38 o 2 4 7 294.48 293.48 6.20 o -1 6 7 54.79 48.75 6.85 o 1 5 7 48.11 49.41 6.98 o 0 6 7 7.73 8.96 7.51 < -7 7 7 428.89 421.61 7.80 o -6 7 7 588.60 595.81 8.17 o -7 6 7 591.80 595.81 7.78 o -5 7 7 40.52 31.75 7.90 o -7 5 7 41.08 42.16 6.72 o -4 7 7 329.01 318.96 7.53 o -7 4 7 327.54 322.93 6.87 o -3 7 7 564.93 564.47 8.17 o 3 4 7 563.10 572.12 7.12 o -2 7 7 42.09 38.07 7.64 o 2 5 7 41.12 39.92 7.11 o -1 7 7 332.14 334.57 8.19 o 1 6 7 331.98 335.22 7.79 o 0 7 7 781.09 761.80 9.09 o -8 8 7 69.70 73.40 8.96 o -7 8 7 10.62 0.40 8.43 < -8 7 7 10.46 7.90 8.30 < -6 8 7 127.76 130.23 8.96 o -8 6 7 123.36 123.37 8.30 o -5 8 7 70.09 75.49 8.04 o -8 5 7 75.34 70.09 7.51 o -4 8 7 3.65 -2.24 8.30 < 4 4 7 3.69 5.27 7.64 < -3 8 7 74.57 76.81 8.04 o 3 5 7 73.33 67.06 7.90 o -2 8 7 182.21 188.80 8.96 o 2 6 7 193.49 173.65 8.83 o -1 8 7 19.81 28.19 9.75 < 1 7 7 20.20 32.67 9.62 o 0 8 7 130.53 111.18 11.59 o -6 9 7 3.42 5.93 9.35 < -9 6 7 3.48 11.85 8.69 < -5 9 7 282.98 278.18 9.24 o -9 5 7 287.80 285.58 8.84 o -4 9 7 509.05 479.53 9.36 o 4 5 7 496.91 498.50 9.62 o -3 9 7 8.54 20.15 9.62 < 3 6 7 8.58 10.27 10.41 < 0 0 8 1308.19 1335.54 11.39 o -1 1 8 22.24 20.55 5.40 o 0 1 8 8.78 13.96 5.40 < -2 2 8 211.27 210.71 6.46 o -1 2 8 1335.21 1416.03 6.75 o 1 1 8 1357.28 1351.02 7.28 o 0 2 8 156.32 152.54 6.72 o -3 3 8 462.43 468.04 6.20 o -2 3 8 124.64 118.15 6.45 o -3 2 8 126.45 128.43 6.45 o -1 3 8 51.45 58.65 5.93 o 1 2 8 50.79 45.21 6.19 o 0 3 8 482.32 489.47 6.33 o -4 4 8 24.74 32.80 5.93 o -3 4 8 115.60 106.46 6.59 o -4 3 8 112.78 113.18 5.93 o -2 4 8 1125.82 1093.30 7.54 o 2 2 8 1110.10 1124.12 6.88 o -1 4 8 92.31 87.89 6.06 o 1 3 8 94.00 100.41 6.33 o 0 4 8 12.33 12.91 6.19 < -5 5 8 33.97 34.38 7.11 o -4 5 8 742.14 780.61 7.92 o -5 4 8 755.60 750.17 6.73 o -3 5 8 60.57 52.96 6.98 o -5 3 8 58.98 67.58 5.93 o -2 5 8 50.87 62.84 6.85 o 2 3 8 52.99 55.60 6.19 o -1 5 8 723.38 765.28 7.26 o 1 4 8 735.50 750.02 7.26 o 0 5 8 35.90 32.41 6.98 o -6 6 8 161.79 157.59 7.38 o -5 6 8 120.70 128.21 7.91 o -6 5 8 121.37 122.15 6.72 o -4 6 8 178.66 170.09 7.51 o -6 4 8 179.66 179.18 6.72 o -3 6 8 379.17 387.46 7.91 o 3 3 8 379.44 379.94 6.99 o -2 6 8 116.04 113.49 7.91 o 2 4 8 115.11 113.36 6.46 o -1 6 8 123.41 111.21 7.64 o 1 5 8 122.92 121.62 6.85 o 0 6 8 135.01 127.04 8.43 o -7 7 8 5.06 8.69 8.30 < -6 7 8 24.46 34.52 8.56 o -7 6 8 23.94 28.33 7.91 o -5 7 8 402.65 399.55 8.31 o -7 5 8 391.59 413.56 7.65 o -4 7 8 43.57 52.44 7.77 o -7 4 8 44.86 49.41 7.25 o -3 7 8 82.63 82.59 8.04 o 3 4 8 81.20 76.66 7.11 o -2 7 8 392.29 368.19 8.31 o 2 5 8 383.31 407.65 7.65 o -1 7 8 61.67 70.21 8.56 o 1 6 8 62.55 59.40 8.03 o 0 7 8 3.49 8.56 9.09 < -6 8 8 76.72 73.25 8.96 o -8 6 8 73.74 80.62 8.83 o -5 8 8 26.59 31.62 8.96 o -8 5 8 26.52 31.88 8.04 o -4 8 8 317.47 328.30 9.36 o 4 4 8 326.77 303.76 8.31 o -3 8 8 40.21 32.93 8.69 o 3 5 8 39.15 38.07 8.30 o -2 8 8 62.35 64.16 9.35 o 2 6 8 64.15 66.93 8.96 o 0 0 9 2.95 -4.35 9.75 < -1 1 9 5.60 12.91 5.80 < 0 1 9 2.74 11.59 6.32 < -2 2 9 294.28 295.84 6.98 o -1 2 9 5.17 10.80 5.93 < 1 1 9 5.21 10.01 6.45 < 0 2 9 115.62 119.37 7.39 o -3 3 9 17.94 19.23 6.59 < -2 3 9 165.37 168.48 6.46 o -3 2 9 160.64 176.78 6.99 o -1 3 9 349.18 368.07 6.46 o 1 2 9 361.37 343.70 6.59 o 0 3 9 7.17 11.33 6.45 < -4 4 9 48.92 53.35 7.11 o -3 4 9 171.55 156.80 7.51 o -4 3 9 164.09 171.82 6.72 o -2 4 9 8.98 11.59 6.85 < 2 2 9 9.00 5.01 6.32 < -1 4 9 130.86 138.12 6.72 o 1 3 9 134.61 129.69 6.72 o 0 4 9 24.68 30.56 6.59 o -5 5 9 196.80 203.69 8.43 o -4 5 9 13.89 18.57 7.90 < -5 4 9 13.96 14.49 6.59 < -3 5 9 113.10 111.00 7.51 o -5 3 9 113.10 124.71 6.59 o -2 5 9 211.21 185.36 7.77 o 2 3 9 209.56 212.63 6.59 o -1 5 9 8.94 14.88 7.38 < 1 4 9 8.93 11.86 7.11 < 0 5 9 133.99 136.03 7.25 o -6 6 9 1.73 10.93 8.43 < -5 6 9 140.54 141.98 8.70 o -6 5 9 138.59 148.18 7.38 o -4 6 9 126.96 129.37 8.04 o -6 4 9 130.05 127.39 7.25 o -3 6 9 6.56 3.03 7.64 < 3 3 9 6.44 10.80 7.11 < -2 6 9 80.62 76.56 8.17 o 2 4 9 79.35 71.56 7.51 o -1 6 9 232.65 241.89 8.56 o 1 5 9 233.85 230.56 7.38 o 0 6 9 4.47 10.54 8.96 < -5 7 9 1.59 15.81 9.22 < -7 5 9 1.55 6.72 7.77 < -4 7 9 67.88 71.13 8.56 o -7 4 9 69.03 79.95 7.90 o -3 7 9 28.10 30.96 9.09 o 3 4 9 27.80 26.09 8.04 o -2 7 9 3.05 5.01 9.09 < 2 5 9 3.22 10.93 8.03 < 0 0 10 1000.11 1041.66 12.82 o -1 1 10 231.31 248.85 7.11 o 0 1 10 117.39 123.01 6.72 o -2 2 10 178.84 168.21 7.38 o -1 2 10 591.66 558.95 7.13 o 1 1 10 576.21 595.97 8.05 o 0 2 10 232.49 235.22 6.98 o -3 3 10 747.21 755.30 7.66 o -2 3 10 213.59 202.20 8.04 o -3 2 10 212.26 218.00 6.72 o -1 3 10 93.70 102.57 7.12 o 1 2 10 94.25 94.13 7.12 o 0 3 10 785.77 826.65 7.92 o -4 4 10 240.76 233.93 7.51 o -3 4 10 205.62 184.01 8.04 o -4 3 10 206.99 203.78 7.78 o -2 4 10 450.29 459.69 8.44 o 2 2 10 462.09 437.49 7.12 o -1 4 10 222.72 220.89 8.04 o 1 3 10 222.04 219.57 7.64 o 0 4 10 96.71 92.95 7.52 o -5 5 10 61.72 62.21 9.49 o -4 5 10 355.69 322.05 9.10 o -5 4 10 344.83 350.28 7.51 o -3 5 10 131.94 103.80 8.69 o -5 3 10 133.95 136.21 7.51 o -2 5 10 72.34 51.00 8.43 o 2 3 10 71.34 71.95 7.25 o -1 5 10 318.17 281.91 8.83 o 1 4 10 310.00 323.34 8.04 o 0 5 10 158.95 150.82 8.17 o -3 6 10 351.44 359.83 18.72 o 0 0 11 2.81 23.97 12.91 < -1 1 11 38.76 41.64 7.64 o 0 1 11 78.40 78.90 8.17 o -2 2 11 43.48 50.32 7.38 o -1 2 11 8.28 16.07 7.77 < 1 1 11 8.28 7.51 8.30 < 0 2 11 25.27 21.74 7.77 < -3 3 11 3.38 6.19 9.22 < -2 3 11 32.60 35.18 8.56 o -3 2 11 32.89 40.58 7.77 o -1 3 11 67.49 69.81 8.83 o 1 2 11 66.91 64.81 8.03 o 0 3 11 3.19 15.41 8.30 < 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