data_K2SO4 _chemical_name_systematic 'Potassium sulfate - high-temperature phase' _chemical_formula_structural 'K2 S O4' _chemical_formula_sum 'K2 O4 S' _publ_section_title ; Structure Reinvestigation of the High-Temperature Form of K~2~ S O~4~ ; loop_ _publ_author_name 'Miyake, M' 'Morikawa, H' 'Iwai, S I' _journal_name_full 'Acta Crystallographica B (24,1968-38,1982)' _journal_coden_ASTM ACBCAR _journal_volume 36 _journal_year 1980 _journal_page_first 532 _journal_page_last 536 _cell_length_a 5.947(2) _cell_length_b 5.947(2) _cell_length_c 8.375(3) _cell_angle_alpha 90 _cell_angle_beta 90 _cell_angle_gamma 120 _cell_volume 256.5 _cell_formula_units_Z 2 _exptl_crystal_density_meas 2.26 _symmetry_space_group_name_H-M 'P 63/m m c' _symmetry_Int_Tables_number 194 _symmetry_cell_setting hexagonal loop_ _symmetry_equiv_pos_as_xyz 'x,y,z' '-y,x-y,z' 'y-x,-x,z' '-y,-x,z' 'y-x,y,z' 'x,x-y,z' '-x,-y,-z' 'y,y-x,-z' 'x-y,x,-z' 'y,x,-z' 'x-y,-y,-z' '-x,y-x,-z' '-x,-y,1/2+z' 'y,y-x,1/2+z' 'x-y,x,1/2+z' 'y,x,1/2+z' 'x-y,-y,1/2+z' '-x,y-x,1/2+z' 'x,y,1/2-z' '-y,x-y,1/2-z' 'y-x,-x,1/2-z' '-y,-x,1/2-z' 'y-x,y,1/2-z' 'x,x-y,1/2-z' loop_ _atom_type_symbol _atom_type_oxidation_number K1+ 1.000 S6+ 6.000 O2- -2.000 loop_ _atom_site_label _atom_site_type_symbol _atom_site_symmetry_multiplicity _atom_site_Wyckoff_symbol _atom_site_fract_x _atom_site_fract_y _atom_site_fract_z _atom_site_occupancy _atom_site_attached_hydrogens _atom_site_calc_flag K1 K1+ 2 a 0. 0. 0. 1. 0 d K2 K1+ 2 d 0.6667 0.3333 0.25 1. 0 d S1 S6+ 2 c 0.3333 0.6667 0.25 1. 0 d O1 O2- 4 f 0.3333 0.6667 0.410(5) 1. 0 d O2 O2- 12 k 0.212(2) -0.212(2) 0.188(3) 0.333 0 d _refine_ls_R_factor_all 0.086 data_K2SO4 - II _chemical_name_systematic 'Potassium sulfate - $-beta' _chemical_formula_structural 'K2 S O4' _chemical_formula_sum 'K2 O4 S' _publ_section_title ; The crystal structures of $-beta-K~2~ S O~4~ and of $-beta K~2~ P O~3~ F ; _publ_author_name 'Robinson, M T' _journal_name_full 'Journal of Physical Chemistry' _journal_coden_ASTM JPCHAX _journal_volume 62 _journal_year 1958 _journal_page_first 925 _journal_page_last 928 _cell_length_a 7.456(6) _cell_length_b 10.08(1) _cell_length_c 5.776(5) _cell_angle_alpha 90 _cell_angle_beta 90 _cell_angle_gamma 90 _cell_volume 434.1 _cell_formula_units_Z 4 _exptl_crystal_density_meas 2.62(0) _symmetry_space_group_name_H-M 'P n a m' _symmetry_Int_Tables_number 62 _symmetry_cell_setting orthorhombic loop_ _symmetry_equiv_pos_as_xyz 'x,y,z' '1/2+x,1/2-y,1/2-z' '-x,-y,1/2+z' '1/2-x,1/2+y,-z' '-x,-y,-z' '1/2-x,1/2+y,1/2+z' 'x,y,1/2-z' '1/2+x,1/2-y,z' loop_ _atom_type_symbol _atom_type_oxidation_number K1+ 1.000 S6+ 6.000 O2- -2.000 loop_ _atom_site_label _atom_site_type_symbol _atom_site_symmetry_multiplicity _atom_site_Wyckoff_symbol _atom_site_fract_x _atom_site_fract_y _atom_site_fract_z _atom_site_occupancy _atom_site_attached_hydrogens _atom_site_calc_flag K1 K1+ 4 c 0.1768(25) 0.0818(128) 0.25 1. 0 d K2 K1+ 4 c -0.0115(19) 0.7046(15) 0.25 1. 0 d S1 S6+ 4 c 0.2358(36) 0.4155(161) 0.25 1. 0 d O1 O2- 4 c 0.0315(74) 0.4032(87) 0.25 1. 0 d O2 O2- 4 c 0.2970(89) 0.5579(44) 0.25 1. 0 d O3 O2- 8 d 0.2997(46) 0.3484(28) 0.0410(41) 1. 0 d _refine_ls_R_factor_all 0.095 data_K2SO4 III _chemical_name_systematic 'Potassium sulfate(VI)' _chemical_formula_structural 'K2 (S O4)' _chemical_formula_sum 'K2 O4 S' _publ_section_title ; Structure of potassium sulfate at temperatures from 296K down to 15K ; loop_ _publ_author_name 'Ojima, K' 'Nishihata, Y' 'Sawada, A' _journal_name_full 'Acta Crystallographica B (39,1983-)' _journal_coden_ASTM ASBSDK _journal_volume 51 _journal_year 1995 _journal_page_first 287 _journal_page_last 293 _cell_length_a 5.7704(3) _cell_length_b 10.0712(9) _cell_length_c 7.4776(4) _cell_angle_alpha 90 _cell_angle_beta 90 _cell_angle_gamma 90 _cell_volume 434.6 _cell_formula_units_Z 4 _symmetry_space_group_name_H-M 'P m c n' _symmetry_Int_Tables_number 62 _symmetry_cell_setting orthorhombic loop_ _symmetry_equiv_pos_as_xyz 'x,y,z' '1/2-x,1/2-y,1/2+z' '1/2+x,-y,-z' '-x,1/2+y,1/2-z' '-x,-y,-z' '1/2+x,1/2+y,1/2-z' '1/2-x,y,z' 'x,1/2-y,1/2+z' loop_ _atom_type_symbol _atom_type_oxidation_number K1+ 1.000 S6+ 6.000 O2- -2.000 loop_ _atom_site_label _atom_site_type_symbol _atom_site_symmetry_multiplicity _atom_site_Wyckoff_symbol _atom_site_fract_x _atom_site_fract_y _atom_site_fract_z _atom_site_occupancy _atom_site_attached_hydrogens _atom_site_calc_flag K1 K1+ 4 c 0.25 0.08935(6) 0.17398(7) 1. 0 d K2 K1+ 4 c 0.25 0.79550(5) 0.48915(7) 1. 0 d S1 S6+ 4 c 0.25 0.41985(5) 0.23295(7) 1. 0 d O1 O2- 4 c 0.25 0.4162(3) 0.0368(3) 1. 0 d O2 O2- 4 c 0.25 0.5585(2) 0.2976(3) 1. 0 d O3 O2- 8 d 0.0412(3) 0.3522(2) 0.3017(2) 1. 0 d loop_ _atom_site_aniso_label _atom_site_aniso_U_11 _atom_site_aniso_U_12 _atom_site_aniso_U_13 _atom_site_aniso_U_22 _atom_site_aniso_U_23 _atom_site_aniso_U_33 K1 0.0169(2) 0. 0. 0.0197(2) 0.0006(2) 0.0164(2) K2 0.0185(2) 0. 0. 0.0150(1) -0.0005(1) 0.0132(1) S1 0.0101(1) 0. 0. 0.0095(1) -0.0005(1) 0.0101(1) O1 0.0382(1) 0. 0. 0.0318(10) -0.0019(7) 0.0089(5) O2 0.0254(8) 0. 0. 0.0120(6) -0.0044(5) 0.0210(7) O3 0.0140(4) -0.0063(4) 0.0032(5) 0.0227(5) 0.0052(5) 0.0298(6) _refine_ls_R_factor_all 0.036