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Two novel compounds, K2Cu3(SO4)4 and KNaCu(SO4)2, were synthesized. The crystal structure of K2Cu3(SO4)4 is based on a [Cu3(SO4)4]2− framework with relatively simple bond topology, but with four different CuOn polyhedron geometries. The K+ cations reside in the pores of the framework. The [Cu(SO4)2]2− framework in KNaCu(SO4)2 encloses large elliptical channels running along [001]. Larger channels are occupied by K+, whereas smaller ones are filled by Na+. The bond-valence energy landscape (BVEL) approach has been demonstrated to be a useful method for the prediction of the mobility of alkali metal ions in various structures. By means of this approach, the threshold energies at which isosurfaces begin to percolate as well as the directions of possible ion migration in the structures were determined. The modelling of ion migration maps by the analysis of the procrystal electron-density distribution was used to rapidly identify ion migration pathways and limiting barriers between particular crystallographic sites in the structures under consideration. Its consistency and complementarity with the BVEL method have been demonstrated. Both approaches revealed a relatively low ion threshold percolation and migration barriers in the cryptochalcite-type structures [cryptochalcite: K2Cu5O(SO4)5]. Hence, one may assume that its 3D framework type is suited for ion transport applications. The review of all known members of the groups of anhydrous copper sulfates did not reveal a correlation between the porosity of the framework structures and a manifestation of ion conduction properties.

Supporting information

cif

Crystallographic Information File (CIF) https://doi.org/10.1107/S1600576720015824/iu5009sup1.cif
Contains datablocks K2Cu3SO44, KNaCuSO42

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S1600576720015824/iu5009K2Cu3SO44sup2.hkl
Contains datablock K2Cu3SO44

hkl

Structure factor file (CIF format) https://doi.org/10.1107/S1600576720015824/iu5009KNaCuSO42sup3.hkl
Contains datablock KNaCuSO42

txt

Text file https://doi.org/10.1107/S1600576720015824/iu5009sup4.txt
The migration pathways, electron density profiles as well as the lowest barrier periodic migration maps for the full set of the structures

pdf

Portable Document Format (PDF) file https://doi.org/10.1107/S1600576720015824/iu5009sup5.pdf
Figure S1

CCDC references: 2047892; 2047893

Computing details top

For both structures, program(s) used to refine structure: SHELXL2018/3 (Sheldrick, 2018).

(K2Cu3SO44) top
Crystal data top
CuK0.67O5.33S1.33F(000) = 2536
Mr = 217.69Dx = 3.376 Mg m3
Monoclinic, C2/cMo Kα radiation, λ = 0.71073 Å
a = 13.6088 (5) ÅCell parameters from 2344 reflections
b = 11.9627 (5) Åθ = 2.6–28.0°
c = 17.0791 (7) ŵ = 6.32 mm1
β = 112.450 (1)°T = 296 K
V = 2569.72 (18) Å3Prism
Z = 24
Data collection top
Bruker APEX 2 Duo
diffractometer
θmax = 28.0°, θmin = 2.6°
12218 measured reflectionsh = 1717
3093 independent reflectionsk = 1515
2746 reflections with I > 2σ(I)l = 2221
Rint = 0.028
Refinement top
Refinement on F20 restraints
Least-squares matrix: full w = 1/[σ2(Fo2) + (0.0307P)2 + 6.8205P]
where P = (Fo2 + 2Fc2)/3
R[F2 > 2σ(F2)] = 0.023(Δ/σ)max < 0.001
wR(F2) = 0.061Δρmax = 1.40 e Å3
S = 1.03Δρmin = 1.33 e Å3
3093 reflectionsExtinction correction: SHELXL-2018/3 (Sheldrick 2018), Fc*=kFc[1+0.001xFc2λ3/sin(2θ)]-1/4
231 parametersExtinction coefficient: 0.00040 (4)
Special details top

Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Cu10.18027 (3)0.37478 (2)0.37549 (2)0.01083 (9)
Cu20.0000000.0000000.5000000.01035 (11)
Cu30.21091 (3)0.11938 (2)0.38223 (2)0.01233 (9)
Cu40.5000000.17223 (4)0.2500000.02095 (13)
S10.15707 (5)0.12584 (5)0.43030 (4)0.00891 (13)
S20.25976 (5)0.62829 (5)0.42973 (4)0.00921 (13)
S30.39868 (5)0.35893 (5)0.32593 (4)0.01143 (13)
S40.07333 (5)0.45584 (5)0.17289 (4)0.01247 (14)
K10.48159 (6)0.16244 (5)0.47511 (4)0.02471 (15)
K20.32922 (9)0.63841 (6)0.26592 (6)0.0442 (2)
O10.44236 (14)0.45639 (15)0.38073 (11)0.0130 (4)
O20.13143 (15)0.21999 (15)0.36936 (12)0.0145 (4)
O30.32584 (16)0.29510 (16)0.35344 (13)0.0205 (4)
O40.23614 (15)0.52527 (15)0.37897 (12)0.0139 (4)
O50.07879 (16)0.12492 (14)0.47042 (13)0.0153 (4)
O60.21119 (16)0.62686 (15)0.49384 (13)0.0148 (4)
O70.20966 (16)0.71908 (15)0.36657 (12)0.0163 (4)
O80.14523 (15)0.02496 (15)0.37808 (13)0.0162 (4)
O90.48903 (17)0.28597 (16)0.32932 (13)0.0199 (4)
O100.11225 (17)0.37378 (16)0.24151 (14)0.0209 (5)
O110.26564 (15)0.13447 (15)0.49377 (13)0.0165 (4)
O120.34385 (18)0.40389 (16)0.24056 (13)0.0206 (4)
O130.13710 (17)0.45542 (19)0.12049 (14)0.0256 (5)
O140.37427 (15)0.64563 (16)0.46935 (14)0.0193 (4)
O150.03675 (16)0.43245 (19)0.11633 (14)0.0260 (5)
O160.07908 (19)0.57047 (16)0.20782 (14)0.0252 (5)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Cu10.01413 (16)0.00772 (15)0.01048 (17)0.00134 (11)0.00450 (13)0.00070 (11)
Cu20.0139 (2)0.0104 (2)0.0073 (2)0.00380 (16)0.00475 (17)0.00205 (16)
Cu30.02120 (17)0.00811 (15)0.00734 (17)0.00284 (12)0.00507 (13)0.00014 (11)
Cu40.0423 (3)0.0084 (2)0.0185 (3)0.0000.0187 (2)0.000
S10.0122 (3)0.0062 (3)0.0090 (3)0.0000 (2)0.0048 (2)0.0004 (2)
S20.0128 (3)0.0072 (3)0.0081 (3)0.0006 (2)0.0045 (2)0.0001 (2)
S30.0180 (3)0.0088 (3)0.0068 (3)0.0030 (2)0.0040 (2)0.0008 (2)
S40.0155 (3)0.0104 (3)0.0129 (3)0.0012 (2)0.0070 (3)0.0006 (2)
K10.0364 (4)0.0189 (3)0.0179 (3)0.0024 (3)0.0093 (3)0.0045 (2)
K20.0934 (7)0.0227 (3)0.0372 (5)0.0136 (4)0.0480 (5)0.0092 (3)
O10.0190 (9)0.0122 (8)0.0071 (9)0.0034 (7)0.0043 (7)0.0031 (7)
O20.0198 (9)0.0100 (8)0.0130 (10)0.0017 (7)0.0055 (8)0.0029 (7)
O30.0242 (10)0.0179 (10)0.0177 (11)0.0091 (8)0.0060 (9)0.0025 (8)
O40.0218 (9)0.0090 (8)0.0127 (10)0.0015 (7)0.0084 (8)0.0020 (7)
O50.0218 (10)0.0131 (9)0.0157 (10)0.0039 (7)0.0124 (8)0.0028 (7)
O60.0195 (9)0.0166 (9)0.0092 (10)0.0012 (7)0.0066 (8)0.0004 (7)
O70.0291 (11)0.0092 (8)0.0098 (10)0.0039 (8)0.0066 (8)0.0018 (7)
O80.0203 (9)0.0112 (8)0.0164 (11)0.0016 (7)0.0062 (8)0.0041 (7)
O90.0312 (11)0.0126 (9)0.0167 (11)0.0045 (8)0.0100 (9)0.0022 (8)
O100.0253 (11)0.0146 (9)0.0233 (12)0.0021 (8)0.0100 (9)0.0049 (8)
O110.0138 (9)0.0159 (9)0.0168 (11)0.0007 (7)0.0024 (8)0.0005 (8)
O120.0357 (12)0.0153 (9)0.0072 (10)0.0000 (9)0.0042 (9)0.0002 (8)
O130.0249 (11)0.0346 (12)0.0230 (12)0.0078 (9)0.0154 (10)0.0045 (10)
O140.0125 (9)0.0178 (9)0.0253 (12)0.0005 (7)0.0047 (8)0.0041 (8)
O150.0188 (10)0.0371 (13)0.0203 (12)0.0044 (9)0.0052 (9)0.0031 (10)
O160.0409 (13)0.0120 (9)0.0224 (12)0.0030 (9)0.0118 (10)0.0036 (8)
Geometric parameters (Å, º) top
Cu1—O41.9463 (18)S2—O71.4989 (19)
Cu1—O21.9566 (18)S2—K23.2796 (10)
Cu1—O11i2.070 (2)S3—O121.463 (2)
Cu1—O102.116 (2)S3—O31.463 (2)
Cu1—O15ii2.126 (2)S3—O11.4709 (18)
Cu1—O32.355 (2)S3—O91.491 (2)
Cu1—K2iii3.6887 (8)S3—K13.3307 (9)
Cu1—K1i3.9817 (8)S3—K23.5189 (10)
Cu2—O1i1.9536 (18)S4—O101.464 (2)
Cu2—O1iv1.9536 (18)S4—O151.466 (2)
Cu2—O5v2.0129 (18)S4—O131.465 (2)
Cu2—O52.0129 (18)S4—O161.486 (2)
Cu2—O14i2.3564 (19)S4—K1x3.4078 (10)
Cu2—O14iv2.3564 (19)S4—K1xi3.4279 (9)
Cu3—O81.9331 (18)K1—O15xii2.762 (2)
Cu3—O7vi1.9500 (18)K1—O32.822 (2)
Cu3—O12iii1.959 (2)K1—O92.930 (2)
Cu3—O6i1.974 (2)K1—O5i2.9319 (19)
Cu3—O13iii2.270 (2)K1—O14xiii2.932 (2)
Cu3—K2iii3.8930 (9)K1—O13xii2.936 (2)
Cu3—K1vii3.9908 (8)K1—O6viii3.047 (2)
Cu4—O16iii1.937 (2)K1—O13iii3.065 (2)
Cu4—O16viii1.937 (2)K1—O113.093 (2)
Cu4—O91.9655 (19)K1—O16iii3.112 (2)
Cu4—O9ix1.9656 (19)K1—O15iii3.386 (2)
Cu4—K13.9488 (7)K2—O2x2.743 (2)
Cu4—K1ix3.9488 (7)K2—O122.857 (2)
S1—O111.465 (2)K2—O12.941 (2)
S1—O51.470 (2)K2—O8x2.944 (2)
S1—O81.4724 (19)K2—O10x2.942 (2)
S1—O21.4821 (18)K2—O72.945 (2)
S1—K2iii3.4301 (10)K2—O3x2.973 (2)
S2—O141.457 (2)K2—O43.005 (2)
S2—O41.4701 (18)K2—O163.264 (3)
S2—O61.479 (2)K2—O143.291 (2)
O4—Cu1—O2176.17 (8)O13xii—K1—O11105.50 (6)
O4—Cu1—O11i92.45 (8)O6viii—K1—O11161.95 (6)
O2—Cu1—O11i88.90 (8)O13iii—K1—O1168.86 (6)
O4—Cu1—O1092.45 (8)O15xii—K1—O16iii130.82 (6)
O2—Cu1—O1086.41 (8)O3—K1—O16iii67.84 (6)
O11i—Cu1—O10174.25 (8)O9—K1—O16iii53.64 (5)
O4—Cu1—O15ii93.20 (8)O5i—K1—O16iii128.78 (6)
O2—Cu1—O15ii90.50 (8)O14xiii—K1—O16iii119.33 (6)
O11i—Cu1—O15ii84.47 (8)O13xii—K1—O16iii120.57 (6)
O10—Cu1—O15ii92.26 (8)O6viii—K1—O16iii85.66 (6)
O4—Cu1—O392.10 (7)O13iii—K1—O16iii45.23 (6)
O2—Cu1—O384.13 (7)O11—K1—O16iii99.61 (6)
O11i—Cu1—O3100.17 (7)O15xii—K1—S3147.23 (5)
O10—Cu1—O382.65 (8)O3—K1—S325.86 (4)
O15ii—Cu1—O3172.80 (8)O9—K1—S326.57 (4)
O4—Cu1—K2iii130.14 (6)O5i—K1—S364.93 (4)
O2—Cu1—K2iii46.63 (6)O14xiii—K1—S371.59 (5)
O11i—Cu1—K2iii125.06 (5)O13xii—K1—S3155.52 (5)
O10—Cu1—K2iii52.84 (5)O6viii—K1—S3102.31 (4)
O15ii—Cu1—K2iii119.24 (7)O13iii—K1—S3101.95 (5)
O3—Cu1—K2iii53.57 (5)O11—K1—S395.60 (4)
O4—Cu1—K1i112.90 (6)O16iii—K1—S366.36 (4)
O2—Cu1—K1i70.65 (6)O15xii—K1—O15iii100.29 (6)
O11i—Cu1—K1i50.10 (5)O3—K1—O15iii110.71 (6)
O10—Cu1—K1i124.88 (6)O9—K1—O15iii86.11 (6)
O15ii—Cu1—K1i41.16 (6)O5i—K1—O15iii171.74 (6)
O3—Cu1—K1i139.67 (5)O14xiii—K1—O15iii123.14 (6)
K2iii—Cu1—K1i116.375 (18)O13xii—K1—O15iii77.57 (6)
O1i—Cu2—O1iv180.0O6viii—K1—O15iii62.35 (5)
O1i—Cu2—O5v88.67 (8)O13iii—K1—O15iii42.47 (6)
O1iv—Cu2—O5v91.33 (8)O11—K1—O15iii110.26 (5)
O1i—Cu2—O591.33 (8)O16iii—K1—O15iii43.14 (5)
O1iv—Cu2—O588.67 (8)S3—K1—O15iii106.90 (4)
O5v—Cu2—O5180.0O2x—K2—O12100.04 (6)
O1i—Cu2—O14i89.85 (7)O2x—K2—O1127.17 (6)
O1iv—Cu2—O14i90.15 (7)O12—K2—O147.55 (5)
O5v—Cu2—O14i78.85 (7)O2x—K2—O8x48.46 (5)
O5—Cu2—O14i101.15 (7)O12—K2—O8x51.93 (6)
O1i—Cu2—O14iv90.15 (7)O1—K2—O8x90.97 (5)
O1iv—Cu2—O14iv89.85 (7)O2x—K2—O10x58.67 (6)
O5v—Cu2—O14iv101.15 (7)O12—K2—O10x153.83 (7)
O5—Cu2—O14iv78.85 (7)O1—K2—O10x130.98 (7)
O14i—Cu2—O14iv180.00 (12)O8x—K2—O10x106.56 (6)
O8—Cu3—O7vi154.22 (8)O2x—K2—O7134.78 (6)
O8—Cu3—O12iii81.51 (9)O12—K2—O7119.76 (6)
O7vi—Cu3—O12iii90.81 (8)O1—K2—O796.82 (5)
O8—Cu3—O6i97.54 (8)O8x—K2—O7155.07 (7)
O7vi—Cu3—O6i94.31 (8)O10x—K2—O786.02 (6)
O12iii—Cu3—O6i169.46 (9)O2x—K2—O3x60.91 (6)
O8—Cu3—O13iii93.40 (8)O12—K2—O3x125.98 (7)
O7vi—Cu3—O13iii110.36 (9)O1—K2—O3x167.90 (7)
O12iii—Cu3—O13iii84.21 (9)O8x—K2—O3x89.84 (6)
O6i—Cu3—O13iii85.38 (8)O10x—K2—O3x60.00 (6)
O8—Cu3—K2iii47.19 (6)O7—K2—O3x77.75 (6)
O7vi—Cu3—K2iii134.76 (6)O2x—K2—O4165.29 (7)
O12iii—Cu3—K2iii44.77 (6)O12—K2—O474.10 (6)
O6i—Cu3—K2iii128.12 (5)O1—K2—O458.67 (5)
O13iii—Cu3—K2iii64.99 (6)O8x—K2—O4122.85 (6)
O8—Cu3—K1vii120.00 (6)O10x—K2—O4130.25 (6)
O7vi—Cu3—K1vii84.72 (6)O7—K2—O446.38 (5)
O12iii—Cu3—K1vii123.60 (7)O3x—K2—O4111.20 (6)
O6i—Cu3—K1vii48.01 (6)O2x—K2—O16110.43 (7)
O13iii—Cu3—K1vii46.55 (6)O12—K2—O1680.47 (6)
K2iii—Cu3—K1vii110.68 (2)O1—K2—O16103.77 (6)
O16iii—Cu4—O16viii102.11 (13)O8x—K2—O1694.21 (6)
O16iii—Cu4—O988.82 (9)O10x—K2—O16119.56 (6)
O16viii—Cu4—O9152.96 (9)O7—K2—O1660.95 (6)
O16iii—Cu4—O9ix152.96 (9)O3x—K2—O1664.13 (6)
O16viii—Cu4—O9ix88.82 (9)O4—K2—O1655.71 (6)
O9—Cu4—O9ix92.39 (12)O2x—K2—S2160.80 (5)
O16iii—Cu4—K150.83 (7)O12—K2—S298.77 (5)
O16viii—Cu4—K1126.46 (7)O1—K2—S269.63 (4)
O9—Cu4—K145.55 (6)O8x—K2—S2149.34 (5)
O9ix—Cu4—K1137.85 (6)O10x—K2—S2104.07 (5)
O16iii—Cu4—K1ix126.46 (7)O7—K2—S227.19 (4)
O16viii—Cu4—K1ix50.83 (7)O3x—K2—S2104.35 (5)
O9—Cu4—K1ix137.85 (6)O4—K2—S226.60 (4)
O9ix—Cu4—K1ix45.55 (6)O16—K2—S269.10 (4)
K1—Cu4—K1ix176.60 (2)O2x—K2—O14149.60 (6)
O11—S1—O5111.18 (12)O12—K2—O14100.96 (6)
O11—S1—O8110.62 (11)O1—K2—O1458.43 (5)
O5—S1—O8110.18 (11)O8x—K2—O14149.37 (6)
O11—S1—O2111.51 (11)O10x—K2—O1494.36 (6)
O5—S1—O2108.35 (11)O7—K2—O1445.30 (5)
O8—S1—O2104.80 (12)O3x—K2—O14120.31 (6)
O11—S1—K2iii107.70 (9)O4—K2—O1444.58 (5)
O5—S1—K2iii140.80 (9)O16—K2—O1494.57 (6)
O8—S1—K2iii58.56 (8)S2—K2—O1425.63 (4)
O2—S1—K2iii50.70 (8)O2x—K2—S1x24.72 (4)
O14—S2—O4110.33 (11)O12—K2—S1x77.05 (5)
O14—S2—O6111.03 (12)O1—K2—S1x114.14 (4)
O4—S2—O6111.59 (11)O8x—K2—S1x25.26 (4)
O14—S2—O7110.06 (12)O10x—K2—S1x83.29 (5)
O4—S2—O7104.24 (11)O7—K2—S1x146.42 (5)
O6—S2—O7109.39 (11)O3x—K2—S1x69.32 (4)
O14—S2—K277.61 (9)O4—K2—S1x143.27 (5)
O4—S2—K266.24 (8)O16—K2—S1x97.56 (5)
O6—S2—K2170.95 (9)S2—K2—S1x166.60 (4)
O7—S2—K263.85 (8)O14—K2—S1x167.17 (5)
O12—S3—O3111.19 (12)S3—O1—Cu2xiv141.16 (12)
O12—S3—O1105.73 (11)S3—O1—K2100.43 (9)
O3—S3—O1111.59 (12)Cu2xiv—O1—K2113.39 (8)
O12—S3—O9110.67 (12)S1—O2—Cu1134.23 (12)
O3—S3—O9109.38 (12)S1—O2—K2iii104.59 (9)
O1—S3—O9108.21 (12)Cu1—O2—K2iii102.14 (8)
O12—S3—K1156.42 (9)S3—O3—Cu1123.67 (12)
O3—S3—K157.28 (8)S3—O3—K196.86 (10)
O1—S3—K197.82 (8)Cu1—O3—K1123.44 (8)
O9—S3—K161.55 (8)S3—O3—K2iii119.96 (11)
O12—S3—K251.86 (8)Cu1—O3—K2iii86.83 (6)
O3—S3—K2116.72 (9)K1—O3—K2iii106.69 (7)
O1—S3—K255.29 (8)S2—O4—Cu1142.03 (13)
O9—S3—K2133.90 (9)S2—O4—K287.16 (8)
K1—S3—K2150.25 (3)Cu1—O4—K2130.73 (8)
O10—S4—O15111.45 (13)S1—O5—Cu2132.28 (11)
O10—S4—O13111.65 (13)S1—O5—K1i118.82 (9)
O15—S4—O13106.94 (13)Cu2—O5—K1i108.89 (8)
O10—S4—O16110.49 (13)S2—O6—Cu3i125.81 (12)
O15—S4—O16108.94 (13)S2—O6—K1xv130.60 (11)
O13—S4—O16107.20 (13)Cu3i—O6—K1xv103.19 (8)
O10—S4—K1x171.82 (9)S2—O7—Cu3xvi129.91 (12)
O15—S4—K1x76.72 (9)S2—O7—K288.96 (9)
O13—S4—K1x64.07 (9)Cu3xvi—O7—K2115.28 (8)
O16—S4—K1x65.88 (9)S1—O8—Cu3140.15 (13)
O10—S4—K1xi113.35 (9)S1—O8—K2iii96.18 (9)
O15—S4—K1xi51.40 (9)Cu3—O8—K2iii104.00 (8)
O13—S4—K1xi58.30 (9)S3—O9—Cu4131.08 (13)
O16—S4—K1xi136.08 (9)S3—O9—K191.87 (10)
K1x—S4—K1xi70.99 (2)Cu4—O9—K1105.84 (8)
O15xii—K1—O3125.53 (7)S4—O10—Cu1137.49 (12)
O15xii—K1—O9173.37 (7)S4—O10—K2iii128.93 (12)
O3—K1—O949.51 (6)Cu1—O10—K2iii92.19 (7)
O15xii—K1—O5i87.12 (6)S1—O11—Cu1i129.59 (13)
O3—K1—O5i61.51 (6)S1—O11—K1131.37 (12)
O9—K1—O5i86.38 (6)Cu1i—O11—K199.00 (7)
O15xii—K1—O14xiii108.16 (7)S3—O12—Cu3x148.79 (14)
O3—K1—O14xiii91.11 (6)S3—O12—K2104.38 (10)
O9—K1—O14xiii69.15 (6)Cu3x—O12—K2106.36 (8)
O5i—K1—O14xiii56.76 (6)S4—O13—Cu3x140.40 (14)
O15xii—K1—O13xii48.73 (6)S4—O13—K1xi96.57 (11)
O3—K1—O13xii171.46 (7)Cu3x—O13—K1xi99.30 (8)
O9—K1—O13xii135.50 (6)S4—O13—K1x90.46 (10)
O5i—K1—O13xii110.31 (6)Cu3x—O13—K1x127.34 (9)
O14xiii—K1—O13xii85.72 (6)K1xi—O13—K1x82.79 (6)
O15xii—K1—O6viii106.37 (6)S2—O14—Cu2xiv123.71 (11)
O3—K1—O6viii127.42 (6)S2—O14—K1xiii136.57 (11)
O9—K1—O6viii78.05 (6)Cu2xiv—O14—K1xiii99.65 (7)
O5i—K1—O6viii119.23 (6)S2—O14—K276.76 (9)
O14xiii—K1—O6viii62.80 (5)Cu2xiv—O14—K292.40 (7)
O13xii—K1—O6viii57.65 (6)K1xiii—O14—K2101.19 (7)
O15xii—K1—O13iii85.88 (7)S4—O15—Cu1ii138.74 (14)
O3—K1—O13iii88.13 (6)S4—O15—K1xi104.09 (11)
O9—K1—O13iii97.88 (6)Cu1ii—O15—K1xi108.40 (9)
O5i—K1—O13iii135.69 (6)S4—O15—K1x78.36 (9)
O14xiii—K1—O13iii163.02 (6)Cu1ii—O15—K1x131.68 (9)
O13xii—K1—O13iii97.21 (6)K1xi—O15—K1x79.71 (6)
O6viii—K1—O13iii104.70 (6)S4—O16—Cu4xv141.08 (15)
O15xii—K1—O1157.26 (6)S4—O16—K1x88.29 (10)
O3—K1—O1170.17 (6)Cu4xv—O16—K1x100.32 (8)
O9—K1—O11118.99 (6)S4—O16—K2103.94 (11)
O5i—K1—O1170.65 (5)Cu4xv—O16—K2113.18 (8)
O14xiii—K1—O11126.58 (6)K1x—O16—K293.63 (6)
Symmetry codes: (i) x+1/2, y+1/2, z+1; (ii) x, y, z+1/2; (iii) x+1/2, y1/2, z+1/2; (iv) x1/2, y1/2, z; (v) x, y, z+1; (vi) x, y1, z; (vii) x+1, y, z+1; (viii) x+1/2, y1/2, z; (ix) x+1, y, z+1/2; (x) x+1/2, y+1/2, z+1/2; (xi) x1/2, y+1/2, z1/2; (xii) x+1/2, y+1/2, z+1/2; (xiii) x+1, y+1, z+1; (xiv) x+1/2, y+1/2, z; (xv) x1/2, y+1/2, z; (xvi) x, y+1, z.
(KNaCuSO42) top
Crystal data top
CuKNaO8S2F(000) = 1240
Mr = 317.75Dx = 3.088 Mg m3
Monoclinic, C2/cMo Kα radiation, λ = 0.71073 Å
a = 15.9721 (10) ÅCell parameters from 1256 reflections
b = 9.4576 (6) Åθ = 2.5–28.0°
c = 9.0679 (6) ŵ = 4.49 mm1
β = 93.635 (1)°T = 296 K
V = 1367.02 (15) Å3Prism
Z = 8
Data collection top
Bruker APEX 2 Duo
diffractometer
θmax = 28.0°, θmin = 2.5°
6732 measured reflectionsh = 2121
1655 independent reflectionsk = 1212
1452 reflections with I > 2σ(I)l = 611
Rint = 0.028
Refinement top
Refinement on F2120 parameters
Least-squares matrix: full0 restraints
R[F2 > 2σ(F2)] = 0.029 w = 1/[σ2(Fo2) + (0.0372P)2 + 5.925P]
where P = (Fo2 + 2Fc2)/3
wR(F2) = 0.085(Δ/σ)max = 0.001
S = 1.19Δρmax = 0.69 e Å3
1655 reflectionsΔρmin = 0.81 e Å3
Special details top

Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/Ueq
Cu10.13626 (3)0.69568 (5)0.16921 (5)0.01462 (14)
S10.28562 (5)0.90211 (9)0.14187 (9)0.01156 (18)
S20.02639 (5)0.75891 (9)0.05052 (9)0.01176 (18)
K10.11238 (5)0.93846 (8)0.18306 (9)0.02035 (19)
Na10.2500000.7500000.5000000.0164 (4)
Na20.0000000.5682 (2)0.2500000.0236 (5)
O10.02206 (15)0.6307 (3)0.1012 (3)0.0157 (5)
O20.22461 (17)0.9931 (3)0.0629 (3)0.0262 (6)
O30.33740 (17)0.8228 (3)0.0412 (3)0.0239 (6)
O40.24175 (17)0.7929 (3)0.2289 (3)0.0244 (6)
O50.10725 (15)0.7605 (3)0.1253 (3)0.0182 (5)
O60.04543 (17)0.7551 (3)0.1080 (3)0.0207 (6)
O70.34103 (18)0.9811 (3)0.2465 (3)0.0268 (6)
O80.02487 (18)0.8821 (3)0.0935 (3)0.0231 (6)
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Cu10.0130 (2)0.0163 (2)0.0148 (2)0.00076 (16)0.00308 (16)0.00030 (16)
S10.0097 (4)0.0128 (4)0.0123 (4)0.0008 (3)0.0017 (3)0.0014 (3)
S20.0121 (4)0.0146 (4)0.0087 (4)0.0008 (3)0.0022 (3)0.0004 (3)
K10.0242 (4)0.0180 (4)0.0185 (4)0.0004 (3)0.0012 (3)0.0014 (3)
Na10.0181 (10)0.0177 (10)0.0123 (9)0.0049 (8)0.0073 (7)0.0033 (8)
Na20.0305 (12)0.0114 (10)0.0301 (12)0.0000.0110 (10)0.000
O10.0145 (12)0.0171 (12)0.0158 (12)0.0046 (10)0.0035 (9)0.0023 (10)
O20.0225 (14)0.0250 (14)0.0298 (15)0.0102 (12)0.0079 (12)0.0002 (12)
O30.0220 (14)0.0331 (16)0.0181 (13)0.0100 (12)0.0122 (11)0.0031 (11)
O40.0175 (13)0.0359 (16)0.0202 (14)0.0129 (12)0.0032 (11)0.0068 (12)
O50.0109 (12)0.0253 (14)0.0191 (13)0.0059 (10)0.0053 (10)0.0035 (11)
O60.0269 (14)0.0252 (14)0.0099 (12)0.0060 (11)0.0004 (10)0.0009 (10)
O70.0313 (16)0.0173 (13)0.0296 (15)0.0028 (12)0.0154 (12)0.0057 (11)
O80.0287 (15)0.0212 (14)0.0195 (13)0.0115 (11)0.0036 (11)0.0003 (11)
Geometric parameters (Å, º) top
Cu1—O41.965 (3)K1—O22.819 (3)
Cu1—O11.986 (3)K1—O3i2.876 (3)
Cu1—O3i1.987 (3)K1—O5vi2.897 (3)
Cu1—O5ii2.042 (3)K1—O8vi2.927 (3)
Cu1—O7iii2.191 (3)K1—O8viii2.929 (3)
Cu1—Na2iv3.4210 (16)K1—O82.995 (3)
Cu1—Na13.4454 (5)K1—O2viii3.076 (3)
Cu1—K1v3.7386 (9)K1—O63.169 (3)
Cu1—K13.9328 (9)K1—O4i3.242 (3)
S1—O21.454 (3)K1—O4viii3.401 (3)
S1—O71.461 (3)Na1—O5ix2.484 (3)
S1—O31.475 (3)Na1—O5ii2.484 (3)
S1—O41.500 (3)Na1—O42.486 (3)
S1—K1v3.6065 (12)Na1—O4x2.486 (3)
S1—K1i3.6182 (12)Na1—O2v2.534 (3)
S2—O61.451 (3)Na1—O2iii2.534 (3)
S2—O81.463 (3)Na2—O62.330 (3)
S2—O11.495 (3)Na2—O6vii2.330 (3)
S2—O51.497 (2)Na2—O1xi2.354 (3)
S2—Na23.3171 (14)Na2—O1iv2.354 (3)
S2—K1vi3.4253 (11)Na2—O7xii2.580 (3)
S2—K13.5885 (11)Na2—O7i2.580 (3)
K1—O6vii2.735 (3)
O4—Cu1—O1170.09 (12)O2v—Na1—Cu1104.82 (6)
O4—Cu1—O3i94.35 (12)O2iii—Na1—Cu175.18 (6)
O1—Cu1—O3i85.46 (11)O5ix—Na1—Cu1x35.87 (6)
O4—Cu1—O5ii81.27 (11)O5ii—Na1—Cu1x144.13 (6)
O1—Cu1—O5ii96.84 (10)O4—Na1—Cu1x145.92 (6)
O3i—Cu1—O5ii167.48 (11)O4x—Na1—Cu1x34.08 (6)
O4—Cu1—O7iii102.55 (12)O2v—Na1—Cu1x75.18 (6)
O1—Cu1—O7iii87.13 (10)O2iii—Na1—Cu1x104.82 (6)
O3i—Cu1—O7iii102.30 (12)Cu1—Na1—Cu1x180.0
O5ii—Cu1—O7iii90.12 (11)O5ix—Na1—K1v133.46 (6)
O4—Cu1—Na2iv145.93 (8)O5ii—Na1—K1v46.54 (6)
O1—Cu1—Na2iv41.95 (7)O4—Na1—K1v58.20 (7)
O3i—Cu1—Na2iv108.52 (9)O4x—Na1—K1v121.80 (7)
O5ii—Cu1—Na2iv80.76 (7)O2v—Na1—K1v44.87 (7)
O7iii—Cu1—Na2iv48.93 (8)O2iii—Na1—K1v135.13 (7)
O4—Cu1—Na145.15 (8)Cu1—Na1—K1v59.997 (14)
O1—Cu1—Na1137.71 (7)Cu1x—Na1—K1v120.003 (14)
O3i—Cu1—Na1135.80 (8)O5ix—Na1—K1iii46.54 (6)
O5ii—Cu1—Na145.47 (7)O5ii—Na1—K1iii133.46 (6)
O7iii—Cu1—Na176.58 (7)O4—Na1—K1iii121.80 (7)
Na2iv—Cu1—Na1103.287 (11)O4x—Na1—K1iii58.20 (7)
O4—Cu1—K1v64.74 (9)O2v—Na1—K1iii135.13 (7)
O1—Cu1—K1v106.57 (7)O2iii—Na1—K1iii44.87 (7)
O3i—Cu1—K1v117.26 (9)Cu1—Na1—K1iii120.003 (14)
O5ii—Cu1—K1v50.28 (8)Cu1x—Na1—K1iii59.997 (14)
O7iii—Cu1—K1v138.66 (8)K1v—Na1—K1iii180.0
Na2iv—Cu1—K1v121.18 (3)O5ix—Na1—K1i77.74 (6)
Na1—Cu1—K1v67.057 (15)O5ii—Na1—K1i102.26 (6)
O4—Cu1—K189.31 (8)O4—Na1—K1i51.68 (7)
O1—Cu1—K183.61 (7)O4x—Na1—K1i128.32 (7)
O3i—Cu1—K144.53 (8)O2v—Na1—K1i132.06 (7)
O5ii—Cu1—K1123.34 (8)O2iii—Na1—K1i47.94 (7)
O7iii—Cu1—K1146.06 (8)Cu1—Na1—K1i66.700 (14)
Na2iv—Cu1—K1124.720 (19)Cu1x—Na1—K1i113.299 (14)
Na1—Cu1—K1129.696 (17)K1v—Na1—K1i109.495 (11)
K1v—Cu1—K175.157 (11)K1iii—Na1—K1i70.505 (11)
O2—S1—O7112.14 (17)O5ix—Na1—K1xiii102.26 (6)
O2—S1—O3112.37 (17)O5ii—Na1—K1xiii77.74 (6)
O7—S1—O3108.76 (18)O4—Na1—K1xiii128.32 (7)
O2—S1—O4110.23 (17)O4x—Na1—K1xiii51.68 (7)
O7—S1—O4107.10 (17)O2v—Na1—K1xiii47.94 (7)
O3—S1—O4105.94 (17)O2iii—Na1—K1xiii132.06 (7)
O2—S1—K1v57.36 (12)Cu1—Na1—K1xiii113.300 (14)
O7—S1—K1v87.16 (13)Cu1x—Na1—K1xiii66.701 (14)
O3—S1—K1v163.93 (12)K1v—Na1—K1xiii70.505 (11)
O4—S1—K1v70.07 (12)K1iii—Na1—K1xiii109.495 (11)
O2—S1—K1i149.42 (12)K1i—Na1—K1xiii180.0
O7—S1—K1i97.92 (12)O6—Na2—O6vii81.27 (15)
O3—S1—K1i49.06 (11)O6—Na2—O1xi170.44 (9)
O4—S1—K1i63.59 (12)O6vii—Na2—O1xi103.09 (9)
K1v—S1—K1i132.82 (3)O6—Na2—O1iv103.09 (9)
O6—S2—O8111.23 (16)O6vii—Na2—O1iv170.44 (9)
O6—S2—O1110.90 (15)O1xi—Na2—O1iv73.94 (13)
O8—S2—O1107.12 (16)O6—Na2—O7xii78.64 (10)
O6—S2—O5108.46 (16)O6vii—Na2—O7xii118.10 (10)
O8—S2—O5110.82 (16)O1xi—Na2—O7xii91.81 (10)
O1—S2—O5108.27 (14)O1iv—Na2—O7xii71.32 (9)
O6—S2—Na237.08 (11)O6—Na2—O7i118.10 (10)
O8—S2—Na2123.64 (11)O6vii—Na2—O7i78.65 (10)
O1—S2—Na273.82 (10)O1xi—Na2—O7i71.32 (9)
O5—S2—Na2122.43 (11)O1iv—Na2—O7i91.81 (10)
O6—S2—K1vi107.73 (11)O7xii—Na2—O7i159.19 (15)
O8—S2—K1vi58.05 (12)O6—Na2—S2vii95.82 (9)
O1—S2—K1vi141.35 (10)O6vii—Na2—S2vii22.05 (6)
O5—S2—K1vi57.01 (11)O1xi—Na2—S2vii86.12 (6)
Na2—S2—K1vi144.82 (4)O1iv—Na2—S2vii159.50 (9)
O6—S2—K161.66 (11)O7xii—Na2—S2vii105.33 (7)
O8—S2—K154.83 (11)O7i—Na2—S2vii86.11 (7)
O1—S2—K1103.79 (10)O6—Na2—S222.05 (6)
O5—S2—K1147.75 (11)O6vii—Na2—S295.83 (9)
Na2—S2—K169.94 (3)O1xi—Na2—S2159.50 (9)
K1vi—S2—K195.05 (3)O1iv—Na2—S286.12 (6)
O6vii—K1—O2149.91 (9)O7xii—Na2—S286.11 (7)
O6vii—K1—O3i81.43 (8)O7i—Na2—S2105.33 (7)
O2—K1—O3i70.02 (9)S2vii—Na2—S2114.11 (7)
O6vii—K1—O5vi137.20 (8)O6—Na2—Cu1iv102.16 (7)
O2—K1—O5vi72.59 (8)O6vii—Na2—Cu1iv153.71 (6)
O3i—K1—O5vi140.69 (8)O1xi—Na2—Cu1iv70.14 (7)
O6vii—K1—O8vi107.02 (8)O1iv—Na2—Cu1iv34.32 (6)
O2—K1—O8vi97.13 (8)O7xii—Na2—Cu1iv39.81 (6)
O3i—K1—O8vi124.49 (8)O7i—Na2—Cu1iv120.31 (9)
O5vi—K1—O8vi49.46 (7)S2vii—Na2—Cu1iv133.50 (2)
O6vii—K1—O8viii74.90 (8)S2—Na2—Cu1iv96.031 (18)
O2—K1—O8viii133.84 (9)O6—Na2—Cu1xi153.71 (6)
O3i—K1—O8viii156.12 (9)O6vii—Na2—Cu1xi102.16 (7)
O5vi—K1—O8viii62.48 (8)O1xi—Na2—Cu1xi34.32 (6)
O8vi—K1—O8viii61.53 (10)O1iv—Na2—Cu1xi70.14 (7)
O6vii—K1—O8106.53 (8)O7xii—Na2—Cu1xi120.31 (9)
O2—K1—O871.18 (8)O7i—Na2—Cu1xi39.81 (6)
O3i—K1—O866.70 (8)S2vii—Na2—Cu1xi96.032 (18)
O5vi—K1—O890.20 (7)S2—Na2—Cu1xi133.50 (2)
O8vi—K1—O858.22 (10)Cu1iv—Na2—Cu1xi86.32 (5)
O8viii—K1—O8117.04 (10)O6—Na2—K153.05 (8)
O6vii—K1—O2viii80.53 (8)O6vii—Na2—K142.30 (7)
O2—K1—O2viii100.51 (8)O1xi—Na2—K1135.30 (6)
O3i—K1—O2viii110.88 (8)O1iv—Na2—K1134.49 (7)
O5vi—K1—O2viii87.31 (8)O7xii—Na2—K1126.67 (9)
O8vi—K1—O2viii124.61 (8)O7i—Na2—K173.86 (7)
O8viii—K1—O2viii68.60 (8)S2vii—Na2—K164.25 (4)
O8—K1—O2viii171.69 (8)S2—Na2—K158.24 (3)
O6vii—K1—O661.35 (9)Cu1iv—Na2—K1154.11 (3)
O2—K1—O6113.89 (8)Cu1xi—Na2—K1112.902 (17)
O3i—K1—O668.71 (8)O6—Na2—K1vii42.30 (7)
O5vi—K1—O6117.84 (7)O6vii—Na2—K1vii53.05 (8)
O8vi—K1—O668.75 (7)O1xi—Na2—K1vii134.49 (7)
O8viii—K1—O696.56 (8)O1iv—Na2—K1vii135.30 (6)
O8—K1—O645.82 (7)O7xii—Na2—K1vii73.86 (7)
O2viii—K1—O6141.74 (7)O7i—Na2—K1vii126.67 (9)
O6vii—K1—O4i74.68 (8)S2vii—Na2—K1vii58.24 (3)
O2—K1—O4i78.41 (8)S2—Na2—K1vii64.25 (4)
O3i—K1—O4i45.20 (7)Cu1iv—Na2—K1vii112.902 (17)
O5vi—K1—O4i135.67 (7)Cu1xi—Na2—K1vii154.11 (3)
O8vi—K1—O4i169.61 (8)K1—Na2—K1vii55.90 (4)
O8viii—K1—O4i128.13 (7)S2—O1—Cu1106.96 (14)
O8—K1—O4i111.39 (8)S2—O1—Na2iv136.96 (14)
O2viii—K1—O4i65.69 (7)Cu1—O1—Na2iv103.73 (10)
O6—K1—O4i104.25 (7)S1—O2—Na1xiv124.50 (16)
O6vii—K1—O4viii121.84 (7)S1—O2—K1130.83 (16)
O2—K1—O4viii71.54 (8)Na1xiv—O2—K195.77 (9)
O3i—K1—O4viii126.17 (8)S1—O2—K1v99.18 (14)
O5vi—K1—O4viii48.16 (7)Na1xiv—O2—K1v94.35 (9)
O8vi—K1—O4viii96.25 (7)K1—O2—K1v105.04 (9)
O8viii—K1—O4viii71.06 (8)S1—O3—Cu1i143.13 (18)
O8—K1—O4viii130.69 (7)S1—O3—K1i108.15 (14)
O2viii—K1—O4viii43.59 (7)Cu1i—O3—K1i106.49 (11)
O6—K1—O4viii164.24 (7)S1—O4—Cu1126.72 (17)
O4i—K1—O4viii91.25 (2)S1—O4—Na1129.44 (16)
O6vii—K1—S2vi128.67 (7)Cu1—O4—Na1100.77 (10)
O2—K1—S2vi79.53 (6)S1—O4—K1i91.92 (13)
O3i—K1—S2vi131.88 (6)Cu1—O4—K1i105.02 (12)
O5vi—K1—S2vi25.68 (5)Na1—O4—K1i91.33 (9)
O8vi—K1—S2vi25.09 (5)S1—O4—K1v85.43 (13)
O8viii—K1—S2vi64.81 (6)Cu1—O4—K1v83.76 (10)
O8—K1—S2vi68.65 (6)Na1—O4—K1v83.40 (8)
O2viii—K1—S2vi110.65 (6)K1i—O4—K1v170.52 (10)
O6—K1—S2vi92.27 (5)S2—O5—Cu1ii131.51 (16)
O4i—K1—S2vi156.40 (6)S2—O5—Na1ii125.84 (15)
O4viii—K1—S2vi73.82 (5)Cu1ii—O5—Na1ii98.66 (9)
O5ix—Na1—O5ii180.0S2—O5—K1vi97.31 (13)
O5ix—Na1—O4116.64 (9)Cu1ii—O5—K1vi96.87 (10)
O5ii—Na1—O463.36 (8)Na1ii—O5—K1vi94.96 (8)
O5ix—Na1—O4x63.36 (9)S2—O6—Na2120.86 (15)
O5ii—Na1—O4x116.64 (9)S2—O6—K1vii135.97 (15)
O4—Na1—O4x180.0Na2—O6—K1vii102.71 (9)
O5ix—Na1—O2v95.21 (9)S2—O6—K194.57 (13)
O5ii—Na1—O2v84.79 (9)Na2—O6—K190.96 (9)
O4—Na1—O2v93.82 (10)K1vii—O6—K177.63 (7)
O4x—Na1—O2v86.18 (10)S1—O7—Cu1xiv141.27 (18)
O5ix—Na1—O2iii84.79 (9)S1—O7—Na2i118.09 (17)
O5ii—Na1—O2iii95.21 (9)Cu1xiv—O7—Na2i91.26 (11)
O4—Na1—O2iii86.18 (10)S2—O8—K1vi96.86 (14)
O4x—Na1—O2iii93.82 (10)S2—O8—K1v151.67 (15)
O2v—Na1—O2iii180.0K1vi—O8—K1v78.77 (7)
O5ix—Na1—Cu1144.12 (6)S2—O8—K1101.63 (13)
O5ii—Na1—Cu135.88 (6)K1vi—O8—K1121.78 (10)
O4—Na1—Cu134.08 (6)K1v—O8—K1104.40 (8)
O4x—Na1—Cu1145.92 (6)
Symmetry codes: (i) x+1/2, y+3/2, z; (ii) x, y, z+1/2; (iii) x+1/2, y1/2, z+1/2; (iv) x, y+1, z; (v) x, y+2, z+1/2; (vi) x, y+2, z; (vii) x, y, z1/2; (viii) x, y+2, z1/2; (ix) x+1/2, y+3/2, z+1/2; (x) x+1/2, y+3/2, z+1; (xi) x, y+1, z1/2; (xii) x1/2, y+3/2, z1/2; (xiii) x, y, z+1; (xiv) x+1/2, y+1/2, z+1/2.
 

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