Supporting information
Crystallographic Information File (CIF) https://doi.org/10.1107/S0108270103006243/bc1009sup1.cif | |
Structure factor file (CIF format) https://doi.org/10.1107/S0108270103006243/bc1009Isup2.hkl |
Single crystals of Cs6Mo27S31 were prepared from a mixture of Cs2MoS4, MoS2 and Mo with an overall composition Cs9Mo42S48. All handlings of the materials were done in an argon-filled glove box. The initial mixture (ca 5 g) was cold pressed and loaded into a molybdenum crucible, which was sealed under a low argon pressure using an arc welding system. The charge was heated at the rate of 300 K/h up to 1773 K, held at that temperature for 48 h, then cooled at 100 K/h down to 1373 K, and finally furnace cooled. The product of the reaction appeared to be homogeneous and contained black and well faceted single crystals that were extracted by hand.
The highest residual peak was located at 0.92 Å from Cs1 and the deepest hole at 0.58 Å from Cs3.
Data collection: COLLECT (Nonius, 1998); cell refinement: COLLECT; data reduction: EVALCCD (Duisenberg, 1998); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: DIAMOND (Bergerhoff, 1996); software used to prepare material for publication: SHELXL97.
Cs6Mo27S31 | Dx = 5.136 Mg m−3 |
Mr = 4381.70 | Mo Kα radiation, λ = 0.71069 Å |
Hexagonal, R3c | Cell parameters from 94508 reflections |
Hall symbol: -R 32"c | θ = 2.6–40.3° |
a = 9.44240 (5) Å | µ = 10.69 mm−1 |
c = 110.0790 (7) Å | T = 293 K |
V = 8499.62 (8) Å3 | Irregular block, black |
Z = 6 | 0.20 × 0.17 × 0.14 mm |
F(000) = 11760 |
Nonius KappaCCD diffractometer | 5858 independent reflections |
Radiation source: fine-focus sealed tube | 4683 reflections with I > 2σ(I) |
Graphite monochromator | Rint = 0.051 |
ϕ scans (κ = 0) + additional ω scans | θmax = 40.0°, θmin = 2.5° |
Absorption correction: analytical (de Meulenaar & Tompa, 1965) | h = −17→17 |
Tmin = 0.275, Tmax = 0.454 | k = −17→14 |
85183 measured reflections | l = −198→198 |
Refinement on F2 | Primary atom site location: isomorphous structure methods |
Least-squares matrix: full | w = 1/[σ2(Fo2) + (0.0133P)2 + 67.7286P] where P = (Fo2 + 2Fc2)/3 |
R[F2 > 2σ(F2)] = 0.027 | (Δ/σ)max = 0.001 |
wR(F2) = 0.048 | Δρmax = 2.46 e Å−3 |
S = 1.12 | Δρmin = −2.81 e Å−3 |
5858 reflections | Extinction correction: SHELXL97, Fc*=kFc[1+0.001xFc2λ3/sin(2θ)]-1/4 |
99 parameters | Extinction coefficient: 0.000148 (2) |
0 restraints |
Cs6Mo27S31 | Z = 6 |
Mr = 4381.70 | Mo Kα radiation |
Hexagonal, R3c | µ = 10.69 mm−1 |
a = 9.44240 (5) Å | T = 293 K |
c = 110.0790 (7) Å | 0.20 × 0.17 × 0.14 mm |
V = 8499.62 (8) Å3 |
Nonius KappaCCD diffractometer | 5858 independent reflections |
Absorption correction: analytical (de Meulenaar & Tompa, 1965) | 4683 reflections with I > 2σ(I) |
Tmin = 0.275, Tmax = 0.454 | Rint = 0.051 |
85183 measured reflections |
R[F2 > 2σ(F2)] = 0.027 | 0 restraints |
wR(F2) = 0.048 | w = 1/[σ2(Fo2) + (0.0133P)2 + 67.7286P] where P = (Fo2 + 2Fc2)/3 |
S = 1.12 | Δρmax = 2.46 e Å−3 |
5858 reflections | Δρmin = −2.81 e Å−3 |
99 parameters |
Geometry. All e.s.d.'s (except the e.s.d. in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell e.s.d.'s are taken into account individually in the estimation of e.s.d.'s in distances, angles and torsion angles; correlations between e.s.d.'s in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell e.s.d.'s is used for estimating e.s.d.'s involving l.s. planes. |
Refinement. Refinement of F2 against ALL reflections. The weighted R-factor wR and goodness of fit S are based on F2, conventional R-factors R are based on F, with F set to zero for negative F2. The threshold expression of F2 > σ(F2) is used only for calculating R-factors(gt) etc. and is not relevant to the choice of reflections for refinement. R-factors based on F2 are statistically about twice as large as those based on F, and R- factors based on ALL data will be even larger. |
x | y | z | Uiso*/Ueq | ||
Cs1 | 1.0000 | 0.0000 | 0.097360 (2) | 0.01621 (5) | |
Cs2 | 0.3333 | −0.3333 | 0.029348 (3) | 0.02552 (6) | |
Cs3 | 0.6667 | −0.6667 | 0.013497 (3) | 0.02211 (6) | |
Mo1 | 0.82709 (2) | −0.49990 (2) | 0.062627 (2) | 0.00742 (3) | |
Mo2 | 0.83130 (3) | −0.6667 | 0.0833 | 0.00712 (4) | |
Mo3 | 0.85087 (2) | −0.17080 (2) | 0.050467 (2) | 0.00762 (3) | |
Mo4 | 0.82795 (2) | −0.01777 (2) | 0.029945 (2) | 0.00694 (3) | |
Mo5 | 0.84747 (2) | −0.17197 (2) | 0.010149 (2) | 0.00662 (3) | |
S1 | 0.97032 (6) | −0.65284 (7) | 0.064611 (5) | 0.00931 (8) | |
S2 | 0.96840 (8) | −0.36493 (8) | 0.0833 | 0.01070 (12) | |
S3 | 1.03958 (7) | −0.28266 (6) | 0.048894 (5) | 0.00937 (8) | |
S4 | 0.71598 (6) | −0.31782 (7) | 0.030349 (5) | 0.01014 (8) | |
S5 | 0.67770 (6) | −0.03843 (7) | 0.009886 (5) | 0.01013 (9) | |
S6 | 0.6667 | −0.6667 | 0.045778 (8) | 0.01089 (14) | |
S7 | 1.0000 | 0.0000 | 0.067313 (8) | 0.01136 (15) |
U11 | U22 | U33 | U12 | U13 | U23 | |
Cs1 | 0.01508 (6) | 0.01508 (6) | 0.01846 (11) | 0.00754 (3) | 0.000 | 0.000 |
Cs2 | 0.01904 (8) | 0.01904 (8) | 0.03849 (18) | 0.00952 (4) | 0.000 | 0.000 |
Cs3 | 0.01917 (8) | 0.01917 (8) | 0.02799 (14) | 0.00958 (4) | 0.000 | 0.000 |
Mo1 | 0.00794 (7) | 0.00843 (7) | 0.00624 (7) | 0.00437 (5) | 0.00045 (5) | −0.00019 (5) |
Mo2 | 0.00786 (7) | 0.00803 (9) | 0.00554 (9) | 0.00401 (5) | −0.00045 (3) | −0.00090 (7) |
Mo3 | 0.00821 (7) | 0.00871 (7) | 0.00598 (6) | 0.00426 (5) | 0.00057 (5) | 0.00035 (5) |
Mo4 | 0.00769 (7) | 0.00791 (6) | 0.00520 (6) | 0.00389 (5) | 0.00044 (5) | −0.00015 (5) |
Mo5 | 0.00743 (6) | 0.00715 (6) | 0.00502 (6) | 0.00346 (5) | 0.00010 (5) | −0.00004 (5) |
S1 | 0.00871 (19) | 0.0103 (2) | 0.0095 (2) | 0.00514 (16) | 0.00058 (16) | −0.00157 (16) |
S2 | 0.0092 (2) | 0.0092 (2) | 0.0111 (3) | 0.0026 (2) | 0.00084 (12) | −0.00084 (12) |
S3 | 0.0108 (2) | 0.00938 (19) | 0.0086 (2) | 0.00555 (17) | 0.00115 (16) | 0.00200 (15) |
S4 | 0.0096 (2) | 0.0091 (2) | 0.0094 (2) | 0.00293 (16) | 0.00070 (16) | 0.00046 (16) |
S5 | 0.00867 (19) | 0.0137 (2) | 0.0090 (2) | 0.00630 (17) | 0.00011 (16) | −0.00016 (17) |
S6 | 0.0134 (2) | 0.0134 (2) | 0.0059 (3) | 0.00670 (11) | 0.000 | 0.000 |
S7 | 0.0139 (2) | 0.0139 (2) | 0.0063 (3) | 0.00694 (11) | 0.000 | 0.000 |
Cs1—S1i | 3.2828 (5) | Mo2—Mo2ix | 2.6925 (4) |
Cs1—S1ii | 3.2828 (5) | Mo2—Mo1ii | 2.7311 (2) |
Cs1—S1iii | 3.2829 (5) | Mo2—Mo2ix | 2.6925 (4) |
Cs1—S7 | 3.3076 (9) | Mo2—Mo1xi | 2.7313 (2) |
Cs1—S2 | 3.6495 (4) | Mo2—Mo1xvi | 2.7818 (2) |
Cs1—S2iv | 3.6495 (4) | Mo2—Mo1xvii | 3.8474 (3) |
Cs1—S2v | 3.6495 (4) | Mo2—Mo1ix | 3.8476 (3) |
Cs1—S3i | 3.7812 (6) | Mo3—S7 | 2.3982 (7) |
Cs1—S3iii | 3.7812 (6) | Mo3—S1ix | 2.4632 (5) |
Cs1—S3ii | 3.7813 (6) | Mo3—S3 | 2.4905 (6) |
Cs1—Mo1i | 4.2832 (2) | Mo3—S3v | 2.5025 (6) |
Cs1—Mo1iii | 4.2832 (2) | Mo3—S4 | 2.5857 (6) |
Cs2—S4vi | 3.5439 (6) | Mo3—Mo3iv | 2.6341 (3) |
Cs2—S4vii | 3.5439 (6) | Mo3—Mo3v | 2.6341 (3) |
Cs2—S4 | 3.5439 (6) | Mo3—Mo4iv | 2.7139 (2) |
Cs2—S5vi | 3.7232 (6) | Mo3—Mo4 | 2.7479 (2) |
Cs2—S5vii | 3.7232 (6) | Mo4—S4v | 2.4711 (6) |
Cs2—S5 | 3.7232 (6) | Mo4—S3v | 2.4723 (5) |
Cs2—S3v | 3.7255 (6) | Mo4—S4 | 2.4802 (6) |
Cs2—S3viii | 3.7255 (6) | Mo4—S5 | 2.5787 (6) |
Cs2—S3ix | 3.7255 (6) | Mo4—Mo5v | 2.6634 (2) |
Cs2—Mo4vi | 4.0962 (2) | Mo4—Mo5 | 2.6779 (2) |
Cs2—Mo4 | 4.0962 (2) | Mo4—Mo4v | 2.6804 (3) |
Cs2—Mo4vii | 4.0962 (2) | Mo4—Mo4iv | 2.6804 (3) |
Cs3—S6 | 3.5535 (9) | Mo4—Mo3v | 2.7139 (2) |
Cs3—S5x | 3.5857 (6) | Mo5—S5 | 2.4863 (6) |
Cs3—S5iv | 3.5857 (6) | Mo5—S5iv | 2.5047 (6) |
Cs3—S5vii | 3.5857 (6) | Mo5—S5xiv | 2.5800 (6) |
Cs3—S4xi | 3.6020 (6) | Mo5—S4 | 2.5831 (6) |
Cs3—S4ix | 3.6020 (6) | Mo5—Mo4iv | 2.6634 (2) |
Cs3—S4 | 3.6020 (6) | Mo5—Mo5iv | 2.6679 (3) |
Cs3—S5xii | 3.9872 (6) | Mo5—Mo5v | 2.6679 (3) |
Cs3—S5xiii | 3.9872 (6) | Mo5—Mo5xiv | 2.7139 (3) |
Cs3—S5xiv | 3.9872 (6) | Mo5—Mo5xviii | 2.7139 (3) |
Cs3—Mo5xi | 4.1104 (2) | S1—Mo1xi | 2.4529 (6) |
Cs3—Mo5ix | 4.1104 (2) | S1—Mo3xi | 2.4632 (5) |
Mo1—S6 | 2.4143 (7) | S1—Cs1xv | 3.2828 (5) |
Mo1—S1 | 2.4322 (6) | S2—Mo2ix | 2.4708 (6) |
Mo1—S1ix | 2.4529 (6) | S2—Mo1ii | 2.6265 (4) |
Mo1—S3 | 2.5303 (6) | S2—Cs1xv | 3.6496 (4) |
Mo1—S2 | 2.6267 (4) | S3—Mo4iv | 2.4723 (5) |
Mo1—Mo1xi | 2.6771 (3) | S3—Mo3iv | 2.5025 (6) |
Mo1—Mo1ix | 2.6771 (3) | S3—Cs2xix | 3.7255 (6) |
Mo1—Mo2ix | 2.7313 (2) | S3—Cs1xv | 3.7813 (6) |
Mo1—Mo2 | 2.7820 (2) | S4—Mo4iv | 2.4711 (6) |
Mo1—Mo3 | 3.2864 (2) | S5—Mo5v | 2.5047 (6) |
Mo1—Mo2xi | 3.8476 (3) | S5—Mo5xviii | 2.5800 (6) |
Mo1—Cs1xv | 4.2832 (2) | S5—Cs3xx | 3.5857 (6) |
Mo2—S1xvi | 2.4115 (5) | S5—Cs3xii | 3.9872 (6) |
Mo2—S1 | 2.4117 (5) | S6—Mo1xi | 2.4143 (7) |
Mo2—S2xi | 2.4708 (6) | S6—Mo1ix | 2.4143 (7) |
Mo2—S2 | 2.4708 (6) | S7—Mo3iv | 2.3982 (7) |
Mo2—Mo2xi | 2.6925 (4) | S7—Mo3v | 2.3982 (7) |
S1i—Cs1—S1ii | 117.572 (5) | S2xi—Mo2—Mo1xi | 60.407 (5) |
S1i—Cs1—S1iii | 117.571 (5) | S2—Mo2—Mo1xi | 117.738 (6) |
S1ii—Cs1—S1iii | 117.570 (5) | Mo2xi—Mo2—Mo1xi | 61.712 (6) |
S1i—Cs1—S7 | 99.055 (10) | Mo2ix—Mo2—Mo1xi | 90.367 (6) |
S1ii—Cs1—S7 | 99.055 (10) | Mo1ii—Mo2—Mo1xi | 148.681 (12) |
S1iii—Cs1—S7 | 99.055 (10) | S1xvi—Mo2—Mo1xvi | 55.298 (13) |
S1i—Cs1—S2 | 161.012 (12) | S1—Mo2—Mo1xvi | 151.271 (14) |
S1ii—Cs1—S2 | 58.809 (13) | S2xi—Mo2—Mo1xvi | 59.654 (5) |
S1iii—Cs1—S2 | 76.823 (13) | S2—Mo2—Mo1xvi | 118.290 (6) |
S7—Cs1—S2 | 64.971 (5) | Mo2xi—Mo2—Mo1xvi | 59.827 (6) |
S1i—Cs1—S2iv | 76.823 (13) | Mo2ix—Mo2—Mo1xvi | 89.292 (6) |
S1ii—Cs1—S2iv | 161.012 (12) | Mo1ii—Mo2—Mo1xvi | 58.097 (7) |
S1iii—Cs1—S2iv | 58.810 (13) | Mo1xi—Mo2—Mo1xvi | 111.594 (7) |
S7—Cs1—S2iv | 64.971 (5) | S1xvi—Mo2—Mo1 | 151.273 (14) |
S2—Cs1—S2iv | 103.385 (6) | S1—Mo2—Mo1 | 55.293 (13) |
S1i—Cs1—S2v | 58.810 (13) | S2xi—Mo2—Mo1 | 118.287 (6) |
S1ii—Cs1—S2v | 76.824 (13) | S2—Mo2—Mo1 | 59.658 (5) |
S1iii—Cs1—S2v | 161.012 (12) | Mo2xi—Mo2—Mo1 | 89.291 (6) |
S7—Cs1—S2v | 64.971 (5) | Mo2ix—Mo2—Mo1 | 59.829 (6) |
S2—Cs1—S2v | 103.385 (6) | Mo1ii—Mo2—Mo1 | 111.595 (7) |
S2iv—Cs1—S2v | 103.385 (6) | Mo1xi—Mo2—Mo1 | 58.091 (7) |
S1i—Cs1—S3i | 61.826 (13) | Mo1xvi—Mo2—Mo1 | 145.408 (12) |
S1ii—Cs1—S3i | 59.410 (12) | S1xvi—Mo2—Mo1xvii | 84.901 (13) |
S1iii—Cs1—S3i | 134.468 (15) | S1—Mo2—Mo1xvii | 157.256 (15) |
S7—Cs1—S3i | 126.454 (9) | S2xi—Mo2—Mo1xvii | 88.343 (9) |
S2—Cs1—S3i | 118.217 (13) | S2—Mo2—Mo1xvii | 86.799 (9) |
S2iv—Cs1—S3i | 137.902 (11) | Mo2xi—Mo2—Mo1xvii | 46.300 (3) |
S2v—Cs1—S3i | 62.571 (8) | Mo2ix—Mo2—Mo1xvii | 45.222 (3) |
S1i—Cs1—S3iii | 59.410 (13) | Mo1ii—Mo2—Mo1xvii | 44.089 (5) |
S1ii—Cs1—S3iii | 134.468 (15) | Mo1xi—Mo2—Mo1xvii | 106.464 (9) |
S1iii—Cs1—S3iii | 61.826 (13) | Mo1xvi—Mo2—Mo1xvii | 44.092 (5) |
S7—Cs1—S3iii | 126.454 (9) | Mo1—Mo2—Mo1xvii | 103.842 (8) |
S2—Cs1—S3iii | 137.901 (11) | S1xvi—Mo2—Mo1ix | 157.263 (15) |
S2iv—Cs1—S3iii | 62.571 (8) | S1—Mo2—Mo1ix | 84.894 (13) |
S2v—Cs1—S3iii | 118.218 (13) | S2xi—Mo2—Mo1ix | 86.798 (9) |
S3i—Cs1—S3iii | 88.306 (13) | S2—Mo2—Mo1ix | 88.344 (9) |
S1i—Cs1—S3ii | 134.469 (15) | Mo2xi—Mo2—Mo1ix | 45.224 (3) |
S1ii—Cs1—S3ii | 61.825 (13) | Mo2ix—Mo2—Mo1ix | 46.302 (3) |
S1iii—Cs1—S3ii | 59.409 (13) | Mo1ii—Mo2—Mo1ix | 106.465 (9) |
S7—Cs1—S3ii | 126.454 (9) | Mo1xi—Mo2—Mo1ix | 44.086 (5) |
S2—Cs1—S3ii | 62.571 (8) | Mo1xvi—Mo2—Mo1ix | 103.843 (8) |
S2iv—Cs1—S3ii | 118.217 (13) | Mo1—Mo2—Mo1ix | 44.089 (5) |
S2v—Cs1—S3ii | 137.902 (11) | Mo1xvii—Mo2—Mo1ix | 72.677 (7) |
S3i—Cs1—S3ii | 88.305 (13) | S7—Mo3—S1ix | 90.06 (2) |
S3iii—Cs1—S3ii | 88.305 (13) | S7—Mo3—S3 | 92.003 (14) |
S1i—Cs1—Mo1i | 34.388 (10) | S1ix—Mo3—S3 | 97.500 (18) |
S1ii—Cs1—Mo1i | 83.710 (9) | S7—Mo3—S3v | 91.707 (14) |
S1iii—Cs1—Mo1i | 148.626 (11) | S1ix—Mo3—S3v | 90.515 (18) |
S7—Cs1—Mo1i | 99.882 (4) | S3—Mo3—S3v | 171.16 (2) |
S2—Cs1—Mo1i | 134.155 (9) | S7—Mo3—S4 | 171.60 (2) |
S2iv—Cs1—Mo1i | 108.265 (10) | S1ix—Mo3—S4 | 98.146 (18) |
S2v—Cs1—Mo1i | 37.609 (7) | S3—Mo3—S4 | 88.714 (19) |
S3i—Cs1—Mo1i | 35.893 (8) | S3v—Mo3—S4 | 86.457 (18) |
S3iii—Cs1—Mo1i | 86.800 (9) | S7—Mo3—Mo3iv | 56.689 (11) |
S3ii—Cs1—Mo1i | 124.058 (10) | S1ix—Mo3—Mo3iv | 134.486 (14) |
S1i—Cs1—Mo1iii | 83.709 (10) | S3—Mo3—Mo3iv | 58.381 (15) |
S1ii—Cs1—Mo1iii | 148.624 (11) | S3v—Mo3—Mo3iv | 117.778 (14) |
S1iii—Cs1—Mo1iii | 34.388 (9) | S4—Mo3—Mo3iv | 117.229 (13) |
S7—Cs1—Mo1iii | 99.882 (4) | S7—Mo3—Mo3v | 56.689 (11) |
S2—Cs1—Mo1iii | 108.265 (10) | S1ix—Mo3—Mo3v | 129.561 (14) |
S2iv—Cs1—Mo1iii | 37.610 (7) | S3—Mo3—Mo3v | 118.221 (15) |
S2v—Cs1—Mo1iii | 134.155 (9) | S3v—Mo3—Mo3v | 57.937 (14) |
S3i—Cs1—Mo1iii | 124.058 (10) | S4—Mo3—Mo3v | 115.828 (13) |
S3iii—Cs1—Mo1iii | 35.893 (8) | Mo3iv—Mo3—Mo3v | 60.0 |
S3ii—Cs1—Mo1iii | 86.799 (9) | S7—Mo3—Mo4iv | 118.435 (14) |
Mo1i—Cs1—Mo1iii | 117.118 (2) | S1ix—Mo3—Mo4iv | 139.569 (15) |
S4vi—Cs2—S4vii | 119.904 (1) | S3—Mo3—Mo4iv | 56.528 (13) |
S4vi—Cs2—S4 | 119.904 (1) | S3v—Mo3—Mo4iv | 114.721 (14) |
S4vii—Cs2—S4 | 119.904 (1) | S4—Mo3—Mo4iv | 55.522 (13) |
S4vi—Cs2—S5vi | 59.726 (12) | Mo3iv—Mo3—Mo4iv | 61.816 (6) |
S4vii—Cs2—S5vi | 74.579 (12) | Mo3v—Mo3—Mo4iv | 90.853 (5) |
S4—Cs2—S5vi | 145.458 (16) | S7—Mo3—Mo4 | 117.140 (14) |
S4vi—Cs2—S5vii | 145.458 (16) | S1ix—Mo3—Mo4 | 134.965 (15) |
S4vii—Cs2—S5vii | 59.726 (12) | S3—Mo3—Mo4 | 115.279 (14) |
S4—Cs2—S5vii | 74.579 (12) | S3v—Mo3—Mo4 | 55.948 (13) |
S5vi—Cs2—S5vii | 90.193 (13) | S4—Mo3—Mo4 | 55.322 (13) |
S4vi—Cs2—S5 | 74.579 (12) | Mo3iv—Mo3—Mo4 | 90.107 (5) |
S4vii—Cs2—S5 | 145.458 (16) | Mo3v—Mo3—Mo4 | 60.519 (6) |
S4—Cs2—S5 | 59.726 (12) | Mo4iv—Mo3—Mo4 | 58.776 (8) |
S5vi—Cs2—S5 | 90.193 (13) | S7—Mo3—Mo1 | 93.469 (12) |
S5vii—Cs2—S5 | 90.193 (13) | S1ix—Mo3—Mo1 | 47.915 (13) |
S4vi—Cs2—S3v | 72.626 (12) | S3—Mo3—Mo1 | 49.642 (13) |
S4vii—Cs2—S3v | 141.805 (16) | S3v—Mo3—Mo1 | 138.041 (14) |
S4—Cs2—S3v | 57.237 (12) | S4—Mo3—Mo1 | 93.368 (14) |
S5vi—Cs2—S3v | 131.924 (11) | Mo3iv—Mo3—Mo1 | 99.496 (9) |
S5vii—Cs2—S3v | 131.618 (11) | Mo3v—Mo3—Mo1 | 149.364 (6) |
S5—Cs2—S3v | 70.405 (12) | Mo4iv—Mo3—Mo1 | 99.007 (7) |
S4vi—Cs2—S3viii | 57.237 (12) | Mo4—Mo3—Mo1 | 147.773 (8) |
S4vii—Cs2—S3viii | 72.626 (12) | S4v—Mo4—S3v | 91.786 (19) |
S4—Cs2—S3viii | 141.805 (16) | S4v—Mo4—S4 | 174.069 (18) |
S5vi—Cs2—S3viii | 70.405 (12) | S3v—Mo4—S4 | 89.461 (19) |
S5vii—Cs2—S3viii | 131.924 (11) | S4v—Mo4—S5 | 93.216 (19) |
S5—Cs2—S3viii | 131.618 (11) | S3v—Mo4—S5 | 116.434 (18) |
S3v—Cs2—S3viii | 89.982 (13) | S4—Mo4—S5 | 91.419 (18) |
S4vi—Cs2—S3ix | 141.805 (16) | S4v—Mo4—Mo5v | 60.271 (14) |
S4vii—Cs2—S3ix | 57.237 (12) | S3v—Mo4—Mo5v | 148.786 (15) |
S4—Cs2—S3ix | 72.626 (12) | S4—Mo4—Mo5v | 119.820 (15) |
S5vi—Cs2—S3ix | 131.618 (11) | S5—Mo4—Mo5v | 57.058 (13) |
S5vii—Cs2—S3ix | 70.405 (12) | S4v—Mo4—Mo5 | 120.091 (15) |
S5—Cs2—S3ix | 131.924 (11) | S3v—Mo4—Mo5 | 146.493 (15) |
S3v—Cs2—S3ix | 89.982 (13) | S4—Mo4—Mo5 | 59.958 (14) |
S3viii—Cs2—S3ix | 89.982 (13) | S5—Mo4—Mo5 | 56.420 (13) |
S4vi—Cs2—Mo4vi | 37.001 (9) | Mo5v—Mo4—Mo5 | 59.931 (8) |
S4vii—Cs2—Mo4vi | 82.974 (9) | S4v—Mo4—Mo4v | 57.389 (15) |
S4—Cs2—Mo4vi | 156.847 (9) | S3v—Mo4—Mo4v | 118.389 (13) |
S5vi—Cs2—Mo4vi | 38.135 (9) | S4—Mo4—Mo4v | 117.049 (15) |
S5vii—Cs2—Mo4vi | 124.764 (10) | S5—Mo4—Mo4v | 117.106 (13) |
S5—Cs2—Mo4vi | 104.126 (9) | Mo5v—Mo4—Mo4v | 60.147 (6) |
S3v—Cs2—Mo4vi | 103.169 (9) | Mo5—Mo4—Mo4v | 89.710 (5) |
S3viii—Cs2—Mo4vi | 36.464 (8) | S4v—Mo4—Mo4iv | 117.379 (15) |
S3ix—Cs2—Mo4vi | 123.273 (10) | S3v—Mo4—Mo4iv | 116.973 (14) |
S4vi—Cs2—Mo4 | 82.974 (9) | S4—Mo4—Mo4iv | 57.059 (15) |
S4vii—Cs2—Mo4 | 156.847 (9) | S5—Mo4—Mo4iv | 116.008 (13) |
S4—Cs2—Mo4 | 37.001 (9) | Mo5v—Mo4—Mo4iv | 90.019 (5) |
S5vi—Cs2—Mo4 | 124.764 (10) | Mo5—Mo4—Mo4iv | 59.612 (6) |
S5vii—Cs2—Mo4 | 104.126 (9) | Mo4v—Mo4—Mo4iv | 60.0 |
S5—Cs2—Mo4 | 38.135 (9) | S4v—Mo4—Mo3v | 59.607 (14) |
S3v—Cs2—Mo4 | 36.464 (8) | S3v—Mo4—Mo3v | 57.170 (14) |
S3viii—Cs2—Mo4 | 123.273 (10) | S4—Mo4—Mo3v | 116.668 (15) |
S3ix—Cs2—Mo4 | 103.169 (9) | S5—Mo4—Mo3v | 149.886 (15) |
Mo4vi—Cs2—Mo4 | 120.0 | Mo5v—Mo4—Mo3v | 111.249 (8) |
S4vi—Cs2—Mo4vii | 156.847 (9) | Mo5—Mo4—Mo3v | 146.599 (9) |
S4vii—Cs2—Mo4vii | 37.001 (9) | Mo4v—Mo4—Mo3v | 61.246 (6) |
S4—Cs2—Mo4vii | 82.974 (9) | Mo4iv—Mo4—Mo3v | 89.870 (5) |
S5vi—Cs2—Mo4vii | 104.126 (9) | S4v—Mo4—Mo3 | 117.163 (15) |
S5vii—Cs2—Mo4vii | 38.135 (9) | S3v—Mo4—Mo3 | 56.997 (13) |
S5—Cs2—Mo4vii | 124.764 (10) | S4—Mo4—Mo3 | 59.017 (14) |
S3v—Cs2—Mo4vii | 123.273 (10) | S5—Mo4—Mo3 | 148.121 (15) |
S3viii—Cs2—Mo4vii | 103.169 (9) | Mo5v—Mo4—Mo3 | 145.998 (9) |
S3ix—Cs2—Mo4vii | 36.464 (8) | Mo5—Mo4—Mo3 | 109.762 (8) |
Mo4vi—Cs2—Mo4vii | 120.0 | Mo4v—Mo4—Mo3 | 89.149 (5) |
Mo4—Cs2—Mo4vii | 120.0 | Mo4iv—Mo4—Mo3 | 59.979 (6) |
S6—Cs3—S5x | 96.364 (10) | Mo3v—Mo4—Mo3 | 57.665 (8) |
S6—Cs3—S5iv | 96.364 (10) | S4v—Mo4—Cs2 | 126.292 (14) |
S5x—Cs3—S5iv | 118.788 (4) | S3v—Mo4—Cs2 | 63.580 (14) |
S6—Cs3—S5vii | 96.364 (10) | S4—Mo4—Cs2 | 59.308 (13) |
S5x—Cs3—S5vii | 118.788 (4) | S5—Mo4—Cs2 | 63.075 (13) |
S5iv—Cs3—S5vii | 118.788 (4) | Mo5v—Mo4—Cs2 | 120.131 (8) |
S6—Cs3—S4xi | 59.001 (10) | Mo5—Mo4—Cs2 | 87.410 (7) |
S5x—Cs3—S4xi | 61.411 (12) | Mo4v—Mo4—Cs2 | 176.219 (9) |
S5iv—Cs3—S4xi | 75.593 (12) | Mo4iv—Mo4—Cs2 | 116.329 (9) |
S5vii—Cs3—S4xi | 153.974 (15) | Mo3v—Mo4—Cs2 | 120.728 (8) |
S6—Cs3—S4ix | 59.001 (10) | Mo3—Mo4—Cs2 | 89.519 (7) |
S5x—Cs3—S4ix | 75.593 (12) | S5—Mo5—S5iv | 175.186 (17) |
S5iv—Cs3—S4ix | 153.974 (15) | S5—Mo5—S5xiv | 90.839 (14) |
S5vii—Cs3—S4ix | 61.411 (12) | S5iv—Mo5—S5xiv | 90.425 (14) |
S4xi—Cs3—S4ix | 95.862 (13) | S5—Mo5—S4 | 91.177 (18) |
S6—Cs3—S4 | 59.001 (10) | S5iv—Mo5—S4 | 92.322 (18) |
S5x—Cs3—S4 | 153.974 (15) | S5xiv—Mo5—S4 | 118.155 (18) |
S5iv—Cs3—S4 | 61.411 (12) | S5—Mo5—Mo4iv | 119.991 (15) |
S5vii—Cs3—S4 | 75.593 (12) | S5iv—Mo5—Mo4iv | 59.768 (13) |
S4xi—Cs3—S4 | 95.862 (13) | S5xiv—Mo5—Mo4iv | 147.452 (15) |
S4ix—Cs3—S4 | 95.862 (13) | S4—Mo5—Mo4iv | 56.172 (13) |
S6—Cs3—S5xii | 130.207 (8) | S5—Mo5—Mo5iv | 118.019 (15) |
S5x—Cs3—S5xii | 69.970 (13) | S5iv—Mo5—Mo5iv | 57.354 (15) |
S5iv—Cs3—S5xii | 132.683 (10) | S5xiv—Mo5—Mo5iv | 116.488 (13) |
S5vii—Cs3—S5xii | 56.628 (14) | S4—Mo5—Mo5iv | 116.374 (13) |
S4xi—Cs3—S5xii | 131.381 (11) | Mo4iv—Mo5—Mo5iv | 60.304 (6) |
S4ix—Cs3—S5xii | 71.206 (12) | S5—Mo5—Mo5v | 58.023 (15) |
S4—Cs3—S5xii | 131.187 (12) | S5iv—Mo5—Mo5v | 117.350 (15) |
S6—Cs3—S5xiii | 130.207 (8) | S5xiv—Mo5—Mo5v | 116.917 (13) |
S5x—Cs3—S5xiii | 56.628 (14) | S4—Mo5—Mo5v | 115.923 (13) |
S5iv—Cs3—S5xiii | 69.970 (13) | Mo4iv—Mo5—Mo5v | 90.289 (5) |
S5vii—Cs3—S5xiii | 132.683 (10) | Mo5iv—Mo5—Mo5v | 60.0 |
S4xi—Cs3—S5xiii | 71.206 (12) | S5—Mo5—Mo4 | 59.775 (13) |
S4ix—Cs3—S5xiii | 131.187 (12) | S5iv—Mo5—Mo4 | 119.904 (14) |
S4—Cs3—S5xiii | 131.381 (11) | S5xiv—Mo5—Mo4 | 148.205 (15) |
S5xii—Cs3—S5xiii | 82.813 (13) | S4—Mo5—Mo4 | 56.221 (13) |
S6—Cs3—S5xiv | 130.207 (8) | Mo4iv—Mo5—Mo4 | 60.241 (8) |
S5x—Cs3—S5xiv | 132.683 (10) | Mo5iv—Mo5—Mo4 | 89.978 (5) |
S5iv—Cs3—S5xiv | 56.628 (14) | Mo5v—Mo5—Mo4 | 59.765 (6) |
S5vii—Cs3—S5xiv | 69.970 (13) | S5—Mo5—Mo5xiv | 118.151 (14) |
S4xi—Cs3—S5xiv | 131.187 (12) | S5iv—Mo5—Mo5xiv | 59.097 (13) |
S4ix—Cs3—S5xiv | 131.381 (11) | S5xiv—Mo5—Mo5xiv | 55.954 (14) |
S4—Cs3—S5xiv | 71.206 (12) | S4—Mo5—Mo5xiv | 148.939 (14) |
S5xii—Cs3—S5xiv | 82.813 (13) | Mo4iv—Mo5—Mo5xiv | 110.323 (7) |
S5xiii—Cs3—S5xiv | 82.813 (13) | Mo5iv—Mo5—Mo5xiv | 60.560 (4) |
S6—Cs3—Mo5xi | 95.143 (5) | Mo5v—Mo5—Mo5xiv | 90.0 |
S5x—Cs3—Mo5xi | 37.203 (9) | Mo4—Mo5—Mo5xiv | 146.588 (7) |
S5iv—Cs3—Mo5xi | 82.123 (9) | S5—Mo5—Mo5xviii | 59.298 (13) |
S5vii—Cs3—Mo5xi | 154.655 (10) | S5iv—Mo5—Mo5xviii | 117.926 (14) |
S4xi—Cs3—Mo5xi | 38.428 (9) | S5xiv—Mo5—Mo5xviii | 56.408 (14) |
S4ix—Cs3—Mo5xi | 106.635 (9) | S4—Mo5—Mo5xviii | 148.176 (14) |
S4—Cs3—Mo5xi | 129.466 (10) | Mo4iv—Mo5—Mo5xviii | 147.063 (7) |
S5xii—Cs3—Mo5xi | 99.073 (9) | Mo5iv—Mo5—Mo5xviii | 90.0 |
S5xiii—Cs3—Mo5xi | 37.119 (8) | Mo5v—Mo5—Mo5xviii | 60.560 (4) |
S5xiv—Cs3—Mo5xi | 117.780 (10) | Mo4—Mo5—Mo5xviii | 109.884 (7) |
S6—Cs3—Mo5ix | 95.143 (5) | Mo5xiv—Mo5—Mo5xviii | 58.881 (8) |
S5x—Cs3—Mo5ix | 82.123 (9) | S5—Mo5—Cs3 | 124.795 (14) |
S5iv—Cs3—Mo5ix | 154.655 (10) | S5iv—Mo5—Cs3 | 59.947 (13) |
S5vii—Cs3—Mo5ix | 37.203 (9) | S5xiv—Mo5—Cs3 | 68.847 (13) |
S4xi—Cs3—Mo5ix | 129.466 (10) | S4—Mo5—Cs3 | 60.076 (13) |
S4ix—Cs3—Mo5ix | 38.428 (9) | Mo4iv—Mo5—Cs3 | 83.834 (7) |
S4—Cs3—Mo5ix | 106.635 (9) | Mo5iv—Mo5—Cs3 | 116.976 (8) |
S5xii—Cs3—Mo5ix | 37.119 (8) | Mo5v—Mo5—Cs3 | 174.094 (6) |
S5xiii—Cs3—Mo5ix | 117.780 (10) | Mo4—Mo5—Cs3 | 116.269 (8) |
S5xiv—Cs3—Mo5ix | 99.073 (9) | Mo5xiv—Mo5—Cs3 | 92.588 (6) |
Mo5xi—Cs3—Mo5ix | 119.206 (2) | Mo5xviii—Mo5—Cs3 | 125.243 (8) |
S6—Mo1—S1 | 92.035 (14) | Mo2—S1—Mo1 | 70.104 (15) |
S6—Mo1—S1ix | 91.529 (14) | Mo2—S1—Mo1xi | 68.308 (15) |
S1—Mo1—S1ix | 167.72 (2) | Mo1—S1—Mo1xi | 66.461 (16) |
S6—Mo1—S3 | 93.119 (19) | Mo2—S1—Mo3xi | 136.18 (2) |
S1—Mo1—S3 | 94.822 (18) | Mo1—S1—Mo3xi | 129.14 (2) |
S1ix—Mo1—S3 | 96.718 (18) | Mo1xi—S1—Mo3xi | 83.902 (17) |
S6—Mo1—S2 | 169.71 (2) | Mo2—S1—Cs1xv | 101.842 (18) |
S1—Mo1—S2 | 84.938 (13) | Mo1—S1—Cs1xv | 95.943 (17) |
S1ix—Mo1—S2 | 89.498 (14) | Mo1xi—S1—Cs1xv | 161.69 (2) |
S3—Mo1—S2 | 96.93 (2) | Mo3xi—S1—Cs1xv | 112.509 (18) |
S6—Mo1—Mo1xi | 56.329 (11) | Mo2ix—S2—Mo2 | 66.03 (2) |
S1—Mo1—Mo1xi | 57.140 (15) | Mo2ix—S2—Mo1ii | 66.068 (15) |
S1ix—Mo1—Mo1xi | 116.135 (14) | Mo2—S2—Mo1ii | 64.710 (15) |
S3—Mo1—Mo1xi | 133.522 (14) | Mo2ix—S2—Mo1 | 64.713 (15) |
S2—Mo1—Mo1xi | 114.268 (12) | Mo2—S2—Mo1 | 66.070 (15) |
S6—Mo1—Mo1ix | 56.329 (11) | Mo1ii—S2—Mo1 | 120.45 (3) |
S1—Mo1—Mo1ix | 116.872 (15) | Mo2ix—S2—Cs1 | 91.328 (5) |
S1ix—Mo1—Mo1ix | 56.399 (14) | Mo2—S2—Cs1 | 146.836 (15) |
S3—Mo1—Mo1ix | 134.444 (14) | Mo1ii—S2—Cs1 | 84.399 (6) |
S2—Mo1—Mo1ix | 116.579 (13) | Mo1—S2—Cs1 | 127.381 (5) |
Mo1xi—Mo1—Mo1ix | 60.0 | Mo2ix—S2—Cs1xv | 146.833 (15) |
S6—Mo1—Mo2ix | 118.131 (13) | Mo2—S2—Cs1xv | 91.328 (5) |
S1—Mo1—Mo2ix | 113.057 (15) | Mo1ii—S2—Cs1xv | 127.384 (5) |
S1ix—Mo1—Mo2ix | 55.131 (13) | Mo1—S2—Cs1xv | 84.392 (6) |
S3—Mo1—Mo2ix | 135.774 (15) | Cs1—S2—Cs1xv | 118.28 (2) |
S2—Mo1—Mo2ix | 54.880 (12) | Mo4iv—S3—Mo3 | 66.301 (14) |
Mo1xi—Mo1—Mo2ix | 90.693 (6) | Mo4iv—S3—Mo3iv | 67.056 (14) |
Mo1ix—Mo1—Mo2ix | 61.903 (5) | Mo3—S3—Mo3iv | 63.682 (15) |
S6—Mo1—Mo2 | 116.238 (13) | Mo4iv—S3—Mo1 | 132.44 (2) |
S1—Mo1—Mo2 | 54.603 (14) | Mo3—S3—Mo1 | 81.767 (17) |
S1ix—Mo1—Mo2 | 113.452 (14) | Mo3iv—S3—Mo1 | 128.77 (2) |
S3—Mo1—Mo2 | 135.922 (15) | Mo4iv—S3—Cs2xix | 79.957 (15) |
S2—Mo1—Mo2 | 54.272 (12) | Mo3—S3—Cs2xix | 146.22 (2) |
Mo1xi—Mo1—Mo2 | 60.006 (5) | Mo3iv—S3—Cs2xix | 102.385 (16) |
Mo1ix—Mo1—Mo2 | 89.606 (6) | Mo1—S3—Cs2xix | 125.480 (18) |
Mo2ix—Mo1—Mo2 | 58.458 (9) | Mo4iv—S3—Cs1xv | 144.05 (2) |
S6—Mo1—Mo3 | 91.594 (11) | Mo3—S3—Cs1xv | 137.56 (2) |
S1—Mo1—Mo3 | 143.382 (15) | Mo3iv—S3—Cs1xv | 97.517 (16) |
S1ix—Mo1—Mo3 | 48.183 (13) | Mo1—S3—Cs1xv | 82.932 (14) |
S3—Mo1—Mo3 | 48.591 (13) | Cs2xix—S3—Cs1xv | 71.731 (11) |
S2—Mo1—Mo3 | 96.702 (11) | Mo4iv—S4—Mo4 | 65.551 (15) |
Mo1xi—Mo1—Mo3 | 146.304 (7) | Mo4iv—S4—Mo5 | 63.556 (14) |
Mo1ix—Mo1—Mo3 | 95.149 (8) | Mo4—S4—Mo5 | 63.821 (14) |
Mo2ix—Mo1—Mo3 | 97.026 (8) | Mo4iv—S4—Mo3 | 64.871 (14) |
Mo2—Mo1—Mo3 | 148.799 (7) | Mo4—S4—Mo3 | 65.661 (14) |
S6—Mo1—Mo2xi | 86.526 (15) | Mo5—S4—Mo3 | 118.33 (2) |
S1—Mo1—Mo2xi | 85.306 (13) | Mo4iv—S4—Cs2 | 149.16 (2) |
S1ix—Mo1—Mo2xi | 83.180 (13) | Mo4—S4—Cs2 | 83.691 (16) |
S3—Mo1—Mo2xi | 179.627 (15) | Mo5—S4—Cs2 | 101.746 (18) |
S2—Mo1—Mo2xi | 83.433 (15) | Mo3—S4—Cs2 | 105.495 (18) |
Mo1xi—Mo1—Mo2xi | 46.305 (3) | Mo4iv—S4—Cs3 | 98.257 (17) |
Mo1ix—Mo1—Mo2xi | 45.220 (3) | Mo4—S4—Cs3 | 145.26 (2) |
Mo2ix—Mo1—Mo2xi | 44.410 (7) | Mo5—S4—Cs3 | 81.496 (15) |
Mo2—Mo1—Mo2xi | 44.407 (6) | Mo3—S4—Cs3 | 137.38 (2) |
Mo3—Mo1—Mo2xi | 131.290 (6) | Cs2—S4—Cs3 | 106.453 (14) |
S6—Mo1—Cs1xv | 126.328 (10) | Mo5—S5—Mo5v | 64.623 (15) |
S1—Mo1—Cs1xv | 49.670 (13) | Mo5—S5—Mo4 | 63.805 (14) |
S1ix—Mo1—Cs1xv | 134.472 (14) | Mo5v—S5—Mo4 | 63.174 (14) |
S3—Mo1—Cs1xv | 61.175 (13) | Mo5—S5—Mo5xviii | 64.748 (14) |
S2—Mo1—Cs1xv | 57.995 (10) | Mo5v—S5—Mo5xviii | 64.496 (14) |
Mo1xi—Mo1—Cs1xv | 106.649 (8) | Mo4—S5—Mo5xviii | 117.64 (2) |
Mo1ix—Mo1—Cs1xv | 163.648 (7) | Mo5—S5—Cs3xx | 146.82 (2) |
Mo2ix—Mo1—Cs1xv | 111.870 (6) | Mo5v—S5—Cs3xx | 82.850 (15) |
Mo2—Mo1—Cs1xv | 74.814 (7) | Mo4—S5—Cs3xx | 96.616 (17) |
Mo3—Mo1—Cs1xv | 100.756 (5) | Mo5xviii—S5—Cs3xx | 108.118 (18) |
Mo2xi—Mo1—Cs1xv | 119.141 (5) | Mo5—S5—Cs2 | 99.058 (17) |
S1xvi—Mo2—S1 | 117.70 (3) | Mo5v—S5—Cs2 | 141.96 (2) |
S1xvi—Mo2—S2xi | 88.877 (14) | Mo4—S5—Cs2 | 78.790 (14) |
S1—Mo2—S2xi | 94.244 (14) | Mo5xviii—S5—Cs2 | 142.02 (2) |
S1xvi—Mo2—S2 | 94.245 (14) | Cs3xx—S5—Cs2 | 103.085 (13) |
S1—Mo2—S2 | 88.878 (14) | Mo5—S5—Cs3xii | 99.252 (16) |
S2xi—Mo2—S2 | 173.97 (2) | Mo5v—S5—Cs3xii | 138.513 (19) |
S1xvi—Mo2—Mo2xi | 115.122 (13) | Mo4—S5—Cs3xii | 146.24 (2) |
S1—Mo2—Mo2xi | 118.123 (13) | Mo5xviii—S5—Cs3xii | 74.033 (13) |
S2xi—Mo2—Mo2xi | 56.984 (11) | Cs3xx—S5—Cs3xii | 110.030 (13) |
S2—Mo2—Mo2xi | 116.984 (11) | Cs2—S5—Cs3xii | 75.335 (11) |
S1xvi—Mo2—Mo2ix | 118.127 (13) | Mo1—S6—Mo1xi | 67.34 (2) |
S1—Mo2—Mo2ix | 115.119 (13) | Mo1—S6—Mo1ix | 67.34 (2) |
S2xi—Mo2—Mo2ix | 116.984 (11) | Mo1xi—S6—Mo1ix | 67.34 (2) |
S2—Mo2—Mo2ix | 56.984 (11) | Mo1—S6—Cs3 | 140.193 (14) |
Mo2xi—Mo2—Mo2ix | 60.0 | Mo1xi—S6—Cs3 | 140.193 (14) |
S1xvi—Mo2—Mo1ii | 56.566 (13) | Mo1ix—S6—Cs3 | 140.193 (14) |
S1—Mo2—Mo1ii | 146.124 (14) | Mo3—S7—Mo3iv | 66.62 (2) |
S2xi—Mo2—Mo1ii | 117.741 (6) | Mo3—S7—Mo3v | 66.62 (2) |
S2—Mo2—Mo1ii | 60.405 (5) | Mo3iv—S7—Mo3v | 66.62 (2) |
Mo2xi—Mo2—Mo1ii | 90.367 (6) | Mo3—S7—Cs1 | 140.644 (14) |
Mo2ix—Mo2—Mo1ii | 61.710 (6) | Mo3iv—S7—Cs1 | 140.644 (14) |
S1xvi—Mo2—Mo1xi | 146.124 (14) | Mo3v—S7—Cs1 | 140.644 (14) |
S1—Mo2—Mo1xi | 56.561 (13) |
Symmetry codes: (i) x−y−2/3, −y−1/3, −z+1/6; (ii) y+4/3, x−4/3, −z+1/6; (iii) −x+7/3, −x+y+5/3, −z+1/6; (iv) −y+1, x−y−1, z; (v) −x+y+2, −x+1, z; (vi) −y, x−y−1, z; (vii) −x+y+1, −x, z; (viii) x−1, y, z; (ix) −y, x−y−2, z; (x) x, y−1, z; (xi) −x+y+2, −x, z; (xii) −x+1, −y−1, −z; (xiii) y+1, −x+y, −z; (xiv) x−y, x−1, −z; (xv) x−y+1/3, −y−1/3, −z+1/6; (xvi) x−y−2/3, −y−4/3, −z+1/6; (xvii) −x+4/3, −x+y+2/3, −z+1/6; (xviii) y+1, −x+y+1, −z; (xix) x+1, y, z; (xx) x, y+1, z. |
Experimental details
Crystal data | |
Chemical formula | Cs6Mo27S31 |
Mr | 4381.70 |
Crystal system, space group | Hexagonal, R3c |
Temperature (K) | 293 |
a, c (Å) | 9.44240 (5), 110.0790 (7) |
V (Å3) | 8499.62 (8) |
Z | 6 |
Radiation type | Mo Kα |
µ (mm−1) | 10.69 |
Crystal size (mm) | 0.20 × 0.17 × 0.14 |
Data collection | |
Diffractometer | Nonius KappaCCD diffractometer |
Absorption correction | Analytical (de Meulenaar & Tompa, 1965) |
Tmin, Tmax | 0.275, 0.454 |
No. of measured, independent and observed [I > 2σ(I)] reflections | 85183, 5858, 4683 |
Rint | 0.051 |
(sin θ/λ)max (Å−1) | 0.904 |
Refinement | |
R[F2 > 2σ(F2)], wR(F2), S | 0.027, 0.048, 1.12 |
No. of reflections | 5858 |
No. of parameters | 99 |
w = 1/[σ2(Fo2) + (0.0133P)2 + 67.7286P] where P = (Fo2 + 2Fc2)/3 | |
Δρmax, Δρmin (e Å−3) | 2.46, −2.81 |
Computer programs: COLLECT (Nonius, 1998), COLLECT, EVALCCD (Duisenberg, 1998), SHELXL97 (Sheldrick, 1997), DIAMOND (Bergerhoff, 1996), SHELXL97.
Cs1—S1i | 3.2828 (5) | Mo2—S2 | 2.4708 (6) |
Cs1—S7 | 3.3076 (9) | Mo2—Mo2v | 2.6925 (4) |
Cs1—S2 | 3.6495 (4) | Mo3—S7 | 2.3982 (7) |
Cs1—S3i | 3.7813 (6) | Mo3—S1vii | 2.4632 (5) |
Cs2—S4ii | 3.5439 (6) | Mo3—S3 | 2.4905 (6) |
Cs2—S5ii | 3.7232 (6) | Mo3—S3iii | 2.5025 (6) |
Cs2—S3iii | 3.7255 (6) | Mo3—S4 | 2.5857 (6) |
Cs3—S6 | 3.5535 (9) | Mo3—Mo3ix | 2.6341 (3) |
Cs3—S5iv | 3.5857 (6) | Mo3—Mo4ix | 2.7139 (2) |
Cs3—S4v | 3.6020 (6) | Mo3—Mo4 | 2.7479 (2) |
Cs3—S5vi | 3.9872 (6) | Mo4—S4iii | 2.4711 (6) |
Mo1—S6 | 2.4143 (7) | Mo4—S3iii | 2.4723 (5) |
Mo1—S1 | 2.4322 (6) | Mo4—S4 | 2.4802 (6) |
Mo1—S1vii | 2.4529 (6) | Mo4—S5 | 2.5787 (6) |
Mo1—S3 | 2.5303 (6) | Mo4—Mo5iii | 2.6634 (2) |
Mo1—S2 | 2.6267 (4) | Mo4—Mo5 | 2.6779 (2) |
Mo1—Mo1v | 2.6771 (3) | Mo4—Mo4iii | 2.6804 (3) |
Mo1—Mo2vii | 2.7313 (2) | Mo5—S5 | 2.4863 (6) |
Mo1—Mo2 | 2.7820 (2) | Mo5—S5ix | 2.5047 (6) |
Mo1—Mo3 | 3.2864 (2) | Mo5—S5x | 2.5800 (6) |
Mo2—S1viii | 2.4115 (5) | Mo5—S4 | 2.5831 (6) |
Mo2—S1 | 2.4117 (5) | Mo5—Mo5ix | 2.6679 (3) |
Mo2—S2v | 2.4708 (6) | Mo5—Mo5x | 2.7139 (3) |
S1xi—Cs1—S1i | 117.572 (5) |
Symmetry codes: (i) y+4/3, x−4/3, −z+1/6; (ii) −y, x−y−1, z; (iii) −x+y+2, −x+1, z; (iv) x, y−1, z; (v) −x+y+2, −x, z; (vi) −x+1, −y−1, −z; (vii) −y, x−y−2, z; (viii) x−y−2/3, −y−4/3, −z+1/6; (ix) −y+1, x−y−1, z; (x) x−y, x−1, −z; (xi) x−y−2/3, −y−1/3, −z+1/6. |
The crystal structures of the reduced molybdenum chalcogenides are characterized by metal-metal bonding which manifests itself as discrete clusters of diverse sizes and geometries. Up to now, eleven different Mo clusters with nuclearities going from 3 to 36 have been synthesized in solid-state compounds. Clusters with a nuclearity higher than six, i.e. Mo3n (n = 3, 4, 5, 6, 7, 8, 10 and 12) result from the one-dimensional trans-face sharing of (n-1) Mo6 octahedra. The Mo3n clusters are surrounded by 3n+8 chalchogenide atoms to form Mo3nXi3n+2Xa6 units that share the six external Xa atoms to create the Mo—X framework. Large voids or channels between the Mo3nX3n+2 units are thus formed in which the cations reside. Compounds containing such clusters can be classified in two groups. The first group comprises the reduced molybdenum chalcogenides, the crystal structures of which contain only one type of cluster. This group is particularly well represented by the series of compounds Mn-2Mo3nX3n+2 (M = Rb, Cs; X = S, Se or Te; n = 3, 4, 5, 6, 7, 8, 10 and 12) containing Mo9, Mo12, Mo15, Mo18, Mo21, Mo24, Mo30 and Mo36 clusters (Gougeon, 1984; Gougeon et al., 1984; Gougeon et al., 1987; Gougeon et al., 1988, Gougeon et al., 1989a, b; Gougeon et al., 1990; Thomas et al., 1997; Gautier et al., 1998; Picard et al., 1999a, b). The second group is based on compounds containing clusters of different nuclearities in equal proportion and is represented by the series of compounds Rb2nMo9S11Mo6nS6n+2 (n = 1, 2, 3, 4 and 5) (Picard et al., 2000). The interest for these Mo cluster compounds lies not only in their fascinating structural aspect but, also, in their interesting physical properties. For example, the Rb2nMo9S11Mo6nS6n+2 (n = 1, 2, 3, and 4) compounds are superconducting with critical temperatures ranging from 4.2 to 11 K.
We present here the crystal structure of Cs6Mo27S31 that contains Mo9Si11Sa6 and Mo18Si20Sa6 cluster units in equal proportion. This compound is isostructural with Rb6Mo27S31 and constitutes the third member of the Cs2nMo9S11Mo6nS6n+2 series. The Mo9S11 and Mo18S20 cluster units are centred at 6a (D3 or 32 symmetry) and 6 b positions (S6 or 3 symmetry), respectively (Fig. 1). The Mo—Mo distances within the Mo9 clusters are 2.6771 (3) Å and 2.6925 (4) Å for the intra-triangle distances (distances within the Mo3 triangles formed by the Mo atoms related through the threefold axis), and 2.7313 (2) Å and 2.7820 (2) Å for the inter-triangle distances. The Mo—Mo distances within the Mo18 clusters are comprised between 2.6341 (3) and 2.6804 (3) Å for the intra-triangle distances and 2.7139 (2) and 2.7479 (2) Å for those between the Mo3 triangles. The sulfur atoms bridge either one [S1, S3, S5 and S6] or two [S2, S4 and S5] Mo triangular faces of the clusters. Moreover the S1 and S3 atoms are linked to a Mo atom of a neighbouring cluster. The Mo—S bond distances range from 2.4115 (5) to 2.6267 (4) Å within the Mo9S11 unit and from 2.3982 (7) to 2.5857 (6) Å within the Mo18S20 unit. The Mo—Mo and Mo—S distances in both units are quite similar to those observed in Rb6Mo27S31 (Picard et al., 2000) since the greatest difference is 0.01 Å for the Mo—Mo and Mo—S bonds. This clearly shows that the number of electrons per Mo9 and Mo18 clusters should be almost the same in both compounds. Each Mo9S11 unit is interconnected to six Mo18S20 units (and vice-versa) via Mo1 - S3 bonds (respectively Mo3 - S1) to form a three-dimensional Mo—S framework with a connectivity of Mo9Si5Si-a6/2Sa-i6/2, Mo18Si14Si-a6/2Sa-i6/2 (Fig. 2). It results from this arrangement that the shortest Mo1—Mo3 distance between the Mo9 and Mo18 clusters is 3.2864 (2) Å, indicating only weak metal-metal interactions. The Mo1—Mo3 distance is slightly longer than the distance of 3.223 (1) Å observed for Rb6Mo27S31, as expected from the larger size of the Cs+ cations.
The alkali-metal cations are arranged in finite chains along the three- fold axis between two adjacent Mo9S11 and Mo18S20 units. The Cs1+ and Cs3+ cations at both ends of the finite chains are in tetra-capped trigonal prismatic environment of sulfur atoms, and the Cs2+ cations are in tri-capped trigonal coordination (Fig. 3). The latter environment is similar to that encountered in the quasi-one-dimensional compounds M2Mo6X6 (Potel, 1981). The Cs—S distances spread over a wide range from 3.2829 (5) Å to 3.9872 (6) Å.
Cs6Mo27S31 was found to be superconducting at 3.3 K (7 K for Rb6Mo27S31) from dc susceptibility measurements on a batch of single crystals.