Supporting information
Crystallographic Information File (CIF) https://doi.org/10.1107/S0108270100012427/sk1419sup1.cif | |
Structure factor file (CIF format) https://doi.org/10.1107/S0108270100012427/sk1419Isup2.hkl |
CCDC reference: 156161
A sample of compound (I) was obtained from Aldrich. Crystals suitable for single-crystal X-ray diffraction analysis were grown from a solution in ethanol.
Compound (I) crystallized in the orthorhombic system; space group P212121 was assigned uniquely from the systematic absences. H atoms were treated as riding atoms, with C—H = 0.93–0.98 Å and O—H = 0.82 Å. Examination of the structure with PLATON (Spek, 2000) showed that there were no solvent-accessible voids in the crystal lattice.
Data collection: XPREP (Bruker, 1997); cell refinement: XPREP; data reduction: XPREP; program(s) used to solve structure: SHELXS97 (Sheldrick, 1997); program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: ORTEPII (Johnson, 1976) and PLATON (Spek, 2000); software used to prepare material for publication: SHELXL97 and WORDPERFECT macro PRPKAPPA (Ferguson, 1999).
C12H15NO7S | Dx = 1.559 Mg m−3 |
Mr = 317.31 | Mo Kα radiation, λ = 0.71073 Å |
Orthorhombic, P212121 | Cell parameters from 3097 reflections |
a = 8.2214 (4) Å | θ = 2.3–27.4° |
b = 11.4293 (5) Å | µ = 0.27 mm−1 |
c = 14.3861 (6) Å | T = 298 K |
V = 1351.79 (10) Å3 | Block, yellow |
Z = 4 | 0.37 × 0.30 × 0.30 mm |
F(000) = 664 |
KappaCCD diffractometer | 3097 independent reflections |
Radiation source: fine-focus sealed X-ray tube | 2874 reflections with I > 2σ(I) |
Graphite monochromator | Rint = 0.023 |
ϕ and ω scans with κ offsets | θmax = 27.4°, θmin = 2.3° |
Absorption correction: multi-scan (SADABS; Bruker, 1997) | h = −10→7 |
Tmin = 0.905, Tmax = 0.922 | k = −14→14 |
10075 measured reflections | l = −18→18 |
Refinement on F2 | Secondary atom site location: difference Fourier map |
Least-squares matrix: full | Hydrogen site location: inferred from neighbouring sites |
R[F2 > 2σ(F2)] = 0.027 | H-atom parameters constrained |
wR(F2) = 0.074 | w = 1/[σ2(Fo2) + (0.051P)2] where P = (Fo2 + 2Fc2)/3 |
S = 1.01 | (Δ/σ)max < 0.001 |
3097 reflections | Δρmax = 0.23 e Å−3 |
188 parameters | Δρmin = −0.21 e Å−3 |
0 restraints | Absolute structure: Flack (1983) |
Primary atom site location: structure-invariant direct methods | Absolute structure parameter: 0.03 (6) |
C12H15NO7S | V = 1351.79 (10) Å3 |
Mr = 317.31 | Z = 4 |
Orthorhombic, P212121 | Mo Kα radiation |
a = 8.2214 (4) Å | µ = 0.27 mm−1 |
b = 11.4293 (5) Å | T = 298 K |
c = 14.3861 (6) Å | 0.37 × 0.30 × 0.30 mm |
KappaCCD diffractometer | 3097 independent reflections |
Absorption correction: multi-scan (SADABS; Bruker, 1997) | 2874 reflections with I > 2σ(I) |
Tmin = 0.905, Tmax = 0.922 | Rint = 0.023 |
10075 measured reflections |
R[F2 > 2σ(F2)] = 0.027 | H-atom parameters constrained |
wR(F2) = 0.074 | Δρmax = 0.23 e Å−3 |
S = 1.01 | Δρmin = −0.21 e Å−3 |
3097 reflections | Absolute structure: Flack (1983) |
188 parameters | Absolute structure parameter: 0.03 (6) |
0 restraints |
x | y | z | Uiso*/Ueq | ||
S1 | 0.77449 (5) | 0.61321 (4) | 0.81936 (2) | 0.03595 (10) | |
C11 | 0.71053 (17) | 0.60652 (12) | 0.93619 (9) | 0.0288 (3) | |
C12 | 0.81725 (18) | 0.57723 (12) | 1.00849 (10) | 0.0304 (3) | |
N1 | 0.99067 (17) | 0.55948 (11) | 0.99031 (9) | 0.0369 (3) | |
O11 | 1.03245 (16) | 0.52698 (13) | 0.91302 (9) | 0.0552 (4) | |
O12 | 1.08659 (16) | 0.57771 (12) | 1.05384 (9) | 0.0542 (3) | |
C13 | 0.7683 (2) | 0.56643 (15) | 1.10035 (11) | 0.0403 (4) | |
C14 | 0.6093 (2) | 0.58725 (16) | 1.12318 (11) | 0.0458 (4) | |
C15 | 0.5008 (2) | 0.62165 (16) | 1.05453 (12) | 0.0423 (4) | |
C16 | 0.54973 (19) | 0.62961 (14) | 0.96273 (11) | 0.0353 (3) | |
C21 | 0.62772 (17) | 0.71145 (13) | 0.76760 (9) | 0.0306 (3) | |
C22 | 0.71078 (17) | 0.76739 (12) | 0.68327 (10) | 0.0303 (3) | |
O2 | 0.84180 (15) | 0.83866 (11) | 0.71266 (8) | 0.0452 (3) | |
C23 | 0.59022 (19) | 0.84516 (13) | 0.63260 (10) | 0.0314 (3) | |
O3 | 0.66404 (13) | 0.88920 (10) | 0.54919 (7) | 0.0399 (2) | |
C24 | 0.43542 (18) | 0.78063 (13) | 0.60848 (10) | 0.0315 (3) | |
O4 | 0.47163 (14) | 0.69812 (11) | 0.53711 (7) | 0.0401 (3) | |
C25 | 0.36809 (17) | 0.72243 (14) | 0.69650 (10) | 0.0331 (3) | |
C26 | 0.2202 (2) | 0.64512 (16) | 0.68063 (12) | 0.0433 (4) | |
O6 | 0.09260 (10) | 0.71183 (8) | 0.64071 (8) | 0.0573 (4) | |
O5 | 0.48775 (10) | 0.64780 (8) | 0.73943 (7) | 0.0337 (2) | |
H13 | 0.8428 | 0.5453 | 1.1460 | 0.048* | |
H14 | 0.5742 | 0.5784 | 1.1842 | 0.055* | |
H15 | 0.3940 | 0.6396 | 1.0704 | 0.051* | |
H16 | 0.4742 | 0.6508 | 0.9176 | 0.042* | |
H21 | 0.5969 | 0.7721 | 0.8124 | 0.037* | |
H22 | 0.7507 | 0.7063 | 0.6413 | 0.036* | |
H2 | 0.9281 | 0.8063 | 0.7002 | 0.054* | |
H23 | 0.5628 | 0.9115 | 0.6728 | 0.038* | |
H3 | 0.7480 | 0.9241 | 0.5624 | 0.060* | |
H24 | 0.3553 | 0.8368 | 0.5850 | 0.038* | |
H4 | 0.3887 | 0.6623 | 0.5231 | 0.060* | |
H25 | 0.3384 | 0.7839 | 0.7408 | 0.040* | |
H26A | 0.2487 | 0.5811 | 0.6395 | 0.052* | |
H26B | 0.1845 | 0.6122 | 0.7393 | 0.052* | |
H6 | 0.0852 | 0.6964 | 0.5852 | 0.086* |
U11 | U22 | U33 | U12 | U13 | U23 | |
S1 | 0.03172 (18) | 0.0494 (2) | 0.02675 (16) | 0.01206 (17) | −0.00061 (14) | 0.00108 (15) |
C11 | 0.0280 (7) | 0.0307 (6) | 0.0277 (6) | −0.0007 (6) | −0.0014 (5) | −0.0009 (5) |
C12 | 0.0280 (8) | 0.0301 (6) | 0.0330 (7) | 0.0032 (5) | −0.0020 (6) | −0.0007 (5) |
N1 | 0.0330 (7) | 0.0378 (6) | 0.0397 (7) | 0.0087 (6) | −0.0038 (6) | 0.0028 (6) |
O11 | 0.0453 (7) | 0.0764 (9) | 0.0440 (7) | 0.0283 (7) | 0.0025 (6) | 0.0005 (6) |
O12 | 0.0364 (6) | 0.0650 (8) | 0.0611 (8) | 0.0055 (6) | −0.0171 (6) | −0.0064 (6) |
C13 | 0.0447 (9) | 0.0456 (8) | 0.0306 (7) | 0.0022 (8) | −0.0064 (7) | 0.0011 (6) |
C14 | 0.0499 (10) | 0.0566 (10) | 0.0309 (8) | 0.0023 (9) | 0.0087 (7) | 0.0010 (7) |
C15 | 0.0321 (8) | 0.0490 (9) | 0.0457 (9) | 0.0004 (7) | 0.0103 (7) | −0.0019 (7) |
C16 | 0.0266 (7) | 0.0417 (8) | 0.0377 (7) | 0.0012 (6) | −0.0013 (6) | 0.0033 (6) |
C21 | 0.0254 (7) | 0.0390 (7) | 0.0272 (6) | 0.0034 (6) | −0.0031 (5) | 0.0001 (6) |
C22 | 0.0240 (6) | 0.0370 (7) | 0.0297 (6) | 0.0002 (6) | −0.0016 (6) | −0.0014 (6) |
O2 | 0.0293 (6) | 0.0516 (6) | 0.0547 (7) | −0.0093 (5) | −0.0084 (5) | 0.0009 (5) |
C23 | 0.0288 (7) | 0.0342 (7) | 0.0311 (7) | 0.0031 (6) | 0.0016 (6) | 0.0001 (5) |
O3 | 0.0369 (6) | 0.0446 (6) | 0.0384 (5) | −0.0051 (5) | 0.0008 (5) | 0.0094 (5) |
C24 | 0.0272 (7) | 0.0379 (7) | 0.0293 (7) | 0.0060 (6) | −0.0036 (6) | 0.0002 (6) |
O4 | 0.0379 (6) | 0.0514 (6) | 0.0311 (5) | −0.0070 (5) | 0.0019 (5) | −0.0083 (5) |
C25 | 0.0240 (7) | 0.0457 (8) | 0.0295 (7) | 0.0046 (6) | −0.0006 (5) | −0.0007 (6) |
C26 | 0.0252 (7) | 0.0657 (10) | 0.0389 (8) | −0.0046 (7) | −0.0003 (7) | 0.0041 (8) |
O6 | 0.0268 (6) | 0.1052 (11) | 0.0399 (6) | 0.0087 (7) | −0.0053 (5) | 0.0005 (7) |
O5 | 0.0255 (5) | 0.0426 (5) | 0.0330 (5) | −0.0012 (4) | −0.0041 (4) | 0.0055 (4) |
C11—C12 | 1.4013 (19) | O2—H2 | 0.8200 |
C12—C13 | 1.387 (2) | C23—O3 | 1.4358 (17) |
C13—C14 | 1.369 (3) | C23—C24 | 1.511 (2) |
C14—C15 | 1.388 (2) | C23—H23 | 0.9800 |
C15—C16 | 1.384 (2) | O3—H3 | 0.8200 |
C16—C11 | 1.401 (2) | C24—O4 | 1.4255 (18) |
C12—N1 | 1.464 (2) | C24—C25 | 1.534 (2) |
N1—O11 | 1.2215 (18) | C24—H24 | 0.9800 |
N1—O12 | 1.2250 (18) | O4—H4 | 0.8200 |
C13—H13 | 0.9300 | C25—O5 | 1.4412 (16) |
C14—H14 | 0.9300 | C25—C26 | 1.520 (2) |
C15—H15 | 0.9300 | C25—H25 | 0.9800 |
C16—H16 | 0.9300 | C26—O6 | 1.4186 (19) |
C21—O5 | 1.4205 (16) | C26—H26A | 0.9700 |
C21—C22 | 1.5320 (19) | C26—H26B | 0.9700 |
C21—H21 | 0.9800 | O6—H6 | 0.8200 |
C22—O2 | 1.4151 (17) | S1—C11 | 1.7628 (14) |
C22—C23 | 1.518 (2) | S1—C21 | 1.8086 (14) |
C22—H22 | 0.9800 | ||
C11—S1—C21 | 102.73 (7) | C23—C22—H22 | 109.9 |
C16—C11—C12 | 115.70 (13) | C21—C22—H22 | 109.9 |
C16—C11—S1 | 122.21 (11) | C22—O2—H2 | 109.5 |
C12—C11—S1 | 122.09 (11) | O3—C23—C24 | 109.58 (12) |
C13—C12—C11 | 123.15 (14) | O3—C23—C22 | 109.31 (12) |
C13—C12—N1 | 116.14 (13) | C24—C23—C22 | 111.98 (12) |
C11—C12—N1 | 120.69 (13) | O3—C23—H23 | 108.6 |
O11—N1—O12 | 123.35 (15) | C24—C23—H23 | 108.6 |
O11—N1—C12 | 118.60 (13) | C22—C23—H23 | 108.6 |
O12—N1—C12 | 118.04 (14) | C23—O3—H3 | 109.5 |
C14—C13—C12 | 119.36 (15) | O4—C24—C23 | 108.20 (12) |
C14—C13—H13 | 120.3 | O4—C24—C25 | 112.52 (12) |
C12—C13—H13 | 120.3 | C23—C24—C25 | 109.03 (12) |
C13—C14—C15 | 119.49 (15) | O4—C24—H24 | 109.0 |
C13—C14—H14 | 120.3 | C23—C24—H24 | 109.0 |
C15—C14—H14 | 120.3 | C25—C24—H24 | 109.0 |
C16—C15—C14 | 120.74 (16) | C24—O4—H4 | 109.5 |
C16—C15—H15 | 119.6 | O5—C25—C26 | 105.44 (13) |
C14—C15—H15 | 119.6 | O5—C25—C24 | 111.36 (11) |
C15—C16—C11 | 121.46 (15) | C26—C25—C24 | 114.64 (12) |
C15—C16—H16 | 119.3 | O5—C25—H25 | 108.4 |
C11—C16—H16 | 119.3 | C26—C25—H25 | 108.4 |
O5—C21—C22 | 110.42 (11) | C24—C25—H25 | 108.4 |
O5—C21—S1 | 109.88 (9) | O6—C26—C25 | 109.87 (13) |
C22—C21—S1 | 106.72 (9) | O6—C26—H26A | 109.7 |
O5—C21—H21 | 109.9 | C25—C26—H26A | 109.7 |
C22—C21—H21 | 109.9 | O6—C26—H26B | 109.7 |
S1—C21—H21 | 109.9 | C25—C26—H26B | 109.7 |
O2—C22—C23 | 107.66 (12) | H26A—C26—H26B | 108.2 |
O2—C22—C21 | 110.05 (11) | C26—O6—H6 | 109.5 |
C23—C22—C21 | 109.49 (12) | C21—O5—C25 | 111.85 (10) |
O2—C22—H22 | 109.9 | ||
C21—S1—C11—C16 | 24.36 (14) | S1—C21—C22—C23 | 176.28 (9) |
C21—S1—C11—C12 | −155.93 (12) | S1—C21—O5—C25 | −179.18 (9) |
C16—C11—C12—C13 | 2.6 (2) | O5—C21—C22—C23 | 56.89 (15) |
S1—C11—C12—C13 | −177.11 (12) | O2—C22—C23—O3 | 65.42 (14) |
C16—C11—C12—N1 | −175.59 (13) | C21—C22—C23—O3 | −174.95 (11) |
S1—C11—C12—N1 | 4.69 (19) | O2—C22—C23—C24 | −172.96 (12) |
C13—C12—N1—O11 | 154.42 (15) | C21—C22—C23—C24 | −53.32 (15) |
C11—C12—N1—O11 | −27.3 (2) | O3—C23—C24—O4 | 51.02 (15) |
C13—C12—N1—O12 | −25.3 (2) | C22—C23—C24—O4 | −70.45 (15) |
C11—C12—N1—O12 | 152.99 (14) | O3—C23—C24—C25 | 173.70 (12) |
C11—C12—C13—C14 | −1.3 (2) | C22—C23—C24—C25 | 52.23 (16) |
N1—C12—C13—C14 | 176.96 (15) | O4—C24—C25—O5 | 64.90 (15) |
C12—C13—C14—C15 | −1.6 (3) | C23—C24—C25—O5 | −55.14 (16) |
C13—C14—C15—C16 | 3.1 (3) | C24—C25—O5—C21 | 61.34 (15) |
C14—C15—C16—C11 | −1.8 (3) | O4—C24—C25—C26 | −54.69 (17) |
C12—C11—C16—C15 | −1.1 (2) | C23—C24—C25—C26 | −174.73 (13) |
S1—C11—C16—C15 | 178.66 (13) | O5—C25—C26—O6 | 178.30 (12) |
C11—S1—C21—O5 | −85.82 (10) | C24—C25—C26—O6 | −58.86 (17) |
C11—S1—C21—C22 | 154.44 (10) | C25—O5—C21—C22 | −61.72 (14) |
O5—C21—C22—O2 | 175.05 (11) | C26—C25—O5—C21 | −173.75 (11) |
S1—C21—C22—O2 | −65.57 (13) |
D—H···A | D—H | H···A | D···A | D—H···A |
O2—H2···O6i | 0.82 | 1.93 | 2.725 (2) | 163 |
O3—H3···O11ii | 0.82 | 2.18 | 3.000 (2) | 175 |
O4—H4···O3iii | 0.82 | 2.20 | 2.989 (2) | 161 |
O6—H6···O3iii | 0.82 | 2.26 | 3.024 (2) | 155 |
Symmetry codes: (i) x+1, y, z; (ii) −x+2, y+1/2, −z+3/2; (iii) x−1/2, −y+3/2, −z+1. |
Experimental details
Crystal data | |
Chemical formula | C12H15NO7S |
Mr | 317.31 |
Crystal system, space group | Orthorhombic, P212121 |
Temperature (K) | 298 |
a, b, c (Å) | 8.2214 (4), 11.4293 (5), 14.3861 (6) |
V (Å3) | 1351.79 (10) |
Z | 4 |
Radiation type | Mo Kα |
µ (mm−1) | 0.27 |
Crystal size (mm) | 0.37 × 0.30 × 0.30 |
Data collection | |
Diffractometer | KappaCCD diffractometer |
Absorption correction | Multi-scan (SADABS; Bruker, 1997) |
Tmin, Tmax | 0.905, 0.922 |
No. of measured, independent and observed [I > 2σ(I)] reflections | 10075, 3097, 2874 |
Rint | 0.023 |
(sin θ/λ)max (Å−1) | 0.648 |
Refinement | |
R[F2 > 2σ(F2)], wR(F2), S | 0.027, 0.074, 1.01 |
No. of reflections | 3097 |
No. of parameters | 188 |
H-atom treatment | H-atom parameters constrained |
Δρmax, Δρmin (e Å−3) | 0.23, −0.21 |
Absolute structure | Flack (1983) |
Absolute structure parameter | 0.03 (6) |
Computer programs: XPREP (Bruker, 1997), XPREP, SHELXS97 (Sheldrick, 1997), SHELXL97 (Sheldrick, 1997), ORTEPII (Johnson, 1976) and PLATON (Spek, 2000), SHELXL97 and WORDPERFECT macro PRPKAPPA (Ferguson, 1999).
C11—C12 | 1.4013 (19) | C21—O5 | 1.4205 (16) |
C12—C13 | 1.387 (2) | C22—O2 | 1.4151 (17) |
C13—C14 | 1.369 (3) | C23—O3 | 1.4358 (17) |
C14—C15 | 1.388 (2) | C24—O4 | 1.4255 (18) |
C15—C16 | 1.384 (2) | C25—O5 | 1.4412 (16) |
C16—C11 | 1.401 (2) | C26—O6 | 1.4186 (19) |
C12—N1 | 1.464 (2) | S1—C11 | 1.7628 (14) |
N1—O11 | 1.2215 (18) | S1—C21 | 1.8086 (14) |
N1—O12 | 1.2250 (18) | ||
C11—S1—C21 | 102.73 (7) | O11—N1—O12 | 123.35 (15) |
C21—S1—C11—C12 | −155.93 (12) | O5—C21—C22—C23 | 56.89 (15) |
C11—C12—N1—O11 | −27.3 (2) | C21—C22—C23—C24 | −53.32 (15) |
C11—S1—C21—O5 | −85.82 (10) | C22—C23—C24—C25 | 52.23 (16) |
C11—S1—C21—C22 | 154.44 (10) | C23—C24—C25—O5 | −55.14 (16) |
S1—C21—C22—C23 | 176.28 (9) | C24—C25—O5—C21 | 61.34 (15) |
S1—C21—O5—C25 | −179.18 (9) | C25—O5—C21—C22 | −61.72 (14) |
D—H···A | D—H | H···A | D···A | D—H···A |
O2—H2···O6i | 0.82 | 1.93 | 2.725 (2) | 163 |
O3—H3···O11ii | 0.82 | 2.18 | 3.000 (2) | 175 |
O4—H4···O3iii | 0.82 | 2.20 | 2.989 (2) | 161 |
O6—H6···O3iii | 0.82 | 2.26 | 3.024 (2) | 155 |
Symmetry codes: (i) x+1, y, z; (ii) −x+2, y+1/2, −z+3/2; (iii) x−1/2, −y+3/2, −z+1. |
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We have recently discussed the interplay between molecular conformation and intermolecular forces, particularly soft hydrogen bonds of the C—H···O type, in a range of 2-nitrophenylthiolates, 2-O2NC6H4SX (Low, Storey et al., 2000; Low, Glidewell & Wardell, 2000; Glidewell et al., 2000). Two distinct conformational types can be observed in this series of compounds: in one conformation, corresponding to the global energy minimum, both the nitro group and α-atom of substituent X are effectively coplanar with the nitrated aryl ring; the second conformer, in which the nitro group and the substituent X exhibit a significant and concerted twist out of the aryl ring plane, represents a local energy minimum and seems to occur only in the presence of intermolecular hydrogen bonds. As a further test of this idea, we report here a structural investigation of 2-nitrophenyl-β-D-thiogalactopyranoside, (I), selected for study because of the potential of the galactose fragment for the formation of multiple intermolecular O—H···O hydrogen bonds.
The nitro group in (I) (Fig. 1) is twisted out of the plane of the adjacent aryl ring and this is accompanied by the usual (Low, Storey et al., 2000; Low, Glidewell & Wardell, 2000; Glidewell et al., 2000) disrotatory twist of the S substituent out of this plane, as illustrated by the torsion angles C11—C12—N1—O11 and C12—C11—S1—C21 (Table 1). The extensive hydrogen bonding described below involves the nitro O11 atom as one of the hydrogen-bond acceptors. The β-D-galactopyranoside fragment adopts the usual chair conformation (Longchambon et al., 1975; Sheldrick, 1976), with all substituents other than O4 in equatorial sites.
The bond lengths in the nitroaryl ring portion (Table 1) do not show the marked quinonoid bond fixation observed in 2-O2NC6H4SCH═CHPh (Low, Storey et al., 2000). The C—O bond lengths in the galactose fragment show the usual difference between C21—O5 and C25—O5; the exocyclic C—O bonds span the range 1.4151 (17)–1.4358 (17) Å, whereas in β-D-galactopyranose itself, the exocyclic C—O bond distances are all of similar lengths, apart from the hemiacetal bond at C1 (Sheldrick, 1976).
The molecules of (I) are linked by four different hydrogen bonds: O3 is both a hydrogen-bond donor and a double acceptor, O6 is both a donor and acceptor, O4 is a donor only and the nitro O11 atom is a single acceptor (Table 2). Each molecule acts as a hydrogen-bond donor to three others and as a hydrogen-bond acceptor from three further molecules, and the overall supramolecular structure takes the form of a three-dimensional framework, which is best analysed in terms of the interaction of the individual motifs parallel to [100], [010] and [001]. Atoms O4 and O6 in the molecule at (x, y, z) both act as donor to O3 in the molecule at (−1/2 + x, 3/2 − y, 1 − z), while O4 and O6 at (−1/2 + x, 3/2 − y, 1 − z), in turn, are donors to O3 at (−1 + x, y, z), and propagation of these interactions produces a spiral chain generated by the 21 screw axis along (x, 3/4, 1/2). The O4 and O6 donors individually generate C(5) and C(7) (Bernstein et al., 1995) spirals along [100]; embedded in the spiral chains are R12(8) rings. At the same time, O2 in the molecule at (x, y, z) acts as donor to O6 at (1 + x, y, z), so producing by translation a C(8) chain parallel to [100]. The combination of this chain with the C(5) spiral generates a chain of fused R33(16) rings parallel to [100] (Fig. 2)
Atom O3 at (x, y, z) is itself a hydrogen-bond donor to O11 at (2 − x, 1/2 + y, 3/2 − z), while O3 at (2 − x, 1/2 + y, 3/2 − z) is a donor to O11 at (x, 1 + y, z); this hydrogen bond thus produces a C(10) spiral parallel to [010] generated by the 21 screw axis along (1, y, 3/4) (Fig. 3). The combination of the two types of spiral along [100] and [010], respectively, generates a third type of spiral, a C22(15) chain parallel to [001], in which alternate molecules act as donor donors and double acceptors of hydrogen bonds (Fig. 4). The [100] and [010] spirals can each be constructed using a single type of hydrogen bond; concurrent use of these two types generates the [001] spiral. By means of these three motifs parallel to [100], [010] and [001], the molecule at (x, y, z) is linked to those at (±1 + x, y, z), (x, ±1 + y, z) and (x, y, ±1 + z), so that a single framework is sufficient to define the entire crystal structure.