organic compounds
4,5-Diphenyl-2-p-tolyl-1H-imidazol-3-ium nitrate
aOrdered Matter Science Research Center, College of Chemistry and Chemical Engineering, Southeast University, Nanjing 210096, People's Republic of China
*Correspondence e-mail: fudavid88@yahoo.com.cn
In the cation of the title compound, C22H19N2+·NO3−, the N atom in the 3-position of the imidazole is protonated. The three pendant aromatic rings are twisted from the plane of the imadazolium ring by dihedral angles of 38.1 (1), 43.74 (9) and 20.4 (1)°. In the N—H⋯O and N—H⋯(O,O) hydrogen bonds link the molecules to form an infinite one-dimensional chain parallel to the c axis.
Related literature
For uses of imidazole derivatives, see: Dai & Fu (2008); Fu & Xiong (2008); Huang et al. (2008).
Experimental
Crystal data
|
Refinement
|
Data collection: CrystalClear (Rigaku, 2005); cell CrystalClear; data reduction: CrystalClear; program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: SHELXTL/PC (Sheldrick, 2008); software used to prepare material for publication: SHELXTL/PC.
Supporting information
10.1107/S1600536809018789/im2112sup1.cif
contains datablocks I, global. DOI:Structure factors: contains datablock I. DOI: 10.1107/S1600536809018789/im2112Isup2.hkl
Under nitrogen protection, 1,2-diphenyl-ethane-1,2-dione (20 mmol), 4-methylbenzaldehyde (20 mmol) and amine acetate (50 mmol) were dissolved in 60 ml of HOAc. The mixture was stirred at 110 °C for 20 h. The resulting solution was poured into ice water (200 ml) and after neutralizing the mixture with NaOH (6 mol/l) a white solid was obtained. After filtration and washing with distilled water the crude product was recrystallized from an ethanolic solution (150 ml) to which nitric acid (5 ml) was added to yield colorless block-like crystals of the title compound, suitable for X-ray analysis.
All H atoms attached to C atoms were fixed geometrically and treated as riding with C—H = 0.93 Å (aromatic), C—H = 0.96 Å (methyl). H atoms of the N atoms were located in difference Fourier maps and in the last stage of
they were treated as riding on the N atom (N—H = 0.86 Å) with Uiso(H) = 1.2Ueq(N).In the absence of significant
effects, Friedel pairs were averaged.Data collection: CrystalClear (Rigaku, 2005); cell
CrystalClear (Rigaku, 2005); data reduction: CrystalClear (Rigaku, 2005); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: SHELXTL/PC (Sheldrick, 2008); software used to prepare material for publication: SHELXTL/PC (Sheldrick, 2008).C22H19N2+·NO3− | F(000) = 784 |
Mr = 373.40 | Dx = 1.325 Mg m−3 |
Orthorhombic, P212121 | Mo Kα radiation, λ = 0.71073 Å |
Hall symbol: P 2ac 2ab | Cell parameters from 2714 reflections |
a = 8.442 (2) Å | θ = 3.1–27.5° |
b = 12.970 (3) Å | µ = 0.09 mm−1 |
c = 17.098 (3) Å | T = 298 K |
V = 1872.3 (6) Å3 | Block, colorless |
Z = 4 | 0.40 × 0.35 × 0.25 mm |
Rigaku Mercury2 diffractometer | 4278 independent reflections |
Radiation source: fine-focus sealed tube | 2714 reflections with I > 2σ(I) |
Graphite monochromator | Rint = 0.089 |
Detector resolution: 13.6612 pixels mm-1 | θmax = 27.5°, θmin = 3.1° |
CCD profile fitting scans | h = −10→10 |
Absorption correction: multi-scan (CrystalClear; Rigaku, 2005) | k = −16→16 |
Tmin = 0.955, Tmax = 1.000 | l = −22→22 |
19745 measured reflections |
Refinement on F2 | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | Secondary atom site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.059 | Hydrogen site location: inferred from neighbouring sites |
wR(F2) = 0.143 | H-atom parameters constrained |
S = 1.03 | w = 1/[σ2(Fo2) + (0.0541P)2 + 0.288P] where P = (Fo2 + 2Fc2)/3 |
4278 reflections | (Δ/σ)max < 0.001 |
254 parameters | Δρmax = 0.26 e Å−3 |
0 restraints | Δρmin = −0.20 e Å−3 |
C22H19N2+·NO3− | V = 1872.3 (6) Å3 |
Mr = 373.40 | Z = 4 |
Orthorhombic, P212121 | Mo Kα radiation |
a = 8.442 (2) Å | µ = 0.09 mm−1 |
b = 12.970 (3) Å | T = 298 K |
c = 17.098 (3) Å | 0.40 × 0.35 × 0.25 mm |
Rigaku Mercury2 diffractometer | 4278 independent reflections |
Absorption correction: multi-scan (CrystalClear; Rigaku, 2005) | 2714 reflections with I > 2σ(I) |
Tmin = 0.955, Tmax = 1.000 | Rint = 0.089 |
19745 measured reflections |
R[F2 > 2σ(F2)] = 0.059 | 0 restraints |
wR(F2) = 0.143 | H-atom parameters constrained |
S = 1.03 | Δρmax = 0.26 e Å−3 |
4278 reflections | Δρmin = −0.20 e Å−3 |
254 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 | ||
N1 | 0.3099 (3) | 0.44418 (17) | 0.66981 (13) | 0.0415 (6) | |
H1A | 0.2804 | 0.4503 | 0.7177 | 0.050* | |
N2 | 0.3114 (3) | 0.45286 (18) | 0.54570 (13) | 0.0438 (6) | |
H2A | 0.2827 | 0.4654 | 0.4984 | 0.053* | |
C16 | 0.0757 (3) | 0.5305 (2) | 0.60980 (17) | 0.0409 (7) | |
C8 | 0.4517 (3) | 0.4054 (2) | 0.56608 (16) | 0.0402 (7) | |
C19 | −0.2150 (3) | 0.6340 (2) | 0.61119 (19) | 0.0464 (7) | |
C7 | 0.4501 (3) | 0.3994 (2) | 0.64587 (15) | 0.0368 (6) | |
C15 | 0.2268 (3) | 0.4767 (2) | 0.60831 (17) | 0.0407 (7) | |
C6 | 0.5633 (3) | 0.3576 (2) | 0.70270 (15) | 0.0389 (7) | |
C1 | 0.6475 (3) | 0.2682 (2) | 0.68690 (17) | 0.0462 (7) | |
H1 | 0.6301 | 0.2329 | 0.6403 | 0.055* | |
C21 | 0.0283 (4) | 0.5898 (2) | 0.54664 (17) | 0.0482 (7) | |
H21 | 0.0938 | 0.5955 | 0.5031 | 0.058* | |
C10 | 0.7240 (4) | 0.3933 (2) | 0.51284 (18) | 0.0492 (8) | |
H10 | 0.7630 | 0.4213 | 0.5591 | 0.059* | |
C17 | −0.0230 (3) | 0.5248 (2) | 0.67441 (17) | 0.0483 (8) | |
H17 | 0.0068 | 0.4859 | 0.7177 | 0.058* | |
C9 | 0.5648 (3) | 0.3741 (2) | 0.50526 (16) | 0.0406 (7) | |
C12 | 0.7709 (4) | 0.3280 (3) | 0.38461 (18) | 0.0559 (8) | |
H12 | 0.8403 | 0.3138 | 0.3438 | 0.067* | |
C20 | −0.1144 (4) | 0.6400 (2) | 0.54785 (18) | 0.0499 (8) | |
H20 | −0.1442 | 0.6793 | 0.5048 | 0.060* | |
C14 | 0.5107 (4) | 0.3290 (3) | 0.43701 (17) | 0.0550 (8) | |
H14 | 0.4035 | 0.3142 | 0.4315 | 0.066* | |
C13 | 0.6136 (4) | 0.3057 (3) | 0.37721 (18) | 0.0611 (9) | |
H13 | 0.5761 | 0.2749 | 0.3318 | 0.073* | |
C4 | 0.6997 (4) | 0.3718 (3) | 0.82531 (18) | 0.0594 (9) | |
H4 | 0.7178 | 0.4068 | 0.8719 | 0.071* | |
C11 | 0.8262 (4) | 0.3713 (3) | 0.45231 (19) | 0.0577 (9) | |
H11 | 0.9335 | 0.3860 | 0.4575 | 0.069* | |
C18 | −0.1656 (3) | 0.5769 (2) | 0.67453 (17) | 0.0475 (8) | |
H18 | −0.2300 | 0.5733 | 0.7186 | 0.057* | |
C5 | 0.5878 (4) | 0.4079 (2) | 0.77306 (16) | 0.0482 (8) | |
H5 | 0.5287 | 0.4662 | 0.7852 | 0.058* | |
C2 | 0.7562 (4) | 0.2313 (3) | 0.73960 (19) | 0.0583 (9) | |
H2 | 0.8112 | 0.1708 | 0.7290 | 0.070* | |
C3 | 0.7842 (4) | 0.2839 (3) | 0.8083 (2) | 0.0635 (9) | |
H3 | 0.8603 | 0.2600 | 0.8431 | 0.076* | |
C22 | −0.3743 (4) | 0.6851 (3) | 0.6105 (2) | 0.0662 (9) | |
H22A | −0.4143 | 0.6869 | 0.5580 | 0.099* | |
H22B | −0.3645 | 0.7542 | 0.6300 | 0.099* | |
H22C | −0.4460 | 0.6470 | 0.6431 | 0.099* | |
O3 | 0.1692 (3) | 0.3887 (2) | 0.80660 (12) | 0.0721 (7) | |
N3 | 0.1779 (4) | 0.4295 (2) | 0.87181 (16) | 0.0564 (7) | |
O2 | 0.1035 (4) | 0.3954 (2) | 0.92659 (14) | 0.0901 (9) | |
O1 | 0.2677 (3) | 0.5050 (2) | 0.88344 (16) | 0.0796 (8) |
U11 | U22 | U33 | U12 | U13 | U23 | |
N1 | 0.0432 (13) | 0.0476 (14) | 0.0338 (12) | 0.0053 (12) | 0.0035 (11) | −0.0016 (10) |
N2 | 0.0445 (15) | 0.0562 (15) | 0.0306 (12) | 0.0085 (12) | 0.0007 (11) | 0.0029 (11) |
C16 | 0.0384 (15) | 0.0424 (15) | 0.0419 (16) | 0.0045 (13) | −0.0010 (15) | −0.0022 (14) |
C8 | 0.0360 (15) | 0.0432 (16) | 0.0413 (16) | 0.0010 (14) | −0.0024 (13) | 0.0032 (13) |
C19 | 0.0426 (16) | 0.0425 (15) | 0.0541 (18) | 0.0026 (14) | −0.0014 (16) | −0.0071 (15) |
C7 | 0.0331 (14) | 0.0398 (15) | 0.0376 (15) | 0.0001 (13) | 0.0015 (12) | −0.0009 (12) |
C15 | 0.0402 (15) | 0.0446 (16) | 0.0374 (16) | 0.0030 (13) | 0.0008 (14) | 0.0038 (14) |
C6 | 0.0367 (15) | 0.0470 (16) | 0.0330 (14) | −0.0035 (14) | 0.0009 (12) | 0.0024 (12) |
C1 | 0.0410 (16) | 0.0520 (17) | 0.0456 (17) | 0.0058 (15) | −0.0002 (14) | 0.0000 (15) |
C21 | 0.0508 (18) | 0.0513 (17) | 0.0426 (17) | 0.0061 (16) | 0.0029 (15) | 0.0078 (14) |
C10 | 0.0453 (17) | 0.0503 (17) | 0.0522 (18) | 0.0002 (15) | −0.0004 (14) | −0.0071 (15) |
C17 | 0.0475 (17) | 0.0576 (18) | 0.0396 (17) | 0.0040 (15) | 0.0006 (15) | 0.0048 (14) |
C9 | 0.0432 (16) | 0.0400 (15) | 0.0387 (15) | 0.0063 (14) | 0.0025 (13) | 0.0037 (13) |
C12 | 0.057 (2) | 0.068 (2) | 0.0424 (18) | 0.0168 (17) | 0.0100 (17) | −0.0034 (17) |
C20 | 0.057 (2) | 0.0465 (17) | 0.0460 (18) | 0.0091 (16) | −0.0023 (15) | 0.0046 (15) |
C14 | 0.0473 (19) | 0.075 (2) | 0.0425 (18) | 0.0035 (17) | −0.0005 (15) | −0.0022 (16) |
C13 | 0.062 (2) | 0.082 (2) | 0.0386 (18) | 0.0152 (19) | −0.0057 (16) | −0.0114 (17) |
C4 | 0.070 (2) | 0.068 (2) | 0.0398 (17) | −0.014 (2) | −0.0128 (17) | 0.0063 (16) |
C11 | 0.0453 (19) | 0.062 (2) | 0.066 (2) | −0.0002 (17) | 0.0112 (17) | −0.0041 (18) |
C18 | 0.0433 (16) | 0.0556 (18) | 0.0435 (17) | −0.0022 (15) | 0.0109 (14) | −0.0055 (15) |
C5 | 0.0542 (19) | 0.0508 (18) | 0.0396 (17) | −0.0052 (17) | −0.0005 (15) | 0.0020 (14) |
C2 | 0.0446 (19) | 0.067 (2) | 0.063 (2) | 0.0116 (17) | −0.0022 (17) | 0.0084 (18) |
C3 | 0.0506 (19) | 0.083 (2) | 0.057 (2) | −0.0026 (19) | −0.0162 (17) | 0.023 (2) |
C22 | 0.0498 (19) | 0.064 (2) | 0.085 (2) | 0.0097 (16) | −0.002 (2) | −0.001 (2) |
O3 | 0.0800 (17) | 0.1055 (19) | 0.0309 (12) | 0.0005 (15) | −0.0044 (12) | −0.0037 (13) |
N3 | 0.0602 (18) | 0.0612 (18) | 0.0477 (17) | 0.0134 (15) | −0.0019 (15) | 0.0046 (14) |
O2 | 0.142 (3) | 0.0865 (19) | 0.0423 (13) | −0.011 (2) | 0.0201 (16) | 0.0009 (14) |
O1 | 0.0746 (17) | 0.0722 (16) | 0.092 (2) | −0.0013 (15) | 0.0004 (17) | −0.0109 (15) |
N1—C15 | 1.333 (3) | C17—H17 | 0.9300 |
N1—C7 | 1.381 (3) | C9—C14 | 1.383 (4) |
N1—H1A | 0.8600 | C12—C13 | 1.364 (5) |
N2—C15 | 1.324 (3) | C12—C11 | 1.369 (4) |
N2—C8 | 1.379 (4) | C12—H12 | 0.9300 |
N2—H2A | 0.8600 | C20—H20 | 0.9300 |
C16—C21 | 1.385 (4) | C14—C13 | 1.375 (4) |
C16—C17 | 1.386 (4) | C14—H14 | 0.9300 |
C16—C15 | 1.454 (4) | C13—H13 | 0.9300 |
C8—C7 | 1.367 (4) | C4—C3 | 1.376 (5) |
C8—C9 | 1.469 (4) | C4—C5 | 1.382 (4) |
C19—C18 | 1.377 (4) | C4—H4 | 0.9300 |
C19—C20 | 1.379 (4) | C11—H11 | 0.9300 |
C19—C22 | 1.499 (4) | C18—H18 | 0.9300 |
C7—C6 | 1.467 (4) | C5—H5 | 0.9300 |
C6—C5 | 1.384 (4) | C2—C3 | 1.378 (5) |
C6—C1 | 1.387 (4) | C2—H2 | 0.9300 |
C1—C2 | 1.372 (4) | C3—H3 | 0.9300 |
C1—H1 | 0.9300 | C22—H22A | 0.9600 |
C21—C20 | 1.370 (4) | C22—H22B | 0.9600 |
C21—H21 | 0.9300 | C22—H22C | 0.9600 |
C10—C9 | 1.372 (4) | O3—N3 | 1.236 (3) |
C10—C11 | 1.377 (4) | N3—O2 | 1.212 (3) |
C10—H10 | 0.9300 | N3—O1 | 1.254 (4) |
C17—C18 | 1.380 (4) | ||
C15—N1—C7 | 110.5 (2) | C13—C12—C11 | 119.8 (3) |
C15—N1—H1A | 124.7 | C13—C12—H12 | 120.1 |
C7—N1—H1A | 124.7 | C11—C12—H12 | 120.1 |
C15—N2—C8 | 111.3 (2) | C21—C20—C19 | 121.8 (3) |
C15—N2—H2A | 124.4 | C21—C20—H20 | 119.1 |
C8—N2—H2A | 124.4 | C19—C20—H20 | 119.1 |
C21—C16—C17 | 118.5 (3) | C13—C14—C9 | 120.8 (3) |
C21—C16—C15 | 120.4 (3) | C13—C14—H14 | 119.6 |
C17—C16—C15 | 121.1 (3) | C9—C14—H14 | 119.6 |
C7—C8—N2 | 105.6 (2) | C12—C13—C14 | 120.0 (3) |
C7—C8—C9 | 134.2 (3) | C12—C13—H13 | 120.0 |
N2—C8—C9 | 120.2 (2) | C14—C13—H13 | 120.0 |
C18—C19—C20 | 117.5 (3) | C3—C4—C5 | 119.9 (3) |
C18—C19—C22 | 121.1 (3) | C3—C4—H4 | 120.1 |
C20—C19—C22 | 121.4 (3) | C5—C4—H4 | 120.1 |
C8—C7—N1 | 106.3 (2) | C12—C11—C10 | 120.4 (3) |
C8—C7—C6 | 132.6 (3) | C12—C11—H11 | 119.8 |
N1—C7—C6 | 121.2 (2) | C10—C11—H11 | 119.8 |
N2—C15—N1 | 106.3 (2) | C19—C18—C17 | 121.8 (3) |
N2—C15—C16 | 126.8 (3) | C19—C18—H18 | 119.1 |
N1—C15—C16 | 126.9 (3) | C17—C18—H18 | 119.1 |
C5—C6—C1 | 119.1 (3) | C4—C5—C6 | 120.3 (3) |
C5—C6—C7 | 120.0 (3) | C4—C5—H5 | 119.8 |
C1—C6—C7 | 120.9 (3) | C6—C5—H5 | 119.8 |
C2—C1—C6 | 120.4 (3) | C1—C2—C3 | 120.1 (3) |
C2—C1—H1 | 119.8 | C1—C2—H2 | 119.9 |
C6—C1—H1 | 119.8 | C3—C2—H2 | 119.9 |
C20—C21—C16 | 120.4 (3) | C4—C3—C2 | 120.1 (3) |
C20—C21—H21 | 119.8 | C4—C3—H3 | 120.0 |
C16—C21—H21 | 119.8 | C2—C3—H3 | 120.0 |
C9—C10—C11 | 120.3 (3) | C19—C22—H22A | 109.5 |
C9—C10—H10 | 119.8 | C19—C22—H22B | 109.5 |
C11—C10—H10 | 119.8 | H22A—C22—H22B | 109.5 |
C18—C17—C16 | 120.0 (3) | C19—C22—H22C | 109.5 |
C18—C17—H17 | 120.0 | H22A—C22—H22C | 109.5 |
C16—C17—H17 | 120.0 | H22B—C22—H22C | 109.5 |
C10—C9—C14 | 118.7 (3) | O2—N3—O3 | 120.7 (3) |
C10—C9—C8 | 121.3 (3) | O2—N3—O1 | 118.4 (3) |
C14—C9—C8 | 120.0 (3) | O3—N3—O1 | 120.9 (3) |
D—H···A | D—H | H···A | D···A | D—H···A |
N2—H2A···O1i | 0.86 | 2.05 | 2.905 (4) | 176 |
N2—H2A···O2i | 0.86 | 2.39 | 2.922 (3) | 121 |
N1—H1A···O3 | 0.86 | 1.96 | 2.720 (3) | 147 |
Symmetry code: (i) −x+1/2, −y+1, z−1/2. |
Experimental details
Crystal data | |
Chemical formula | C22H19N2+·NO3− |
Mr | 373.40 |
Crystal system, space group | Orthorhombic, P212121 |
Temperature (K) | 298 |
a, b, c (Å) | 8.442 (2), 12.970 (3), 17.098 (3) |
V (Å3) | 1872.3 (6) |
Z | 4 |
Radiation type | Mo Kα |
µ (mm−1) | 0.09 |
Crystal size (mm) | 0.40 × 0.35 × 0.25 |
Data collection | |
Diffractometer | Rigaku Mercury2 diffractometer |
Absorption correction | Multi-scan (CrystalClear; Rigaku, 2005) |
Tmin, Tmax | 0.955, 1.000 |
No. of measured, independent and observed [I > 2σ(I)] reflections | 19745, 4278, 2714 |
Rint | 0.089 |
(sin θ/λ)max (Å−1) | 0.649 |
Refinement | |
R[F2 > 2σ(F2)], wR(F2), S | 0.059, 0.143, 1.03 |
No. of reflections | 4278 |
No. of parameters | 254 |
H-atom treatment | H-atom parameters constrained |
Δρmax, Δρmin (e Å−3) | 0.26, −0.20 |
Computer programs: CrystalClear (Rigaku, 2005), SHELXS97 (Sheldrick, 2008), SHELXL97 (Sheldrick, 2008), SHELXTL/PC (Sheldrick, 2008).
D—H···A | D—H | H···A | D···A | D—H···A |
N2—H2A···O1i | 0.86 | 2.05 | 2.905 (4) | 175.6 |
N2—H2A···O2i | 0.86 | 2.39 | 2.922 (3) | 120.9 |
N1—H1A···O3 | 0.86 | 1.96 | 2.720 (3) | 147.3 |
Symmetry code: (i) −x+1/2, −y+1, z−1/2. |
Acknowledgements
This work was supported by a start-up grant from Southeast University to Professor Ren-Gen Xiong.
References
Dai, W. & Fu, D.-W. (2008). Acta Cryst. E64, o971. Web of Science CSD CrossRef IUCr Journals Google Scholar
Fu, D.-W. & Xiong, R.-G. (2008). Dalton Trans. pp. 3946–3948. Web of Science CSD CrossRef Google Scholar
Huang, X.-F., Fu, D.-W. & Xiong, R.-G. (2008). Cryst. Growth. Des. 8, 1795-1797. Web of Science CSD CrossRef CAS Google Scholar
Rigaku (2005). CrystalClear. Rigaku Corporation, Tokyo, Japan. Google Scholar
Sheldrick, G. M. (2008). Acta Cryst. A64, 112–122. Web of Science CrossRef CAS IUCr Journals Google Scholar
This is an open-access article distributed under the terms of the Creative Commons Attribution (CC-BY) Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are cited.
Imidazole derivatives have found wide range of applications in coordination chemistry because of their multiple coordination modes as ligands to metal ions and for the construction of novel metal–organic frameworks (Huang et al., 2008; Fu & Xiong, 2008; Dai & Fu, 2008). We report herein the crystal structure of the title compound, 4,5-diphenyl-2-p-tolyl-1H-imidazol-3-ium nitrate.
The title compound contains an organic cation and a nitrate ion in the asymmetric unit. The imidazole N atom in 3-position is protonated. Imidazole and benzene rings are twisted from each other by a dihedral angle of 38.1 (1)°, 43.74 (9)° and 20.4 (1)°. The crystal packing is stabilized by N—H···O hydrogen bonds to form an infinite one-dimensional chain parallel to c axis. (Table 1, Fig. 2).