Supporting information
Crystallographic Information File (CIF) https://doi.org/10.1107/S0108270106014582/av3015sup1.cif | |
Structure factor file (CIF format) https://doi.org/10.1107/S0108270106014582/av3015Isup2.hkl |
CCDC reference: 612442
ZnO (0.81 g, 1 mmol) and Ca(OH)2 (0.0714 g, 1 mmol) were added slowly to an aqueous solution (20 ml) of malonic acid (0.312 g, 3 mmol), and the reaction mixture was stirred continuously at 328 K. After 2 h, the reaction mixture was cooled to room temperature and filtered. Colorless single crystals were obtained from the filtrate after several months.
All the water H atoms were located in a difference Fourier map and their positional parameters were refined with O—H distances restrained to 0.833</span>(13)–0.865<span style=" font-weight:600;">(12) Å [please give initial restraint rather than the final values]; the Uiso(H) values were set at 1.5Ueq(O)???. The remaining H atoms were positioned geometrically and allowed to ride on their parent atoms, with C—H bond lengths of 0.97 Å [Uiso(H) = 1.5Ueq(C)].
Data collection: SMART (Bruker, 2000); cell refinement: SMART; data reduction: SAINT (Bruker, 2000); program(s) used to solve structure: SHELXS97 (Sheldrick, 1997) or SHELXTL (Bruker, 1997)??; program(s) used to refine structure: SHELXL97 (Sheldrick, 1997); molecular graphics: SHELXTL (Bruker, 1997); software used to prepare material for publication: SHELXTL.
[CaZn(C3H2O4)2(H2O)4] | F(000) = 776 |
Mr = 381.61 | Dx = 2.103 Mg m−3 |
Monoclinic, C2/c | Mo Kα radiation, λ = 0.71073 Å |
Hall symbol: -C2yc | Cell parameters from 2498 reflections |
a = 13.9736 (17) Å | θ = 2.9–28.3° |
b = 7.5445 (9) Å | µ = 2.53 mm−1 |
c = 13.1729 (15) Å | T = 292 K |
β = 119.788 (2)° | Prism, colorless |
V = 1205.2 (2) Å3 | 0.30 × 0.30 × 0.20 mm |
Z = 4 |
Bruker SMART CCD area-detector diffractometer | 1368 independent reflections |
Radiation source: fine-focus sealed tube | 1302 reflections with I > 2σ(I) |
Graphite monochromator | Rint = 0.017 |
ϕ and ω scans | θmax = 27.5°, θmin = 3.2° |
Absorption correction: multi-scan (SADABS; Bruker, 2000) | h = −17→17 |
Tmin = 0.518, Tmax = 0.632 | k = −5→9 |
3428 measured reflections | l = −16→16 |
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)] = 0.022 | Hydrogen site location: inferred from neighbouring sites |
wR(F2) = 0.060 | H atoms treated by a mixture of independent and constrained refinement |
S = 1.06 | w = 1/[σ2(Fo2) + (0.0338P)2 + 0.8399P] where P = (Fo2 + 2Fc2)/3 |
1368 reflections | (Δ/σ)max < 0.001 |
105 parameters | Δρmax = 0.33 e Å−3 |
11 restraints | Δρmin = −0.40 e Å−3 |
[CaZn(C3H2O4)2(H2O)4] | V = 1205.2 (2) Å3 |
Mr = 381.61 | Z = 4 |
Monoclinic, C2/c | Mo Kα radiation |
a = 13.9736 (17) Å | µ = 2.53 mm−1 |
b = 7.5445 (9) Å | T = 292 K |
c = 13.1729 (15) Å | 0.30 × 0.30 × 0.20 mm |
β = 119.788 (2)° |
Bruker SMART CCD area-detector diffractometer | 1368 independent reflections |
Absorption correction: multi-scan (SADABS; Bruker, 2000) | 1302 reflections with I > 2σ(I) |
Tmin = 0.518, Tmax = 0.632 | Rint = 0.017 |
3428 measured reflections |
R[F2 > 2σ(F2)] = 0.022 | 11 restraints |
wR(F2) = 0.060 | H atoms treated by a mixture of independent and constrained refinement |
S = 1.06 | Δρmax = 0.33 e Å−3 |
1368 reflections | Δρmin = −0.40 e Å−3 |
105 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 | ||
C1 | 0.12671 (13) | 0.6719 (2) | 0.24436 (14) | 0.0183 (3) | |
C2 | 0.15715 (13) | 0.0046 (2) | 0.29495 (14) | 0.0186 (3) | |
C3 | 0.16243 (15) | −0.1483 (2) | 0.22378 (14) | 0.0223 (3) | |
H3A | 0.2378 | −0.1584 | 0.2394 | 0.033* | |
H3B | 0.1168 | −0.1191 | 0.1416 | 0.033* | |
O1 | 0.19797 (11) | 0.98730 (16) | 0.40460 (10) | 0.0270 (3) | |
O2 | 0.39111 (13) | 0.7362 (2) | 0.47783 (13) | 0.0358 (4) | |
H2A | 0.4468 (17) | 0.795 (3) | 0.5226 (19) | 0.054* | |
H2B | 0.393 (2) | 0.712 (4) | 0.4163 (16) | 0.054* | |
O3 | 0.15766 (11) | 0.61574 (16) | 0.34670 (10) | 0.0259 (3) | |
O4 | 0.06660 (11) | 0.57927 (17) | 0.15758 (11) | 0.0297 (3) | |
O5 | 0.11516 (11) | 0.14530 (16) | 0.24176 (11) | 0.0265 (3) | |
O6 | −0.10368 (12) | 0.28096 (19) | 0.04880 (12) | 0.0284 (3) | |
H6A | −0.1431 (17) | 0.187 (2) | 0.0385 (16) | 0.043* | |
H6B | −0.1527 (16) | 0.352 (2) | −0.0005 (18) | 0.043* | |
Ca1 | 0.0000 | 0.37120 (6) | 0.2500 | 0.01798 (12) | |
Zn1 | 0.2500 | 0.7500 | 0.5000 | 0.02086 (11) |
U11 | U22 | U33 | U12 | U13 | U23 | |
C1 | 0.0200 (7) | 0.0160 (7) | 0.0200 (8) | 0.0019 (6) | 0.0108 (6) | 0.0007 (6) |
C2 | 0.0197 (7) | 0.0171 (7) | 0.0198 (8) | −0.0006 (6) | 0.0105 (6) | 0.0012 (6) |
C3 | 0.0335 (9) | 0.0168 (8) | 0.0197 (8) | −0.0014 (7) | 0.0156 (7) | 0.0002 (6) |
O1 | 0.0422 (7) | 0.0186 (6) | 0.0166 (6) | 0.0044 (5) | 0.0120 (5) | 0.0017 (5) |
O2 | 0.0291 (7) | 0.0546 (10) | 0.0253 (8) | −0.0071 (6) | 0.0146 (6) | −0.0102 (6) |
O3 | 0.0374 (7) | 0.0199 (6) | 0.0180 (6) | −0.0055 (5) | 0.0120 (5) | 0.0004 (5) |
O4 | 0.0369 (7) | 0.0254 (6) | 0.0189 (6) | −0.0090 (6) | 0.0079 (6) | −0.0021 (5) |
O5 | 0.0372 (7) | 0.0207 (6) | 0.0244 (6) | 0.0096 (5) | 0.0173 (6) | 0.0069 (5) |
O6 | 0.0350 (7) | 0.0260 (6) | 0.0205 (7) | −0.0033 (6) | 0.0108 (6) | 0.0001 (5) |
Ca1 | 0.0224 (2) | 0.0151 (2) | 0.0169 (2) | 0.000 | 0.01013 (19) | 0.000 |
Zn1 | 0.02814 (17) | 0.01706 (16) | 0.01446 (16) | 0.00036 (10) | 0.00837 (13) | 0.00127 (9) |
C1—O4 | 1.243 (2) | O2—H2B | 0.844 (13) |
C1—O3 | 1.267 (2) | O3—Zn1 | 2.0445 (12) |
C1—C3i | 1.516 (2) | O3—Ca1 | 2.6630 (13) |
C2—O5 | 1.246 (2) | O4—Ca1 | 2.4368 (13) |
C2—O1ii | 1.269 (2) | O5—Ca1 | 2.3831 (13) |
C2—C3 | 1.511 (2) | O6—Ca1 | 2.4024 (14) |
C3—H3A | 0.9700 | O6—H6A | 0.868 (12) |
C3—H3B | 0.9700 | O6—H6B | 0.856 (13) |
O1—Zn1 | 2.0989 (12) | Ca1—C1iii | 2.9012 (17) |
O2—Zn1 | 2.1346 (16) | Zn1—O3iv | 2.0445 (12) |
O2—H2A | 0.834 (13) | ||
O4—C1—O3 | 120.54 (15) | O4iii—Ca1—O4 | 99.79 (7) |
O4—C1—C3i | 118.07 (14) | O5iii—Ca1—O3 | 152.94 (4) |
O3—C1—C3i | 121.39 (14) | O5—Ca1—O3 | 95.76 (5) |
O5—C2—O1ii | 123.19 (15) | O6iii—Ca1—O3 | 76.49 (5) |
O5—C2—C3 | 117.12 (14) | O6—Ca1—O3 | 128.77 (4) |
O1ii—C2—C3 | 119.65 (14) | O4iii—Ca1—O3 | 75.24 (5) |
C2—C3—C1ii | 116.77 (14) | O4—Ca1—O3 | 50.37 (4) |
C2—C3—H3A | 108.1 | O5iii—Ca1—O3iii | 95.76 (5) |
C1ii—C3—H3A | 108.1 | O5—Ca1—O3iii | 152.94 (4) |
C2—C3—H3B | 108.1 | O6iii—Ca1—O3iii | 128.77 (4) |
C1ii—C3—H3B | 108.1 | O6—Ca1—O3iii | 76.49 (5) |
H3A—C3—H3B | 107.3 | O4iii—Ca1—O3iii | 50.37 (4) |
C2i—O1—Zn1 | 126.55 (11) | O4—Ca1—O3iii | 75.24 (5) |
Zn1—O2—H2A | 118.5 (18) | O3—Ca1—O3iii | 92.29 (6) |
Zn1—O2—H2B | 127.8 (19) | O5iii—Ca1—C1iii | 97.10 (5) |
H2A—O2—H2B | 109 (2) | O5—Ca1—C1iii | 174.17 (5) |
C1—O3—Zn1 | 126.86 (11) | O6iii—Ca1—C1iii | 103.56 (5) |
C1—O3—Ca1 | 87.63 (10) | O6—Ca1—C1iii | 102.04 (5) |
Zn1—O3—Ca1 | 141.43 (6) | O4iii—Ca1—C1iii | 25.06 (4) |
C1—O4—Ca1 | 98.85 (10) | O4—Ca1—C1iii | 84.17 (5) |
C2—O5—Ca1 | 136.34 (11) | O3—Ca1—C1iii | 79.42 (5) |
Ca1—O6—H6A | 113.1 (12) | O3iii—Ca1—C1iii | 25.86 (4) |
Ca1—O6—H6B | 118.5 (16) | O3iv—Zn1—O3 | 180.0 |
H6A—O6—H6B | 100.7 (18) | O3iv—Zn1—O1iv | 88.30 (5) |
O5iii—Ca1—O5 | 88.69 (7) | O3—Zn1—O1iv | 91.70 (5) |
O5iii—Ca1—O6iii | 78.34 (5) | O3iv—Zn1—O1 | 91.70 (5) |
O5—Ca1—O6iii | 78.28 (5) | O3—Zn1—O1 | 88.30 (5) |
O5iii—Ca1—O6 | 78.28 (5) | O1iv—Zn1—O1 | 180.00 (7) |
O5—Ca1—O6 | 78.34 (5) | O3iv—Zn1—O2iv | 90.76 (6) |
O6iii—Ca1—O6 | 147.07 (7) | O3—Zn1—O2iv | 89.24 (6) |
O5iii—Ca1—O4iii | 90.22 (5) | O1iv—Zn1—O2iv | 91.63 (6) |
O5—Ca1—O4iii | 156.57 (4) | O1—Zn1—O2iv | 88.37 (6) |
O6iii—Ca1—O4iii | 78.58 (5) | O3iv—Zn1—O2 | 89.24 (6) |
O6—Ca1—O4iii | 124.27 (5) | O3—Zn1—O2 | 90.76 (6) |
O5iii—Ca1—O4 | 156.57 (4) | O1iv—Zn1—O2 | 88.37 (6) |
O5—Ca1—O4 | 90.22 (5) | O1—Zn1—O2 | 91.63 (6) |
O6iii—Ca1—O4 | 124.27 (5) | O2iv—Zn1—O2 | 180.0 |
O6—Ca1—O4 | 78.58 (5) | ||
O5—C2—C3—C1ii | −134.05 (16) | C1—O3—Ca1—O5 | 94.38 (10) |
O1ii—C2—C3—C1ii | 48.3 (2) | Zn1—O3—Ca1—O5 | −109.96 (10) |
O4—C1—O3—Zn1 | −176.98 (12) | C1—O3—Ca1—O6iii | 170.84 (10) |
C3i—C1—O3—Zn1 | 3.7 (2) | Zn1—O3—Ca1—O6iii | −33.50 (10) |
O4—C1—O3—Ca1 | −15.71 (16) | C1—O3—Ca1—O6 | 14.73 (12) |
C3i—C1—O3—Ca1 | 164.99 (15) | Zn1—O3—Ca1—O6 | 170.39 (9) |
O3—C1—O4—Ca1 | 17.41 (17) | C1—O3—Ca1—O4iii | −107.63 (10) |
C3i—C1—O4—Ca1 | −163.26 (13) | Zn1—O3—Ca1—O4iii | 48.03 (10) |
O1ii—C2—O5—Ca1 | −40.0 (3) | C1—O3—Ca1—O4 | 8.89 (9) |
C3—C2—O5—Ca1 | 142.36 (13) | Zn1—O3—Ca1—O4 | 164.55 (13) |
C2—O5—Ca1—O5iii | −46.16 (15) | C1—O3—Ca1—O3iii | −59.75 (9) |
C2—O5—Ca1—O6iii | 32.20 (16) | Zn1—O3—Ca1—O3iii | 95.91 (10) |
C2—O5—Ca1—O6 | −124.46 (17) | C1—O3—Ca1—C1iii | −82.29 (11) |
C2—O5—Ca1—O4iii | 41.4 (2) | Zn1—O3—Ca1—C1iii | 73.37 (10) |
C2—O5—Ca1—O4 | 157.25 (16) | C1—O3—Zn1—O1iv | −157.36 (14) |
C2—O5—Ca1—O3 | 107.09 (16) | Ca1—O3—Zn1—O1iv | 53.62 (10) |
C2—O5—Ca1—O3iii | −146.29 (15) | C1—O3—Zn1—O1 | 22.64 (14) |
C1—O4—Ca1—O5iii | 166.32 (12) | Ca1—O3—Zn1—O1 | −126.38 (10) |
C1—O4—Ca1—O5 | −106.46 (11) | C1—O3—Zn1—O2iv | 111.03 (15) |
C1—O4—Ca1—O6iii | −30.54 (12) | Ca1—O3—Zn1—O2iv | −37.99 (10) |
C1—O4—Ca1—O6 | 175.48 (11) | C1—O3—Zn1—O2 | −68.97 (15) |
C1—O4—Ca1—O4iii | 52.25 (9) | Ca1—O3—Zn1—O2 | 142.01 (10) |
C1—O4—Ca1—O3 | −9.16 (9) | C2i—O1—Zn1—O3iv | 161.58 (14) |
C1—O4—Ca1—O3iii | 96.62 (11) | C2i—O1—Zn1—O3 | −18.42 (14) |
C1—O4—Ca1—C1iii | 71.92 (12) | C2i—O1—Zn1—O2iv | −107.70 (14) |
C1—O3—Ca1—O5iii | −167.16 (11) | C2i—O1—Zn1—O2 | 72.30 (14) |
Zn1—O3—Ca1—O5iii | −11.51 (17) |
Symmetry codes: (i) x, y+1, z; (ii) x, y−1, z; (iii) −x, y, −z+1/2; (iv) −x+1/2, −y+3/2, −z+1. |
D—H···A | D—H | H···A | D···A | D—H···A |
O6—H6A···O1v | 0.87 (1) | 2.00 (2) | 2.7973 (19) | 153 (2) |
O6—H6B···O1vi | 0.86 (1) | 2.19 (2) | 3.019 (2) | 163 (2) |
O2—H2B···O5vii | 0.84 (1) | 2.09 (1) | 2.931 (2) | 175 (3) |
O2—H2A···O4viii | 0.83 (1) | 1.98 (1) | 2.791 (2) | 166 (3) |
Symmetry codes: (v) −x, y−1, −z+1/2; (vi) x−1/2, −y+3/2, z−1/2; (vii) −x+1/2, y+1/2, −z+1/2; (viii) x+1/2, −y+3/2, z+1/2. |
Experimental details
Crystal data | |
Chemical formula | [CaZn(C3H2O4)2(H2O)4] |
Mr | 381.61 |
Crystal system, space group | Monoclinic, C2/c |
Temperature (K) | 292 |
a, b, c (Å) | 13.9736 (17), 7.5445 (9), 13.1729 (15) |
β (°) | 119.788 (2) |
V (Å3) | 1205.2 (2) |
Z | 4 |
Radiation type | Mo Kα |
µ (mm−1) | 2.53 |
Crystal size (mm) | 0.30 × 0.30 × 0.20 |
Data collection | |
Diffractometer | Bruker SMART CCD area-detector diffractometer |
Absorption correction | Multi-scan (SADABS; Bruker, 2000) |
Tmin, Tmax | 0.518, 0.632 |
No. of measured, independent and observed [I > 2σ(I)] reflections | 3428, 1368, 1302 |
Rint | 0.017 |
(sin θ/λ)max (Å−1) | 0.650 |
Refinement | |
R[F2 > 2σ(F2)], wR(F2), S | 0.022, 0.060, 1.06 |
No. of reflections | 1368 |
No. of parameters | 105 |
No. of restraints | 11 |
H-atom treatment | H atoms treated by a mixture of independent and constrained refinement |
Δρmax, Δρmin (e Å−3) | 0.33, −0.40 |
Computer programs: SMART (Bruker, 2000), SMART, SAINT (Bruker, 2000), SHELXS97 (Sheldrick, 1997) or SHELXTL (Bruker, 1997)??, SHELXL97 (Sheldrick, 1997), SHELXTL (Bruker, 1997), SHELXTL.
C1—O4 | 1.243 (2) | O3—Zn1 | 2.0445 (12) |
C1—O3 | 1.267 (2) | O3—Ca1 | 2.6630 (13) |
C2—O5 | 1.246 (2) | O4—Ca1 | 2.4368 (13) |
C2—O1i | 1.269 (2) | O5—Ca1 | 2.3831 (13) |
O1—Zn1 | 2.0989 (12) | O6—Ca1 | 2.4024 (14) |
O2—Zn1 | 2.1346 (16) | ||
O5—C2—O1i | 123.19 (15) | O4—Ca1—O3 | 50.37 (4) |
O5—Ca1—O6 | 78.34 (5) | O3—Zn1—O1 | 88.30 (5) |
O6ii—Ca1—O6 | 147.07 (7) | O2iii—Zn1—O2 | 180.0 |
Symmetry codes: (i) x, y−1, z; (ii) −x, y, −z+1/2; (iii) −x+1/2, −y+3/2, −z+1. |
D—H···A | D—H | H···A | D···A | D—H···A |
O6—H6A···O1iv | 0.868 (12) | 2.00 (2) | 2.7973 (19) | 153 (2) |
O6—H6B···O1v | 0.856 (13) | 2.19 (2) | 3.019 (2) | 163 (2) |
O2—H2B···O5vi | 0.844 (13) | 2.09 (1) | 2.931 (2) | 175 (3) |
O2—H2A···O4vii | 0.834 (13) | 1.98 (1) | 2.791 (2) | 166 (3) |
Symmetry codes: (iv) −x, y−1, −z+1/2; (v) x−1/2, −y+3/2, z−1/2; (vi) −x+1/2, y+1/2, −z+1/2; (vii) x+1/2, −y+3/2, z+1/2. |
Subscribe to Acta Crystallographica Section C: Structural Chemistry
The full text of this article is available to subscribers to the journal.
- Information on subscribing
- Sample issue
- Purchase subscription
- Reduced-price subscriptions
- If you have already subscribed, you may need to register
There has been considerable interest in the design and synthesis of transition metal complexes with carboxylate ligands in coordination chemistry, owing to the fact that such complexes have potential application in molecular-based magnets, catalysis, supramolecular chemistry and biological systems (Li et al., 2002; Shi et al., 2000; Devereux et al., 2000). Because of the significant flexibility of dicarboxylate ligands, the malonate dianion may act as monodentate, chelated bidentate and tridentate bridging ligands to form various one-, two- and three-dimensional structures (Ray & Hathaway, 1982; Saadeh et al., 1993; Xue et al., 2003; Delgado et al., 2004). ZnII complexes with the malonate (mal) ligand have potential applications in modified metalloenzymes and in precursor systems for Zn-containing ceramic materials, and several structures of ZnII complexes with malonate ligands have been reported (Zhang et al., 2003; Lin et al., 2003; Burrows et al., 2000; Delgado et al., 2003; Fu et al., 2006). However, to the best of our knowledge, there are a few structural data on hetero-bimetallic ZnII malonate complexes, especially those involving alkaline-earth metals (Guo & Guo, 2006). We report here the synthesis and crystal structure of the title complex, [CaZn(mal)2(H2O)4)], (I), one such hetero-bimetallic malonate–ZnII complex.
The molecular structure of (I), shown in Fig 1, can be described as a two-dimensional network of metal ions, which are linked by the malonate ligand (Fig. 2). Two of the coordination water molecules are linked to the CaII ions and the other two to the transition metal ions. The ZnII ion lies on an inversion centre and is octahedrally coordinated by six O atoms from two malonate groups (atoms O1 and O3) and two water molecules (atoms O2). The Zn—O bonds lengths are slightly different (Table 1), and the Zn—Omal bonds are somewhat longer than those in [BaZn(mal)2(H2O)4)] (Guo & Guo, 2006). The CaII ion, which lies on a twofold axis, is six-coordinated by two O atoms (O6) from two water molecules and six O atoms (O3, O4 and O5) from four malonate ligands, forming an irregular polyhedron. The Ca—O bonds lengths are significantly different (Table 1), and the Ca—Omal bond lengths are comparable to the corresponding ones found in the [CaMn(mal)2(H2O)4)] and [CaNi(mal)2(H2O)4)]·2H2O complexes (Gil de Muro et al., 2000). Each malonate ligand adopts three coordination modes to connect with metal cations. As shown in Fig. 1, one carboxyl group adopts a bidentate 1,2-chelating and a monodentate bridging mode (through O3 and O4) and the other carboxyl group adopts a monodentate bridging mode (through O1 and O5). Furthermore, the two carboxyl groups adpot the bidentate 1,3-chelating mode (through O1 and O3). The resulting chelate ring exhibits an envelope conformation in which only the methylene group is significantly shifted from the ring plane [by 0.369 (2) Å]. The O—C—O angle for the monodentate carboxylate group is 123.19 (15)°, slightly larger than 120.54 (15)° for the chelating one. Atoms O3 link the Zn and Ca ions [Zn1—O3—Ca1 = 141.43 (6)°], forming perpendicular planes to the [101] direction, with the shortest Zn···Zn distance 6.8172 (8) Å and the shortest Ca···Ca 7.0582 (9) Å. The coordinated water molecules are linked to carboxylate atoms O1, O4 and O5 through hydrogen bonds, and the whole three-dimensional package in this structure is maintained and stabilized by the presence of hydrogen bonds (Fig. 3). The characteristics of the hydrogen-bond network are given in Table 2.