organic compounds
1-(3-Chlorophenyl)-4,4,6-trimethyl-3,4-dihydropyrimidine-2(1H)-thione
aSchool of Chemical Sciences and Food Technology, Universiti Kebangsaan Malaysia, UKM 43600 Bangi Selangor, Malaysia
*Correspondence e-mail: bohari@ukm.my
In the title compound, C13H15ClN2S, the dihydropyrimidine ring is essentially planar, with a maximum deviation from the least-squares plane of 0.122 (3) Å for the unsubstitued olefinic C atom. The dihedral angle between the dihydropyrimidine and benzene rings is 86.62 (13)°. The is stabilized by intermolecular N—H⋯S hydrogen bonds, which form centrosymmetric dimers arranged along the c axis.
Related literature
For related structures, see: Yamin et al. (2005); Ismail et al. (2007); Saeed & Bolte, (2010). For the biological activity of dihydropyrimidinone/thione derivatives, see: Alam et al. (2005); Kappe (2000); Sriram et al. (2006); Leite et al. (2006). For graph-set theory, see: Etter et al. (1990); Bernstein et al. (1995).
Experimental
Crystal data
|
Refinement
|
Data collection: SMART (Bruker, 2000); cell SAINT (Bruker, 2000); data reduction: SAINT; program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: ORTEPIII (Burnett & Johnson, 1996), ORTEP-3 for Windows (Farrugia, 1997) and PLATON (Spek, 2009); software used to prepare material for publication: SHELXL97, PARST (Nardelli, 1995) and PLATON.
Supporting information
10.1107/S1600536810054292/dn2640sup1.cif
contains datablocks global, I. DOI:Structure factors: contains datablock I. DOI: 10.1107/S1600536810054292/dn2640Isup2.hkl
The title compound was prepared by the reaction of thiocynic acid (5.4 mmol) and 3-chloroanaline (5.4 mmol) in acetone. The reaction mixture was stirred for 2–3 h. Then the clear was left for slow evaporation at room temperature. Colourless crystals of 1-(3-Chlorophenyl)-4,4,6-trimethyl -3,4-dihydropyrimidine-2 (1H)-thione were obtained after three days with 80% yield. Anal.Calcd for C13 H15 Cl N2 S: C, 58.53; H, 5.67; N, 10.50; S, 12.02%; found:C, 58.49; H,5.72; N, 10.61; S, 12.14,IR(KBr), v (cm-1) 1535 (C=S),1591(C=C),3184 (N—H).
All H atoms attached to C atoms were fixed geometrically and treated as riding with C—H= 0.93 Å(aromatic) or 0.96 Å(methy) with Uiso(H)=1.2Ueq(Caromatic) and 1.5Uaq(Cmethyl). The amino hydrogen atom was located from the difference map and refined freely with Uiso(H)=1.2Ueq(N). In the last cycles of
it was treated as riding on the parent N atom. Both methyl groups attached to C3 display rather elongated ellipsoids however no correct disordered model could be defined and these large ellipsoids may be related to dynamic motion.Data collection: SMART (Bruker, 2000); cell
SAINT (Bruker, 2000); data reduction: SAINT (Bruker, 2000); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: ORTEPIII (Burnett & Johnson, 1996), ORTEP-3 for Windows (Farrugia, 1997) and PLATON (Spek, 2009); software used to prepare material for publication: SHELXL97 (Sheldrick, 2008), PARST (Nardelli, 1995) and PLATON (Spek, 2009).C13H15ClN2S | F(000) = 560 |
Mr = 266.78 | Dx = 1.270 Mg m−3 |
Monoclinic, P21/c | Melting point = 427.6–429.6 K |
Hall symbol: -P 2ybc | Mo Kα radiation, λ = 0.71073 Å |
a = 8.398 (2) Å | Cell parameters from 2921 reflections |
b = 14.930 (4) Å | θ = 2.2–25.5° |
c = 11.468 (3) Å | µ = 0.40 mm−1 |
β = 103.909 (4)° | T = 298 K |
V = 1395.7 (6) Å3 | Block, colourless |
Z = 4 | 0.40 × 0.19 × 0.17 mm |
Bruker SMART APEX CCD area-detector diffractometer | 2598 independent reflections |
Radiation source: fine-focus sealed tube | 2212 reflections with I > 2/s(I) |
Graphite monochromator | Rint = 0.021 |
Detector resolution: 83.66 pixels mm-1 | θmax = 25.5°, θmin = 2.2° |
ω scans | h = −10→10 |
Absorption correction: multi-scan (SADABS; Bruker, 2000) | k = −13→18 |
Tmin = 0.855, Tmax = 0.934 | l = −12→13 |
8215 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)] = 0.048 | Hydrogen site location: inferred from neighbouring sites |
wR(F2) = 0.133 | H-atom parameters constrained |
S = 1.10 | w = 1/[σ2(Fo2) + (0.0696P)2 + 0.4092P] where P = (Fo2 + 2Fc2)/3 |
2598 reflections | (Δ/σ)max < 0.001 |
157 parameters | Δρmax = 0.29 e Å−3 |
0 restraints | Δρmin = −0.14 e Å−3 |
C13H15ClN2S | V = 1395.7 (6) Å3 |
Mr = 266.78 | Z = 4 |
Monoclinic, P21/c | Mo Kα radiation |
a = 8.398 (2) Å | µ = 0.40 mm−1 |
b = 14.930 (4) Å | T = 298 K |
c = 11.468 (3) Å | 0.40 × 0.19 × 0.17 mm |
β = 103.909 (4)° |
Bruker SMART APEX CCD area-detector diffractometer | 2598 independent reflections |
Absorption correction: multi-scan (SADABS; Bruker, 2000) | 2212 reflections with I > 2/s(I) |
Tmin = 0.855, Tmax = 0.934 | Rint = 0.021 |
8215 measured reflections |
R[F2 > 2σ(F2)] = 0.048 | 0 restraints |
wR(F2) = 0.133 | H-atom parameters constrained |
S = 1.10 | Δρmax = 0.29 e Å−3 |
2598 reflections | Δρmin = −0.14 e Å−3 |
157 parameters |
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. |
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 | ||
Cl1 | 0.26790 (8) | 0.97009 (5) | −0.03961 (6) | 0.0647 (2) | |
S1 | 0.77220 (7) | 1.01839 (4) | 0.36163 (5) | 0.0496 (2) | |
N1 | 0.8934 (2) | 0.87127 (13) | 0.47479 (18) | 0.0508 (5) | |
H1A | 0.9700 | 0.9086 | 0.5030 | 0.061* | |
N2 | 0.6306 (2) | 0.85790 (12) | 0.35950 (17) | 0.0467 (5) | |
C1 | 0.7657 (3) | 0.90982 (15) | 0.40192 (19) | 0.0408 (5) | |
C2 | 0.6333 (3) | 0.76397 (16) | 0.3814 (3) | 0.0598 (7) | |
C3 | 0.7636 (4) | 0.72845 (18) | 0.4552 (3) | 0.0693 (8) | |
H3 | 0.7690 | 0.6664 | 0.4621 | 0.083* | |
C4 | 0.9012 (3) | 0.78148 (16) | 0.5276 (2) | 0.0602 (7) | |
C5 | 0.4926 (4) | 0.7110 (2) | 0.3124 (4) | 0.1029 (13) | |
H5A | 0.5133 | 0.6484 | 0.3283 | 0.154* | |
H5B | 0.4787 | 0.7222 | 0.2281 | 0.154* | |
H5C | 0.3947 | 0.7281 | 0.3360 | 0.154* | |
C7 | 1.0658 (5) | 0.7413 (2) | 0.5222 (5) | 0.1179 (16) | |
H7A | 1.0740 | 0.7392 | 0.4401 | 0.177* | |
H7B | 1.0745 | 0.6818 | 0.5547 | 0.177* | |
H7C | 1.1528 | 0.7777 | 0.5682 | 0.177* | |
C8 | 0.4808 (3) | 0.90016 (15) | 0.2952 (2) | 0.0450 (5) | |
C9 | 0.4507 (3) | 0.91237 (15) | 0.1734 (2) | 0.0448 (5) | |
H9 | 0.5261 | 0.8933 | 0.1311 | 0.054* | |
C10 | 0.3064 (3) | 0.95355 (15) | 0.1145 (2) | 0.0468 (5) | |
C11 | 0.1924 (3) | 0.98094 (17) | 0.1755 (3) | 0.0571 (7) | |
H11 | 0.0959 | 1.0088 | 0.1351 | 0.069* | |
C12 | 0.2238 (3) | 0.96636 (19) | 0.2971 (3) | 0.0644 (7) | |
H12 | 0.1467 | 0.9837 | 0.3389 | 0.077* | |
C13 | 0.3679 (3) | 0.92637 (18) | 0.3583 (2) | 0.0578 (6) | |
H13 | 0.3887 | 0.9173 | 0.4408 | 0.069* | |
C6 | 0.8890 (7) | 0.7904 (3) | 0.6570 (3) | 0.137 (2) | |
H6A | 0.9756 | 0.8284 | 0.7001 | 0.206* | |
H6B | 0.8989 | 0.7323 | 0.6940 | 0.206* | |
H6C | 0.7849 | 0.8161 | 0.6590 | 0.206* |
U11 | U22 | U33 | U12 | U13 | U23 | |
Cl1 | 0.0586 (4) | 0.0726 (5) | 0.0561 (4) | −0.0055 (3) | 0.0005 (3) | 0.0109 (3) |
S1 | 0.0455 (4) | 0.0420 (3) | 0.0541 (4) | −0.0027 (2) | −0.0022 (3) | 0.0110 (3) |
N1 | 0.0452 (11) | 0.0431 (11) | 0.0568 (11) | 0.0034 (8) | −0.0022 (9) | 0.0078 (9) |
N2 | 0.0430 (10) | 0.0391 (10) | 0.0546 (11) | −0.0009 (8) | 0.0050 (8) | 0.0046 (8) |
C1 | 0.0399 (11) | 0.0419 (12) | 0.0397 (11) | 0.0035 (9) | 0.0077 (9) | 0.0014 (9) |
C2 | 0.0618 (16) | 0.0402 (13) | 0.0743 (17) | −0.0030 (11) | 0.0104 (13) | 0.0033 (12) |
C3 | 0.082 (2) | 0.0373 (13) | 0.081 (2) | 0.0015 (13) | 0.0059 (16) | 0.0088 (13) |
C4 | 0.0760 (18) | 0.0425 (13) | 0.0546 (14) | 0.0126 (12) | 0.0010 (12) | 0.0076 (11) |
C5 | 0.082 (2) | 0.0519 (17) | 0.158 (4) | −0.0206 (16) | −0.004 (2) | 0.008 (2) |
C7 | 0.080 (2) | 0.064 (2) | 0.185 (5) | 0.0305 (18) | −0.015 (2) | −0.003 (3) |
C8 | 0.0378 (11) | 0.0412 (12) | 0.0534 (13) | −0.0050 (9) | 0.0056 (9) | −0.0017 (10) |
C9 | 0.0393 (11) | 0.0438 (12) | 0.0520 (13) | −0.0049 (9) | 0.0123 (10) | −0.0022 (10) |
C10 | 0.0412 (12) | 0.0414 (11) | 0.0533 (13) | −0.0084 (10) | 0.0025 (10) | 0.0012 (10) |
C11 | 0.0412 (13) | 0.0535 (15) | 0.0714 (17) | 0.0033 (11) | 0.0035 (12) | −0.0057 (12) |
C12 | 0.0506 (15) | 0.0716 (19) | 0.0732 (19) | 0.0066 (12) | 0.0195 (14) | −0.0122 (14) |
C13 | 0.0538 (15) | 0.0655 (17) | 0.0546 (14) | 0.0006 (12) | 0.0142 (12) | −0.0055 (12) |
C6 | 0.270 (6) | 0.082 (3) | 0.058 (2) | −0.033 (3) | 0.035 (3) | 0.0098 (19) |
Cl1—C10 | 1.736 (3) | C7—H7A | 0.9600 |
S1—C1 | 1.690 (2) | C7—H7B | 0.9600 |
N1—C1 | 1.323 (3) | C7—H7C | 0.9600 |
N1—C4 | 1.466 (3) | C8—C9 | 1.372 (3) |
N1—H1A | 0.8541 | C8—C13 | 1.380 (3) |
N2—C1 | 1.364 (3) | C9—C10 | 1.382 (3) |
N2—C2 | 1.424 (3) | C9—H9 | 0.9300 |
N2—C8 | 1.441 (3) | C10—C11 | 1.376 (4) |
C2—C3 | 1.323 (4) | C11—C12 | 1.372 (4) |
C2—C5 | 1.483 (4) | C11—H11 | 0.9300 |
C3—C4 | 1.480 (4) | C12—C13 | 1.381 (4) |
C3—H3 | 0.9300 | C12—H12 | 0.9300 |
C4—C6 | 1.518 (5) | C13—H13 | 0.9300 |
C4—C7 | 1.522 (4) | C6—H6A | 0.9600 |
C5—H5A | 0.9600 | C6—H6B | 0.9600 |
C5—H5B | 0.9600 | C6—H6C | 0.9600 |
C5—H5C | 0.9600 | ||
C1—N1—C4 | 127.4 (2) | H7A—C7—H7B | 109.5 |
C1—N1—H1A | 112.2 | C4—C7—H7C | 109.5 |
C4—N1—H1A | 119.1 | H7A—C7—H7C | 109.5 |
C1—N2—C2 | 121.35 (19) | H7B—C7—H7C | 109.5 |
C1—N2—C8 | 118.85 (18) | C9—C8—C13 | 121.0 (2) |
C2—N2—C8 | 119.75 (18) | C9—C8—N2 | 120.2 (2) |
N1—C1—N2 | 117.2 (2) | C13—C8—N2 | 118.8 (2) |
N1—C1—S1 | 121.01 (17) | C8—C9—C10 | 118.8 (2) |
N2—C1—S1 | 121.78 (15) | C8—C9—H9 | 120.6 |
C3—C2—N2 | 118.9 (2) | C10—C9—H9 | 120.6 |
C3—C2—C5 | 123.9 (2) | C11—C10—C9 | 121.3 (2) |
N2—C2—C5 | 117.0 (2) | C11—C10—Cl1 | 119.56 (19) |
C2—C3—C4 | 124.0 (2) | C9—C10—Cl1 | 119.16 (19) |
C2—C3—H3 | 118.0 | C12—C11—C10 | 118.8 (2) |
C4—C3—H3 | 118.0 | C12—C11—H11 | 120.6 |
N1—C4—C3 | 107.8 (2) | C10—C11—H11 | 120.6 |
N1—C4—C6 | 108.5 (2) | C11—C12—C13 | 121.0 (2) |
C3—C4—C6 | 111.6 (3) | C11—C12—H12 | 119.5 |
N1—C4—C7 | 107.1 (3) | C13—C12—H12 | 119.5 |
C3—C4—C7 | 111.2 (3) | C8—C13—C12 | 119.0 (2) |
C6—C4—C7 | 110.5 (3) | C8—C13—H13 | 120.5 |
C2—C5—H5A | 109.5 | C12—C13—H13 | 120.5 |
C2—C5—H5B | 109.5 | C4—C6—H6A | 109.5 |
H5A—C5—H5B | 109.5 | C4—C6—H6B | 109.5 |
C2—C5—H5C | 109.5 | H6A—C6—H6B | 109.5 |
H5A—C5—H5C | 109.5 | C4—C6—H6C | 109.5 |
H5B—C5—H5C | 109.5 | H6A—C6—H6C | 109.5 |
C4—C7—H7A | 109.5 | H6B—C6—H6C | 109.5 |
C4—C7—H7B | 109.5 | ||
C4—N1—C1—N2 | −8.0 (4) | C2—C3—C4—C6 | 100.9 (4) |
C4—N1—C1—S1 | 173.1 (2) | C2—C3—C4—C7 | −135.3 (3) |
C2—N2—C1—N1 | −7.0 (3) | C1—N2—C8—C9 | 88.4 (3) |
C8—N2—C1—N1 | 170.6 (2) | C2—N2—C8—C9 | −94.0 (3) |
C2—N2—C1—S1 | 171.87 (19) | C1—N2—C8—C13 | −92.8 (3) |
C8—N2—C1—S1 | −10.5 (3) | C2—N2—C8—C13 | 84.9 (3) |
C1—N2—C2—C3 | 7.4 (4) | C13—C8—C9—C10 | 1.5 (3) |
C8—N2—C2—C3 | −170.1 (3) | N2—C8—C9—C10 | −179.65 (19) |
C1—N2—C2—C5 | −168.4 (3) | C8—C9—C10—C11 | −1.0 (3) |
C8—N2—C2—C5 | 14.1 (4) | C8—C9—C10—Cl1 | 179.51 (17) |
N2—C2—C3—C4 | 6.8 (4) | C9—C10—C11—C12 | −0.3 (4) |
C5—C2—C3—C4 | −177.7 (3) | Cl1—C10—C11—C12 | 179.2 (2) |
C1—N1—C4—C3 | 19.4 (4) | C10—C11—C12—C13 | 1.1 (4) |
C1—N1—C4—C6 | −101.6 (3) | C9—C8—C13—C12 | −0.7 (4) |
C1—N1—C4—C7 | 139.1 (3) | N2—C8—C13—C12 | −179.6 (2) |
C2—C3—C4—N1 | −18.2 (4) | C11—C12—C13—C8 | −0.6 (4) |
D—H···A | D—H | H···A | D···A | D—H···A |
N1—H1A···S1i | 0.85 | 2.58 | 3.404 (2) | 162 |
Symmetry code: (i) −x+2, −y+2, −z+1. |
Experimental details
Crystal data | |
Chemical formula | C13H15ClN2S |
Mr | 266.78 |
Crystal system, space group | Monoclinic, P21/c |
Temperature (K) | 298 |
a, b, c (Å) | 8.398 (2), 14.930 (4), 11.468 (3) |
β (°) | 103.909 (4) |
V (Å3) | 1395.7 (6) |
Z | 4 |
Radiation type | Mo Kα |
µ (mm−1) | 0.40 |
Crystal size (mm) | 0.40 × 0.19 × 0.17 |
Data collection | |
Diffractometer | Bruker SMART APEX CCD area-detector diffractometer |
Absorption correction | Multi-scan (SADABS; Bruker, 2000) |
Tmin, Tmax | 0.855, 0.934 |
No. of measured, independent and observed [I > 2/s(I)] reflections | 8215, 2598, 2212 |
Rint | 0.021 |
(sin θ/λ)max (Å−1) | 0.606 |
Refinement | |
R[F2 > 2σ(F2)], wR(F2), S | 0.048, 0.133, 1.10 |
No. of reflections | 2598 |
No. of parameters | 157 |
H-atom treatment | H-atom parameters constrained |
Δρmax, Δρmin (e Å−3) | 0.29, −0.14 |
Computer programs: SMART (Bruker, 2000), SAINT (Bruker, 2000), SHELXS97 (Sheldrick, 2008), ORTEPIII (Burnett & Johnson, 1996), ORTEP-3 for Windows (Farrugia, 1997) and PLATON (Spek, 2009), SHELXL97 (Sheldrick, 2008), PARST (Nardelli, 1995) and PLATON (Spek, 2009).
D—H···A | D—H | H···A | D···A | D—H···A |
N1—H1A···S1i | 0.85 | 2.58 | 3.404 (2) | 162 |
Symmetry code: (i) −x+2, −y+2, −z+1. |
Acknowledgements
The authors thank the Ministry of Higher Education of Malaysia and Universiti Kebagsaan Malaysia for the research grant UKM-ST-06-FRGS0114–2009. A scholarship from the Libyan Goverment to SFH is greatly appreciated.
References
Alam, O., Imran, M. & Khan, S. A. (2005). Indian J. Heterocycl. Chem. 14, 293–296. CAS Google Scholar
Bernstein, J., Davis, R. E., Shimoni, L. & Chang, N.-L. (1995). Angew. Chem. Int. Ed. Engl. 34, 1555–1573. CrossRef CAS Web of Science Google Scholar
Bruker (2000). SADABS, SMART and SAINT. Bruker AXS Inc., Madison, Wisconsin, USA. Google Scholar
Burnett, M. N. & Johnson, C. K. (1996). ORTEPIII. Report ORNL-6895. Oak Ridge National Laboratory, Tennessee, USA. Google Scholar
Etter, M. C., MacDonald, J. C. & Bernstein, J. (1990). Acta Cryst. B46, 256–262. CrossRef CAS Web of Science IUCr Journals Google Scholar
Farrugia, L. J. (1997). J. Appl. Cryst. 30, 565. CrossRef IUCr Journals Google Scholar
Ismail, N. L., Othman, E. & Yamin, B. M. (2007). Acta Cryst. E63, o2442–o2443. Web of Science CSD CrossRef IUCr Journals Google Scholar
Kappe, C. O. (2000). Acc. Chem. Res. 33, 879–888. Web of Science CrossRef PubMed CAS Google Scholar
Leite, A. C. L., Lima, R. S., Moreira, D. R. M., Cardoso, M. V. O., Brito, A. C. G., Santos, L. M. F., Hernandes, M. Z., Kiperstok, A. C., Lima, R. S. & Soares, M. B. P. (2006). Bioorg. Med. Chem. 14, 3749–3757. Web of Science CrossRef PubMed CAS Google Scholar
Nardelli, M. (1995). J. Appl. Cryst. 28, 659. CrossRef IUCr Journals Google Scholar
Saeed, A. & Bolte, M. (2010). Acta Cryst. E66, o440. Web of Science CSD CrossRef IUCr Journals Google Scholar
Sheldrick, G. M. (2008). Acta Cryst. A64, 112–122. Web of Science CrossRef CAS IUCr Journals Google Scholar
Spek, A. L. (2009). Acta Cryst. D65, 148–155. Web of Science CrossRef CAS IUCr Journals Google Scholar
Sriram, D., Yogeeswari, P. & Devakaram, R. V. (2006). Bioorg. Med. Chem. 14, 3113–3118. Web of Science CrossRef PubMed CAS Google Scholar
Yamin, B. M., Kasim, N. A. M. & Hamzah, N. (2005). Acta Cryst. E61, o55–o57. Web of Science CSD CrossRef 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.
The dihydropyrimidinone/thione derivatives are medicinally important due to their therapeutic and pharmacological properties (Kappe, 2000; Alam et al.,2005; Sriram et al., 2006; Leite et al., 2006)).
The title compound (I) is a meta isomer of the previously reported 1-(4-Chlorophenyl)-4,4,6-trimethyl-3,4-dihydropyrimidine-2(1 H) -thione (Saeed & Bolte,2010). The dihydropyrimidine N1/C1/N2/C2/C3/C4 ring is essentially planar with maximum deviation of 0.122 (3) Å for the unsubstituted olefinic carbon C3 atom compare to that in the para isomer where the C4 atom bearing the two methyl substituents deviated by 0.44 (2)%A from the other five almost coplanar atoms (Saeed & Bolte,2010). The dihedral angle between the dihydropyrimidine and benzene ring is 86.62 (13)° (Fig. 1), smaller than that in the para isomer of 89.59 (5) Å. The bond lengths and bond angles agree with closely related structures (Ismail et al., 2007; Yamin et al., 2005).
The molecular packing is also characterized by centrosymmetric dimers connected by the N—H..S intermolecular hydrogen bond forming a R22(8) ring (Etter et al., 1990, Bernstein et al., 1995) and are arranged parallel to the c axis (Table 1, Fig 2).