Abstract:
A pentadienyllutetium complex is prepared by reacting a source of 2,4-dimethylpentadienyl anions with a source of trivalent lutetium cations.

Description:
This application is a continuation-in-part of Ser. No. 380,143, filed July 14, 1989, abandoned, which is incorporated herein by reference. 
    
    
     FIELD OF THE INVENTION 
     This invention relates to coordination complexes of lanthanide metals. In one of its more particular aspects, it relates to a pentadienyllutetium complex. 
     BACKGROUND OF THE INVENTION 
     Hydrocarbyl complexes of the lanthanide metals complexes, such as LiLn(allyl) 4  ·dioxane (Ln=lanthanide), have been shown to catalyze the polymerization of 1,3-butadiene. 
     SUMMARY OF THE INVENTION 
     The present invention provides a novel complex of lutetium. This complex has the formula (η 5  --(CH 3 ) 2  C 5  H 5 )Lu(η 5  --,η 3  --(CH 3 ) C 5  H 5  CH 2  CH 2  CH(CH 3 )C 3  H 3  (CH 3 )). It is prepared by reaction of 2,4-dimethylpentadienylpotassium and lutetium trichloride. The complex may be useful as a diene polymerization catalyst. 
    
    
     BRIEF DESCRIPTION OF DRAWINGS 
     FIG. 1 is a structural formula of the pentadienyllutetium complex of the present invention. 
     FIG. 2 is an ORTEP (Oak Ridge Thermal Ellipsoid Plot) diagram of the pentadienyllutetium complex of the present invention. 
    
    
     DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     The pentadienyllutetium complex of the present invention has the formula (η 5  --(CH 3 ) 2  C 5  H 5 )Lu(η 5  --,η 3  --(CH 3 ) C 5  H 5  CH 2  CH 2  CH(CH 3 )C 3  H 3  (CH 3 )). Its structural formula is shown in FIG. 1. From the structural formula it can be seen that a lutetium atom is η 5  -complexed with one solitary 2,4-dimethylpentadienyl ligand; the lutetium atom is also complexed with one 2,4-dimethylpentadienyl dimer via η 3  -allyl and η 5  -pentadienyl bonding. 
     The structure of the pentadienyllutetium complex of the present invention is further illustrated in the ORTEP diagram shown in FIG. 2, wherein each of the carbon atoms is numbered. An ORTEP diagram, derived from X-ray crystallographic data, shows the spatial relationships of the atoms within a molecule and indicates the probability of location of the atoms at a specific point in space by means of ellipsoids. The ORTEP plot is shown at the 30 percent probability level. 
     An unusual feature of the novel pentadienyllutetium complex of the present invention is that the lutetium atom is complexed by one 2,4-dimethylpentadienyl ligand as well as by one 2,4-dimethylpentadienyl dimer. 
     The pentadienyllutetium complex of the present invention is prepared by means of a metathesis reaction which involves the addition of three equivalents of 2,4-dimethylpentadienylpotassium to one equivalent of lutetium trichloride. Any organic solvent which is nonreactive with the reactants and in which the reactants are sufficiently soluble can be used, but an ether solvent such as tetrahydrofuran (THF) is preferred. The reaction is preferably carried out at low temperatures; for example, at temperatures in the range of about -40° C. to about -100° C.; a temperature of about -78° C. is especially preferred. Because of the acute air sensitivity and moisture sensitivity of the organometallic product of this reaction, it is desirable to conduct the metathesis reaction under an inert gas such as argon. Reaction times of about 1 hour to about 2 hours are effective. Work-up of the reaction product can be accomplished by allowing the reaction mixture to warm to room temperature, vacuum evaporating the solvent, extracting the residue with an inert solvent such as hexane, cyclohexane, or heptane, and concentrating the resulting extract. The concentrated extract yields a crystalline product upon cooling. The crystalline product has been found to have the formula (η 5  --(CH 3 ) 2  C 5  H 5 )Lu(η 5  --,η 3  --(CH 3 ) C 5  H 5  CH 2  CH 2  CH(CH 3 )C 3  H 3  (CH 3 )), the structural formula shown in FIG. 1 and the ORTEP diagram shown in FIG. 2. 
     The present invention will be better understood by reference to the following examples which are included for purposes of illustration and are not to be construed as in any way limiting the scope of the present invention, which is defined in the appended claims. 
     EXAMPLE 1 
     (η 5  --(CH 3 ) 2  C 5  H 5 )Lu(η 5  --,η 3  --(CH 3 ) C 5  H 5  CH 2  CH 2  CH(CH 3 )C 3  H 3  (CH 3 )). 
     Into a 100-mL, three-necked, round-bottom flask equipped with a spinbar, rubber septum, glass stopper and gas inlet was placed 1.50 g (5.33 mmol) of anhydrous lutetium trichloride and 20 mL of THF. Argon was introduced through the gas inlet. The assembly was attached to a Schlenk line and the solution was stirred overnight to disperse the undissolved salt. Into a 50-mL, single-necked, round-bottom flask was placed a solution containing 2.15 g (16.0 mmol) of 2,4-dimethylpentadienyl-potassium prepared according to the method of Yasuda, H.; Ohnuma, Y.; Yamauchi, M.; Tani, H.; Nakamura, A., Bull, Chem. Soc. Jpn. 1979, 52, 2036, in 30 mL of THF. The flask was stoppered with a rubber septum and removed to the Schlenk line. This light amber-colored solution was slowly syringed into the rapidly stirred slurry of lutetium trichloride, previously cooled to -78° C. Upon dropwise addition of the potassium salt solution, a localized yellow color appeared momentarily, then dissipated. This occurred until approximately 1 mL of solution had been added. The yellow color then remained as the balance of the potassium salt was added. After complete addition, the solution was stirred for an additional 1.5 hr. The cooling bath was then removed and the solution was allowed to warm slowly to room temperature. During this period the solution gradually turned dark brown. After stirring overnight, the solvent was vacuum evaporated. The residue was extracted with hexane (4×20 mL) and the resulting extract was concentrated to a volume of 30 mL. The solution was then cooled to -78° C. for 8 hr, which resulted in the formation of olive-colored crystals. These crystals were isolated and subsequently dissolved in a minimum amount of THF/hexane. The solution was cooled to ca. -30° C. overnight, resulting in the formation of pale orange-yellow crystals suitable for X-ray diffraction analysis; yield 0.13g (5.3%). IR (Nujol mull) absorptions were observed at 3110 (vw), 3090 (w), 3080 (w), 3025 (w), 1525 (s, br), 1425 (sh), 1350 (w), 1340 (w), 1320 (vw), 1290 (w), 1270 (w), 1250 (w-m), 1230 (w), 1210 (vw), 1180 (w), 1155 (vw), 1090 (w-m), 1060 (m), 1030 (m), 1015 (w), 990 (sh), 980 (w), 945 (w), 925 (w), 890 (w), 875 (w, br), 850 (w-m), 835 (w-m), 810 (s), 800 (w), 795 (w), 770 (s, br), 700 (sh), 690 (sh), 630 (m), 600 (w) and 565 (sh) cm -1 . Anal. Calcd for LuC 21  H 33  : Lu, 38.00%. Found: Lu, 37.8%. 
     EXAMPLE 2 
     NMR Spectra of (η 5  --(CH 3 ) 2  C 5  H 5 )Lu(η 5  --,η 3  --(CH 3 )C 5  H 5  CH 2  CH 2  CH(CH 3 )C 3  H 3  (CH 3 )). 
       1  H and  13  C NMR spectra were acquired at ambient temperature with an IBM AF-270 FT NMR narrow-bore spectrometer. All data processing was done on an Aspect-3000 computer using DISNMR standard software. A 5 mm dual tuned probe was used to observe  1  H and  13  C nuclei at 270.130 and 67.925 MHz, respectively. The 90° pulse widths for  1  H and  13  C were 8.6 and 4.6 μsecs, respectively, while the decoupler coil pulse length was measured to be 14.2 μsecs. The lutetium complex was dissolved in benzene-d 6  solvent in a 5 mm Wilmad glass NMR tube and the sample was sealed under vacuum. The chemical shifts are reported in ppm from TMS by setting the residual proton signal of the solvent at 7.15 ppm and the corresponding  13  C solvent resonance at 128.0 ppm. The chemical shifts are shown in Table I. 
     
                       TABLE I______________________________________.sup.13 C{.sup.1 H}  and .sup.1 H NMR solution spectra in benzene-d.sub.6for(C.sub.7 H.sub.11)Lu(C.sub.14 H.sub.22).       Chemical ShiftsCarbon                    .sup.1 H (multiplicity,No. .sup.a, b      Type   .sup.13 C   proton count)______________________________________ 1         CH.sub.2             81.1        3.68(s, 1H)                         2.68(s, 1H) 2         C      147.3         -- 3         CH     90.0        4.73(s, 1H) 4         C      145.2         -- 5         CH.sub.2             82.2        4.35(s, 1H)                         3.37(s, 1H) 6         CH.sub.3             30.0        1.86(s, 3H) 7         CH.sub.3             29.9        1.98(s, 3H) 8         CH.sub.2             59.5        1.95(m, 1H)                         1.51(d, 1H,                         J=4.59Hz) 9         C      151.3         --10         CH     80.9        3.58(d, 1H,                         J=7.64Hz)11         CH     33.8        2.46(m, 1H)12         CH.sub.2             44.3        1.75(m, 1H)                         1.25(m, 1H)13         CH.sub.2             41.5        2.73(m, 1H)                         1.93(m, 1H)14         C      155.0         --15         CH     98.0        4.63(s, 1H)16         C      149.0         --17         CH.sub.3             27.7        1.82(s, 3H)18         CH.sub.3             24.2        2.23(s, 3H)19         CH.sub.3             24.0        1.07(d, 3H,                         J=6.63Hz)20         CH.sub.2             73.0        3.12(s, 1H)                         3.01(s, 1H)21         CH.sub.2             76.0        2.95(s, 1H)                         2.61(s, 1H)______________________________________ .sup.a refers to carbon numbering scheme shown in FIG. 2 .sup.b signal assignments for atoms 1 through 7 were made based on inference from a combination of 2D NMR experiments and Xray data 
    
     Carbon signal multiplicities were determined using the J-modulated spin echo pulse sequence. A 2D  1  H COSY spectrum was acquired using Jeener&#39;s two pulse sequence 90°-t1-45°-ACQ(t2), minimizing the diagonal peak intensities, according to Nagayama, K.; Kumar, A.; Wuthrich, K.; Ernst, R. R., J. Mac. Res. 1980, 40, 321. Thirty two scans were collected over a spectral width of 2,703 Hz for each of 256 time increments to give a matrix of 1024×1024 data points. The recycle delay used was 2 secs. The long range COSY experiment used the pulse sequence of Bax, A.; Freeman, R., J. Mag. Res. 1981, 44, 542, 90°-t1-Δ-45°-Δ-ACQ(t2), under the same conditions but with Δ set to 80 msecs to observe weak cross peaks from long range couplings. The free induction decays were multiplied with an unshifted sine squared bell function and symmetrization was applied to the final spectrum. 
     A 2D heteronuclear correlation spectrum (XHCORR) according to Bax, A.; Morris, G.; J. Mac. Res. 1981, 42, 501, was recorded using the pulse sequence, 90° (H)-1/2 t1-180° (C)-1/2t1-D3-90° (C)90° (H)d4-ACQ(t2/) (under proton decoupling). The acquisition involved 128 scans for each of 128 t1 increments using a 3 sec recycle delay. Delays D3 and D4 were optimized for J=160 Hz (i.e. set to 3.125 and 1.563 msec, respectively). The spectral widths used in the F1 and F2 domains were 2,702 and 13,514 Hz, respectively. The t2 data were exponentially weighed using a line-broadening factor of 5 Hz and Fourier transformed over 2,048 data points. The t1 interferograms were modified with a shifted (π/4) sine bell squared function before Fourier transformation over 256W data points as a magnitude spectrum. Finally, the pulse sequence that worked best for obtaining a long range heteronuclear correlation spectrum of this organometallic complex was the modified version of XHCORR suggested in Krishnamurthy, V. V.; Nunlist, R., J. Mac. Res. 1988, 80, 280. The sequence involves the elimination of the refocusing D4 delay and BB decoupling during acquisition. The D3 delay was optimized for long range couplings of the magnitude of 8 Hz and set to be 62.5 msec. The number of scans was increased to 512 for each increment of t1. 
     EXAMPLE 3 
     X-ray Crystallography of (η 5  --(CH 3 ) 2  C 5  H 5 )Lu(η 5  --,η 3  --(CH 3 )C 5  H 5  CH 2  CH 2  CH(CH 3 )C 3  H 3  (CH 3 )). 
     A single crystal of approximate dimensions 0.20×0.30×0.40 mm was sealed into a thin-walled glass capillary under an inert atmosphere (N 2 ) and mounted on a Syntex P2 1  diffractometer. Subsequent setup operations (determination of accurate unit cell dimensions and orientation matrix) and collection of room temperature (296 K) intensity data were carried out using standard techniques similar to those of Churchill, M. R.; Lashewycz, R. A.; Rotella, F. J., Inorg. Chem. 1977, 16, 265. Details appear in Table II. 
     
                       TABLE II______________________________________Crystal Data and Structure Refinement Parameters for(C.sub.7 H.sub.11)Lu(C.sub.14 H.sub.22).______________________________________Formula: C.sub.21 H.sub.33 LuFw: 460.5Crystal System: TriclinicSpace Group: P1a = 7.382(4) Åb = 8.703(2) Åc = 16.443(6) Åα = 78.54(2)°β = 84.74(4)°γ = 68.11(3)°V = 960.5(6) Å.sup.3Z = 2D.sub.calcd, Mg/m.sup.3 = 1.592Diffractometer: Syntex P2.sub.1Radiation: MoKα (.sup.-- λ = 0.710730 Å)Monochromator: Highly oriented graphiteData Collected: +h, ±GK,±1Scan Type: θ-2θScan Width: 1.2 deg.Scan Speed: 2.0 deg min.sup.-1 (in ω)2θ.sub.max, deg: 55.0μ(Mo Kα), mm.sup.-1 = 5.144Absorption correction: Semi-Empirical (ψ-scanmethod)Reflections Collected: 4439Reflections with |F.sub.o | &gt; 0: 4380No. of Variables: 200R.sub.F = 3.3%; R.sub.wF = 4.8%Goodness of Fit: 1.23______________________________________ 
    
     All 4439 data were corrected for the effects of absorption and for Lorentz and polarization effects and placed on an approximately absolute scale by means of a Wilson plot. Any reflection with I(net)&lt;0 was assigned the value |F o  |=0. A careful examination of a preliminary data set revealed no systematic extinctions nor any diffraction symmetry other than the Friedel condition. The centrosymmetric triclinic space group P1[C 1   i  ; No. 2] was chosen and later determined to be correct by successful solution of the structure. 
     All crystallographic calculations were carried out using either our locally modified version of the UCLA Crystallographic Computing Package (UCLA Crystallographic Computing Package, University of California Los Angeles, 1981, C. Strouse; personal communication) or the SHELXTL PLUS program set (Nicolet Instrument Corporation; Madison, WI 1988). The analytical scattering factors for neutral atoms were used throughout the analysis (International Tables for X-Ray Crystallography; Kynoch Press: Birmingham, England, 1974; pp 99-101); both the real (Δf&#39;) and imaginary (iΔf&#34;) components of anomalous dispersion (International Tables for X-Ray Crystallography; Kynoch Press: Birmingham, England, 1974; pp 149-150) were included. The quantity minimized during least-squares analysis was Σw(|F o  |-|F c  |) 2  where w -1  =σ 2  (|F o  |)+0.0007(|F o  |) 2 . 
     The structure was solved by direct methods (MITHRIL) (Gilmore, C. J., J. Appl. Cryst. 1984, 17, 4246.) and refined by full-matrix least-squares techniques (SHELXTL). Hydrogen atom contributions were included using a riding model with d(C-H)=0.96Å and U(iso)=0.08Å 2 . Refinement of positional and anisotropic thermal parameters led to convergence with R F  =3.3%; R wF  =4.8% and GOF=1.23 for 200 variables refined against all 4380 unique data, (R F  =3.1; R wF  =4.6 for those 4185 data with |F o  |&gt;6.0 σ(|F o  |)). A final difference-Fourier map was devoid of significant features, ρ (max)=1.37eÅ -3 . 
     Atomic coordinates and equivalent isotropic displacement coefficients are listed in Table III. Selected interatomic distances and angles are listed in Table IV. Anisotropic displacement coefficients are shown in Table V while H-atom coordinates and isotropic displacement coefficients are shown in Table VI. 
     
                       TABLE III______________________________________Atomic coordinates (×10.sup.4) and equivalent isotropicdisplacement coefficients (Å.sup.2 × 10.sup.4) for (C.sub.7H.sub.11)Lu(C.sub.14 H.sub.22)x            y         z          U(eq)*______________________________________Lu(1) -2242.5(.2)            347.4(.2) 2205.9(.1)                               273.5(.9)C(1)  361(9)     -1464(7)  3336(3)  549(21)C(2)  -164(7)    -2687(6)  3091(3)  469(17)C(3)  -167(7)    -2961(6)  2291(3)  406(15)C(4)  481(7)     -2203(6)  1517(3)  448(16)C(5)  1181(8)    -921(8)   1419(4)  603(22)C(6)  -974(10)   -3737(7)  3761(4)  741(24)C(7)  256(10)    -2858(8)  771(4)   657(24)C(8)  -1403(7)   2854(6)   1785(3)  454(17)C(9)  -2849(7)   3468(5)   2387(3)  376(15)C(10) -2798(7)   2535(6)   3187(3)  434(17)C(11) -4231(10)  3020(8)   3887(3)  558(23)C(12) -5561(10)  1993(9)   4090(3)  607(25)C(13) -6885(8)   2158(8)   3381(3)  553(21)C(14) -5909(6)   1106(6)   2721(3)  402(16)C(15) -5981(6)   2044(5)   1896(3)  374(14)C(16) -5152(6)   1483(6)   1143(3)  385(15)C(17) -5375(9)   2847(7)   391(3)   557(21)C(18) -4531(9)   5100(6)   2112(3)  509(19)C(19) -3045(14)  2756(12)  4668(4)  951(47)C(20) -4972(7)   -585(6)   2951(3)  444(17)C(21) -4058(7)   -142(6)   1046(3)  450(17)______________________________________ *Equivalent isotropic U defined as one third of the trace of the orthogonalized U.sub.ij tensor 
    
     
                       TABLE IV______________________________________Selected Interatomic Distances (Å) and Angles(Deg) for (C.sub.7 H.sub.11)Lu(C.sub.14 H.sub.22).______________________________________Interatomic DistancesLu(1)-C(1)   2.620(6) Lu(1)-C(2)    2.703(4)Lu(1)-C(3)   2.693(4) Lu(1)-C(4)    2.740(5)Lu(1)-C(5)   2.677(6) Lu(1)-C(8)    2.440(6)Lu(1)-C(9)   2.656(5) Lu(1)-C(10)   2.629(5)Lu(1)-C(14)  2.636(5) Lu(1)-C(15)   2.642(4)Lu(1)-C(16)  2.658(5) Lu(1)-C(20)   2.567(5)Lu(1)-C(21)  2.614(6) Lu(1)-Cent(1) 2.227Lu(1)-Cent(2)        2.353    Lu(1)-Cent(3) 2.149C(1)-C(2)    1.398(10)                 C(2)-C(3)     1.383(8)C(2)-C(6)    1.514(9) C(3)-C(4)     1.439(7)C(4)-C(5)    1.371(10)                 C(4)-C(7)     1.497(9)C(8)-C(9)    1.412(6) C(9)-C(10)    1.398(6)C(9)-C(18)   1.515(6) C(10)-C(11)   1.504(7)C(11)-C(12)  1.533(12)                 C(11)-C(19)   1.551(11)C(12)-C(13)  1.541(9) C(13)-C(14)   1.515(8)C(14)-C(15)  1.432(6) C(14)-C(20)   1.362(7)C(15)-C(16)  1.423(7) C(16)-C(17)   1.508(7)C(16)-C(21)  1.376(6)Interatomic AnglesC(1)-C(2)-C(3)        127.1(5) C(1)-C(2)-C(6)                               116.7(5)C(3)-C(2)-C(6)        116.0(6) C(2)-C(3)-C(4)                               130.8(5)C(3)-C(4)-C(5)        125.4(5) C(3)-C(4)-C(7)                               115.0(6)C(5)-C(4)-C(7)        119.6(5) C(8)-C(9)-C(10)                               120.9(4)C(8)-C(9)-C(18)        117.5(4) C(10)-C(9)-C(18)                               121.5(4)C(9)-C(10)-C(11)        126.8(4) C(10)-C(11)-C(12)                               113.8(6)C(10)-C(11)-C(19)        107.6(6) C(12)-C(11)-C(19)                               108.8(5)C(11)-C(12)-C(13)        115.2(5) C(12)-C(13)-C(14)                               115.5(4)C(13)-C(14)-C(15)        114.8(4) C(13)-C(14)-C(20)                               119.2(5)C(15)-C(14)-C(20)        125.8(5) C(14)-C(15)-C(16)                               129.8(4)C(15)-C(16)-C(17)        115.7(4) C(15)-C(16)-C(21)                               126.9(4)C(17)-C(16)-C(21)        117.3(4)Cent(1)-Lu(1)-Cent(2)        126.7    Cent(1)-Lu(1)-                               128.9                 Cent(3)Cent(2)-Lu(1)-Cent(3)        104.2______________________________________ Cent(1) is the centroid of the unit defined by C(1)C(2)-C(3)-C(4)-C(5). Cent(2) is the centroid of the unit defined by C(8)C(9)-C(10). Cent(3) is the centroid of the unit defined by C(20)C(14)-C(15)-C(16)-C(21). 
    
     
                                           TABLE V__________________________________________________________________________Anisotropic displacement coefficients (Å.sup.2 × 10.sup.4) for(C.sub.7 H.sub.11)Lu(C.sub.14 H.sub.22).U.sub.11  U.sub.22           U.sub.33               U.sub.23                     U.sub.13                          U.sub.12__________________________________________________________________________LU(1)205(1)     269(1)           337(1)               -39(1)                     22(1)                          -79(1)C(1) 528(31)     524(30)           506(27)               -7(23)                     -213(23)                          -85(24)C(2) 392(24)     387(23)           496(25)               -31(19)                     -15(19)                          -15(19)C(3) 343(21)     316(20)           495(23)               -56(17)                     -16(17)                          -54(17)C(4) 322(22)     423(25)           441(23)               -44(19)                     -3(18)                          27(18)C(5) 341(25)     608(33)           668(34)               -4(26)                     158(23)                          -47(23)C(6) 788(42)     420(27)           617(33)               204(24)                     167(30)                          41(27)C(7) 681(39)     515(32)           568(32)               -191(25)                     99(28)                          40(28)C(8) 417(24)     395(23)           594(27)               -59(20)                     31(20)                          -222(20)C(9) 449(23)     269(18)           474(22)               -31(16)                     -84(18)                          -202(17)C(10)484(26)     423(23)           425(21)               -60(18)                     -109(18)                          -195(20)C(11)775(40)     545(31)           371(23)               -111(21)                     -44(23)                          -238(29)C(12)700(39)     718(38)           401(24)               -181(24)                     167(24)                          -256(31)C(13)403(26)     644(32)           586(29)               -183(25)                     139(22)                          -159(23)C(14)230(18)     464(24)           531(25)               -132(20)                     40(17)                          -136(17)C(15)280(19)     351(20)           477(22)               -80(17)                     -39(16)                          -88(16)C(16)291(20)     385(22)           475(22)               -92(18)                     -99(16)                          -91(17)C(17)634(33)     451(27)           503(26)               -16(21)                     -148(23)                          -104(24)C(18)641(32)     319(21)           544(27)               -65(19)                     -68(23)                          -141(21)C(19)1536(84)     1156(64)           462(31)               -196(36)                     -171(40)                          -773(64)C(20)355(22)     454(24)           548(25)               -36(19)                     40(18)                          -213(19)C(21)411(24)     436(24)           507(24)               -158(19)                     -75(19)                          -103(19)__________________________________________________________________________ The anisotropic displacement exponent takes the form: -2π.sup.2 (h.sup.2 a*.sup.2 U.sub.11 + . . . + 2hka*b*U.sub.12) 
    
     
                       TABLE VI______________________________________H-Atom Coordinates (33 10.sup.4) and Isotropic Displacementcoefficients (A.sup.2 × 10.sup.4) for (C.sub.7 H.sub.11)Lu(C.sub.14H.sub.22).  x       y         z        U______________________________________H(1A)    7         -1272     3894   800H(1B)    1675      -1537     3187   800H(3A)    -918      -3620     2223   800H(5A)    2316      -1146     1733   800H(5B)    1268      -375      857    800H(6A)    65        -4757     3979   800H(6B)    -1563     -3119     4199   800H(6C)    -1938     -4006     3525   800H(7A)    1440      -3754     664    800H(7B)    -797      -3270     871    800H(7C)    -31       -1961     300    800H(8A)    -1723     3425      1225   800H(8B)    -104      2708      1920   800H(10A)   -1540     2316      3399   800H(11A)   -5044     4187      3747   800H(12A)   -6345     2293      4574   800H(12B)   -4731     831       4226   800H(13A)   -7399     3321      3121   800H(13B)   -7966     1851      3619   800H(15A)   -6392     3239      1863   800H(17A)   -6532     3036      101    800H(17B)   -5480     3864      568    800H(17C)   -4257     2517      28     800H(18A)   - 4300    6011      2274   800H(18B)   -4639     5301      1520   800H(18C)   -5720     5020      2371   800H(19A)   -3937     3059      5123   800H(19B)   -2215     1593      4802   800H(19C)   -2261     3443      4567   800H(20A)   -4829     -987      3538   800H(20B)   -5381     -1274     2677   800H(21A)   -4677     -950      1221   800H(21B)   -3364     -267      525    800______________________________________ 
    
     The invention may be embodied in other forms without departing from the spirit or essential characteristics thereof. Consequently, the present embodiments and examples are to be considered only as being illustrative and not restrictive, with the scope of the invention being defined by the appended claims. All embodiments which come within the scope and equivalency of the claims are therefore intended to be embraced therein.