Microwave and Quantum Chemical Study of Allyldifluorosilane (H2C=CHCH2SiF2H) Harald Møllendal,*,ϯ Svein Samdal,ϯ Gamil A. Guirgis,‡ and Charles J. Wurrey§ Centre for Theoretical and Computational Chemistry (CTCC), Department of Chemistry, University of Oslo, P. O. Box 1033 Blindern, NO-0315 Oslo, Norway, Department of Chemistry and Biochemistry, College of Charleston, Charleston, SC 29424, USA, Department of Chemistry, University of Missouri-Kansas City, Kansas City, MO 64110 Supporting Information *To whom correspondence should be addressed. Tel: +47 2285 5674; Fax: +47 2285 5441; Email: harald.mollendal@kjemi.uio.no ϯUniversity ‡College § of Oslo of Charleston University of Missouri-Kansas City 1 TABLE 1S: B3LYP/6-311++G(3df,3pd) Structures of Four Conformers of H2CH=CHCH2SiF2H conformer: Ia II III IV bond length (pm) C1–H2 108.3 108.3 108.3 108.2 C1–H3 108.1 108.1 108.1 108.2 C1–C4 132.8 132.7 132.8 132.7 C4–H5 108.5 108.5 108.6 108.6 C4–C6 150.1 150.1 150.1 150.7 C6–H7 109.4 109.6 109.4 109.8 C6–H8 109.3 109.3 109.3 109.8 C6–Si9 186.1 186.1 186.1 185.6 Si9–H10 146.9 147.1 147.0 147.1 Si9–F11 160.1 160.0 159.8 160.0 Si9–F12 160.0 159.8 160.1 160.0 angles (deg) H2–C1–H3 116.8 116.9 116.9 116.2 H2–C1–C4 121.9 121.8 121.8 123.0 H3–C1–C4 121.3 121.3 121.3 120.8 C1–C4–H5 118.9 119.0 118.7 118.2 C1–C4–C6 125.3 125.2 125.4 127.2 H5–C4–C6 115.8 115.8 115.9 114.6 2 C4–C6–H7 111.1 110.6 110.7 109.4 C4–C6–H8 111.0 110.9 111.1 109.4 C4–C6–Si9 111.9 113.9 112.6 120.0 H7–C6–H8 107.3 106.9 107.1 104.2 H7–C6–Si9 107.7 106.6 107.3 106.3 H8–C6–Si9 107.7 107.6 107.8 106.3 C6–Si9–H10 114.6 114.1 114.9 112.3 C6–Si9–F11 109.6 109.7 109.8 111.3 C6–Si9–F12 109.6 110.3 109.3 111.3 H10–Si9–F11 108.0 107.7 107.8 107.5 H10–Si9–F12 107.9 107.6 107.8 107.5 F11–Si9–F12 106.9 107.1 106.8 106.7 dihedral angle (deg) H2–C1–C4–H5 –179.9 179.7 –180.0 180.0 H2–C1–C4–C6 1.9 1.1 1.2 0.0 H3–C1–C4–H5 –0.3 –0.1 –0.1 0.0 H3–C1–C4–C6 –178.5 –178.8 –178.8 180.0 C1–C4–C6–H7 –133.9 –130.7 –133.7 123.2 C1–C4–C6–H8 –14.7 –12.3 –14.8 –123.2 C1–C4–C6–Si9 105.7 109.3 106.2 0.0 H5–C4–C6–H7 47.8 50.6 47.5 –56.8 H5–C4–C6–H8 167.1 169.0 166.5 56.8 H5–C4–C6–Si9 –72.5 –69.5 –72.5 180.0 3 C4–C6–Si9–H10 –61.8 175.0 51.2 180.0 C4–C6–Si9–F11 176.6 54.0 –70.5 59.4 C4–C6–Si9–F12 59.5 –63.8 172.5 –59.4 H7–C6–Si9–H10 175.8 52.6 –70.9 55.3 H7–C6–Si9–F11 54.3 –68.3 167.5 –65.3 H7–C6–Si9–F12 –62.7 173.9 50.5 175.9 H8–C6–Si9–H10 60.4 –61.7 174.0 –55.3 H8–C6–Si9–F11 –61.1 177.4 52.4 –175.9 H8–C6–Si9–F12 –178.2 59.6 –64.6 65.3 a The MW spectrum of this conformer was assigned. 4 TABLE 2S: B3LYP/6-311++G(3df,3pd) Parameters of Spectroscopic Interest of Four Conformersa of H2CH=CHCH2SiF2H conformer Ib II III IV rotational constants (MHz) A 5726.7 4536.2 5716.9 4068.0 B 1564.9 1779.6 1611.3 1934.5 C 1355.1 1587.0 1373.0 1905.0 quartic centrifugal distortion constantsc (kHz) J 0.474 1.32 0.638 JK 3.87 0.856 1.59 12.6 K 4.19 4.28 3.10 –12.6 J 0.018 0.093 0.129 K 2.28 1.88 2.23 0.880 –0.031 –134.4 dipole moment (10-30 C m) a 5.8 3.1 5.2 7.0 b 2.5 1.9 3.9 2.8 c 0.4 5.9 1.8 0.0 2.1 10.6 energy differencee (kJ/mol) E 0.0 2.5 a Minima on the potential energy hypersurface; see text. b The MW spectrum of this conformer was assigned. c A-reduction, Ir-representation.1 d For symmetry reasons. e Relative to Conformer 5 I and corrected for the zero-point energy. Electronic energy of Conformer I: −1594 686.46 kJ/mol. 6 TABLE 3S: MP2/6-311++(3df,3pd)a and B3LYP/6311++G(3df,3pd)b Structures of the Transition State of CH2=CHCH2SiF2H, Conformer V method: MP2 B3LYP bond length (pm) C1–H2 108.2 108.3 C1–H3 108.0 108.1 C1–C4 133.6 132.8 C4–H5 108.4 108.5 C4–C6 150.6 150.9 C6–H7 109.3 109.5 C6–H8 109.4 109.6 C6–Si9 185.0 185.8 Si9–H10 146.3 146.9 Si9–F11 159.9 160.1 Si9–F12 159.7 159.9 angles (deg) H2–C1–H3 116.9 116.2 H2–C1–C4 122.4 122.8 H3–C1–C4 120.7 121.0 C1–C4–H5 118.0 118.1 C1–C4–C6 125.6 126.7 H5–C4–C6 116.4 115.2 7 C4–C6–H7 110.0 109.7 C4–C6–H8 110.3 110.0 C4–C6–Si9 115.7 117.6 H7–C6–H8 105.4 104.8 H7–C6–Si9 106.3 106.1 H8–C6–Si9 108.6 107.8 C6–Si9–H10 116.3 116.9 C6–Si9–F11 108.2 107.8 C6–Si9–F12 109.6 110.1 H10–Si9–F11 107.3 107.2 H10–Si9–F12 107.6 107.5 F11–Si9–F12 107.3 106.9 dihedral angle (deg) H2–C1–C4–H5 –179.7 –179.8 H2–C1–C4–C6 –0.9 –1.0 H3–C1–C4–H5 –0.1 –0.1 H3–C1–C4–C6 178.7 178.7 C1–C4–C6–H7 150.7 148.7 C1–C4–C6–H8 –93.4 –96.5 C1–C4–C6–Si9 30.4 27.4 H5–C4–C6–H7 –30.5 –32.5 H5–C4–C6–H8 85.4 82.3 H5–C4–C6–Si9 –150.8 –153.8 8 C4–C6–Si9–H10 –61.3 –58.8 C4–C6–Si9–F11 177.9 –179.5 C4–C6–Si9–F12 61.1 64.2 H7–C6–Si9–H10 176.4 178.0 H7–C6–Si9–F11 55.5 57.3 H7–C6–Si9–F12 –61.2 –59.0 H8–C6–Si9–H10 63.4 66.1 H8–C6–Si9–F11 –57.5 –54.6 H8–C6–Si9–F12 –174.2 –170.9 a MP2 electronic energy relative to conformer I: 13.0 kJ/mol. b B3LYP electronic energy relative to conformer I: 11.8 kJ/mol 9 TABLE 4S: Fundamental Vibrational Frequencies (cm−1) of Conformer I 1(1) 2(1) 3(1) 4(1) 5(1) 6(1) 7(1) 8(1) 9(1) 10(1) 11(1) 12(1) 13(1) 14(1) 15(1) 16(1) 17(1) 18(1) 19(1) 20(1) 21(1) 22(1) 23(1) 24(1) 25(1) 26(1) 27(1) 28(1) 29(1) 30(1) Harmonic 3220.0 3142.2 3132.8 3069.4 3021.2 2288.2 1694.7 1463.1 1434.8 1334.5 1217.3 1202.4 1059.6 1028.7 949.6 940.1 923.2 891.9 836.7 826.1 773.7 711.0 599.4 411.2 342.2 300.2 255.1 143.9 79.6 55.1 Anharmonic 3071.9 2996.5 2946.4 2912.0 2888.2 2233.6 1657.0 1423.2 1400.9 1308.2 1197.7 1171.7 1039.5 1015.0 933.0 923.2 913.4 877.0 823.2 814.3 761.1 701.8 597.3 409.0 340.1 296.3 253.8 146.5 59.3 56.4 10 Comments for the Table 5S: Hamiltonian: Watson’s A-reduction Ir representation1 Transition labels: J’’ K-1’’ K+1’’ J’ K-1’ J K+1’ obs. – calc.: the observed – the calculated residuals weight: the estimated uncertainties of the observed frequencies. Each transition is weighted according to the inverse square of its estimated uncertainty t: Student’s t-test2 distortion correction: centrifugal distortion correction total: correction from quartic and sextic (if included) centrifugal distortion constants higher: contribution from sextic centrifugal distortion constants fixed: contribution from fixed quartic and/or fixed sextic centrifugal distortion constants. The values of fixed constants are also displayed rms deviation: root-mean-square deviation. Defined dimensionless in a weighted least-squares fit2 : Ray’s asymmetry parameter defined by = (2B – A – C)/(A – C) Pseudo-inertial defect: defined by = Ic – Ia – Ib Uncertainties: The uncertainties represent one standard deviation Significant digits: the number of significant digits of each fitted constant is listed on the diagonal of the correlation matrix Units: the observed frequencies, the residuals, the distortion corrections, and the rotational constants are in MHz, the quartic centrifugal distortion constants are in kHz, the sextic centrifugal distortion constants (if applied) are in Hz, and the principal axis inertial constants and the inertial defect are in u Å2 11 TABLE 5S: Microwave Spectrum of the Ground Vibrational State of H2C=CHCH2SiF2H Total number of transitions: 295 Transition 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 4 5 5 5 5 6 6 8 8 4 6 6 7 7 8 8 9 9 4 4 6 6 7 7 8 8 9 9 10 10 11 11 4 4 6 6 7 7 8 8 9 9 10 10 11 11 4 4 5 6 6 7 7 9 9 6 5 4 6 5 5 4 3 2 8 6 5 5 4 4 3 3 2 9 8 7 6 6 5 5 4 4 3 3 2 2 1 10 9 8 7 7 6 6 5 5 4 4 3 3 2 11 10 10 9 8 8 7 6 5 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 4 5 5 5 5 6 6 8 8 4 6 6 7 7 8 8 9 9 4 4 6 6 7 7 8 8 9 9 10 10 11 11 4 4 6 6 7 7 8 8 9 9 10 10 11 11 4 4 5 6 6 7 7 9 9 obs. frequency 7 6 5 7 6 6 5 4 3 9 7 6 6 5 5 4 4 3 10 9 8 7 7 6 6 5 5 4 4 3 3 2 11 10 9 8 8 7 7 6 6 5 5 4 4 3 12 11 11 10 9 9 8 7 6 29856.280 29826.580 29826.580 32820.460 32820.460 32797.710 32797.710 32774.000 32774.000 35864.840 35788.570 35788.570 35770.700 35770.700 35758.730 35758.730 35750.140 35750.140 38874.630 38911.700 38782.640 38782.640 38759.270 38759.270 38744.320 38744.320 38733.580 38733.580 38725.720 38725.720 38719.380 38719.380 41887.360 41948.520 41778.100 41778.100 41750.320 41750.320 41731.520 41731.520 41718.390 41718.390 41708.700 41708.700 41700.750 41700.750 44901.960 44999.880 44833.550 44777.480 44777.480 44742.860 44742.860 44704.180 44704.180 obs.- weight calc. 0.102 0.350 0.235 -0.081 -0.367 0.038 0.034 -0.386 -0.386 -0.236 -0.105 -0.116 -0.013 -0.013 -0.041 -0.041 -0.064 -0.064 -0.190 0.244 0.494 0.464 -0.177 -0.177 -0.119 -0.119 -0.173 -0.173 0.062 0.062 0.190 0.190 -0.009 -0.146 -0.201 -0.271 0.245 0.244 0.021 0.021 0.035 0.035 0.226 0.226 0.099 0.099 0.125 -0.247 0.236 0.125 -0.029 0.108 0.105 0.087 0.087 0.20 0.15 0.15 0.25 0.25 0.25 0.25 0.20 0.20 0.30 0.15 0.15 0.15 0.15 0.15 0.15 0.20 0.20 0.10 0.25 0.20 0.20 0.30 0.30 0.10 0.10 0.10 0.10 0.10 0.10 0.20 0.20 0.10 0.30 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.20 0.20 0.20 0.20 0.15 0.20 0.20 0.10 0.10 0.40 0.40 0.15 0.15 t 0.3 1.6 1.1 -0.2 -1.0 0.1 0.1 -1.3 -1.3 -0.5 -0.5 -0.5 -0.1 -0.1 -0.2 -0.2 -0.2 -0.2 -1.3 0.7 1.6 1.6 -0.4 -0.4 -0.8 -0.8 -1.2 -1.2 0.4 0.4 0.6 0.6 -0.1 -0.3 -1.4 -1.8 1.7 1.7 0.1 0.1 0.2 0.2 0.8 0.8 0.3 0.3 0.6 -0.9 0.8 0.8 -0.2 0.2 0.2 0.4 0.4 distortion corrections total higher fixed -3.402 -3.898 -3.898 -4.867 -4.868 -5.535 -5.535 -7.236 -7.236 -5.399 -6.729 -6.730 -7.592 -7.592 -8.589 -8.589 -9.718 -9.718 -6.655 -6.678 -8.102 -8.102 -9.039 -9.039 -10.120 -10.120 -11.346 -11.346 -12.716 -12.716 -14.230 -14.230 -8.099 -8.136 -9.666 -9.666 -10.677 -10.677 -11.844 -11.844 -13.167 -13.167 -14.646 -14.646 -16.281 -16.281 -9.746 -9.803 -10.515 -11.435 -11.435 -12.521 -12.521 -15.195 -15.195 8.9E-3 4.7E-3 4.7E-3 0.011 0.011 4.0E-3 4.0E-3 -0.013 -0.013 0.028 0.012 0.012 1.2E-3 1.2E-3 -0.011 -0.011 -0.025 -0.025 0.044 0.045 0.024 0.024 0.011 0.011 -4.9E-3 -4.9E-3 -0.022 -0.022 -0.042 -0.042 -0.063 -0.063 0.068 0.068 0.042 0.042 0.025 0.025 6.0E-3 6.0E-3 -0.016 -0.016 -0.040 -0.040 -0.067 -0.067 0.099 0.100 0.085 0.068 0.068 0.047 0.047 -3.4E-3 -3.4E-3 0.034 0.012 0.012 0.031 0.031 1.5E-3 1.5E-3 -0.079 -0.079 0.083 0.024 0.024 -0.016 -0.016 -0.063 -0.063 -0.118 -0.118 0.116 0.079 0.051 0.051 9.3E-3 9.3E-3 -0.041 -0.041 -0.100 -0.100 -0.166 -0.166 -0.239 -0.239 0.157 0.093 0.084 0.084 0.040 0.040 -0.013 -0.013 -0.076 -0.076 -0.146 -0.146 -0.225 -0.225 0.207 0.101 0.157 0.123 0.122 0.078 0.078 -0.045 -0.045 12 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 13 13 14 14 4 4 5 6 6 8 8 9 9 12 12 13 13 14 14 4 5 7 7 8 8 9 9 10 10 12 12 13 13 14 14 4 5 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 16 16 4 5 7 7 8 8 9 2 1 1 0 12 11 10 10 9 8 7 7 6 4 3 3 2 2 1 13 11 10 9 9 8 8 7 7 6 5 4 4 3 3 2 14 12 11 10 10 9 9 8 8 7 7 6 6 5 5 4 4 3 2 1 15 13 12 11 11 10 10 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 19 19 19 19 19 19 19 13 13 14 14 4 4 5 6 6 8 8 9 9 12 12 13 13 14 14 4 5 7 7 8 8 9 9 10 10 12 12 13 13 14 14 4 5 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 16 16 4 5 7 7 8 8 9 3 2 2 1 13 12 11 11 10 9 8 8 7 5 4 4 3 3 2 14 12 11 10 10 9 9 8 8 7 6 5 5 4 4 3 15 13 12 11 11 10 10 9 9 8 8 7 7 6 6 5 5 4 3 2 16 14 13 12 12 11 11 44668.490 44668.490 44662.630 44662.630 47916.910 48068.640 47855.760 47779.740 47779.740 47710.380 47710.380 47691.180 47691.180 47656.260 47656.260 47648.820 47648.820 47642.380 47642.380 50931.430 50879.140 50734.970 50734.970 50702.590 50702.590 50679.040 50679.040 50662.440 50662.440 50638.840 50638.840 50630.150 50630.150 50622.060 50622.060 53943.950 53911.490 53734.880 53734.880 53695.940 53695.940 53668.990 53668.990 53648.880 53648.880 53634.050 53634.050 53621.220 53621.220 53611.430 53611.430 53602.420 53602.420 53587.360 53587.360 56952.100 56952.100 56736.920 56736.920 56691.540 56691.540 56660.150 -0.044 -0.044 -0.100 -0.100 -0.142 -0.112 0.145 0.216 -0.105 0.139 0.139 0.129 0.129 -0.360 -0.360 -0.127 -0.127 0.153 0.153 -0.166 -0.314 0.093 0.077 0.440 0.440 -0.275 -0.275 -0.002 -0.002 0.084 0.084 0.298 0.298 -0.054 -0.054 0.128 0.345 0.234 0.199 0.036 0.035 0.019 0.019 -0.275 -0.275 0.189 0.189 -0.335 -0.335 0.149 0.149 0.002 0.002 -0.013 -0.013 0.175 -0.045 -0.187 -0.260 -0.083 -0.085 0.043 0.20 0.20 0.30 0.30 0.15 0.25 0.15 0.20 0.20 0.15 0.15 0.10 0.10 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.20 0.10 0.10 0.30 0.30 0.15 0.15 0.20 0.20 0.10 0.10 0.10 0.10 0.10 0.10 0.20 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.15 0.15 0.15 0.15 0.10 0.10 0.10 0.10 0.15 0.15 0.20 0.20 0.20 0.20 0.10 0.10 0.10 0.10 0.10 -0.1 -0.1 -0.2 -0.2 -0.7 -0.3 0.7 0.7 -0.4 0.6 0.6 0.9 0.9 -1.2 -1.2 -0.4 -0.4 0.5 0.5 -0.6 -1.1 0.6 0.5 1.0 1.0 -1.2 -1.2 -0.0 -0.0 0.6 0.6 2.0 2.0 -0.4 -0.4 0.6 2.8 1.6 1.3 0.2 0.2 0.1 0.1 -1.2 -1.2 0.8 0.8 -2.2 -2.2 1.0 1.0 0.0 0.0 -0.0 -0.0 1.3 -0.2 -1.3 -1.8 -0.6 -0.6 0.3 -22.552 -22.552 -24.808 -24.808 -11.607 -11.690 -12.448 -13.422 -13.422 -15.924 -15.924 -17.443 -17.443 -23.076 -23.076 -25.311 -25.311 -27.724 -27.724 -13.696 -14.606 -16.877 -16.877 -18.305 -18.305 -19.925 -19.925 -21.735 -21.735 -25.926 -25.926 -28.307 -28.307 -30.879 -30.879 -16.025 -17.010 -19.415 -19.415 -20.932 -20.932 -22.652 -22.652 -24.574 -24.574 -26.698 -26.698 -29.025 -29.025 -31.554 -31.554 -34.285 -34.285 -40.352 -40.352 -18.605 -19.672 -22.210 -22.211 -23.816 -23.816 -25.637 -0.142 -0.142 -0.185 -0.185 0.141 0.143 0.124 0.103 0.103 0.049 0.049 0.017 0.017 -0.104 -0.104 -0.152 -0.152 -0.203 -0.203 0.196 0.176 0.120 0.120 0.085 0.085 0.046 0.046 2.8E-3 2.8E-3 -0.098 -0.098 -0.155 -0.155 -0.217 -0.217 0.266 0.242 0.176 0.176 0.135 0.135 0.088 0.088 0.037 0.037 -0.021 -0.021 -0.083 -0.083 -0.151 -0.151 -0.225 -0.225 -0.388 -0.388 0.354 0.327 0.249 0.249 0.200 0.200 0.146 -0.397 -0.397 -0.506 -0.506 0.268 0.100 0.184 0.167 0.166 0.063 0.063 -6.9E-3 -6.9E-3 -0.274 -0.274 -0.382 -0.382 -0.497 -0.497 0.342 0.223 0.172 0.172 0.111 0.111 0.038 0.038 -0.045 -0.045 -0.244 -0.244 -0.358 -0.358 -0.481 -0.481 0.431 0.260 0.229 0.228 0.167 0.167 0.092 0.092 3.7E-3 3.7E-3 -0.095 -0.095 -0.205 -0.205 -0.325 -0.325 -0.455 -0.455 -0.744 -0.744 0.539 0.293 0.292 0.292 0.231 0.231 0.153 13 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 9 10 10 11 11 12 12 13 13 14 14 16 16 17 17 18 18 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 9 9 8 8 7 7 6 6 5 5 4 3 2 2 1 1 0 14 13 13 12 12 11 11 10 10 9 9 8 8 7 7 6 6 5 5 4 4 3 15 14 14 13 13 12 12 11 11 10 10 9 9 8 8 7 7 6 6 5 5 4 4 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 9 10 10 11 11 12 12 13 13 14 14 16 16 17 17 18 18 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 10 10 9 9 8 8 7 7 6 6 5 4 3 3 2 2 1 15 14 14 13 13 12 12 11 11 10 10 9 9 8 8 7 7 6 6 5 5 4 16 15 15 14 14 13 13 12 12 11 11 10 10 9 9 8 8 7 7 6 6 5 5 56660.150 56636.710 56636.710 56619.240 56619.240 56605.180 56605.180 56593.160 56593.160 56583.090 56583.090 56566.020 56566.020 56558.840 56558.840 56551.970 56551.970 59823.600 59827.360 59742.760 59742.760 59689.590 59689.590 59652.710 59652.710 59625.950 59625.950 59605.260 59605.260 59589.200 59589.200 59575.870 59575.870 59564.010 59564.010 59554.230 59554.230 59544.970 59544.970 62843.940 62850.930 62750.960 62750.960 62689.100 62689.100 62647.240 62647.240 62616.410 62616.410 62592.700 62592.700 62574.210 62574.210 62559.100 62559.100 62545.780 62545.780 62534.940 62534.940 62524.300 62524.300 62515.600 0.043 -0.299 -0.299 -0.022 -0.022 0.122 0.122 -0.110 -0.110 -0.074 -0.074 -0.160 -0.160 0.125 0.125 0.294 0.294 0.192 0.015 0.332 0.186 0.162 0.159 -0.101 -0.101 -0.120 -0.120 -0.348 -0.348 -0.107 -0.107 0.020 0.020 -0.371 -0.371 -0.094 -0.094 -0.309 -0.309 -0.092 0.154 0.178 -0.101 -0.342 -0.350 0.065 0.065 0.002 0.002 -0.252 -0.252 -0.135 -0.135 0.044 0.044 -0.315 -0.315 0.147 0.147 -0.386 -0.386 0.154 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.20 0.20 0.20 0.20 0.10 0.10 0.20 0.20 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.15 0.15 0.20 0.20 0.20 0.20 0.20 0.15 0.10 0.10 0.15 0.15 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.15 0.15 0.10 0.10 0.15 0.15 0.15 0.3 -2.0 -2.0 -0.1 -0.1 0.8 0.8 -0.7 -0.7 -0.5 -0.5 -0.5 -0.5 0.4 0.4 2.2 2.2 0.6 0.0 2.3 1.3 1.1 1.1 -0.7 -0.7 -0.8 -0.8 -2.3 -2.3 -0.7 -0.7 0.1 0.1 -1.6 -1.6 -0.3 -0.3 -1.0 -1.0 -0.3 0.7 1.2 -0.7 -1.5 -1.6 0.4 0.4 0.0 0.0 -1.7 -1.7 -0.9 -0.9 0.3 0.3 -1.4 -1.4 1.0 1.0 -1.7 -1.7 0.7 -25.637 -27.672 -27.672 -29.922 -29.922 -32.386 -32.386 -35.063 -35.063 -37.955 -37.955 -44.379 -44.379 -47.912 -47.912 -51.658 -51.658 -23.804 -23.810 -25.274 -25.274 -26.970 -26.970 -28.893 -28.893 -31.042 -31.042 -33.418 -33.418 -36.020 -36.020 -38.848 -38.848 -41.902 -41.902 -45.181 -45.181 -48.687 -48.687 -27.067 -27.078 -28.617 -28.618 -30.404 -30.404 -32.430 -32.430 -34.695 -34.695 -37.198 -37.198 -39.940 -39.940 -42.919 -42.919 -46.137 -46.137 -49.593 -49.593 -53.286 -53.286 -57.217 0.146 0.085 0.085 0.017 0.017 -0.056 -0.056 -0.136 -0.136 -0.223 -0.223 -0.415 -0.415 -0.521 -0.521 -0.633 -0.633 0.390 0.390 0.341 0.341 0.285 0.285 0.221 0.221 0.150 0.150 0.071 0.071 -0.015 -0.015 -0.108 -0.108 -0.209 -0.209 -0.317 -0.317 -0.433 -0.433 0.514 0.515 0.457 0.457 0.392 0.392 0.318 0.318 0.236 0.236 0.145 0.145 0.045 0.045 -0.063 -0.063 -0.180 -0.180 -0.305 -0.305 -0.439 -0.439 -0.582 0.153 0.061 0.061 -0.042 -0.042 -0.158 -0.158 -0.284 -0.284 -0.421 -0.421 -0.726 -0.726 -0.893 -0.893 -1.070 -1.070 0.404 0.392 0.363 0.362 0.302 0.302 0.222 0.222 0.128 0.128 0.019 0.019 -0.101 -0.101 -0.234 -0.234 -0.377 -0.377 -0.532 -0.532 -0.698 -0.698 0.479 0.457 0.440 0.439 0.381 0.381 0.300 0.300 0.203 0.203 0.091 0.091 -0.035 -0.035 -0.173 -0.173 -0.324 -0.324 -0.486 -0.486 -0.660 -0.660 -0.845 14 20 20 20 20 20 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 23 23 23 23 23 17 18 18 19 19 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 17 17 18 18 19 19 6 6 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 8 8 10 10 11 3 3 2 2 1 15 14 14 13 13 12 12 11 11 10 10 9 9 8 8 7 5 4 4 3 3 2 17 16 15 14 14 13 13 12 12 11 11 10 10 9 9 8 8 7 7 6 6 5 5 4 4 3 3 2 2 1 16 15 14 13 13 21 21 21 21 21 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 24 24 24 24 24 17 18 18 19 19 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 17 17 18 18 19 19 6 6 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 8 8 10 10 11 4 4 3 3 2 16 15 15 14 14 13 13 12 12 11 11 10 10 9 9 8 6 5 5 4 4 3 18 17 16 15 15 14 14 13 13 12 12 11 11 10 10 9 9 8 8 7 7 6 6 5 5 4 4 3 3 2 17 16 15 14 14 62515.600 62507.120 62507.120 62498.390 62498.390 65762.520 65762.520 65691.940 65691.940 65643.160 65643.160 65608.220 65608.220 65581.400 65581.400 65560.380 65560.380 65542.720 65542.720 65528.280 65528.280 65494.360 65494.360 65484.840 65484.840 65475.550 65475.550 68897.330 68915.300 68696.560 68696.560 68641.210 68641.210 68601.490 68601.490 68570.870 68570.870 68547.280 68547.280 68527.370 68527.370 68511.280 68511.280 68497.340 68497.340 68484.320 68484.320 68473.270 68473.270 68462.850 68462.850 68452.570 68452.570 68443.200 68443.200 68434.650 68434.650 71703.990 71703.990 71595.960 71595.960 71561.370 0.154 0.289 0.289 -0.275 -0.275 0.177 -0.339 0.145 0.129 -0.132 -0.132 0.126 0.126 0.050 0.050 0.166 0.166 -0.204 -0.204 -0.055 -0.055 0.178 0.178 0.152 0.152 -0.182 -0.182 -0.127 -0.356 -0.058 -0.090 -0.047 -0.047 0.291 0.291 0.013 0.013 0.319 0.319 -0.118 -0.118 0.150 0.150 0.336 0.336 -0.181 -0.181 0.083 0.083 0.104 0.104 -0.375 -0.375 -0.406 -0.406 0.056 0.056 -0.058 -0.120 0.164 0.164 -0.159 0.15 0.15 0.15 0.20 0.20 0.15 0.15 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.15 0.15 0.15 0.15 0.15 0.30 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.15 0.20 0.20 0.20 0.20 0.15 0.15 0.10 0.10 0.10 0.7 1.3 1.3 -0.9 -0.9 0.8 -1.5 1.0 0.9 -0.9 -0.9 0.8 0.8 0.3 0.3 1.1 1.1 -1.4 -1.4 -0.4 -0.4 1.2 1.2 0.7 0.7 -0.8 -0.8 -0.6 -0.8 -0.4 -0.6 -0.3 -0.3 2.0 2.0 0.1 0.1 2.2 2.2 -0.8 -0.8 1.0 1.0 1.5 1.5 -0.8 -0.8 0.4 0.4 0.5 0.5 -1.7 -1.7 -1.4 -1.4 0.2 0.2 -0.3 -0.5 1.1 1.1 -1.1 -57.217 -61.385 -61.385 -65.790 -65.790 -32.252 -32.253 -34.131 -34.131 -36.261 -36.261 -38.642 -38.642 -41.274 -41.274 -44.157 -44.157 -47.289 -47.289 -50.672 -50.672 -62.322 -62.322 -66.704 -66.704 -71.336 -71.336 -34.474 -34.501 -38.160 -38.160 -40.395 -40.395 -42.894 -42.894 -45.656 -45.656 -48.681 -48.681 -51.969 -51.969 -55.519 -55.519 -59.332 -59.332 -63.407 -63.407 -67.744 -67.744 -72.343 -72.343 -77.204 -77.204 -82.326 -82.326 -87.711 -87.711 -42.503 -42.503 -47.462 -47.462 -50.356 -0.582 -0.733 -0.733 -0.893 -0.893 0.601 0.601 0.526 0.526 0.441 0.441 0.346 0.346 0.241 0.241 0.127 0.127 2.2E-3 2.2E-3 -0.132 -0.132 -0.594 -0.594 -0.768 -0.768 -0.952 -0.952 0.852 0.853 0.690 0.690 0.593 0.593 0.485 0.485 0.365 0.365 0.234 0.234 0.092 0.092 -0.061 -0.061 -0.226 -0.226 -0.402 -0.402 -0.590 -0.590 -0.789 -0.789 -0.999 -0.999 -1.220 -1.220 -1.453 -1.453 0.891 0.891 0.657 0.657 0.521 -0.845 -1.041 -1.041 -1.247 -1.247 0.524 0.522 0.467 0.467 0.387 0.387 0.287 0.287 0.171 0.171 0.041 0.041 -0.103 -0.103 -0.260 -0.260 -0.805 -0.805 -1.010 -1.010 -1.227 -1.227 0.648 0.587 0.562 0.562 0.482 0.482 0.381 0.381 0.262 0.262 0.127 0.127 -0.023 -0.023 -0.186 -0.186 -0.363 -0.363 -0.553 -0.553 -0.755 -0.755 -0.969 -0.969 -1.195 -1.195 -1.433 -1.433 -1.683 -1.683 0.664 0.663 0.484 0.484 0.362 15 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 23 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 11 12 12 13 13 15 15 16 16 17 17 18 18 20 20 21 21 8 8 9 9 10 10 11 11 14 14 15 15 16 16 17 17 20 20 7 9 9 11 11 12 12 13 13 14 14 17 17 18 18 23 23 24 24 12 12 11 11 10 9 8 8 7 7 6 6 5 4 3 3 2 17 16 16 15 15 14 14 13 11 10 10 9 9 8 8 7 5 4 18 17 16 15 14 14 13 13 12 12 11 9 8 8 7 3 2 2 1 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 11 12 12 13 13 15 15 16 16 17 17 18 18 20 20 21 21 8 8 9 9 10 10 11 11 14 14 15 15 16 16 17 17 20 20 7 9 9 11 11 12 12 13 13 14 14 17 17 18 18 23 23 24 24 rms deviation: 13 13 12 12 11 10 9 9 8 8 7 7 6 5 4 4 3 18 17 17 16 16 15 15 14 12 11 11 10 10 9 9 8 6 5 19 18 17 16 15 15 14 14 13 13 12 10 9 9 8 4 3 3 2 71561.370 71534.700 71534.700 71513.170 71513.170 71478.800 71478.800 71465.200 71465.200 71452.620 71452.620 71441.120 71441.120 71419.940 71419.940 71410.490 71410.490 74714.210 74714.210 74643.250 74643.250 74591.930 74591.930 74553.290 74553.290 74478.480 74478.480 74461.040 74461.040 74446.020 74446.020 74432.340 74432.340 74396.520 74396.520 77848.520 77647.050 77647.050 77546.700 77546.700 77512.570 77512.570 77485.730 77485.730 77463.320 77463.320 77411.830 77411.830 77398.480 77398.480 77340.270 77340.270 77329.940 77329.940 -0.159 0.072 0.072 0.385 0.385 0.007 0.007 0.253 0.253 0.144 0.144 0.100 0.100 -0.218 -0.218 0.094 0.094 -0.016 -0.132 0.124 0.120 -0.031 -0.031 -0.135 -0.135 -0.020 -0.020 -0.031 -0.031 0.241 0.241 0.276 0.276 -0.304 -0.304 -0.045 -0.187 -0.194 0.096 0.096 -0.341 -0.341 0.005 0.005 0.184 0.184 -0.140 -0.140 0.214 0.214 -0.222 -0.222 -0.018 -0.018 0.10 0.20 0.20 0.20 0.20 0.15 0.15 0.15 0.15 0.20 0.20 0.15 0.15 0.10 0.10 0.15 0.15 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.15 0.15 0.15 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.10 0.15 0.15 0.15 0.15 -1.1 0.2 0.2 1.3 1.3 0.0 0.0 1.1 1.1 0.5 0.5 0.4 0.4 -1.5 -1.5 0.4 0.4 -0.1 -0.9 0.9 0.8 -0.2 -0.2 -0.9 -0.9 -0.1 -0.1 -0.2 -0.2 1.6 1.6 1.9 1.9 -1.4 -1.4 -0.2 -1.4 -1.4 0.7 0.7 -2.4 -2.4 0.0 0.0 1.3 1.3 -1.0 -1.0 1.5 1.5 -1.1 -1.1 -0.1 -0.1 -50.356 -53.525 -53.525 -56.969 -56.969 -64.682 -64.682 -68.951 -68.951 -73.494 -73.494 -78.312 -78.312 -88.771 -88.771 -94.411 -94.411 -47.168 -47.169 -49.617 -49.617 -52.356 -52.356 -55.382 -55.382 -66.189 -66.189 -70.367 -70.367 -74.832 -74.832 -79.584 -79.584 -95.562 -95.562 -49.920 -54.725 -54.725 -60.745 -60.745 -64.207 -64.207 -67.970 -67.970 -72.032 -72.032 -86.022 -86.022 -91.285 -91.285 -122.090 -122.090 -129.147 -129.147 0.521 0.372 0.372 0.211 0.211 -0.151 -0.151 -0.351 -0.351 -0.564 -0.564 -0.790 -0.790 -1.280 -1.280 -1.545 -1.545 1.133 1.133 1.008 1.008 0.868 0.868 0.714 0.714 0.166 0.166 -0.045 -0.045 -0.272 -0.272 -0.512 -0.512 -1.322 -1.322 1.549 1.281 1.281 0.950 0.950 0.761 0.761 0.555 0.555 0.334 0.334 -0.430 -0.430 -0.717 -0.717 -2.399 -2.399 -2.785 -2.785 0.362 0.223 0.223 0.068 0.068 -0.285 -0.285 -0.483 -0.483 -0.693 -0.693 -0.917 -0.917 -1.401 -1.401 -1.661 -1.661 0.774 0.773 0.699 0.699 0.597 0.597 0.473 0.473 -5.1E-3 -5.1E-3 -0.196 -0.196 -0.401 -0.401 -0.620 -0.620 -1.357 -1.357 0.900 0.821 0.821 0.595 0.595 0.449 0.449 0.284 0.284 0.103 0.103 -0.535 -0.535 -0.776 -0.776 -2.185 -2.185 -2.505 -2.505 1.5097 16 Rotational constants (MHz) and kappa: 5737.3 1592.3073 +5.1 0.065 1384.1152 0.066 -0.90435 0.00006 Inertial constants and defect (uÅ**2): 88.086 317.38790 +0.078 0.013 365.12791 0.017 -40.3 0.1 0.0137 fixed 1.95 fixed 0 fixed 0 fixed Quartic distortion constants: 0.65554 2.5976 +0.0061 0.015 6.46 fixed Sextic and higher distortion constants: 0.02715 -0.11661 0 +0.0048 0.013 fixed 0 fixed 0 fixed Significant Digits and Correlation Matrix: 5 0.984 8 -0.979 -0.997 8 0.012 0.080 -0.019 5 -0.125 -0.212 0.226 -0.391 5 0.040 0.099 -0.047 0.965 -0.531 4 -0.117 -0.173 0.183 -0.374 0.964 -0.549 5 17 References (1) Watson, J. K. G. Vibrational Spectra and Structure; Elsevier: Amsterdam, 1977; Vol. 6. (2) York, 1964. Hamilton, W. C. Statistics in Physical Science; The Ronald Press Company: New 18