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Table B.1.

Theoretical values for the vibrational excited states of HC9N calculated at B3LYP/cc-pVTZ and MP2/cc-pVTZ levels of theory under the anharmonic approach.

αi (MHz) Bν (MHz) (a) (MHz) Frequency (cm−1)

Vib. State Sim. B3LYP MP2 B3LYP B3LYP B3LYP MP2 B3LYP MP2
ν1 σ 0.07761 0.07485 290.44071 290.44347 3336 3348
ν2 σ 0.40988 0.52794 290.10844 289.99038 2296 2142
ν3 σ 0.48562 0.47154 290.03270 290.04678 2253 2090
ν4 σ 0.62642 0.60274 289.89190 289.91558 2182 2023
ν5 σ 0.34994 0.33200 290.16838 290.18632 2173 2028
ν6 σ 0.29256 0.33625 290.22576 290.18207 2088 1956
ν7 σ 0.50556 0.47858 290.01276 290.03974 1406 1383
ν8 σ 0.31723 0.30450 290.20109 290.21382 1128 1098
ν9 σ 0.19501 0.18891 290.32331 290.32941 737 744
ν10 σ 0.08457 0.08156 290.43375 290.43676 377 365
ν11 π –0.03612 –0.03210 290.55444 290.55042 0.0101 0.0103 653 601
ν12 π –0.22177 –0.25210 290.74009 290.77042 0.0128 0.0134 545 459
ν13 π –0.18431 –0.20526 290.70263 290.72358 0.0138 0.0139 535 491
ν14 π –0.19463 –0.19918 290.71295 290.71750 0.0143 0.0145 510 477
ν15 π –0.21125 –0.22289 290.72957 290.74121 0.0161 0.0160 450 430
ν16 π –0.27911 –0.28303 290.79743 290.80135 0.0205 0.0208 309 285
ν17 π –0.27102 –0.26584 290.78934 290.78416 0.0300 0.0298 208 198
ν18 π –0.29291 –0.28753 290.81123 290.80585 0.0537 0.0530 122 110
ν19 π –0.35317 –0.34513 290.87149 290.86345 0.1408 0.1378 55 47

Exp. (ν19) (b) 290.884436 (345) 0.146310(133) 50 (d)

Error (c) 0.004% 0.007% 3.8% 5.8% 10.0% 6.0%

Notes. (a)Rotational constant B of the vibrational state ν calculated using the experimental value of the ground state from Iida et al. (1991). (b)Experimental values obtained form a fit to the frequencies observed in this work (see Table A.2). (c)Discrepancies between theoretical calculations and experimental values for the vibrational excited state ν19. Values calculated as follows: ((Exp  −  Theo) / Exp)  ×  100. (d)Calculated using the approximation , where ων is the frequency of the vibrational state ν and Bν and qνt are its rotational and l-doubling constants, respectively.

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