Summary: The computed geometries of a class of 10-p-annulenes containing two heteroatoms, which exhibit an acutely sensitive balance between p and s influences upon ring planarity, reveal that the recent KMLYP hybridisation of the exchange functional in the DFT method is qualitatively superior to the more commonly used B3LYP hybrid for modelling the aromaticity of such systems.
B3LYP/KMLYP 6-31G(d) Energy, Hartree NICS(0), ppm [B3LYP/KMLYP] |
Crystal Geometry: length, Å [dihedral, degrees] |
Geometry (B3LYP) | Geometry (KMLYP) |
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4, X=Y=O, R=H |
-382.59901/ -381.82874 [-8.2/-7.3] | planar [0.0/00.0] | |
4, X=Y=O17 -724.75782/-723.29019a,b [-7.5/0.1] |
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4, X=Y=O17 955.53210/-954.11459 [-7.7/-7.0] |
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4, X=Y=NH18 -342.89994/-342.21433 [-12.9/-12.5] |
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4, X=Y=N-TMS18 -1160.27700/-1158.59120 [-11.3/-10.8] |
Reported as planar |
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4,
X=Y=N-CONMe219 -837.52547/-835.89800 [-8.5/-6.0] |
Reported as planar |
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4, X=Y=NCO2Me19 -798.64839/-797.07613 [-6.0/-1.3] |
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4,
X=Y=N-SO2Me18 -1518.65134/-1516.49681c,d [-9.6/-7.4] |
Reported as twisted |
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5,
X=Y=N-Acetyl24 -1715.32163/-1712.39694 [-0.8/-0.6] |
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4, X=O, Y=N,
R'=(3,4,5-trimethoxybenzyl)20 -976.66132/-974.75355 [-10.0/-9.2] |
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4, X=O, Y=N-Tosyl20 -1181.67739/-1179.74661e,f [-8.9/-7.6] |
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4, X=Y=S21 -1256.41893/-1254.75146 [-2.5/-2.4] |
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4, X=Y=S22 -1260.83295/-1259.16593 [-2.2/-2.0] |
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4, X=S, Y=O23 -2852.64265/-2849.43451 [-2.17/-2.1] |
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4, X=O, X=S -705.57218/-704.57509g [-9.2/-1.2 ] |
unknown |
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4, X=CH-,
X=S -669.09512/-668.17759[-14.1/-14.6] |
Diatropic by NMR25 |
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4, X=CH-, X=O
-346.1104603/-345.4187586[-13.5/-13.5] |
Diatropic by NMR18 | ||
4, X=CH-, X=NH
-326.249677/-325.60088 [-15.8/-16.3] |
Diatropic by NMR18 | ||
6, X=Y=Z=NH -320.79828/-320.16244 [-8.2/-7.4] | Unknown | 36.7 | 12.5 |
aCorrected for DG: -723.15206, Total energy (MP2): -722.61300 bPlanar valence isomer; total energy (KMLYP/MP2) -723.29133/722.61166. Corrected for DG(KMLYP): -723.14989, NICS(KMLYP) = -6.1. c Total energy (MP2): -1515.42207 d Non-planar isomer (MP2); -1515.42046, C3-X4-C5-C6 dihedral = 82.5o. e Corrected for DG: -1179.53934. Total energy (MP2); -1139.55775. fNon-planar isomer; total energy (KMLYP/MP2) -1179.74319/-1139.55812 Corrected for DG(KMLYP): -1179.53740. NICS(KMLYP) =-1.2. C3-X4-C5-C6 dihedral (KMLYP) = 82.5o. gValence isomers; total energy (B3LYP/KMLYP) -705.56747/-704.57398 [-1.6/-8.6]. Transition state for interconversion (KMLYP): -704.57242 [-4.1] |