Accurate determination of the structure of cyclohexane by femtosecond rotational coherence spectroscopy and ab initio calculations

Three Queries about the HOMA Index

HOMA (Harmonic Oscillator Model of Aromaticity) is a simple, successful, and widely used geometrical aromaticity index. However, HOMA can also be used as a general molecular descriptor appropriate for any type of molecule. It reaches the global maximum for benzene, whereas the potent magnetic aromaticity NICS index has no lower or upper limits. Hence, questions arise and go beyond mere differences between the geometric and magnetic aspects of aromaticity: (1) Does a molecule of aromaticity greater than that of benzene, but undisclosed by the HOMA definition, exist? (2) Can the Kekuléne cyclohexatriene moiety with HOMA = 0 exist as a part of a larger system? (3) Can the geometrical aromaticity index be defined better? Our answer to the first query is "It is not likely enough", to the second, "Why not define HOMA using a less mysterious molecule than cyclohexatriene?", and to the third, "It is possible to construct another fair geometrical index, but is it better for evaluating aromaticity?" To find these answers, we have studied: (1) the HOMA and NICS indices of over 50 hexahomosubstituted benzenes, (2) the HOMA, as well as EN and GEO, indices of over 100 triply fused hexasubstituted benzenes, and (3) the HOMA and new Geometrical Auxiliary Index (GAI) , of different unsaturated and saturated, aromatic and aliphatic hydrocarbons including all alkane constitutional isomers composed of up to nine carbon atoms.

Accurate gas-phase structure of para-dioxane by fs Raman rotational coherence spectroscopy and ab initio calculations

p-Dioxane is non-polar, hence its rotational constants cannot be determined by microwave rotational coherence spectroscopy (RCS). We perform high-resolution gas-phase rotational spectroscopy of para-dioxane-h₈ and -d₈ using femtosecond time-resolved Raman RCS in a gas cell at T = 293 K and in a pulsed supersonic jet at T∼130 K. The inertial tensor of p-dioxane-h₈ is strongly asymmetric, leading to a large number of asymmetry transients in its RCS spectrum. In contrast, the d₈-isotopomer is a near-oblate symmetric top that exhibits a much more regular RCS spectrum with few asymmetry transients. Fitting the fs Raman RCS transients of p-dioxane-h₈ to an asymmetric-top model yields the ground-state rotational constants A₀ = 5084.4(5) MHz, B₀ = 4684(1) MHz, C₀ = 2744.7(8) MHz, and (A₀ + B₀)/2 = 4884.5(7) MHz (±1σ). The analogous values for p-dioxane-d₈ are A₀ = 4083(2) MHz, B₀ = 3925(4) MHz, C₀ = 2347.1(6) MHz, and (A₀ + B₀)/2 = 4002.4(6) MHz. We determine the molecular structure with a semi-experimental approach involving the highly correlated coupled-cluster singles, doubles and iterated triples method and the cc-pCVXZ basis set series from double- to quadruple-zeta (X = D, T, Q). Combining the calculated vibrationally averaged rotational constants A₀^calc(X),B₀^calc(X),C₀^calc(X) for increasing basis-set size X with non-linear extrapolation to the experimental constants A₀^exp,B₀^exp,C₀^exp allows to determine the equilibrium ground state structure of p-dioxane. For instance, the equilibrium C-C and C-O bond lengths are r_e(CC) = 1.5135(3) Å and r_e(CO) = 1.4168(4) Å, and the four axial C-H bond lengths are 0.008 Å longer than the four equatorial ones. The latter is ascribed to the trans-effect (anomeric effect), i.e., the partial delocalization of the electron lone-pairs on the O atoms that are oriented trans, relative to the axial CH bonds.

Corannulene and its complex with water: a tiny cup of water

We report the results of a broadband rotational spectroscopic study of corannulene, C₂₀H₁₀, all of its singly substituted ¹³C isotopologues, and a complex of corannulene with one molecule of water.

Quantum chemical study of the equatorial/axial exchange of different substituents in nitrogen and phosphorous-containing 6-membered rings: Role of charge transfer interactions

Understanding the nature of equatorial/axial conversion in six-membered rings is important because of involvement of these motifs in some biological systems. In this work we have studied the equatorial/axial exchange of nitrogen and phosphorous bearing six-membered rings with different representative substituents by using quantum chemistry methods. Three possible routes, i.e. heteroatom inversion and two ring flipping modes were considered. The feasibility of equatorial/axial conversion (based on ΔE#) for the substituted piperidine rings with substituents was in the following order; H > CH 3> Cl ~ OH ~ F , whereas for the phosphorous bearing six-membered rings it was H ~ F > OH > Cl ~ CH 3. In the piperidine system hydrogen and methyl substituents preferred the atom inversion route while the other substituents ( Cl , F , OH ) favored C4 site ring flipping in equatorial/axial conversion. For the phosphorous bearing rings, however, phosphorous retards the atom inversion mechanism and heteroatom site ring flipping is the preferred route for all substituents. We demonstrate that charge transfer effect is one of the key factors that determines the favored route in the presence of various substituents. We show how wave function analysis by natural bond orbital (NBO) method can be used as a straightforward technique to explain the most favored route in the equatorial/axial conversion of substituted 6-membered rings.