# Chemical Sciences: A Manual for CSIR-UGC National Eligibility Test for Lectureship and JRF/Aromatic ring current

A diagram of an aromatic ring current. B0 is the applied magnetic field, the red arrow indicating its direction. The orange ring shows the direction of the ring current, and the purple rings show the direction of the induced magnetic field.

An aromatic ring current is an effect observed in aromatic molecules such as benzene and naphthalene. If a magnetic field is directed perpendicular to the plane of the aromatic system, a ring current is induced in the delocalized π electrons of the aromatic ring.[1] This is a direct consequence of Ampère's law; since the electrons involved are free to circulate, rather than being localized in bonds as they would be in most non-aromatic molecules, they respond much more strongly to the magnetic field.

Aromatic ring currents are relevant to NMR spectroscopy, as they dramatically influence the chemical shifts of 13C and 1H nuclei in aromatic molecules,[2] as well as in any organic or inorganic aromatic molecule. The effect helps distinguish these nuclear environments and is therefore of great use in molecular structure determination. In benzene, the ring protons experience deshielding because the induced magnetic field has the same direction as the external field and their chemical shift is 7.3 ppm compared to 5.6 to the vinylic proton in cyclohexene. In contrast any proton inside the aromatic ring experiences shielding because both fields are in opposite direction. This effect can be observed in cyclooctadecanonaene ([18]annulene) with 6 inner protons at −3 ppm.

The situation is reversed in antiaromatic compounds. In the dianion of [18]annulene the inner protons are strongly deshielded at 20.8 ppm and 29.5 ppm with the outer electrons significantly shielded (with respect to the reference) at −1.1 ppm. Hence a diamagnetic ring current or diatropic ring current is associated with aromaticity whereas a paratropic ring current signals antiaromaticity.

A similar effect is observed in three-dimensional fullerenes; in this case it is called a sphere current [3].

## Relative aromaticity

 Selected NICS values[4] / ppm Pyrrole −15.1 Thiophene −13.6 Furan −12.3 naphthalene −9.9 Benzene −9.7 Tropylium −7.6 Cyclopentadiene −3.2 Cyclohexane −2.2 Pentalene 18.1 Heptalene 22.7 Cyclobutadiene 27.6

Numerous attempts have been made to quantify aromaticity with respect to the observed ring current.[5] One method is called diamagnetic susceptibility exaltation Λ defined as the difference between the measured magnetic susceptibility of a compound and a calculated value based on group additivity tables. Benzene is clearly aromatic (Λ = −13.4), borazine (Λ = −1.7) and cyclohexane (Λ = 1.1) are not aromatic and cyclobutadiene (Λ = +18) is antiaromatic.

Another measurable quantity is the chemical shift of lithium ions Li+ in complexes of lithium with aromats because lithium tends to coordinate to the face of the aromatic rings. Thus the lithium atom in cyclopentadienyl lithium (CpLi) has a chemical shift of −8.6 ppm (aromatic) and its Cp2Li- complex a shift of −13.1.

Both methods suffer from the disadvantage that values depend on ring size. The nucleus-independent chemical shift (NICS) is a computational method that calculates the chemical shift of a hypothetical lithium ion positioned directly inside the ring[4]. In this method negative NICS values indicate aromaticity and positive values antiaromaticity.

Yet another method called the harmonic oscillator model of aromaticity (HOMA) [6] is defined as a normalized sum of squared deviations of bond lengths from the optimal value, which is assumed to be realized for a fully aromatic system [7]. An aromat has HOMA value 1 whereas a non-aromatic compound has value 0. For all-carbon systems, a HOMA value is obtained making use of this equation:

${\displaystyle \mathrm {HOMA} =1-257.7\sum _{i}^{n}(d_{\rm {opt}}-d_{i})^{2}\,,}$

with the value of 257.7 the normalization value, dopt the optimized bond length (1.388 angstrom) and di the experimental or computed bond length.

## References

1. The induced magnetic field in cyclic molecules. Merino, G.; Heine, T.; Seifert, G. Chem. Eur. J.; 2004; 10; 4367-4371. Template:DOI
2. Aromaticity and Ring Currents Gomes, J. A. N. F.; Mallion, R. B. Chem. Rev.; (Review); 2001; 101(5); 1349-1384. Template:DOI
3. Sphere Currents of Buckminsterfullerene, Mikael P. Johansson, Jonas Jusélius, and Dage Sundholm, Angew. Chem. Int. Ed., Vol. 44, No. 12, pp. 1843-1846, 2005 Template:DOI
4. a b Nucleus-Independent Chemical Shifts: A Simple and Efficient Aromaticity Probe Paul von Ragué Schleyer, Christoph Maerker, Alk Dransfeld, Haijun Jiao, and Nicolaas J. R. van Eikema Hommes J. Am. Chem. Soc.; 1996; 118(26) pp 6317-6318; (Communication) Template:DOI
5. What is aromaticity? Paul von Rage Schleyer and Haijun Jiao Pure & Appl. Chem., Vol. 68, No. 2, pp. 209-218, 1996 Link
6. Definition of aromaticity basing on the harmonic oscillator model Tetrahedron Letters, Volume 13, Issue 36, 1972, Pages 3839-3842 J. Kruszewski and T. M. Krygowski Template:DOI
7. How far is the π-electron delocalization of the phenanthrene moiety modified in the aza-analogues and their N-oxides? Beata T. Stępień, Tadeusz M. Krygowski,a Michał K. Cyrański, Jacek Młochowski, Pierluigi Orioli, and Francesco Abbate Arkivoc 2003 Link