화학공학소재연구정보센터
Journal of Physical Chemistry A, Vol.106, No.32, 7369-7375, 2002
Proton spin-spin coupling and electron delocalization
The spin-spin coupling of protons measured by the constant J(HH), in NMR experiments is dominated by a term proportional to the product of the electron spin densities at the two nuclei, the Fermi contact term. The probability of beta electrons being in excess over alpha electrons at the position of nucleus n', given that there is an alpha election at n, is proportional to the negative of the exchange density, the total Fermi correlation between n and n'. Thus the delocalization of the Fermi hole between n and n' is the, mechanism whereby the spin perturbation caused by the magnetic interaction of an electron with nucleus n is transmitted to n'. The density and exchange density within the basin of a hydrogen atom are described primarily in terms of s-type basis functions, and one may approximate the exchange density between two protons at n and n' by the exchange between the two associated atomic basins determined by the delocalization index delta(A,B) within the quantum theory of atoms in molecules. It is shown that this model yields good linear regression equations relating J(HH), to delta(H,H') for hydrogen atoms bonded to different carbons in alkanes, alkenes, their cyclic congeners, and polybenzenoid hydrocarbons.