ON THE TURKER ANGLES IN THE THEORY OF TOTAL PI-ELECTRON ENERGY

The Turker angles theta,alpha and beta are quantities invented by Lemi Turker, and are used in the theory of total n-electron energy (E) of unsaturated conjugated hydrocarbons. We report here expressions for th eta,alpha and beta in terms of E and the parameters n (= half the numb er of carbon atoms) and e (= the number of carbon-carbon bonds). The f orms of these expressions are remarkably similar. Numerical calculatio n performed on a representative set of benzenoid hydrocarbons reveals that the dependence of the angles alpha and beta on molecular structur e is very similar, and that their ratio is almost constant (alpha/beta approximate to 1.564 +/- 0.015).