The Türker angles $\theta, \alpha$ and $\beta$ are quantities invented by Lemi Türker, and are used in the theory of total $\pi$-electron energy $(E)$ of unsaturated conjugated hydrocarbons. We report here expressions for $\theta, \alpha$ and $\beta$ in terms of $E$ and the parameters $n$ (= half the number of carbon atoms) and $e$ (= the number of carbon-carbon bonds). The forms of these expressions are remarkably similar. Numerical calculation performed on a representative set of benzenoid hydrocarbons reveals that the dependence of the angles $\alpha$ and $\beta$ on molecular structure is very similar, and that their ratio is almost constant $(\alpha/\beta \approx 1.564 \pm 0.015)$.
GUTMAN, Ivan (1998) "On the Türker Angles in the Theory of Total \pi-Electron Energy," Turkish Journal of Chemistry: Vol. 22: No. 4, Article 13. Available at: https://journals.tubitak.gov.tr/chem/vol22/iss4/13