Abstract
By assigning two π-electrons of CC double bonds in a Kekule valence structure to a benzene ring if not shared by adjacent rings and one π-electron if CC double bond is shared by two rings we arrived at numerical valence formulas for benzenoid hydrocarbons. We refer to numerical Kekule formulas as algebraic Kekule valence formulas to contrast them to the traditional geometrical Kekule valences formulas. The average over all numerical Kekule valence structures results in a single numerical structure when a benzenoid hydrocarbon molecule is considered. By ignoring numerical values the novel quantitative formula transforms into a qualitative one which can replace incorrectly used notation of π-electron sextets to indicate aromatic benzenoids by placing inscribed circles in adjacent ringswhich contradicts Clar's characterization of benzenoid hydrocarbons.
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