PRACTICAL VERSION OF THE ASYMPTOTIC LINEARITY THEOREM WITH APPLICATIONS TO THE ADDITIVITY PROBLEMS OF THERMODYNAMIC QUANTITIES

By using fundamental notions and theorems of the Lesbesgue integral, a practical version of the Asymptotic Linearity Theorem has been derive d. From this new version of the theorem, it easily follows that the th eorem is also applicable to the additivity problems of thermodynamic q uantities of molecules having many identical moieties, as well as to t hose of the zero-point vibrational energy of hydrocarbons and the tota l pi-electron energies of alternant hydrocarbons.