Abstract In this paper an order on the set of embedded coalitions is studied in detail. This allows us to define new notions superaddivity and convexity games partition function form which are compared other proposals literature. The main results two characterizations convexity. first one uses non-decreasing contributions increasing size can thus be considered parallel classic result for cooper...

In this work, the reparameterized Scarf II oscillator was employed to describe internal vibration of diatomic systems. Analytical equations for bound state pure vibrational energies and canonical partition function were obtained. The used derive statistical-mechanical models prediction molar entropy, enthalpy, Gibbs free energy constant pressure (isobaric) heat capacity gaseous substances. obta...