ELECTRONEGATIVITY: EXPECTATION VALUE OF POWER OF AN ATOM IN A MOLECULE.

Advancing theory of electronegativity , new approach is established by the study of binding (or bonding) state in between two homo- atoms or hetero- atoms. Electronegativity is a confused as it is sandwiched among three entities such as i) energy ii) force iii) Charge. This paper interprets that Electronegativity (χ) is the expectation value of attracting or holding power of electron an atom in either of homo-atomic or hetro-atomic system. This value has been described in terms of von Neuman -minimax theorem: χ(maxA . min B) =χ (min A. max B) where max A and max B stands for atom?s maximum ability and min A and min B stands for atom?s minimum ability . Three structures(i)AB(Covalent structure) ;mini-max theorem,(ii)A+B-(ionic structure);right-side of mini-max theorem, (iii)A-B+(ionic structure);left-side of theorem for giving mathematical formulation electronegativity are established.Hellmann-Feynman force as an expectation value for electronegativity is established.