An analytical representation of atom valence state energy (E(n, ), j = 1,. . .4; E(n,) is a nonlinear function of orbital occupancy numbers n,) is proposed and explicitly derived for H-Ar; the values of electronegativity calculated based on E(n,) agree within truncation error with those of Hinze and Jaffe.However, in our representation, orbital electronegativity x and hardness parameters r) of a given orbital always include nonlinear contributions from other orbitals, hence accounting for their influence on x and r). An atomic charge calculation procedure based on E(n,) is also described and shown to perform well.