Atomic Valence Stability by Golden Ratio Imbalance

2 ATOMIC VALENCE STABILITY BY GOLDEN RATIO IMBALANCE 

Atomic stability and periodicity remain major issues in the structural theories of matter fortunately, they both have been largely solved by wave-particle (W/P) complementarily quantum behavior phenomenologically, such relationship can be expressed as WAVE PARTICLE = constant, while it may be quantized (by Planck s constant h) in the light of Heisenberg principle as (Putz, 2010, 2012) 

Remarkably, when fixing the particle s observable property, say O, while letting wave information to vary, say AO, Eq. (2.1) takes the workable form 

However, when about the atomic chemical reactivity a similar analysis may be provided in terms of the number of electrons to atomic number ratio N/Z) one may fix the observable ( particle ) character of the reactive atomic system by the ratio itself 

When combining Eqs. (2.3) and (2.4) into Eq. (2.2) on the lowest quantized state (X. = 1, the ground state of atomic reactivity that is the 

---

Atomic Valence Stability by Golden Ratio Imbalance.66... 

---