Nuclear energy level distribution has been discussed and some mathematical models which 
describes the energy level distribution of the protons and neutrons for the even protons and 
even neutrons number, also the Yrast line has been introduced. Ruthenium isotopes 100Ru 
and 102Ru energy level distribution have been calculated by the nuclear softness model,
variable moment of inertia model, Anharmonic vibrator- model (AVM1 and AVM2), 
exponential model (exp- model) and interaction boson model (IBM) in O6. Experimental 
results have been used to calculate the unknown factors of the used equations. Finally, the 
energy levels have been calculated for both isotopes and the higher energy levels which needs 
very high energetic bombardment to the nuclei if we need to get it experimentally.