an atom has 3 non-degenerate E levels, = 0, e, 2e What is the prob of occupancy of each energy level as T-> zero and infinty and why? for E=0 I imagine that the prob for T->0, is 1 is one or approaching one as as the temp approaches absolute zero electrons occupy the lowest state as T->infinity, i thought at first that the prob would approach zero as i would think everything would be more likely to occupy higher levels. but then i think i read somewhere that as T->inf. the prob for each level is equal. for the others i thought to use boltzmann so for E=e.......prob = (1/kT)exp[-e/kT] E=2e.......prob = (1/2kT)exp[-2e/kT] but wouldn't this give the same answers?