1. Consider a diatomic molecule (iike O2 ) in air. The bond befween the two atoms acts very much like a spring: the two atoms can vibrate back and forth along the line joining them. But since atoms in a molecule are quantum systems, in fact, not every energy is permitted to the vibrating system. Only a discrete set of energies are allowed as indicated on the graph of a spring potential energy shown here. The allowed energies, (E0,E1,E2,) are equally spaced, with the gap between the states equal to , a constant determined by the strength of the interaction and the masses of the atoms. d. At what temperature (in K ) would the probability of finding the molecule in its first excited state be) equal to 20% of the probability of finding it in its ground state? (in other words, it's five times more likely to find the molecule in the ground state than in the first excited state.) e. At the temperature found in part d, are there any other energies that would have a probability of being found (relative to the ground state) that is greater than 1%