Quantum Dot 124 A quantum dot is a small structure of atoms, usually about a nm in size. Consider a quantum dot with a single ground state (with energy Eo = 0 eV), and a doubly degenerate first excited state with energy E = 0.1 eV; the relevant energy levels are shown below. Note that the energy splitting between the two first excited states is exaggerated in the figure for clarity; assume they have exactly the same energy. 2 states 1 state 1) At T = 300 K what is the probability that a dot will be in either one of the two states at 0.1 eV? 1 Submit Your submissions: 1 X Computed value: 1 Submitted: Friday, November 17 at 12:59 PM Feedback: 2) What is the probability that the dot will be in the ground (lowest energy) state for very high T, i.e., as T approaches infinity? You can assume there are no other states possible than those listed. 1 Submit Your submissions: 1 Computed value: 1 Submitted: Friday, November 17 at 12:59 PM Feedback: 3) For what temperature will about half of the dots be in their ground state, and half be excited? 1673 Submit 4) What is the entropy of a collection of N such dots at very low temperatures (T almost 0)? 0.3333333 Submit Your submissions: 0.3333333 X Computed value: 0.3333333 Submitted: Friday, November 17 at 12:59 PM Feedback: K J/K