A quantum dot can be thought of as essentially a man-made atom.Consider a 2-dimensional dot (effectively an electron in a squareinfinite well), with a single ground state (with energy Eo = 0.04eV), and a double degenerate first excited state (with energy E1 =0.1eV); the relevant energy levels are shoen below.

1. At T=300K what is the probability that a dot will be excited?
0.02
0.08
0.16
0.4
0.67
2. What is the probability that the dot will be in the groundstate for very high T, i.e., as T approaches infinity?
0
1/3
1/2
3. For what temperature will about half of the dots be in theirground state, and half in one of the first excited states ?
T = 100K
T = 1000K
There is no temperature at which this canoccur.
4. What is the entropy of a collection of N such dots at verylow temperatures (T-->0) ?
