Question
Estimating this quantity around known points in the Brillouin (“bree-WANN”) zone is one of the uses of k-dot-p perturbation theory. For 10 points each:
[10h] Name this quantity, which can be negative due to its inverse relationship with the second derivative of energy with respect to wave number. This quantity is equal to its simpler counterpart for a free electron.
ANSWER: effective mass [accept m*; prompt on mass; prompt on m]
[10e] Effective mass can be derived more easily when “relations” named for this phenomenon are approximated as parabolic. In a prism, this phenomenon refracts white light into a rainbow.
ANSWER: dispersion [accept dispersion relations]
[10m] One can replace mass with effective mass in this model, which describes the behavior of electron gas using kinetic theory. This model is more appropriate for metals compared to the similar free electron model.
ANSWER: Drude model [reject “Drude-Sommerfeld model”]
<Ezra Santos, Physics>
Summary
| 2024 Penn Bowl Berkeley | 11/02/2024 | Y | 2 | 10.00 | 100% | 0% | 0% |
| 2024 Penn Bowl CWRU | 11/02/2024 | Y | 3 | 13.33 | 100% | 33% | 0% |
| 2024 Penn Bowl Chicago | 11/02/2024 | Y | 8 | 12.50 | 75% | 38% | 13% |
| 2024 Penn Bowl Florida | 10/26/2024 | Y | 2 | 5.00 | 50% | 0% | 0% |
| 2024 Penn Bowl Harvard | 10/26/2024 | Y | 2 | 15.00 | 100% | 50% | 0% |
| 2024 Penn Bowl Mainsite | 11/02/2024 | Y | 3 | 3.33 | 33% | 0% | 0% |
| 2024 Penn Bowl Texas | 11/02/2024 | Y | 2 | 5.00 | 0% | 50% | 0% |
| 2024 Penn Bowl UK | 10/26/2024 | Y | 5 | 16.00 | 80% | 40% | 40% |
| 2024 Penn Bowl UNC | 10/26/2024 | Y | 3 | 23.33 | 100% | 67% | 67% |