diff --git a/src/14_doping_and_devices_solutions.md b/src/14_doping_and_devices_solutions.md index bcf0bc7d45c944cb4b3dc832aeccccf8ec4a4d7d..f4d218b078c19fe5e3741c0bf2a9d18545dcb707 100644 --- a/src/14_doping_and_devices_solutions.md +++ b/src/14_doping_and_devices_solutions.md @@ -92,7 +92,7 @@ $$ I_s(T) \propto e^{-E_{gap}/k_BT}$$ ### Subquestion 1  - +* Include the energy bands here. You can find them at the book's section 18.2 ### Subquestion 2 This a "particle in a box" problem. @@ -114,6 +114,8 @@ $$g_h = \frac{4 \pi m_h^{\ast}}{\hbar^2}$$ L can be found here for $k_x$ and $k_y$ using previous subquestions. Setting $$ E_e - E_h - E_c + E_v = 1 eV = \frac{\hbar^2 (k_x^2+k_y^2)}{2} (\frac{1}{m_e^{\ast}}+\frac{1}{m_h^{\ast}})$$ +Taking $k_x^2+k_y^2=(\frac{\pi}{L})^2$, L can be found as $6.85$ nm approx. + ### Subquestion 6