From 4e2fe58f21aef3283a47ab44a8b8250c0bd501cc Mon Sep 17 00:00:00 2001 From: hackbard Date: Tue, 8 Jan 2008 12:25:41 +0100 Subject: [PATCH] finished excercise 2 --- solid_state_physics/tutorial/1_05s.tex | 24 ++++++++++++++++-------- 1 file changed, 16 insertions(+), 8 deletions(-) diff --git a/solid_state_physics/tutorial/1_05s.tex b/solid_state_physics/tutorial/1_05s.tex index 39d9bdd..9c3b707 100644 --- a/solid_state_physics/tutorial/1_05s.tex +++ b/solid_state_physics/tutorial/1_05s.tex @@ -78,19 +78,27 @@ \item \end{enumerate} -\section{'Density of state mass' of electrons and holes in silicon} +\section{'Density of state mass' of holes in silicon} \begin{enumerate} \item $D_v(E)=\frac{1}{2\pi^2}(\frac{2}{\hbar^2})^{3/2} (m_{pl}^{3/2}+m_{ph}^{3/2})(E_v-E)^{1/2}$ - \item + \item $D_v(E)=\frac{1}{2\pi^2}(\frac{2m_p}{\hbar^2})^{3/2} + (E_v-E)^{1/2}$, with + $m_p=(m_{vh}^{3/2}+m_{vl}^{3/2})^{2/3}$\\ + $m_{vh}=0.49 \, m_e$, $m_{vl}=0.16 \, m_e$ + $\Rightarrow$ + $m_p=\ldots=0.55 \, m_e$ \end{enumerate} -\begin{center} -{\Large\bf - Merry Christmas\\ - \&\\ - Happy New Year!} -\end{center} +Remarks: +\begin{itemize} + \item Operand for calculating the density of states using the + standard density of states expression near the band edge. + \item No such charge carriers which have the effective mass $m_p$ + exist in silicon. + Concerning transport properties the effective masses have to be + treated separately. +\end{itemize} \end{document} -- 2.20.1