diff --git a/10_mos.tex b/10_mos.tex
index f7ded36911b2c25d354783cf7d95830207e66479..8a14cbb07c8c8dc4a658185a04e3814b9adf61db 100644
--- a/10_mos.tex
+++ b/10_mos.tex
@@ -1,3 +1,107 @@
-\section{MOS structure}
-
-IDKF, lecture hasnt been given yet
\ No newline at end of file
+\section{MOS structure}
+
+\begin{figure}[h]
+ \centering
+ \caption{Gate structure}
+ \begin{tikzpicture}
+ \draw (0,0) rectangle ++(1,2)
+ rectangle ++(2,-2)
+ rectangle ++(2,2)
+ rectangle ++(3,-2)
+ ;
+ \node at (0.5,1) () {$M$};
+ \node at (2,1) () {$SiO_2$};
+ \node at (4,1) () {$SCR$};
+ \node at (6,1) () {$p-Si$};
+ \end{tikzpicture}
+\end{figure}
+
+
+Where $M$ is the metal, $SiO_2$ is the gate oxide, $SCR$ is the space charge region and $p-Si$ is the p doped substrate.
+(note that in for the SCR, there is short between the metal and the bulk.)
+
+
+\subsection{Electrostatic analysis}
+\begin{figure}[h]
+ \centering
+ \caption{Charge distribution at thermal equilibrium}
+ \begin{tikzpicture}
+ \draw (0,0) rectangle ++(1,2)
+ rectangle ++(2,-2)
+ rectangle ++(2,2)
+ rectangle ++(3,-2)
+ ;
+ \node at (0.5,1) () {$M$};
+ \node at (2,1) () {$SiO_2$};
+ \node at (4,1) () {$SCR$};
+ \node at (6,1) () {$p-Si$};
+
+ \draw[red] (0,0.2) node[left](){$0$} -- ++(1,0)
+ -- ++(0,1.5)
+ -- ++(0,-1.5)
+ -- ++(2,0)
+ -- ++(0,-0.5)
+ -- ++(2,0)
+ -- ++(0,0.5)
+ -- ++(3,0)
+ ;
+ \node[red] at (4,0.2) () {$Q_M$};
+ \end{tikzpicture}
+\end{figure}
+
+Where at the interface of the metal and the oxide, we have continuity of the electric displacement:
+
+\begin{align}
+ \varepsilon_{ox} E_{ox} & = Q_M \\
+ \Rightarrow E_{ox} & = \frac{Q_M}{\varepsilon_{ox}} \\
+ D_{ox} & = D_{sc,int} \\
+ \Rightarrow \varepsilon{ox}E_{ox} & = \varepsilon{sc}E_{sc,int} \\
+ \Rightarrow \frac{E_{ox}}{E_{sc,int}} & = \frac{\varepsilon_{r,sc}}{\varepsilon_{r,ox}}\qquad\approx 3
+\end{align}
+
+And at the interface of the SCR and the substrate we have the following displacement continuity:
+\begin{align}
+ \varepsilon_{sc} E_{sc}(x) & = -qN_A\left(x_D - x\right) \\
+ \Rightarrow E_{sc}(x) & = -\frac{qN_A}{\varepsilon_{sc}}\left(x-x_D\right)
+\end{align}
+
+
+\subsection{Electrostatic potential}
+Nothing new, just integrate over the electric field.
+(see \autoref{fig:mos_electrostaticpotential})
+\begin{figure}[h]
+ \centering
+ \caption{Electrostatic potential of MOS}
+ \label{fig:mos_electrostaticpotential}
+ \includegraphics[width=.95\textwidth]{imgs/nmos_electrostaticpotential.png}
+\end{figure}
+
+\begin{equation}
+ \phi(x) = \begin{cases}
+ \phi_p & : x_D < x \\
+ \phi_p + \frac{q N_A}{2\varepsilon_{sc}}\left(x - x_D\right)^2 & : 0 < x < x_D \\
+ \phi_p + \frac{q N_A}{2\varepsilon_{sc}}x_D^2 - \frac{q N_A x_D}{\varepsilon_{sc}}x & : -t_{ox}<x<0 \\
+ \phi_{n+} & : x<t_{ox}
+ \end{cases}
+\end{equation}
+
+and so finally
+
+\begin{align}
+ \begin{split}
+ \phi_B &= V_B + V_{ox}\\
+ &= \frac{q N_A x_D^2}{2\varepsilon_{sc}}+\frac{1 N_A x_D t_{ox}}{\varepsilon_{ox}}
+ \end{split} \\
+ \begin{split}
+ x_D & =\frac{\varepsilon_{sc}}{\varepsilon_{ox}}t_{ox}\left(
+ \sqrt{1 + \frac{2\varepsilon_{ox}^2 \phi_B}{\varepsilon_{sc} q N_A t_{ox}^2}} - 1
+ \right)\\
+ &=\frac{\varepsilon_{sc}}{C_{ox}} \left( \sqrt{1+\frac{4\phi_B}{\gamma^2}}-1 \right)
+ \end{split} \\
+ C_{ox} & = \frac{\varepsilon_{ox}}{t_{ox}} \\
+ \gamma & = \frac{1}{C_{ox}}\sqrt{2\varepsilon q N_A}
+\end{align}
+
+
+
+\subsection{Contact potential}
diff --git a/format.tex b/format.tex
index 45caad0fa7ef1784775089b1b5bb8bfc00d3941a..e47d0625b6740090152b3f4a926f394683cfa8e0 100644
--- a/format.tex
+++ b/format.tex
@@ -1,61 +1,63 @@
-\documentclass[11pt, a4paper]{article}
-
-\usepackage[utf8]{inputenc}
-\usepackage[T1]{fontenc}
-\usepackage{lmodern}
-\usepackage{fourier}
-
-% even-odd
-% \setlength{\textwidth}{146.8mm} % = 210mm - 37mm - 26.2mm
-% \setlength{\oddsidemargin}{11.6mm} % 37mm - 1in (from offset)
-% \setlength{\evensidemargin}{0.8mm} % = 26.2mm - 1in (from offset)
-% \setlength{\topmargin}{-2.2mm} % = 0mm -1in + 23.2mm
-% \setlength{\textheight}{221.9mm} % = 297mm -29.5mm -31.6mm - 14mm (It works, trust me)
-% all same: (for even odd, comment out geometry)
-\usepackage[a4paper,top=22mm,bottom=28mm,inner=30mm,outer=30mm]{geometry}
-
-
-% \usepackage[french, nswissgerman, english]{babel}
-\usepackage[english]{babel}
-
-\usepackage[parfill]{parskip}
-\usepackage{microtype}
-\usepackage{amsmath}
-\usepackage{amsfonts}
-\usepackage{amssymb}
-\usepackage{mathtools}
-\usepackage{subcaption}
-\usepackage{graphicx, xcolor}
-
-
-
-\usepackage[european,straightvoltages]{circuitikz}
-\usepackage{tikz}
-
-\usepackage{url}
-\usepackage[pdfusetitle]{hyperref}
-\hypersetup{
- pdfborder={0 0 0},
- colorlinks=true,
- linkcolor=black,
- citecolor=black,
- urlcolor=black,
- bookmarksopen=false,
-}
-\urlstyle{same}
-% \usepackage{comment}
-\setlength{\headheight}{14pt}
-
-%Fancy is fancy :)
-\usepackage{fancyhdr}
-\pagestyle{fancy}
-\fancyhf{}
-\fancyfoot{}
-\fancyhead{}
-\rhead{\today}
-\lhead{}
-\cfoot{\thepage}
-
-
-
-\numberwithin{equation}{subsection}
+\documentclass[11pt, a4paper]{article}
+
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage{lmodern}
+\usepackage{fourier}
+
+% even-odd
+% \setlength{\textwidth}{146.8mm} % = 210mm - 37mm - 26.2mm
+% \setlength{\oddsidemargin}{11.6mm} % 37mm - 1in (from offset)
+% \setlength{\evensidemargin}{0.8mm} % = 26.2mm - 1in (from offset)
+% \setlength{\topmargin}{-2.2mm} % = 0mm -1in + 23.2mm
+% \setlength{\textheight}{221.9mm} % = 297mm -29.5mm -31.6mm - 14mm (It works, trust me)
+% all same: (for even odd, comment out geometry)
+\usepackage[a4paper,top=22mm,bottom=28mm,inner=30mm,outer=30mm]{geometry}
+
+
+% \usepackage[french, nswissgerman, english]{babel}
+\usepackage[english]{babel}
+
+\usepackage[parfill]{parskip}
+\usepackage{microtype}
+\usepackage{amsmath}
+\usepackage{amsfonts}
+\usepackage{amssymb}
+\usepackage{mathtools}
+\usepackage{subcaption}
+\usepackage{graphicx, xcolor}
+
+
+
+\usepackage[european,straightvoltages]{circuitikz}
+\usepackage{tikz}
+
+\usepackage{url}
+\usepackage[pdfusetitle]{hyperref}
+\hypersetup{
+ pdfborder={0 0 0},
+ colorlinks=true,
+ linkcolor=black,
+ citecolor=black,
+ urlcolor=black,
+ bookmarksopen=false,
+}
+\urlstyle{same}
+% \usepackage{comment}
+\setlength{\headheight}{14pt}
+
+%Fancy is fancy :)
+\usepackage{fancyhdr}
+\pagestyle{fancy}
+\fancyhf{}
+\fancyfoot{}
+\fancyhead{}
+\rhead{\today}
+\lhead{}
+\cfoot{\thepage}
+
+
+
+\numberwithin{equation}{subsection}
+\numberwithin{figure}{subsection}
+\numberwithin{table}{subsection}
diff --git a/imgs/nmos_electrostaticpotential.png b/imgs/nmos_electrostaticpotential.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4f85837170be400b853cdd8d90b59352ac0f6e6
Binary files /dev/null and b/imgs/nmos_electrostaticpotential.png differ