\subsection{SiC polytypes}
Each of the four sp$^3$ hybridized orbitals of the Si atom overlaps with one of the four sp$^3$ hybridized orbitals of the four surrounding C atoms and vice versa.
-This results in fourfold coordinated covalent $\sigma$ bond of equal length and strength for each atom with its neighbours.
+This results in fourfold coordinated covalent $\sigma$ bonds of equal length and strength for each atom with its neighbours.
Although the local order of Si and C next neighbour atoms characterized by the tetrahedral bonding is the same, more than 250 different types of structures called polytypes of SiC exist \cite{fischer90}.
The polytypes differ in the one-dimensional stacking sequence of identical, closed-packed SiC bilayers.
\section{Ion beam synthesis of cubic silicon carbide}
\section{Assumed precipitation mechanism of cubic silicon carbide in silicon}
+\label{section:assumed_prec}
\section{Substoichiometric concentrations of carbon in crystalline silicon}