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\begin{document}

\title{FBR benchmark}
\author{\normalfont Alain H\'ebert and Charlotte Bay \\ ~ \\ \'Ecole Polytechnique de Montr\'eal}
\maketitle

\chapter{Lattice calculations}

\section{Determination of isotopic number densities}

Benchmark specifications are given in term of nuclide fractions $f_i$ for the isotopes of a given element,
and in term of mass fractions $F_j$ for mixtures of elements.

The number density $N_{i,j}$ of isotope $i$ of element $j$ is computed as
$$
N_{i,j}=f_i\, F_j { \rho_j \, A_0\over \sum_{i=1}^I f_i M_{i,j}}
$$
\noindent where $\rho_j$ is the element density (g/cc), $M_{i,j}$ is the atomic mass of nuclide $i$ (u) and $A_0$ is the Avogadro number set as $A_0=6.022094\times 10^{23}$ u/g.
\goodbreak

\section{Fissile assembly (MOX)}

%
\vspace{2pt}
\begin{figure}[h!]
\centering
\includegraphics[scale=0.65]{./pin.eps}
\parbox{11cm}{\caption{Fuel pin.}\label{fig:fissile}}   
\vspace{2pt}
\end{figure}
%

%
\vspace{2pt}
\begin{figure}[h!]
\centering
\includegraphics[scale=0.65]{./hex_fissile.eps}
\parbox{11cm}{\caption{Fissile MOX assembly.}\label{fig:fissile}}   
\vspace{2pt}
\end{figure}
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\clearpage

\section{Fertile assembly (MOX)}

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\vspace{2pt}
\begin{figure}[h!]
\centering
\includegraphics[scale=0.65]{./hex_colorset.eps}
\parbox{11cm}{\caption{Fissile UOX/MOX colorset.}\label{fig:fertile}}   
\vspace{2pt}
\end{figure}
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\chapter{Full-core calculations}

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\vspace{2pt}
\begin{figure}[h!]
\centering
\includegraphics[scale=0.65]{./fbr_core.eps}
\parbox{11cm}{\caption{Radial core layout.}\label{fig:core}}   
\vspace{2pt}
\end{figure}
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%
\vspace{2pt}
\begin{figure}[h!]
\centering
\includegraphics[scale=0.65]{./fbr_axial_core.eps}
\parbox{11cm}{\caption{Axial core layout.}\label{fig:axial}}   
\vspace{2pt}
\end{figure}
%

\end{document}
