%% $Date: 2012-07-06 17:42:54#$
%% $Revision: 148 $
\index{mass\_conc\_dmt}
\algdesc{Mass Concentration}
{ %%%%%% Algorithm name %%%%%%
mass\_conc\_dmt
}
{ %%%%%% Algorithm summary %%%%%%
Calculates mass concentration given a size distribution. Can be used to calculate liquid or ice
water content depending on the types of hydrometeors being sampled.
}
{ %%%%%% Category %%%%%%
Microphysics
}
{ %%%%%% Inputs %%%%%%
$c_i$ & Array[time, bins] & Number concentration of hydrometeors in size category $i$ [cm$^{-3}$] \\
$d_i$ & Vector[bins] & Average diameter of size category $i$ [$\mu$m] \\
$s_i$ & Array[time, bins] & Shape factor of the hydrometeor of size category $i$ to account for asphericity \\
$\rho_i$ & Vector[time, bins] & Density of the hydrometeor in size category $i$ [g cm$^{-3}$]
}
{ %%%%%% Outputs %%%%%%
$M$ & Vector[time] & Mass concentration [g cm$^{-3}$]
}
{ %%%%%% Formula %%%%%%
\begin{displaymath}
 M = \frac{\pi}{6} \sum \limits_{i=1}^{m} s_i \rho_i c_i d_i^3
\end{displaymath}


}
{ %%%%%% Author %%%%%%

}
{ %%%%%% References %%%%%% 
    ``Data Analysis User's Guide Chapter I: Single Particle Light Scattering,`` Droplet Measurement Technologies, 30. \cite{DMT1}
}


