%% $Date: 2012-07-06 17:42:54#$
%% $Revision: 148 $
\index{diameter\_effective\_dmt}
\algdesc{Effective diameter}
{ %%%%%% Algorithm name %%%%%%
diameter\_effective\_dmt
}
{ %%%%%% Algorithm summary %%%%%%
Calculates effective diameter of a size distribution. In general, this definition is only meaningful
for water clouds, and another form must be used when in ice clouds.  
}
{ %%%%%% Category %%%%%%
Microphysics
}
{ %%%%%% Inputs %%%%%%
$c_i$ & Array[time, bins] & Number concentration of hydrometeors in size category $i$ [cm$^{-3}$] \\
$d_i$ & Vector[bins] & Average diameter in size category $i$ [$\mu$m]
}
{ %%%%%% Outputs %%%%%%
$D_e$ & Vector[time] & Effective diameter [$\mu$m]
}
{ %%%%%% Formula %%%%%%
\begin{displaymath}
 D_e = \frac{3 \sum\limits_{i=1}^m c_i d_i^3}{4 \sum\limits_{i=1}^{m} c_i d_i^2}
\end{displaymath}
}
{ %%%%%% Author %%%%%%

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


