Cylindrical micelle geometry
= Cylindrical micelle geometry
{title2=$R=2v/a_0$}
For a long cylindrical <micelle> with negligible end caps, incompressible tail <volume> $v$ and head-group <area> $a_0$ give $v/a_0=R/2$. The geometric requirement $R\leq\ell_c$ bounds the <amphiphile packing parameter> by $1/2$. The conventional cylindrical range is approximately $1/3\lesssim v/(a_0\ell_c)\lesssim1/2$; aggregate transitions also depend on interactions and chain conformations.