Hard spherocylinders: Difference between revisions

Revision as of 12:37, 22 March 2007

The molecular volume of the spherocylinder is given by

v_{0}=\pi \left({\frac {LD^{2}}{4}}+{\frac {D^{3}}{6}}\right)

where $L$ is the length of the cylindrical part of the spherocylinder and $D$ is the diameter.

@@ Line 1: / Line 1: @@
 [[Image:spherocylinder_purple.png|thumb|right]]
-The volume of the spherocylinder is given by
+The molecular volume of the spherocylinder  is given by
-:<math>\frac{4}{3} \pi r^3 + L \pi r^2</math>
+:<math>v_0 = \pi \left( \frac{LD^2}{4} + \frac{D^3}{6} \right)</math>
-where <math>L</math> is the length of the spherocylinder and <math>r</math> is the radius.
+where <math>L</math> is the length of the cylindrical part of the spherocylinder and <math>D</math> is the diameter.
 ==References==
 #[http://dx.doi.org/10.1063/1.2207141  Giorgio Cinacchi and Yuri Martínez-Ratón and Luis Mederos and Enrique Velasco "Smectic, nematic, and isotropic phases in binary mixtures of thin and thick hard spherocylinders", Journal of Chemical Physics '''124''' pp. 234904 (2006)]