Nezbeda equation of state for hard convex bodies: Difference between revisions

Revision as of 12:16, 21 May 2007

The Nezbeda equation of state (EOS) for hard convex bodies is given by (Eq. 13 in Ref. 1)

Z={\frac {P}{\rho kT}}={\frac {1+(3\alpha -2)y+(\alpha ^{2}+\alpha -1)y^{2}-\alpha (5\alpha -4)y^{3}}{(1-y)^{3}}}

where $y$ is the packing ratio, given by $y=\rho V$ , and

\alpha ={\frac {RS}{3V}}

where $V$ is the volume, $S$ , the surface area, and $R$ the mean radius of curvature.

@@ Line 1: / Line 1: @@
-The '''Nezbeda''' equation of state (EOS) for hard ellipsoids is given by
+The '''Nezbeda''' equation of state (EOS) for hard convex bodies is given by (Eq. 13 in Ref. 1)
+:<math>Z= \frac{P}{\rho kT}=\frac{1+(3\alpha-2)y + (\alpha^2 + \alpha -1)y^2 - \alpha(5\alpha-4)y^3}{(1-y)^3}</math>
+where <math>y</math> is the packing ratio, given by <math>y=\rho V</math>, and
+:<math>\alpha= \frac{RS}{3V}</math>
+where <math>V</math> is
+the volume, <math>S</math>, the surface area,  and <math>R</math> the mean radius of curvature.
 ==References==
 #[http://dx.doi.org/10.1016/0009-2614(76)85246-3  I. Nezbeda  "Virial expansion and an improved equation of state for the hard convex molecule system", Chemical Physics Letters  '''41''' pp. 55-58 (1976)]